A biquadratic primesieve
Inhaltsverzeichnis

Development of
Algorithmic Constructions

00:32:24
DeutschEnglish
19.Mar 2024

Legende:

This is a projection from the unit circle with the rational points into a complex lattice, where the Pythagorain primes A002144 build an infinite subgroup of the primes with an Euclidean distance.
The mathematical composition is based on the additionstheorem of the tangens.

u, v with gcd (u,v)=1; u > v
a, b, c a primitiv pyth. trippel with a2 + b2 = c2; a=u2 - v2, b=2uv, c=u2 + v2
f(u,v) = u2 + v2 = (u + vI)(u - vI) = c
Marked prime = 6829


u=2, v=1 f(u,1)=u2+1;↓

a=3,b=4,c=5

alpha/2 = 1 / 3
= 4553 mod 6829

(1365, 2731i) 1138=1 mod 6829

5

3, 1u=3, v=2 f(u,2)=u2+4;↓

a=5,b=12,c=13

alpha/2 = 1 / 5
= 1366 mod 6829

(1051, 1575i) 1707=1 mod 6829

13

u=4, v=1 f(4,v)=16+v2;→

a=15,b=8,c=17

alpha/2 = 3 / 5
= 4098 mod 6829

(1206, 2009i) 3414=1 mod 6829

17

4, 2u=4, v=3 f(u,3)=u2+9;↓

a=7,b=24,c=25

alpha/2 = 1 / 7
= 4878 mod 6829

(1638, 2185i) 1138=1 mod 6829

5*5 = 25

5, 1u=5, v=2

a=21,b=20,c=29

alpha/2 = 3 / 7
= 976 mod 6829

(2591, 3062i) 1707=1 mod 6829

29

5, 3u=5, v=4 f(u,4)=u2+16;↓

a=9,b=40,c=41

alpha/2 = 1 / 9
= 3794 mod 6829

(2664, 3331i) 3414=1 mod 6829

41

u=6, v=1 f(6,v)=36+v2;→

a=35,b=12,c=37

alpha/2 = 5 / 7
= 3903 mod 6829

(1846, 2583i) 3414=1 mod 6829

37

6, 26, 36, 4u=6, v=5 f(u,5)=u2+25;↓

a=11,b=60,c=61

alpha/2 = 1 / 11
= 3725 mod 6829

(2240, 2687i) 3414=1 mod 6829

61

7, 1u=7, v=2

a=45,b=28,c=53

alpha/2 = 5 / 9
= 5312 mod 6829

(128, 2963i) 1138=1 mod 6829

53

7, 3u=7, v=4 → 8, 1

a=33,b=56,c=65

alpha/2 = 3 / 11
= 4346 mod 6829

(841, 1470i) 1707=1 mod 6829

5*13 = 65

7, 5u=7, v=6 f(u,6)=u2+36;↓ → 9, 2

a=13,b=84,c=85

alpha/2 = 1 / 13
= 1576 mod 6829

(1848, 3293i) 3414=1 mod 6829

5*17 = 85

u=8, v=1 f(8,v)=64+v2;→ → 7, 4

a=63,b=16,c=65

alpha/2 = 7 / 9
= 6071 mod 6829

(420, 3361i) 3414=1 mod 6829

5*13 = 65

8, 2u=8, v=3

a=55,b=48,c=73

alpha/2 = 5 / 11
= 4967 mod 6829

(2433, 2620i) 3414=1 mod 6829

73

8, 4u=8, v=5

a=39,b=80,c=89

alpha/2 = 3 / 13
= 4728 mod 6829

(2533, 2686i) 1707=1 mod 6829

89

8, 6u=8, v=7 f(u,7)=u2+49;↓

a=15,b=112,c=113

alpha/2 = 1 / 15
= 5008 mod 6829

(121, 1814i) 1707=1 mod 6829

113

9, 1u=9, v=2 → 7, 6

a=77,b=36,c=85

alpha/2 = 7 / 11
= 5588 mod 6829

(965, 2491i) 3414=1 mod 6829

5*17 = 85

9, 3u=9, v=4

a=65,b=72,c=97

alpha/2 = 5 / 13
= 1051 mod 6829

(1972, 2393i) 1707=1 mod 6829

97

9, 59, 69, 7u=9, v=8 f(u,8)=u2+64;↓ → 12, 1

a=17,b=144,c=145

alpha/2 = 1 / 17
= 2812 mod 6829

(1459, 2496i) 1707=1 mod 6829

5*29 = 145

u=10, v=1 f(10,v)=100+v2;→

a=99,b=20,c=101

alpha/2 = 9 / 11
= 6209 mod 6829

(878, 1961i) 3414=1 mod 6829

101

10, 2u=10, v=3

a=91,b=60,c=109

alpha/2 = 7 / 13
= 4203 mod 6829

(690, 2256i) 569=1 mod 6829

109

10, 410, 510, 6u=10, v=7

a=51,b=140,c=149

alpha/2 = 3 / 17
= 1607 mod 6829

(367, 2474i) 1707=1 mod 6829

149

10, 8u=10, v=9 f(u,9)=u2+81;↓

a=19,b=180,c=181

alpha/2 = 1 / 19
= 2516 mod 6829

(264, 1812i) 1707=1 mod 6829

181

11, 1u=11, v=2

a=117,b=44,c=125

alpha/2 = 9 / 13
= 526 mod 6829

(1476, 2131i) 569=1 mod 6829

5*5*5 = 125

11, 3u=11, v=4

a=105,b=88,c=137

alpha/2 = 7 / 15
= 911 mod 6829

(250, 2392i) 3414=1 mod 6829

137

11, 5u=11, v=6

a=85,b=132,c=157

alpha/2 = 5 / 17
= 402 mod 6829

(566, 2174i) 3414=1 mod 6829

157

11, 7u=11, v=8 → 13, 4

a=57,b=176,c=185

alpha/2 = 3 / 19
= 719 mod 6829

(295, 407i) 1707=1 mod 6829

5*37 = 185

11, 9u=11, v=10 f(u,10)=u2+100;↓ → 14, 5

a=21,b=220,c=221

alpha/2 = 1 / 21
= 1626 mod 6829

(310, 340i) 569=1 mod 6829

13*17 = 221

u=12, v=1 f(12,v)=144+v2;→ → 9, 8

a=143,b=24,c=145

alpha/2 = 11 / 13
= 3678 mod 6829

(895, 2919i) 1707=1 mod 6829

5*29 = 145

12, 212, 312, 4u=12, v=5

a=119,b=120,c=169

alpha/2 = 7 / 17
= 6026 mod 6829

(1415, 3395i) 3414=1 mod 6829

13*13 = 169

12, 6u=12, v=7

a=95,b=168,c=193

alpha/2 = 5 / 19
= 5751 mod 6829

(1556, 3185i) 1707=1 mod 6829

193

12, 812, 912, 10u=12, v=11 f(u,11)=u2+121;↓ → 16, 3

a=23,b=264,c=265

alpha/2 = 1 / 23
= 3563 mod 6829

(438, 3246i) 1138=1 mod 6829

5*53 = 265

13, 1u=13, v=2

a=165,b=52,c=173

alpha/2 = 11 / 15
= 456 mod 6829

(828, 1974i) 3414=1 mod 6829

173

13, 3u=13, v=4 → 11, 8

a=153,b=104,c=185

alpha/2 = 9 / 17
= 4821 mod 6829

(73, 3174i) 1707=1 mod 6829

5*37 = 185

13, 5u=13, v=6 → 14, 3

a=133,b=156,c=205

alpha/2 = 7 / 19
= 3954 mod 6829

(1200, 2599i) 3414=1 mod 6829

5*41 = 205

13, 7u=13, v=8

a=105,b=208,c=233

alpha/2 = 5 / 21
= 1301 mod 6829

(675, 1465i) 3414=1 mod 6829

233

13, 9u=13, v=10

a=69,b=260,c=269

alpha/2 = 3 / 23
= 3860 mod 6829

(1625, 3352i) 3414=1 mod 6829

269

13, 11u=13, v=12 f(u,12)=u2+144;↓

a=25,b=312,c=313

alpha/2 = 1 / 25
= 1639 mod 6829

(239, 829i) 1138=1 mod 6829

313

u=14, v=1 f(14,v)=196+v2;→

a=195,b=28,c=197

alpha/2 = 13 / 15
= 3643 mod 6829

(207, 2912i) 3414=1 mod 6829

197

14, 2u=14, v=3 → 13, 6

a=187,b=84,c=205

alpha/2 = 11 / 17
= 3616 mod 6829

(2764, 3031i) 1707=1 mod 6829

5*41 = 205

14, 4u=14, v=5 → 11, 10

a=171,b=140,c=221

alpha/2 = 9 / 19
= 2157 mod 6829

(1793, 2286i) 3414=1 mod 6829

13*17 = 221

14, 614, 714, 8u=14, v=9

a=115,b=252,c=277

alpha/2 = 5 / 23
= 4157 mod 6829

(468, 788i) 3414=1 mod 6829

277

14, 10u=14, v=11

a=75,b=308,c=317

alpha/2 = 3 / 25
= 4917 mod 6829

(1637, 2261i) 569=1 mod 6829

317

14, 12u=14, v=13 f(u,13)=u2+169;↓ → 19, 2

a=27,b=364,c=365

alpha/2 = 1 / 27
= 3541 mod 6829

(579, 2002i) 1707=1 mod 6829

5*73 = 365

15, 1u=15, v=2

a=221,b=60,c=229

alpha/2 = 13 / 17
= 2411 mod 6829

(2327, 3042i) 3414=1 mod 6829

229

15, 3u=15, v=4

a=209,b=120,c=241

alpha/2 = 11 / 19
= 360 mod 6829

(1361, 1729i) 569=1 mod 6829

241

15, 515, 615, 7u=15, v=8

a=161,b=240,c=289

alpha/2 = 7 / 23
= 4454 mod 6829

(283, 2882i) 1707=1 mod 6829

17*17 = 289

15, 915, 1015, 1115, 1215, 13u=15, v=14 f(u,14)=u2+196;↓

a=29,b=420,c=421

alpha/2 = 1 / 29
= 471 mod 6829

(519, 1394i) 1707=1 mod 6829

421

u=16, v=1 f(16,v)=256+v2;→

a=255,b=32,c=257

alpha/2 = 15 / 17
= 1206 mod 6829

(373, 877i) 3414=1 mod 6829

257

16, 2u=16, v=3 → 12, 11

a=247,b=96,c=265

alpha/2 = 13 / 19
= 5392 mod 6829

(2422, 3016i) 569=1 mod 6829

5*53 = 265

16, 4u=16, v=5

a=231,b=160,c=281

alpha/2 = 11 / 21
= 4228 mod 6829

(1190, 1652i) 1707=1 mod 6829

281

16, 6u=16, v=7 → 17, 4

a=207,b=224,c=305

alpha/2 = 9 / 23
= 4751 mod 6829

(762, 1186i) 3414=1 mod 6829

5*61 = 305

16, 8u=16, v=9

a=175,b=288,c=337

alpha/2 = 7 / 25
= 4644 mod 6829

(2007, 3262i) 569=1 mod 6829

337

16, 10u=16, v=11 → 19, 4

a=135,b=352,c=377

alpha/2 = 5 / 27
= 4047 mod 6829

(1214, 3006i) 3414=1 mod 6829

13*29 = 377

16, 12u=16, v=13 → 19, 8

a=87,b=416,c=425

alpha/2 = 3 / 29
= 1413 mod 6829

(48, 465i) 3414=1 mod 6829

5*5*17 = 425

16, 14u=16, v=15 f(u,15)=u2+225;↓ → 20, 9

a=31,b=480,c=481

alpha/2 = 1 / 31
= 5287 mod 6829

(1149, 1505i) 1138=1 mod 6829

13*37 = 481

17, 1u=17, v=2

a=285,b=68,c=293

alpha/2 = 15 / 19
= 3595 mod 6829

(1211, 3356i) 1707=1 mod 6829

293

17, 3u=17, v=4 → 16, 7

a=273,b=136,c=305

alpha/2 = 13 / 21
= 651 mod 6829

(1926, 2059i) 3414=1 mod 6829

5*61 = 305

17, 5u=17, v=6 → 18, 1

a=253,b=204,c=325

alpha/2 = 11 / 23
= 5048 mod 6829

(379, 1071i) 1707=1 mod 6829

5*5*13 = 325

17, 7u=17, v=8

a=225,b=272,c=353

alpha/2 = 9 / 25
= 1093 mod 6829

(1413, 2148i) 3414=1 mod 6829

353

17, 9u=17, v=10

a=189,b=340,c=389

alpha/2 = 7 / 27
= 4300 mod 6829

(912, 2546i) 3414=1 mod 6829

389

17, 11u=17, v=12

a=145,b=408,c=433

alpha/2 = 5 / 29
= 2355 mod 6829

(141, 1908i) 3414=1 mod 6829

433

17, 13u=17, v=14 → 22, 1

a=93,b=476,c=485

alpha/2 = 3 / 31
= 2203 mod 6829

(1084, 2097i) 3414=1 mod 6829

5*97 = 485

17, 15u=17, v=16 f(u,16)=u2+256;↓ → 23, 4

a=33,b=544,c=545

alpha/2 = 1 / 33
= 3518 mod 6829

(25, 826i) 569=1 mod 6829

5*109 = 545

u=18, v=1 f(18,v)=324+v2;→ → 17, 6

a=323,b=36,c=325

alpha/2 = 17 / 19
= 1798 mod 6829

(189, 3403i) 3414=1 mod 6829

5*5*13 = 325

18, 218, 318, 4u=18, v=5

a=299,b=180,c=349

alpha/2 = 13 / 23
= 5345 mod 6829

(684, 2466i) 1707=1 mod 6829

349

18, 6u=18, v=7

a=275,b=252,c=373

alpha/2 = 11 / 25
= 4371 mod 6829

(495, 3223i) 1138=1 mod 6829

373

18, 818, 918, 10u=18, v=11 → 21, 2

a=203,b=396,c=445

alpha/2 = 7 / 29
= 3297 mod 6829

(937, 951i) 1707=1 mod 6829

5*89 = 445

18, 12u=18, v=13 → 22, 3

a=155,b=468,c=493

alpha/2 = 5 / 31
= 5948 mod 6829

(2522, 3338i) 1138=1 mod 6829

17*29 = 493

18, 1418, 1518, 16u=18, v=17 f(u,17)=u2+289;↓

a=35,b=612,c=613

alpha/2 = 1 / 35
= 5073 mod 6829

(869, 3098i) 3414=1 mod 6829

613

19, 1u=19, v=2 → 14, 13

a=357,b=76,c=365

alpha/2 = 17 / 21
= 326 mod 6829

(2190, 3106i) 3414=1 mod 6829

5*73 = 365

19, 3u=19, v=4 → 16, 11

a=345,b=152,c=377

alpha/2 = 15 / 23
= 5642 mod 6829

(254, 2209i) 569=1 mod 6829

13*29 = 377

19, 5u=19, v=6

a=325,b=228,c=397

alpha/2 = 13 / 25
= 820 mod 6829

(293, 2065i) 1707=1 mod 6829

397

19, 7u=19, v=8 → 16, 13

a=297,b=304,c=425

alpha/2 = 11 / 27
= 4806 mod 6829

(1720, 3229i) 3414=1 mod 6829

5*5*17 = 425

19, 9u=19, v=10

a=261,b=380,c=461

alpha/2 = 9 / 29
= 4239 mod 6829

(919, 3110i) 3414=1 mod 6829

461

19, 11u=19, v=12 → 21, 8

a=217,b=456,c=505

alpha/2 = 7 / 31
= 2864 mod 6829

(636, 1840i) 3414=1 mod 6829

5*101 = 505

19, 13u=19, v=14

a=165,b=532,c=557

alpha/2 = 5 / 33
= 3932 mod 6829

(945, 2133i) 569=1 mod 6829

557

19, 15u=19, v=16

a=105,b=608,c=617

alpha/2 = 3 / 35
= 1561 mod 6829

(1460, 3387i) 569=1 mod 6829

617

19, 17u=19, v=18 f(u,18)=u2+324;↓ → 26, 3

a=37,b=684,c=685

alpha/2 = 1 / 37
= 1292 mod 6829

(668, 2601i) 3414=1 mod 6829

5*137 = 685

u=20, v=1 f(20,v)=400+v2;→

a=399,b=40,c=401

alpha/2 = 19 / 21
= 3578 mod 6829

(1142, 2333i) 1138=1 mod 6829

401

20, 2u=20, v=3

a=391,b=120,c=409

alpha/2 = 17 / 23
= 5939 mod 6829

(1085, 1871i) 1707=1 mod 6829

409

20, 420, 520, 6u=20, v=7

a=351,b=280,c=449

alpha/2 = 13 / 27
= 5059 mod 6829

(1263, 2632i) 569=1 mod 6829

449

20, 8u=20, v=9 → 16, 15

a=319,b=360,c=481

alpha/2 = 11 / 29
= 5181 mod 6829

(1916, 2569i) 1707=1 mod 6829

13*37 = 481

20, 10u=20, v=11

a=279,b=440,c=521

alpha/2 = 9 / 31
= 6609 mod 6829

(1849, 2740i) 569=1 mod 6829

521

20, 12u=20, v=13

a=231,b=520,c=569

alpha/2 = 7 / 33
= 4139 mod 6829

(589, 2772i) 3414=1 mod 6829

569

20, 1420, 1520, 16u=20, v=17 → 25, 8

a=111,b=680,c=689

alpha/2 = 3 / 37
= 3876 mod 6829

(466, 3359i) 3414=1 mod 6829

13*53 = 689

20, 18u=20, v=19 f(u,19)=u2+361;↓

a=39,b=760,c=761

alpha/2 = 1 / 39
= 5078 mod 6829

(342, 359i) 3414=1 mod 6829

761

21, 1u=21, v=2 → 18, 11

a=437,b=84,c=445

alpha/2 = 19 / 23
= 6236 mod 6829

(629, 3191i) 1707=1 mod 6829

5*89 = 445

21, 3u=21, v=4

a=425,b=168,c=457

alpha/2 = 17 / 25
= 547 mod 6829

(1479, 2644i) 1707=1 mod 6829

457

21, 521, 621, 7u=21, v=8 → 19, 12

a=377,b=336,c=505

alpha/2 = 13 / 29
= 6123 mod 6829

(1042, 1879i) 3414=1 mod 6829

5*101 = 505

21, 9u=21, v=10

a=341,b=420,c=541

alpha/2 = 11 / 31
= 3525 mod 6829

(2437, 3068i) 1707=1 mod 6829

541

21, 1121, 1221, 1321, 1421, 15u=21, v=16 → 24, 11

a=185,b=672,c=697

alpha/2 = 5 / 37
= 6460 mod 6829

(2713, 3135i) 569=1 mod 6829

17*41 = 697

21, 1721, 1821, 19u=21, v=20 f(u,20)=u2+400;↓

a=41,b=840,c=841

alpha/2 = 1 / 41
= 2665 mod 6829

(747, 3312i) 1707=1 mod 6829

29*29 = 841

u=22, v=1 f(22,v)=484+v2;→ → 17, 14

a=483,b=44,c=485

alpha/2 = 21 / 23
= 6533 mod 6829

(366, 1224i) 1707=1 mod 6829

5*97 = 485

22, 2u=22, v=3 → 18, 13

a=475,b=132,c=493

alpha/2 = 19 / 25
= 3825 mod 6829

(96, 1565i) 1707=1 mod 6829

17*29 = 493

22, 4u=22, v=5

a=459,b=220,c=509

alpha/2 = 17 / 27
= 5565 mod 6829

(1220, 1275i) 3414=1 mod 6829

509

22, 6u=22, v=7 → 23, 2

a=435,b=308,c=533

alpha/2 = 15 / 29
= 236 mod 6829

(398, 1679i) 1707=1 mod 6829

13*41 = 533

22, 8u=22, v=9 → 23, 6

a=403,b=396,c=565

alpha/2 = 13 / 31
= 441 mod 6829

(1353, 2551i) 1707=1 mod 6829

5*113 = 565

22, 1022, 1122, 12u=22, v=13

a=315,b=572,c=653

alpha/2 = 9 / 35
= 4683 mod 6829

(2363, 2950i) 569=1 mod 6829

653

22, 14u=22, v=15

a=259,b=660,c=709

alpha/2 = 7 / 37
= 2215 mod 6829

(2879, 3313i) 3414=1 mod 6829

709

22, 16u=22, v=17

a=195,b=748,c=773

alpha/2 = 5 / 39
= 4903 mod 6829

(266, 2067i) 1707=1 mod 6829

773

22, 18u=22, v=19 → 29, 2

a=123,b=836,c=845

alpha/2 = 3 / 41
= 1166 mod 6829

(905, 3264i) 1707=1 mod 6829

5*13*13 = 845

22, 20u=22, v=21 f(u,21)=u2+441;↓ → 27, 14

a=43,b=924,c=925

alpha/2 = 1 / 43
= 4288 mod 6829

(597, 1602i) 3414=1 mod 6829

5*5*37 = 925

23, 1u=23, v=2 → 22, 7

a=525,b=92,c=533

alpha/2 = 21 / 25
= 274 mod 6829

(1627, 1639i) 1138=1 mod 6829

13*41 = 533

23, 3u=23, v=4 → 17, 16

a=513,b=184,c=545

alpha/2 = 19 / 27
= 5818 mod 6829

(853, 1930i) 569=1 mod 6829

5*109 = 545

23, 5u=23, v=6 → 22, 9

a=493,b=276,c=565

alpha/2 = 17 / 29
= 1178 mod 6829

(158, 1740i) 1707=1 mod 6829

5*113 = 565

23, 7u=23, v=8

a=465,b=368,c=593

alpha/2 = 15 / 31
= 4186 mod 6829

(2360, 2602i) 1707=1 mod 6829

593

23, 9u=23, v=10 → 25, 2

a=429,b=460,c=629

alpha/2 = 13 / 33
= 4760 mod 6829

(815, 1541i) 1707=1 mod 6829

17*37 = 629

23, 11u=23, v=12

a=385,b=552,c=673

alpha/2 = 11 / 35
= 1171 mod 6829

(772, 3074i) 569=1 mod 6829

673

23, 13u=23, v=14 → 26, 7

a=333,b=644,c=725

alpha/2 = 9 / 37
= 4799 mod 6829

(1630, 3164i) 3414=1 mod 6829

5*5*29 = 725

23, 15u=23, v=16 → 28, 1

a=273,b=736,c=785

alpha/2 = 7 / 39
= 1401 mod 6829

(713, 1880i) 3414=1 mod 6829

5*157 = 785

23, 17u=23, v=18

a=205,b=828,c=853

alpha/2 = 5 / 41
= 6496 mod 6829

(41, 328i) 1707=1 mod 6829

853

23, 19u=23, v=20

a=129,b=920,c=929

alpha/2 = 3 / 43
= 6035 mod 6829

(1528, 3124i) 1707=1 mod 6829

929

23, 21u=23, v=22 f(u,22)=u2+484;↓

a=45,b=1012,c=1013

alpha/2 = 1 / 45
= 6222 mod 6829

(390, 2892i) 3414=1 mod 6829

1013

u=24, v=1 f(24,v)=576+v2;→

a=575,b=48,c=577

alpha/2 = 23 / 25
= 3552 mod 6829

(2438, 2948i) 1707=1 mod 6829

577

24, 224, 324, 4u=24, v=5

a=551,b=240,c=601

alpha/2 = 19 / 29
= 2120 mod 6829

(1829, 3317i) 569=1 mod 6829

601

24, 6u=24, v=7

a=527,b=336,c=625

alpha/2 = 17 / 31
= 1102 mod 6829

(1268, 1507i) 1138=1 mod 6829

5*5*5*5 = 625

24, 824, 924, 10u=24, v=11 → 21, 16

a=455,b=528,c=697

alpha/2 = 13 / 35
= 4488 mod 6829

(226, 3234i) 3414=1 mod 6829

17*41 = 697

24, 12u=24, v=13 → 27, 4

a=407,b=624,c=745

alpha/2 = 11 / 37
= 554 mod 6829

(175, 1898i) 3414=1 mod 6829

5*149 = 745

24, 1424, 1524, 16u=24, v=17 → 28, 9

a=287,b=816,c=865

alpha/2 = 7 / 41
= 4997 mod 6829

(522, 2076i) 1707=1 mod 6829

5*173 = 865

24, 18u=24, v=19

a=215,b=912,c=937

alpha/2 = 5 / 43
= 953 mod 6829

(2907, 3156i) 1707=1 mod 6829

937

24, 2024, 2124, 22u=24, v=23 f(u,23)=u2+529;↓ → 33, 4

a=47,b=1104,c=1105

alpha/2 = 1 / 47
= 1453 mod 6829

(173, 1303i) 3414=1 mod 6829

5*13*17 = 1105

25, 1u=25, v=2 → 23, 10

a=621,b=100,c=629

alpha/2 = 23 / 27
= 6324 mod 6829

(607, 771i) 1138=1 mod 6829

17*37 = 629

25, 3u=25, v=4

a=609,b=200,c=641

alpha/2 = 21 / 29
= 3062 mod 6829

(256, 1599i) 1707=1 mod 6829

641

25, 5u=25, v=6

a=589,b=300,c=661

alpha/2 = 19 / 31
= 4847 mod 6829

(557, 2325i) 569=1 mod 6829

661

25, 7u=25, v=8 → 20, 17

a=561,b=400,c=689

alpha/2 = 17 / 33
= 5174 mod 6829

(2259, 3181i) 3414=1 mod 6829

13*53 = 689

25, 925, 1025, 11u=25, v=12

a=481,b=600,c=769

alpha/2 = 13 / 37
= 3138 mod 6829

(621, 2434i) 1138=1 mod 6829

769

25, 13u=25, v=14

a=429,b=700,c=821

alpha/2 = 11 / 39
= 1226 mod 6829

(1696, 2054i) 1138=1 mod 6829

821

25, 15u=25, v=16

a=369,b=800,c=881

alpha/2 = 9 / 41
= 3498 mod 6829

(922, 1869i) 569=1 mod 6829

881

25, 17u=25, v=18 → 30, 7

a=301,b=900,c=949

alpha/2 = 7 / 43
= 2700 mod 6829

(627, 2008i) 569=1 mod 6829

13*73 = 949

25, 1925, 2025, 21u=25, v=22

a=141,b=1100,c=1109

alpha/2 = 3 / 47
= 4359 mod 6829

(1995, 2889i) 1138=1 mod 6829

1109

25, 23u=25, v=24 f(u,24)=u2+576;↓

a=49,b=1200,c=1201

alpha/2 = 1 / 49
= 2648 mod 6829

(671, 1267i) 569=1 mod 6829

1201

u=26, v=1 f(26,v)=676+v2;→

a=675,b=52,c=677

alpha/2 = 25 / 27
= 6577 mod 6829

(1745, 2432i) 3414=1 mod 6829

677

26, 2u=26, v=3 → 19, 18

a=667,b=156,c=685

alpha/2 = 23 / 29
= 4004 mod 6829

(968, 3001i) 3414=1 mod 6829

5*137 = 685

26, 4u=26, v=5

a=651,b=260,c=701

alpha/2 = 21 / 31
= 1763 mod 6829

(2756, 3410i) 3414=1 mod 6829

701

26, 6u=26, v=7 → 23, 14

a=627,b=364,c=725

alpha/2 = 19 / 33
= 5381 mod 6829

(1299, 2976i) 3414=1 mod 6829

5*5*29 = 725

26, 8u=26, v=9

a=595,b=468,c=757

alpha/2 = 17 / 35
= 4293 mod 6829

(1444, 2653i) 3414=1 mod 6829

757

26, 10u=26, v=11

a=555,b=572,c=797

alpha/2 = 15 / 37
= 5722 mod 6829

(352, 412i) 3414=1 mod 6829

797

26, 1226, 1326, 14u=26, v=15 → 30, 1

a=451,b=780,c=901

alpha/2 = 11 / 41
= 1999 mod 6829

(478, 539i) 1707=1 mod 6829

17*53 = 901

26, 16u=26, v=17 → 31, 2

a=387,b=884,c=965

alpha/2 = 9 / 43
= 4447 mod 6829

(1790, 2483i) 3414=1 mod 6829

5*193 = 965

26, 18u=26, v=19 → 29, 14

a=315,b=988,c=1037

alpha/2 = 7 / 45
= 2580 mod 6829

(429, 3102i) 1707=1 mod 6829

17*61 = 1037

26, 20u=26, v=21

a=235,b=1092,c=1117

alpha/2 = 5 / 47
= 436 mod 6829

(2310, 2861i) 1707=1 mod 6829

1117

26, 22u=26, v=23 → 34, 7

a=147,b=1196,c=1205

alpha/2 = 3 / 49
= 1115 mod 6829

(2165, 3337i) 569=1 mod 6829

5*241 = 1205

26, 24u=26, v=25 f(u,25)=u2+625;↓

a=51,b=1300,c=1301

alpha/2 = 1 / 51
= 5490 mod 6829

(1369, 1580i) 3414=1 mod 6829

1301

27, 1u=27, v=2

a=725,b=108,c=733

alpha/2 = 25 / 29
= 4946 mod 6829

(820, 2589i) 1138=1 mod 6829

733

27, 3u=27, v=4 → 24, 13

a=713,b=216,c=745

alpha/2 = 23 / 31
= 5508 mod 6829

(1759, 1778i) 1707=1 mod 6829

5*149 = 745

27, 527, 627, 7u=27, v=8 → 28, 3

a=665,b=432,c=793

alpha/2 = 19 / 35
= 781 mod 6829

(190, 1067i) 1138=1 mod 6829

13*61 = 793

27, 9u=27, v=10

a=629,b=540,c=829

alpha/2 = 17 / 37
= 1477 mod 6829

(1434, 2505i) 1138=1 mod 6829

829

27, 1127, 1227, 13u=27, v=14 → 22, 21

a=533,b=756,c=925

alpha/2 = 13 / 41
= 500 mod 6829

(1374, 2229i) 3414=1 mod 6829

5*5*37 = 925

27, 15u=27, v=16 → 29, 12

a=473,b=864,c=985

alpha/2 = 11 / 43
= 6194 mod 6829

(1088, 1150i) 3414=1 mod 6829

5*197 = 985

27, 1727, 1827, 19u=27, v=20

a=329,b=1080,c=1129

alpha/2 = 7 / 47
= 3342 mod 6829

(503, 2395i) 569=1 mod 6829

1129

27, 21u=27, v=22

a=245,b=1188,c=1213

alpha/2 = 5 / 49
= 6411 mod 6829

(1509, 2495i) 1707=1 mod 6829

1213

27, 2327, 2427, 25u=27, v=26 f(u,26)=u2+676;↓ → 37, 6

a=53,b=1404,c=1405

alpha/2 = 1 / 53
= 2577 mod 6829

(2124, 3309i) 1707=1 mod 6829

5*281 = 1405

u=28, v=1 f(28,v)=784+v2;→ → 23, 16

a=783,b=56,c=785

alpha/2 = 27 / 29
= 5888 mod 6829

(1332, 3123i) 3414=1 mod 6829

5*157 = 785

28, 2u=28, v=3 → 27, 8

a=775,b=168,c=793

alpha/2 = 25 / 31
= 2424 mod 6829

(576, 3109i) 1707=1 mod 6829

13*61 = 793

28, 4u=28, v=5

a=759,b=280,c=809

alpha/2 = 23 / 33
= 5795 mod 6829

(1747, 2508i) 3414=1 mod 6829

809

28, 628, 728, 8u=28, v=9 → 24, 17

a=703,b=504,c=865

alpha/2 = 19 / 37
= 4061 mod 6829

(481, 3015i) 1707=1 mod 6829

5*173 = 865

28, 10u=28, v=11 → 29, 8

a=663,b=616,c=905

alpha/2 = 17 / 39
= 4378 mod 6829

(876, 1608i) 3414=1 mod 6829

5*181 = 905

28, 12u=28, v=13

a=615,b=728,c=953

alpha/2 = 15 / 41
= 5830 mod 6829

(1540, 1934i) 1707=1 mod 6829

953

28, 14u=28, v=15

a=559,b=840,c=1009

alpha/2 = 13 / 43
= 1112 mod 6829

(1901, 2639i) 1707=1 mod 6829

1009

28, 16u=28, v=17 → 32, 7

a=495,b=952,c=1073

alpha/2 = 11 / 45
= 152 mod 6829

(2093, 2979i) 569=1 mod 6829

29*37 = 1073

28, 18u=28, v=19 → 32, 11

a=423,b=1064,c=1145

alpha/2 = 9 / 47
= 6248 mod 6829

(2321, 3060i) 1707=1 mod 6829

5*229 = 1145

28, 2028, 2128, 22u=28, v=23 → 32, 17

a=255,b=1288,c=1313

alpha/2 = 5 / 51
= 134 mod 6829

(1004, 2045i) 1138=1 mod 6829

13*101 = 1313

28, 24u=28, v=25

a=159,b=1400,c=1409

alpha/2 = 3 / 53
= 902 mod 6829

(1047, 1991i) 3414=1 mod 6829

1409

28, 26u=28, v=27 f(u,27)=u2+729;↓ → 37, 12

a=55,b=1512,c=1513

alpha/2 = 1 / 55
= 745 mod 6829

(1178, 3330i) 569=1 mod 6829

17*89 = 1513

29, 1u=29, v=2 → 22, 19

a=837,b=116,c=845

alpha/2 = 27 / 31
= 6169 mod 6829

(1867, 3169i) 3414=1 mod 6829

5*13*13 = 845

29, 3u=29, v=4

a=825,b=232,c=857

alpha/2 = 25 / 33
= 6002 mod 6829

(1762, 2598i) 1138=1 mod 6829

857

29, 5u=29, v=6

a=805,b=348,c=877

alpha/2 = 23 / 35
= 586 mod 6829

(234, 1130i) 3414=1 mod 6829

877

29, 7u=29, v=8 → 28, 11

a=777,b=464,c=905

alpha/2 = 21 / 37
= 6645 mod 6829

(2657, 2799i) 1707=1 mod 6829

5*181 = 905

29, 9u=29, v=10

a=741,b=580,c=941

alpha/2 = 19 / 39
= 876 mod 6829

(2918, 2998i) 1707=1 mod 6829

941

29, 11u=29, v=12 → 27, 16

a=697,b=696,c=985

alpha/2 = 17 / 41
= 4331 mod 6829

(547, 1892i) 1707=1 mod 6829

5*197 = 985

29, 13u=29, v=14 → 26, 19

a=645,b=812,c=1037

alpha/2 = 15 / 43
= 2859 mod 6829

(712, 3404i) 569=1 mod 6829

17*61 = 1037

29, 15u=29, v=16

a=585,b=928,c=1097

alpha/2 = 13 / 45
= 5767 mod 6829

(1792, 3249i) 3414=1 mod 6829

1097

29, 17u=29, v=18 → 34, 3

a=517,b=1044,c=1165

alpha/2 = 11 / 47
= 2325 mod 6829

(767, 1419i) 3414=1 mod 6829

5*233 = 1165

29, 19u=29, v=20 → 35, 4

a=441,b=1160,c=1241

alpha/2 = 9 / 49
= 3345 mod 6829

(693, 3055i) 1707=1 mod 6829

17*73 = 1241

29, 21u=29, v=22 → 34, 13

a=357,b=1276,c=1325

alpha/2 = 7 / 51
= 4285 mod 6829

(1716, 1772i) 1138=1 mod 6829

5*5*53 = 1325

29, 23u=29, v=24 → 36, 11

a=265,b=1392,c=1417

alpha/2 = 5 / 53
= 6056 mod 6829

(454, 3393i) 3414=1 mod 6829

13*109 = 1417

29, 25u=29, v=26 → 34, 19

a=165,b=1508,c=1517

alpha/2 = 3 / 55
= 2235 mod 6829

(297, 1383i) 569=1 mod 6829

37*41 = 1517

29, 27u=29, v=28 f(u,28)=u2+784;↓ → 37, 16

a=57,b=1624,c=1625

alpha/2 = 1 / 57
= 3115 mod 6829

(2450, 3071i) 1707=1 mod 6829

5*5*5*13 = 1625

u=30, v=1 f(30,v)=900+v2;→ → 26, 15

a=899,b=60,c=901

alpha/2 = 29 / 31
= 3085 mod 6829

(1909, 2668i) 1707=1 mod 6829

17*53 = 901

30, 230, 330, 430, 530, 6u=30, v=7 → 25, 18

a=851,b=420,c=949

alpha/2 = 23 / 37
= 2400 mod 6829

(1253, 2439i) 3414=1 mod 6829

13*73 = 949

30, 830, 930, 10u=30, v=11

a=779,b=660,c=1021

alpha/2 = 19 / 41
= 2832 mod 6829

(2949, 3131i) 3414=1 mod 6829

1021

30, 12u=30, v=13

a=731,b=780,c=1069

alpha/2 = 17 / 43
= 4606 mod 6829

(71, 2989i) 1707=1 mod 6829

1069

30, 1430, 1530, 16u=30, v=17 → 33, 10

a=611,b=1020,c=1189

alpha/2 = 13 / 47
= 5231 mod 6829

(1309, 2107i) 3414=1 mod 6829

29*41 = 1189

30, 18u=30, v=19 → 35, 6

a=539,b=1140,c=1261

alpha/2 = 11 / 49
= 1812 mod 6829

(2752, 3266i) 569=1 mod 6829

13*97 = 1261

30, 2030, 2130, 22u=30, v=23

a=371,b=1380,c=1429

alpha/2 = 7 / 53
= 4381 mod 6829

(2275, 3263i) 1138=1 mod 6829

1429

30, 2430, 2530, 2630, 2730, 28u=30, v=29 f(u,29)=u2+841;↓

a=59,b=1740,c=1741

alpha/2 = 1 / 59
= 463 mod 6829

(1466, 2224i) 3414=1 mod 6829

1741

31, 1u=31, v=2 → 26, 17

a=957,b=124,c=965

alpha/2 = 29 / 33
= 6416 mod 6829

(750, 2032i) 1707=1 mod 6829

5*193 = 965

31, 3u=31, v=4

a=945,b=248,c=977

alpha/2 = 27 / 35
= 391 mod 6829

(2558, 2753i) 569=1 mod 6829

977

31, 5u=31, v=6

a=925,b=372,c=997

alpha/2 = 25 / 37
= 4984 mod 6829

(1095, 1110i) 3414=1 mod 6829

997

31, 7u=31, v=8 → 32, 1

a=897,b=496,c=1025

alpha/2 = 23 / 39
= 701 mod 6829

(1380, 2339i) 1707=1 mod 6829

5*5*41 = 1025

31, 9u=31, v=10

a=861,b=620,c=1061

alpha/2 = 21 / 41
= 1333 mod 6829

(952, 2511i) 1138=1 mod 6829

1061

31, 11u=31, v=12 → 24, 23 → 33, 4

a=817,b=744,c=1105

alpha/2 = 19 / 43
= 6353 mod 6829

(44, 458i) 1138=1 mod 6829

5*13*17 = 1105

31, 13u=31, v=14 → 34, 1

a=765,b=868,c=1157

alpha/2 = 17 / 45
= 3339 mod 6829

(2403, 2881i) 1707=1 mod 6829

13*89 = 1157

31, 15u=31, v=16

a=705,b=992,c=1217

alpha/2 = 15 / 47
= 1308 mod 6829

(583, 2283i) 3414=1 mod 6829

1217

31, 17u=31, v=18 → 33, 14

a=637,b=1116,c=1285

alpha/2 = 13 / 49
= 279 mod 6829

(888, 1907i) 3414=1 mod 6829

5*257 = 1285

31, 19u=31, v=20

a=561,b=1240,c=1361

alpha/2 = 11 / 51
= 5758 mod 6829

(2018, 2444i) 1707=1 mod 6829

1361

31, 21u=31, v=22 → 38, 1

a=477,b=1364,c=1445

alpha/2 = 9 / 53
= 2706 mod 6829

(770, 776i) 1707=1 mod 6829

5*17*17 = 1445

31, 23u=31, v=24 → 39, 4

a=385,b=1488,c=1537

alpha/2 = 7 / 55
= 5215 mod 6829

(821, 1346i) 3414=1 mod 6829

29*53 = 1537

31, 25u=31, v=26

a=285,b=1612,c=1637

alpha/2 = 5 / 57
= 1917 mod 6829

(1527, 2383i) 1707=1 mod 6829

1637

31, 27u=31, v=28 → 41, 8

a=177,b=1736,c=1745

alpha/2 = 3 / 59
= 1389 mod 6829

(3080, 3165i) 1707=1 mod 6829

5*349 = 1745

31, 29u=31, v=30 f(u,30)=u2+900;↓

a=61,b=1860,c=1861

alpha/2 = 1 / 61
= 4590 mod 6829

(2176, 2986i) 1707=1 mod 6829

1861

u=32, v=1 f(32,v)=1024+v2;→ → 31, 8

a=1023,b=64,c=1025

alpha/2 = 31 / 33
= 6623 mod 6829

(1578, 2725i) 1707=1 mod 6829

5*5*41 = 1025

32, 2u=32, v=3

a=1015,b=192,c=1033

alpha/2 = 29 / 35
= 3708 mod 6829

(1838, 3159i) 1707=1 mod 6829

1033

32, 4u=32, v=5

a=999,b=320,c=1049

alpha/2 = 27 / 37
= 739 mod 6829

(1594, 3379i) 1707=1 mod 6829

1049

32, 6u=32, v=7 → 28, 17

a=975,b=448,c=1073

alpha/2 = 25 / 39
= 4028 mod 6829

(1522, 1827i) 3414=1 mod 6829

29*37 = 1073

32, 8u=32, v=9 → 24, 23 → 33, 4

a=943,b=576,c=1105

alpha/2 = 23 / 41
= 6663 mod 6829

(86, 452i) 569=1 mod 6829

5*13*17 = 1105

32, 10u=32, v=11 → 28, 19

a=903,b=704,c=1145

alpha/2 = 21 / 43
= 1271 mod 6829

(2464, 2768i) 3414=1 mod 6829

5*229 = 1145

32, 12u=32, v=13

a=855,b=832,c=1193

alpha/2 = 19 / 45
= 2125 mod 6829

(493, 2787i) 1138=1 mod 6829

1193

32, 14u=32, v=15

a=799,b=960,c=1249

alpha/2 = 17 / 47
= 4214 mod 6829

(1395, 2975i) 3414=1 mod 6829

1249

32, 16u=32, v=17 → 28, 23

a=735,b=1088,c=1313

alpha/2 = 15 / 49
= 5575 mod 6829

(2090, 2730i) 1707=1 mod 6829

13*101 = 1313

32, 18u=32, v=19 → 37, 4

a=663,b=1216,c=1385

alpha/2 = 13 / 51
= 3080 mod 6829

(2213, 2382i) 1707=1 mod 6829

5*277 = 1385

32, 20u=32, v=21 → 36, 13

a=583,b=1344,c=1465

alpha/2 = 11 / 53
= 1031 mod 6829

(1115, 3324i) 3414=1 mod 6829

5*293 = 1465

32, 22u=32, v=23

a=495,b=1472,c=1553

alpha/2 = 9 / 55
= 6705 mod 6829

(457, 2035i) 3414=1 mod 6829

1553

32, 24u=32, v=25 → 40, 7

a=399,b=1600,c=1649

alpha/2 = 7 / 57
= 1318 mod 6829

(1781, 1819i) 1707=1 mod 6829

17*97 = 1649

32, 26u=32, v=27

a=295,b=1728,c=1753

alpha/2 = 5 / 59
= 2315 mod 6829

(2544, 2761i) 1707=1 mod 6829

1753

32, 28u=32, v=29 → 43, 4

a=183,b=1856,c=1865

alpha/2 = 3 / 61
= 112 mod 6829

(172, 1222i) 569=1 mod 6829

5*373 = 1865

32, 30u=32, v=31 f(u,31)=u2+961;↓ → 44, 7

a=63,b=1984,c=1985

alpha/2 = 1 / 63
= 542 mod 6829

(462, 1727i) 1707=1 mod 6829

5*397 = 1985

33, 1u=33, v=2

a=1085,b=132,c=1093

alpha/2 = 31 / 35
= 196 mod 6829

(780, 2643i) 569=1 mod 6829

1093

33, 3u=33, v=4 → 24, 23

a=1073,b=264,c=1105

alpha/2 = 29 / 37
= 3323 mod 6829

(753, 2806i) 3414=1 mod 6829

5*13*17 = 1105

33, 533, 633, 7u=33, v=8

a=1025,b=528,c=1153

alpha/2 = 25 / 41
= 5164 mod 6829

(2463, 3335i) 1707=1 mod 6829

1153

33, 9u=33, v=10 → 30, 17

a=989,b=660,c=1189

alpha/2 = 23 / 43
= 3018 mod 6829

(2130, 2252i) 1138=1 mod 6829

29*41 = 1189

33, 1133, 1233, 13u=33, v=14 → 31, 18

a=893,b=924,c=1285

alpha/2 = 19 / 47
= 291 mod 6829

(1138, 3172i) 1707=1 mod 6829

5*257 = 1285

33, 15u=33, v=16 → 36, 7

a=833,b=1056,c=1345

alpha/2 = 17 / 49
= 4042 mod 6829

(1025, 2152i) 3414=1 mod 6829

5*269 = 1345

33, 1733, 1833, 19u=33, v=20

a=689,b=1320,c=1489

alpha/2 = 13 / 53
= 6185 mod 6829

(715, 2916i) 3414=1 mod 6829

1489

33, 2133, 2233, 2333, 2433, 25u=33, v=26 → 42, 1

a=413,b=1716,c=1765

alpha/2 = 7 / 59
= 3241 mod 6829

(2890, 2897i) 1707=1 mod 6829

5*353 = 1765

33, 27u=33, v=28

a=305,b=1848,c=1873

alpha/2 = 5 / 61
= 2463 mod 6829

(2738, 3357i) 3414=1 mod 6829

1873

33, 2933, 3033, 31u=33, v=32 f(u,32)=u2+1024;↓

a=65,b=2112,c=2113

alpha/2 = 1 / 65
= 1681 mod 6829

(2996, 3302i) 1138=1 mod 6829

2113

u=34, v=1 f(34,v)=1156+v2;→ → 31, 14

a=1155,b=68,c=1157

alpha/2 = 33 / 35
= 3513 mod 6829

(1270, 2172i) 1138=1 mod 6829

13*89 = 1157

34, 2u=34, v=3 → 29, 18

a=1147,b=204,c=1165

alpha/2 = 31 / 37
= 5907 mod 6829

(339, 1577i) 1707=1 mod 6829

5*233 = 1165

34, 4u=34, v=5

a=1131,b=340,c=1181

alpha/2 = 29 / 39
= 3853 mod 6829

(1169, 2984i) 1707=1 mod 6829

1181

34, 6u=34, v=7 → 26, 23

a=1107,b=476,c=1205

alpha/2 = 27 / 41
= 3665 mod 6829

(834, 2783i) 569=1 mod 6829

5*241 = 1205

34, 8u=34, v=9

a=1075,b=612,c=1237

alpha/2 = 25 / 43
= 4765 mod 6829

(132, 2776i) 1707=1 mod 6829

1237

34, 10u=34, v=11

a=1035,b=748,c=1277

alpha/2 = 23 / 45
= 6526 mod 6829

(2514, 2803i) 1138=1 mod 6829

1277

34, 12u=34, v=13 → 29, 22

a=987,b=884,c=1325

alpha/2 = 21 / 47
= 3197 mod 6829

(2298, 2334i) 569=1 mod 6829

5*5*53 = 1325

34, 14u=34, v=15

a=931,b=1020,c=1381

alpha/2 = 19 / 49
= 2509 mod 6829

(1646, 1730i) 3414=1 mod 6829

1381

34, 1634, 1734, 18u=34, v=19 → 29, 26

a=795,b=1292,c=1517

alpha/2 = 15 / 53
= 4510 mod 6829

(406, 1431i) 3414=1 mod 6829

37*41 = 1517

34, 20u=34, v=21

a=715,b=1428,c=1597

alpha/2 = 13 / 55
= 2856 mod 6829

(9, 1613i) 569=1 mod 6829

1597

34, 22u=34, v=23 → 41, 2

a=627,b=1564,c=1685

alpha/2 = 11 / 57
= 120 mod 6829

(2197, 2692i) 1138=1 mod 6829

5*337 = 1685

34, 24u=34, v=25 → 41, 10

a=531,b=1700,c=1781

alpha/2 = 9 / 59
= 4167 mod 6829

(1373, 1412i) 1138=1 mod 6829

13*137 = 1781

34, 26u=34, v=27 → 43, 6

a=427,b=1836,c=1885

alpha/2 = 7 / 61
= 4814 mod 6829

(249, 1203i) 569=1 mod 6829

5*13*29 = 1885

34, 28u=34, v=29

a=315,b=1972,c=1997

alpha/2 = 5 / 63
= 2710 mod 6829

(759, 1362i) 3414=1 mod 6829

1997

34, 30u=34, v=31 → 46, 1

a=195,b=2108,c=2117

alpha/2 = 3 / 65
= 5043 mod 6829

(899, 987i) 1138=1 mod 6829

29*73 = 2117

34, 32u=34, v=33 f(u,33)=u2+1089;↓ → 47, 6

a=67,b=2244,c=2245

alpha/2 = 1 / 67
= 2752 mod 6829

(797, 1234i) 1138=1 mod 6829

5*449 = 2245

35, 1u=35, v=2

a=1221,b=140,c=1229

alpha/2 = 33 / 37
= 1662 mod 6829

(1279, 1878i) 3414=1 mod 6829

1229

35, 3u=35, v=4 → 29, 20

a=1209,b=280,c=1241

alpha/2 = 31 / 39
= 351 mod 6829

(440, 2978i) 1138=1 mod 6829

17*73 = 1241

35, 5u=35, v=6 → 30, 19

a=1189,b=420,c=1261

alpha/2 = 29 / 41
= 2166 mod 6829

(676, 2811i) 3414=1 mod 6829

13*97 = 1261

35, 7u=35, v=8

a=1161,b=560,c=1289

alpha/2 = 27 / 43
= 6512 mod 6829

(1430, 2279i) 569=1 mod 6829

1289

35, 935, 1035, 11u=35, v=12

a=1081,b=840,c=1369

alpha/2 = 23 / 47
= 6103 mod 6829

(89, 3152i) 1707=1 mod 6829

37*37 = 1369

35, 1335, 1435, 15u=35, v=16

a=969,b=1120,c=1481

alpha/2 = 19 / 51
= 1875 mod 6829

(1521, 2646i) 1707=1 mod 6829

1481

35, 17u=35, v=18

a=901,b=1260,c=1549

alpha/2 = 17 / 53
= 2835 mod 6829

(92, 1319i) 1138=1 mod 6829

1549

35, 1935, 2035, 21u=35, v=22

a=741,b=1540,c=1709

alpha/2 = 13 / 57
= 6350 mod 6829

(880, 1399i) 3414=1 mod 6829

1709

35, 23u=35, v=24

a=649,b=1680,c=1801

alpha/2 = 11 / 59
= 5093 mod 6829

(3212, 3260i) 1707=1 mod 6829

1801

35, 25u=35, v=26

a=549,b=1820,c=1901

alpha/2 = 9 / 61
= 336 mod 6829

(1048, 3316i) 1138=1 mod 6829

1901

35, 2735, 2835, 2935, 3035, 31u=35, v=32 → 43, 20

a=201,b=2240,c=2249

alpha/2 = 3 / 67
= 1427 mod 6829

(1090, 1581i) 3414=1 mod 6829

13*173 = 2249

35, 33u=35, v=34 f(u,34)=u2+1156;↓

a=69,b=2380,c=2381

alpha/2 = 1 / 69
= 3464 mod 6829

(1239, 3285i) 1707=1 mod 6829

2381

u=36, v=1 f(36,v)=1296+v2;→

a=1295,b=72,c=1297

alpha/2 = 35 / 37
= 4246 mod 6829

(1468, 1748i) 3414=1 mod 6829

1297

36, 236, 336, 4u=36, v=5

a=1271,b=360,c=1321

alpha/2 = 31 / 41
= 667 mod 6829

(2010, 2187i) 3414=1 mod 6829

1321

36, 6u=36, v=7 → 33, 16

a=1247,b=504,c=1345

alpha/2 = 29 / 43
= 1430 mod 6829

(925, 2077i) 3414=1 mod 6829

5*269 = 1345

36, 836, 936, 10u=36, v=11 → 29, 24

a=1175,b=792,c=1417

alpha/2 = 25 / 47
= 2180 mod 6829

(804, 2332i) 1707=1 mod 6829

13*109 = 1417

36, 12u=36, v=13 → 32, 21

a=1127,b=936,c=1465

alpha/2 = 23 / 49
= 6272 mod 6829

(321, 686i) 3414=1 mod 6829

5*293 = 1465

36, 1436, 1536, 16u=36, v=17 → 39, 8

a=1007,b=1224,c=1585

alpha/2 = 19 / 53
= 1160 mod 6829

(1905, 2797i) 569=1 mod 6829

5*317 = 1585

36, 18u=36, v=19

a=935,b=1368,c=1657

alpha/2 = 17 / 55
= 5836 mod 6829

(333, 1884i) 3414=1 mod 6829

1657

36, 2036, 2136, 22u=36, v=23 → 41, 12

a=767,b=1656,c=1825

alpha/2 = 13 / 59
= 6019 mod 6829

(195, 884i) 3414=1 mod 6829

5*5*73 = 1825

36, 24u=36, v=25 → 39, 20

a=671,b=1800,c=1921

alpha/2 = 11 / 61
= 2687 mod 6829

(351, 1952i) 569=1 mod 6829

17*113 = 1921

36, 2636, 2736, 28u=36, v=29

a=455,b=2088,c=2137

alpha/2 = 7 / 65
= 4938 mod 6829

(281, 1292i) 569=1 mod 6829

2137

36, 30u=36, v=31 → 41, 24

a=335,b=2232,c=2257

alpha/2 = 5 / 67
= 102 mod 6829

(591, 1077i) 3414=1 mod 6829

37*61 = 2257

36, 3236, 3336, 34u=36, v=35 f(u,35)=u2+1225;↓

a=71,b=2520,c=2521

alpha/2 = 1 / 71
= 5771 mod 6829

(512, 2206i) 569=1 mod 6829

2521

37, 1u=37, v=2

a=1365,b=148,c=1373

alpha/2 = 35 / 39
= 176 mod 6829

(1497, 3035i) 3414=1 mod 6829

1373

37, 3u=37, v=4 → 32, 19

a=1353,b=296,c=1385

alpha/2 = 33 / 41
= 5997 mod 6829

(2277, 2830i) 3414=1 mod 6829

5*277 = 1385

37, 5u=37, v=6 → 27, 26

a=1333,b=444,c=1405

alpha/2 = 31 / 43
= 3177 mod 6829

(696, 1405i) 1707=1 mod 6829

5*281 = 1405

37, 7u=37, v=8

a=1305,b=592,c=1433

alpha/2 = 29 / 45
= 2884 mod 6829

(334, 3251i) 1138=1 mod 6829

1433

37, 9u=37, v=10 → 38, 5

a=1269,b=740,c=1469

alpha/2 = 27 / 47
= 5086 mod 6829

(52, 1860i) 1707=1 mod 6829

13*113 = 1469

37, 11u=37, v=12 → 28, 27

a=1225,b=888,c=1513

alpha/2 = 25 / 49
= 4739 mod 6829

(971, 3267i) 3414=1 mod 6829

17*89 = 1513

37, 13u=37, v=14 → 38, 11

a=1173,b=1036,c=1565

alpha/2 = 23 / 51
= 3348 mod 6829

(1672, 1925i) 569=1 mod 6829

5*313 = 1565

37, 15u=37, v=16 → 29, 28

a=1113,b=1184,c=1625

alpha/2 = 21 / 53
= 6314 mod 6829

(2193, 2609i) 1707=1 mod 6829

5*5*5*13 = 1625

37, 17u=37, v=18

a=1045,b=1332,c=1693

alpha/2 = 19 / 55
= 497 mod 6829

(2203, 2250i) 1138=1 mod 6829

1693

37, 19u=37, v=20 → 40, 13

a=969,b=1480,c=1769

alpha/2 = 17 / 57
= 5152 mod 6829

(541, 999i) 1138=1 mod 6829

29*61 = 1769

37, 21u=37, v=22 → 43, 2

a=885,b=1628,c=1853

alpha/2 = 15 / 59
= 116 mod 6829

(1154, 2717i) 3414=1 mod 6829

17*109 = 1853

37, 23u=37, v=24 → 44, 3

a=793,b=1776,c=1945

alpha/2 = 13 / 61
= 5038 mod 6829

(1242, 3206i) 3414=1 mod 6829

5*389 = 1945

37, 25u=37, v=26 → 43, 14

a=693,b=1924,c=2045

alpha/2 = 11 / 63
= 5962 mod 6829

(520, 741i) 1707=1 mod 6829

5*409 = 2045

37, 27u=37, v=28

a=585,b=2072,c=2153

alpha/2 = 9 / 65
= 1471 mod 6829

(1349, 1389i) 1707=1 mod 6829

2153

37, 29u=37, v=30

a=469,b=2220,c=2269

alpha/2 = 7 / 67
= 5606 mod 6829

(1616, 2786i) 1138=1 mod 6829

2269

37, 31u=37, v=32

a=345,b=2368,c=2393

alpha/2 = 5 / 69
= 3662 mod 6829

(487, 2637i) 569=1 mod 6829

2393

37, 33u=37, v=34 → 43, 26

a=213,b=2516,c=2525

alpha/2 = 3 / 71
= 3655 mod 6829

(1072, 1969i) 1707=1 mod 6829

5*5*101 = 2525

37, 35u=37, v=36 f(u,36)=u2+1296;↓ → 51, 8

a=73,b=2664,c=2665

alpha/2 = 1 / 73
= 2900 mod 6829

(40, 2993i) 3414=1 mod 6829

5*13*41 = 2665

u=38, v=1 f(38,v)=1444+v2;→ → 31, 22

a=1443,b=76,c=1445

alpha/2 = 37 / 39
= 3503 mod 6829

(137, 1622i) 3414=1 mod 6829

5*17*17 = 1445

38, 2u=38, v=3

a=1435,b=228,c=1453

alpha/2 = 35 / 41
= 4498 mod 6829

(845, 2942i) 1707=1 mod 6829

1453

38, 4u=38, v=5 → 37, 10

a=1419,b=380,c=1469

alpha/2 = 33 / 43
= 4924 mod 6829

(586, 1721i) 1138=1 mod 6829

13*113 = 1469

38, 6u=38, v=7

a=1395,b=532,c=1493

alpha/2 = 31 / 45
= 1670 mod 6829

(623, 2401i) 1138=1 mod 6829

1493

38, 8u=38, v=9 → 39, 2

a=1363,b=684,c=1525

alpha/2 = 29 / 47
= 1163 mod 6829

(1437, 3037i) 3414=1 mod 6829

5*5*61 = 1525

38, 10u=38, v=11 → 37, 14

a=1323,b=836,c=1565

alpha/2 = 27 / 49
= 3206 mod 6829

(846, 2043i) 1138=1 mod 6829

5*313 = 1565

38, 12u=38, v=13

a=1275,b=988,c=1613

alpha/2 = 25 / 51
= 670 mod 6829

(225, 1182i) 1707=1 mod 6829

1613

38, 14u=38, v=15

a=1219,b=1140,c=1669

alpha/2 = 23 / 53
= 4639 mod 6829

(238, 2423i) 1707=1 mod 6829

1669

38, 16u=38, v=17

a=1155,b=1292,c=1733

alpha/2 = 21 / 55
= 1987 mod 6829

(1774, 3161i) 1707=1 mod 6829

1733

38, 1838, 1938, 20u=38, v=21 → 34, 27 → 43, 6

a=1003,b=1596,c=1885

alpha/2 = 17 / 59
= 1042 mod 6829

(2330, 3265i) 3414=1 mod 6829

5*13*29 = 1885

38, 22u=38, v=23

a=915,b=1748,c=1973

alpha/2 = 15 / 61
= 560 mod 6829

(411, 2586i) 569=1 mod 6829

1973

38, 24u=38, v=25

a=819,b=1900,c=2069

alpha/2 = 13 / 63
= 217 mod 6829

(430, 2079i) 3414=1 mod 6829

2069

38, 26u=38, v=27 → 43, 18

a=715,b=2052,c=2173

alpha/2 = 11 / 65
= 4833 mod 6829

(1390, 2967i) 1707=1 mod 6829

41*53 = 2173

38, 28u=38, v=29 → 46, 13

a=603,b=2204,c=2285

alpha/2 = 9 / 67
= 4281 mod 6829

(271, 1769i) 1707=1 mod 6829

5*457 = 2285

38, 30u=38, v=31 → 49, 2

a=483,b=2356,c=2405

alpha/2 = 7 / 69
= 3761 mod 6829

(1826, 2389i) 1707=1 mod 6829

5*13*37 = 2405

38, 32u=38, v=33 → 47, 18

a=355,b=2508,c=2533

alpha/2 = 5 / 71
= 1539 mod 6829

(400, 2529i) 569=1 mod 6829

17*149 = 2533

38, 34u=38, v=35 → 50, 13

a=219,b=2660,c=2669

alpha/2 = 3 / 73
= 1871 mod 6829

(2857, 3298i) 3414=1 mod 6829

17*157 = 2669

38, 36u=38, v=37 f(u,37)=u2+1369;↓ → 53, 2

a=75,b=2812,c=2813

alpha/2 = 1 / 75
= 5099 mod 6829

(1209, 1897i) 569=1 mod 6829

29*97 = 2813

39, 1u=39, v=2 → 38, 9

a=1517,b=156,c=1525

alpha/2 = 37 / 41
= 2999 mod 6829

(102, 1406i) 1707=1 mod 6829

5*5*61 = 1525

39, 3u=39, v=4 → 31, 24

a=1505,b=312,c=1537

alpha/2 = 35 / 43
= 6671 mod 6829

(62, 2809i) 3414=1 mod 6829

29*53 = 1537

39, 539, 639, 7u=39, v=8 → 36, 17

a=1457,b=624,c=1585

alpha/2 = 31 / 47
= 4069 mod 6829

(47, 2791i) 1138=1 mod 6829

5*317 = 1585

39, 9u=39, v=10

a=1421,b=780,c=1621

alpha/2 = 29 / 49
= 1673 mod 6829

(1092, 3257i) 3414=1 mod 6829

1621

39, 1139, 1239, 13u=39, v=14 → 41, 6

a=1325,b=1092,c=1717

alpha/2 = 25 / 53
= 2964 mod 6829

(112, 311i) 3414=1 mod 6829

17*101 = 1717

39, 15u=39, v=16

a=1265,b=1248,c=1777

alpha/2 = 23 / 55
= 3477 mod 6829

(1671, 1940i) 3414=1 mod 6829

1777

39, 1739, 1839, 19u=39, v=20 → 36, 25

a=1121,b=1560,c=1921

alpha/2 = 19 / 59
= 1968 mod 6829

(157, 1670i) 3414=1 mod 6829

17*113 = 1921

39, 21u=39, v=22 → 41, 18

a=1037,b=1716,c=2005

alpha/2 = 17 / 61
= 2911 mod 6829

(180, 1852i) 1138=1 mod 6829

5*401 = 2005

39, 2339, 2439, 2539, 2639, 27u=39, v=28 → 48, 1

a=737,b=2184,c=2305

alpha/2 = 11 / 67
= 2956 mod 6829

(235, 1058i) 1707=1 mod 6829

5*461 = 2305

39, 2939, 3039, 31u=39, v=32 → 49, 12

a=497,b=2496,c=2545

alpha/2 = 7 / 71
= 6252 mod 6829

(211, 1752i) 1707=1 mod 6829

5*509 = 2545

39, 33u=39, v=34

a=365,b=2652,c=2677

alpha/2 = 5 / 73
= 842 mod 6829

(927, 2870i) 3414=1 mod 6829

2677

39, 3539, 3639, 37u=39, v=38 f(u,38)=u2+1444;↓ → 54, 7

a=77,b=2964,c=2965

alpha/2 = 1 / 77
= 5410 mod 6829

(2014, 2066i) 3414=1 mod 6829

5*593 = 2965

u=40, v=1 f(40,v)=1600+v2;→

a=1599,b=80,c=1601

alpha/2 = 39 / 41
= 1500 mod 6829

(883, 1174i) 1707=1 mod 6829

1601

40, 2u=40, v=3

a=1591,b=240,c=1609

alpha/2 = 37 / 43
= 1589 mod 6829

(628, 731i) 569=1 mod 6829

1609

40, 440, 540, 6u=40, v=7 → 32, 25

a=1551,b=560,c=1649

alpha/2 = 33 / 47
= 146 mod 6829

(1661, 3192i) 1138=1 mod 6829

17*97 = 1649

40, 8u=40, v=9

a=1519,b=720,c=1681

alpha/2 = 31 / 49
= 140 mod 6829

(1003, 3129i) 3414=1 mod 6829

41*41 = 1681

40, 10u=40, v=11

a=1479,b=880,c=1721

alpha/2 = 29 / 51
= 2143 mod 6829

(64, 2715i) 3414=1 mod 6829

1721

40, 12u=40, v=13 → 37, 20

a=1431,b=1040,c=1769

alpha/2 = 27 / 53
= 1289 mod 6829

(702, 2161i) 1707=1 mod 6829

29*61 = 1769

40, 1440, 1540, 16u=40, v=17

a=1311,b=1360,c=1889

alpha/2 = 23 / 57
= 3355 mod 6829

(26, 1548i) 1138=1 mod 6829

1889

40, 18u=40, v=19 → 44, 5

a=1239,b=1520,c=1961

alpha/2 = 21 / 59
= 2894 mod 6829

(847, 2501i) 1707=1 mod 6829

37*53 = 1961

40, 20u=40, v=21 → 45, 4

a=1159,b=1680,c=2041

alpha/2 = 19 / 61
= 5262 mod 6829

(839, 1978i) 569=1 mod 6829

13*157 = 2041

40, 22u=40, v=23

a=1071,b=1840,c=2129

alpha/2 = 17 / 63
= 2385 mod 6829

(785, 1306i) 3414=1 mod 6829

2129

40, 2440, 2540, 26u=40, v=27 → 48, 5

a=871,b=2160,c=2329

alpha/2 = 13 / 67
= 1631 mod 6829

(819, 1064i) 3414=1 mod 6829

17*137 = 2329

40, 28u=40, v=29

a=759,b=2320,c=2441

alpha/2 = 11 / 69
= 3959 mod 6829

(811, 1120i) 1707=1 mod 6829

2441

40, 30u=40, v=31 → 44, 25

a=639,b=2480,c=2561

alpha/2 = 9 / 71
= 4136 mod 6829

(647, 1717i) 569=1 mod 6829

13*197 = 2561

40, 32u=40, v=33

a=511,b=2640,c=2689

alpha/2 = 7 / 73
= 6642 mod 6829

(2178, 2641i) 1707=1 mod 6829

2689

40, 3440, 3540, 36u=40, v=37

a=231,b=2960,c=2969

alpha/2 = 3 / 77
= 2572 mod 6829

(70, 1771i) 569=1 mod 6829

2969

40, 38u=40, v=39 f(u,39)=u2+1521;↓

a=79,b=3120,c=3121

alpha/2 = 1 / 79
= 778 mod 6829

(2024, 2828i) 1138=1 mod 6829

3121

41, 1u=41, v=2 → 34, 23

a=1677,b=164,c=1685

alpha/2 = 39 / 43
= 3336 mod 6829

(2380, 2448i) 1138=1 mod 6829

5*337 = 1685

41, 3u=41, v=4

a=1665,b=328,c=1697

alpha/2 = 37 / 45
= 4857 mod 6829

(32, 329i) 1138=1 mod 6829

1697

41, 5u=41, v=6 → 39, 14

a=1645,b=492,c=1717

alpha/2 = 35 / 47
= 3052 mod 6829

(1057, 2677i) 569=1 mod 6829

17*101 = 1717

41, 7u=41, v=8 → 31, 28

a=1617,b=656,c=1745

alpha/2 = 33 / 49
= 5436 mod 6829

(661, 2535i) 3414=1 mod 6829

5*349 = 1745

41, 9u=41, v=10 → 34, 25

a=1581,b=820,c=1781

alpha/2 = 31 / 51
= 6294 mod 6829

(1040, 3252i) 3414=1 mod 6829

13*137 = 1781

41, 11u=41, v=12 → 36, 23

a=1537,b=984,c=1825

alpha/2 = 29 / 53
= 6443 mod 6829

(738, 1949i) 3414=1 mod 6829

5*5*73 = 1825

41, 13u=41, v=14

a=1485,b=1148,c=1877

alpha/2 = 27 / 55
= 6457 mod 6829

(1274, 3099i) 569=1 mod 6829

1877

41, 15u=41, v=16 → 44, 1

a=1425,b=1312,c=1937

alpha/2 = 25 / 57
= 2756 mod 6829

(727, 2714i) 1707=1 mod 6829

13*149 = 1937

41, 17u=41, v=18 → 39, 22

a=1357,b=1476,c=2005

alpha/2 = 23 / 59
= 3820 mod 6829

(1784, 2547i) 569=1 mod 6829

5*401 = 2005

41, 19u=41, v=20

a=1281,b=1640,c=2081

alpha/2 = 21 / 61
= 784 mod 6829

(2582, 2905i) 3414=1 mod 6829

2081

41, 21u=41, v=22 → 46, 7

a=1197,b=1804,c=2165

alpha/2 = 19 / 63
= 3469 mod 6829

(1032, 1611i) 1707=1 mod 6829

5*433 = 2165

41, 23u=41, v=24 → 36, 31

a=1105,b=1968,c=2257

alpha/2 = 17 / 65
= 1261 mod 6829

(1238, 2724i) 569=1 mod 6829

37*61 = 2257

41, 25u=41, v=26

a=1005,b=2132,c=2357

alpha/2 = 15 / 67
= 306 mod 6829

(873, 1113i) 1707=1 mod 6829

2357

41, 27u=41, v=28 → 49, 8

a=897,b=2296,c=2465

alpha/2 = 13 / 69
= 4058 mod 6829

(350, 2903i) 3414=1 mod 6829

5*17*29 = 2465

41, 29u=41, v=30 → 50, 9

a=781,b=2460,c=2581

alpha/2 = 11 / 71
= 2020 mod 6829

(1023, 2082i) 3414=1 mod 6829

29*89 = 2581

41, 31u=41, v=32 → 52, 1

a=657,b=2624,c=2705

alpha/2 = 9 / 73
= 5613 mod 6829

(1185, 1257i) 1707=1 mod 6829

5*541 = 2705

41, 33u=41, v=34

a=525,b=2788,c=2837

alpha/2 = 7 / 75
= 1548 mod 6829

(1075, 3105i) 1707=1 mod 6829

2837

41, 35u=41, v=36 → 49, 24

a=385,b=2952,c=2977

alpha/2 = 5 / 77
= 6563 mod 6829

(1913, 3318i) 1138=1 mod 6829

13*229 = 2977

41, 37u=41, v=38

a=237,b=3116,c=3125

alpha/2 = 3 / 79
= 2334 mod 6829

(813, 921i) 569=1 mod 6829

5*5*5*5*5 = 3125

41, 39u=41, v=40 f(u,40)=u2+1600;↓ → 55, 16

a=81,b=3280,c=3281

alpha/2 = 1 / 81
= 5733 mod 6829

(1331, 1534i) 3414=1 mod 6829

17*193 = 3281

u=42, v=1 f(42,v)=1764+v2;→ → 33, 26

a=1763,b=84,c=1765

alpha/2 = 41 / 43
= 5083 mod 6829

(1861, 3044i) 3414=1 mod 6829

5*353 = 1765

42, 242, 342, 4u=42, v=5

a=1739,b=420,c=1789

alpha/2 = 37 / 47
= 5958 mod 6829

(569, 2047i) 1138=1 mod 6829

1789

42, 642, 742, 842, 942, 10u=42, v=11 → 34, 27 → 43, 6

a=1643,b=924,c=1885

alpha/2 = 31 / 53
= 4768 mod 6829

(812, 2488i) 569=1 mod 6829

5*13*29 = 1885

42, 12u=42, v=13

a=1595,b=1092,c=1933

alpha/2 = 29 / 55
= 1118 mod 6829

(303, 2695i) 1707=1 mod 6829

1933

42, 1442, 1542, 16u=42, v=17

a=1475,b=1428,c=2053

alpha/2 = 25 / 59
= 4746 mod 6829

(2198, 3003i) 1138=1 mod 6829

2053

42, 18u=42, v=19 → 46, 3

a=1403,b=1596,c=2125

alpha/2 = 23 / 61
= 3135 mod 6829

(1709, 3049i) 3414=1 mod 6829

5*5*5*17 = 2125

42, 2042, 2142, 22u=42, v=23

a=1235,b=1932,c=2293

alpha/2 = 19 / 65
= 4623 mod 6829

(757, 3162i) 1138=1 mod 6829

2293

42, 24u=42, v=25

a=1139,b=2100,c=2389

alpha/2 = 17 / 67
= 5810 mod 6829

(2123, 2475i) 569=1 mod 6829

2389

42, 2642, 2742, 28u=42, v=29 → 51, 2

a=923,b=2436,c=2605

alpha/2 = 13 / 71
= 6733 mod 6829

(796, 1201i) 569=1 mod 6829

5*521 = 2605

42, 30u=42, v=31 → 49, 18

a=803,b=2604,c=2725

alpha/2 = 11 / 73
= 4584 mod 6829

(2257, 2398i) 1138=1 mod 6829

5*5*109 = 2725

42, 3242, 3342, 3442, 3542, 36u=42, v=37 → 53, 18

a=395,b=3108,c=3133

alpha/2 = 5 / 79
= 3890 mod 6829

(1396, 1554i) 3414=1 mod 6829

13*241 = 3133

42, 3842, 3942, 40u=42, v=41 f(u,41)=u2+1681;↓ → 58, 9

a=83,b=3444,c=3445

alpha/2 = 1 / 83
= 1481 mod 6829

(2350, 2908i) 1707=1 mod 6829

5*13*53 = 3445

43, 1u=43, v=2 → 37, 22

a=1845,b=172,c=1853

alpha/2 = 41 / 45
= 2429 mod 6829

(2871, 3150i) 1707=1 mod 6829

17*109 = 1853

43, 3u=43, v=4 → 32, 29

a=1833,b=344,c=1865

alpha/2 = 39 / 47
= 2035 mod 6829

(964, 1816i) 569=1 mod 6829

5*373 = 1865

43, 5u=43, v=6 → 34, 27

a=1813,b=516,c=1885

alpha/2 = 37 / 49
= 2370 mod 6829

(1409, 2421i) 1707=1 mod 6829

5*13*29 = 1885

43, 7u=43, v=8

a=1785,b=688,c=1913

alpha/2 = 35 / 51
= 938 mod 6829

(161, 1718i) 569=1 mod 6829

1913

43, 9u=43, v=10

a=1749,b=860,c=1949

alpha/2 = 33 / 53
= 3093 mod 6829

(1875, 2182i) 1138=1 mod 6829

1949

43, 11u=43, v=12

a=1705,b=1032,c=1993

alpha/2 = 31 / 55
= 2608 mod 6829

(1796, 1882i) 3414=1 mod 6829

1993

43, 13u=43, v=14 → 37, 26

a=1653,b=1204,c=2045

alpha/2 = 29 / 57
= 1558 mod 6829

(782, 2477i) 1707=1 mod 6829

5*409 = 2045

43, 15u=43, v=16 → 44, 13

a=1593,b=1376,c=2105

alpha/2 = 27 / 59
= 5672 mod 6829

(562, 1480i) 1707=1 mod 6829

5*421 = 2105

43, 17u=43, v=18 → 38, 27

a=1525,b=1548,c=2173

alpha/2 = 25 / 61
= 5486 mod 6829

(2078, 2306i) 3414=1 mod 6829

41*53 = 2173

43, 19u=43, v=20 → 35, 32

a=1449,b=1720,c=2249

alpha/2 = 23 / 63
= 5637 mod 6829

(1103, 2029i) 569=1 mod 6829

13*173 = 2249

43, 21u=43, v=22

a=1365,b=1892,c=2333

alpha/2 = 21 / 65
= 1156 mod 6829

(529, 2587i) 1138=1 mod 6829

2333

43, 23u=43, v=24 → 48, 11

a=1273,b=2064,c=2425

alpha/2 = 19 / 67
= 4485 mod 6829

(167, 2290i) 1707=1 mod 6829

5*5*97 = 2425

43, 25u=43, v=26 → 37, 34

a=1173,b=2236,c=2525

alpha/2 = 17 / 69
= 4256 mod 6829

(247, 3007i) 1707=1 mod 6829

5*5*101 = 2525

43, 27u=43, v=28

a=1065,b=2408,c=2633

alpha/2 = 15 / 71
= 4617 mod 6829

(2518, 2649i) 1707=1 mod 6829

2633

43, 29u=43, v=30

a=949,b=2580,c=2749

alpha/2 = 13 / 73
= 3555 mod 6829

(604, 2913i) 3414=1 mod 6829

2749

43, 31u=43, v=32 → 53, 8

a=825,b=2752,c=2873

alpha/2 = 11 / 75
= 1457 mod 6829

(1928, 2376i) 1138=1 mod 6829

13*13*17 = 2873

43, 33u=43, v=34 → 53, 14

a=693,b=2924,c=3005

alpha/2 = 9 / 77
= 887 mod 6829

(527, 3078i) 1138=1 mod 6829

5*601 = 3005

43, 35u=43, v=36 → 56, 3

a=553,b=3096,c=3145

alpha/2 = 7 / 79
= 5446 mod 6829

(622, 1155i) 1707=1 mod 6829

5*17*37 = 3145

43, 37u=43, v=38 → 53, 22

a=405,b=3268,c=3293

alpha/2 = 5 / 81
= 1349 mod 6829

(55, 2273i) 569=1 mod 6829

37*89 = 3293

43, 39u=43, v=40

a=249,b=3440,c=3449

alpha/2 = 3 / 83
= 4443 mod 6829

(890, 2665i) 3414=1 mod 6829

3449

43, 41u=43, v=42 f(u,42)=u2+1764;↓

a=85,b=3612,c=3613

alpha/2 = 1 / 85
= 3294 mod 6829

(2218, 2597i) 3414=1 mod 6829

3613

u=44, v=1 f(44,v)=1936+v2;→ → 41, 16

a=1935,b=88,c=1937

alpha/2 = 43 / 45
= 1215 mod 6829

(484, 765i) 569=1 mod 6829

13*149 = 1937

44, 2u=44, v=3 → 37, 24

a=1927,b=264,c=1945

alpha/2 = 41 / 47
= 4941 mod 6829

(798, 2584i) 1707=1 mod 6829

5*389 = 1945

44, 4u=44, v=5 → 40, 19

a=1911,b=440,c=1961

alpha/2 = 39 / 49
= 837 mod 6829

(2222, 3163i) 1707=1 mod 6829

37*53 = 1961

44, 6u=44, v=7 → 32, 31

a=1887,b=616,c=1985

alpha/2 = 37 / 51
= 5089 mod 6829

(2624, 2842i) 3414=1 mod 6829

5*397 = 1985

44, 8u=44, v=9

a=1855,b=792,c=2017

alpha/2 = 35 / 53
= 1418 mod 6829

(2579, 3321i) 1138=1 mod 6829

2017

44, 1044, 1144, 12u=44, v=13 → 43, 16

a=1767,b=1144,c=2105

alpha/2 = 31 / 57
= 959 mod 6829

(1305, 1787i) 1707=1 mod 6829

5*421 = 2105

44, 14u=44, v=15

a=1711,b=1320,c=2161

alpha/2 = 29 / 59
= 6598 mod 6829

(903, 3107i) 1707=1 mod 6829

2161

44, 16u=44, v=17 → 47, 4

a=1647,b=1496,c=2225

alpha/2 = 27 / 61
= 1008 mod 6829

(1052, 1922i) 3414=1 mod 6829

5*5*89 = 2225

44, 18u=44, v=19

a=1575,b=1672,c=2297

alpha/2 = 25 / 63
= 6721 mod 6829

(2122, 3118i) 569=1 mod 6829

2297

44, 20u=44, v=21

a=1495,b=1848,c=2377

alpha/2 = 23 / 65
= 4518 mod 6829

(2062, 3158i) 1707=1 mod 6829

2377

44, 22u=44, v=23 → 41, 28 → 49, 8

a=1407,b=2024,c=2465

alpha/2 = 21 / 67
= 3160 mod 6829

(77, 2523i) 569=1 mod 6829

5*17*29 = 2465

44, 24u=44, v=25 → 40, 31

a=1311,b=2200,c=2561

alpha/2 = 19 / 69
= 4355 mod 6829

(2887, 3170i) 1707=1 mod 6829

13*197 = 2561

44, 26u=44, v=27 → 37, 36 → 51, 8

a=1207,b=2376,c=2665

alpha/2 = 17 / 71
= 2501 mod 6829

(1684, 1810i) 569=1 mod 6829

5*13*41 = 2665

44, 28u=44, v=29

a=1095,b=2552,c=2777

alpha/2 = 15 / 73
= 2526 mod 6829

(2894, 3215i) 1707=1 mod 6829

2777

44, 30u=44, v=31

a=975,b=2728,c=2897

alpha/2 = 13 / 75
= 4826 mod 6829

(394, 2981i) 1707=1 mod 6829

2897

44, 3244, 3344, 34u=44, v=35 → 56, 5

a=711,b=3080,c=3161

alpha/2 = 9 / 79
= 173 mod 6829

(2345, 2947i) 1707=1 mod 6829

29*109 = 3161

44, 36u=44, v=37 → 56, 13

a=567,b=3256,c=3305

alpha/2 = 7 / 81
= 5986 mod 6829

(3148, 3269i) 1138=1 mod 6829

5*661 = 3305

44, 38u=44, v=39

a=415,b=3432,c=3457

alpha/2 = 5 / 83
= 576 mod 6829

(803, 2420i) 3414=1 mod 6829

3457

44, 40u=44, v=41

a=255,b=3608,c=3617

alpha/2 = 3 / 85
= 3053 mod 6829

(1215, 2528i) 1707=1 mod 6829

3617

44, 42u=44, v=43 f(u,43)=u2+1849;↓ → 61, 8

a=87,b=3784,c=3785

alpha/2 = 1 / 87
= 157 mod 6829

(1623, 2295i) 3414=1 mod 6829

5*757 = 3785

45, 1u=45, v=2

a=2021,b=180,c=2029

alpha/2 = 43 / 47
= 1018 mod 6829

(1492, 2817i) 1707=1 mod 6829

2029

45, 3u=45, v=4 → 40, 21

a=2009,b=360,c=2041

alpha/2 = 41 / 49
= 6133 mod 6829

(308, 3365i) 1707=1 mod 6829

13*157 = 2041

45, 545, 645, 7u=45, v=8

a=1961,b=720,c=2089

alpha/2 = 37 / 53
= 6572 mod 6829

(2116, 2507i) 3414=1 mod 6829

2089

45, 945, 1045, 1145, 1245, 13u=45, v=14

a=1829,b=1260,c=2221

alpha/2 = 31 / 59
= 695 mod 6829

(800, 3283i) 1707=1 mod 6829

2221

45, 15u=45, v=16

a=1769,b=1440,c=2281

alpha/2 = 29 / 61
= 3359 mod 6829

(667, 2818i) 569=1 mod 6829

2281

45, 1745, 1845, 1945, 2045, 21u=45, v=22 → 50, 3

a=1541,b=1980,c=2509

alpha/2 = 23 / 67
= 1835 mod 6829

(285, 2136i) 569=1 mod 6829

13*193 = 2509

45, 2345, 2445, 25u=45, v=26 → 51, 10

a=1349,b=2340,c=2701

alpha/2 = 19 / 71
= 385 mod 6829

(2085, 3347i) 1707=1 mod 6829

37*73 = 2701

45, 27u=45, v=28

a=1241,b=2520,c=2809

alpha/2 = 17 / 73
= 1497 mod 6829

(509, 1378i) 1138=1 mod 6829

53*53 = 2809

45, 2945, 3045, 31u=45, v=32

a=1001,b=2880,c=3049

alpha/2 = 13 / 77
= 2040 mod 6829

(1300, 2441i) 3414=1 mod 6829

3049

45, 33u=45, v=34

a=869,b=3060,c=3181

alpha/2 = 11 / 79
= 1729 mod 6829

(832, 2709i) 1707=1 mod 6829

3181

45, 3545, 3645, 37u=45, v=38

a=581,b=3420,c=3469

alpha/2 = 7 / 83
= 3538 mod 6829

(2318, 2746i) 1707=1 mod 6829

3469

45, 3945, 4045, 4145, 4245, 43u=45, v=44 f(u,44)=u2+1936;↓ → 60, 19

a=89,b=3960,c=3961

alpha/2 = 1 / 89
= 1995 mod 6829

(1513, 2012i) 1707=1 mod 6829

17*233 = 3961

u=46, v=1 f(46,v)=2116+v2;→ → 34, 31

a=2115,b=92,c=2117

alpha/2 = 45 / 47
= 3924 mod 6829

(199, 2371i) 1707=1 mod 6829

29*73 = 2117

46, 2u=46, v=3 → 42, 19

a=2107,b=276,c=2125

alpha/2 = 43 / 49
= 4600 mod 6829

(784, 2917i) 1707=1 mod 6829

5*5*5*17 = 2125

46, 4u=46, v=5

a=2091,b=460,c=2141

alpha/2 = 41 / 51
= 6562 mod 6829

(806, 3327i) 1707=1 mod 6829

2141

46, 6u=46, v=7 → 41, 22

a=2067,b=644,c=2165

alpha/2 = 39 / 53
= 4897 mod 6829

(76, 1474i) 3414=1 mod 6829

5*433 = 2165

46, 8u=46, v=9

a=2035,b=828,c=2197

alpha/2 = 37 / 55
= 249 mod 6829

(1036, 1539i) 569=1 mod 6829

13*13*13 = 2197

46, 10u=46, v=11

a=1995,b=1012,c=2237

alpha/2 = 35 / 57
= 6590 mod 6829

(553, 2655i) 3414=1 mod 6829

2237

46, 12u=46, v=13 → 38, 29

a=1947,b=1196,c=2285

alpha/2 = 33 / 59
= 1621 mod 6829

(38, 138i) 3414=1 mod 6829

5*457 = 2285

46, 14u=46, v=15

a=1891,b=1380,c=2341

alpha/2 = 31 / 61
= 5710 mod 6829

(1414, 2063i) 569=1 mod 6829

2341

46, 16u=46, v=17 → 38, 31 → 49, 2

a=1827,b=1564,c=2405

alpha/2 = 29 / 63
= 2060 mod 6829

(2217, 3188i) 1138=1 mod 6829

5*13*37 = 2405

46, 18u=46, v=19

a=1755,b=1748,c=2477

alpha/2 = 27 / 65
= 4413 mod 6829

(2555, 2952i) 569=1 mod 6829

2477

46, 20u=46, v=21

a=1675,b=1932,c=2557

alpha/2 = 25 / 67
= 510 mod 6829

(58, 1754i) 1707=1 mod 6829

2557

46, 2246, 2346, 24u=46, v=25

a=1491,b=2300,c=2741

alpha/2 = 21 / 71
= 5098 mod 6829

(1063, 1321i) 3414=1 mod 6829

2741

46, 26u=46, v=27 → 53, 6

a=1387,b=2484,c=2845

alpha/2 = 19 / 73
= 468 mod 6829

(1963, 3230i) 1707=1 mod 6829

5*569 = 2845

46, 28u=46, v=29

a=1275,b=2668,c=2957

alpha/2 = 17 / 75
= 4735 mod 6829

(685, 1794i) 1707=1 mod 6829

2957

46, 30u=46, v=31 → 49, 26

a=1155,b=2852,c=3077

alpha/2 = 15 / 77
= 6031 mod 6829

(2128, 2278i) 3414=1 mod 6829

17*181 = 3077

46, 32u=46, v=33 → 54, 17

a=1027,b=3036,c=3205

alpha/2 = 13 / 79
= 3285 mod 6829

(67, 1977i) 1707=1 mod 6829

5*641 = 3205

46, 34u=46, v=35 → 50, 29

a=891,b=3220,c=3341

alpha/2 = 11 / 81
= 1602 mod 6829

(369, 2242i) 569=1 mod 6829

13*257 = 3341

46, 36u=46, v=37 → 59, 2

a=747,b=3404,c=3485

alpha/2 = 9 / 83
= 6500 mod 6829

(280, 3342i) 3414=1 mod 6829

5*17*41 = 3485

46, 38u=46, v=39

a=595,b=3588,c=3637

alpha/2 = 7 / 85
= 2571 mod 6829

(1873, 3220i) 1138=1 mod 6829

3637

46, 40u=46, v=41

a=435,b=3772,c=3797

alpha/2 = 5 / 87
= 785 mod 6829

(2188, 2543i) 3414=1 mod 6829

3797

46, 42u=46, v=43 → 62, 11

a=267,b=3956,c=3965

alpha/2 = 3 / 89
= 5985 mod 6829

(1992, 2158i) 1138=1 mod 6829

5*13*61 = 3965

46, 44u=46, v=45 f(u,45)=u2+2025;↓ → 54, 35

a=91,b=4140,c=4141

alpha/2 = 1 / 91
= 5103 mod 6829

(93, 1725i) 569=1 mod 6829

41*101 = 4141

47, 1u=47, v=2

a=2205,b=188,c=2213

alpha/2 = 45 / 49
= 3067 mod 6829

(1225, 1942i) 1138=1 mod 6829

2213

47, 3u=47, v=4 → 44, 17

a=2193,b=376,c=2225

alpha/2 = 43 / 51
= 3884 mod 6829

(179, 1323i) 3414=1 mod 6829

5*5*89 = 2225

47, 5u=47, v=6 → 34, 33

a=2173,b=564,c=2245

alpha/2 = 41 / 53
= 3222 mod 6829

(18, 142i) 569=1 mod 6829

5*449 = 2245

47, 7u=47, v=8

a=2145,b=752,c=2273

alpha/2 = 39 / 55
= 1739 mod 6829

(2506, 2771i) 1707=1 mod 6829

2273

47, 9u=47, v=10

a=2109,b=940,c=2309

alpha/2 = 37 / 57
= 5991 mod 6829

(1783, 2235i) 1707=1 mod 6829

2309

47, 11u=47, v=12 → 48, 7

a=2065,b=1128,c=2353

alpha/2 = 35 / 59
= 2547 mod 6829

(1648, 1903i) 1138=1 mod 6829

13*181 = 2353

47, 13u=47, v=14 → 38, 31 → 49, 2

a=2013,b=1316,c=2405

alpha/2 = 33 / 61
= 1232 mod 6829

(1382, 2204i) 569=1 mod 6829

5*13*37 = 2405

47, 15u=47, v=16 → 41, 28 → 49, 8

a=1953,b=1504,c=2465

alpha/2 = 31 / 63
= 3144 mod 6829

(1422, 2228i) 1707=1 mod 6829

5*17*29 = 2465

47, 17u=47, v=18 → 38, 33

a=1885,b=1692,c=2533

alpha/2 = 29 / 65
= 946 mod 6829

(37, 858i) 3414=1 mod 6829

17*149 = 2533

47, 19u=47, v=20

a=1809,b=1880,c=2609

alpha/2 = 27 / 67
= 6014 mod 6829

(193, 227i) 3414=1 mod 6829

2609

47, 21u=47, v=22

a=1725,b=2068,c=2693

alpha/2 = 25 / 69
= 4652 mod 6829

(2326, 3414i) 6=1 mod 6829

2693

47, 23u=47, v=24 → 52, 9

a=1633,b=2256,c=2785

alpha/2 = 23 / 71
= 2982 mod 6829

(670, 2958i) 1138=1 mod 6829

5*557 = 2785

47, 25u=47, v=26 → 49, 22

a=1533,b=2444,c=2885

alpha/2 = 21 / 73
= 6268 mod 6829

(1744, 1836i) 3414=1 mod 6829

5*577 = 2885

47, 27u=47, v=28 → 52, 17

a=1425,b=2632,c=2993

alpha/2 = 19 / 75
= 1275 mod 6829

(549, 2142i) 569=1 mod 6829

41*73 = 2993

47, 29u=47, v=30

a=1309,b=2820,c=3109

alpha/2 = 17 / 77
= 3193 mod 6829

(2092, 2642i) 1707=1 mod 6829

3109

47, 31u=47, v=32 → 52, 23

a=1185,b=3008,c=3233

alpha/2 = 15 / 79
= 4841 mod 6829

(1131, 3154i) 1707=1 mod 6829

53*61 = 3233

47, 33u=47, v=34 → 58, 1

a=1053,b=3196,c=3365

alpha/2 = 13 / 81
= 6239 mod 6829

(1996, 2462i) 569=1 mod 6829

5*673 = 3365

47, 35u=47, v=36 → 57, 16

a=913,b=3384,c=3505

alpha/2 = 11 / 83
= 2633 mod 6829

(1207, 1650i) 1707=1 mod 6829

5*701 = 3505

47, 37u=47, v=38 → 58, 17

a=765,b=3572,c=3653

alpha/2 = 9 / 85
= 2330 mod 6829

(1034, 1418i) 569=1 mod 6829

13*281 = 3653

47, 39u=47, v=40 → 55, 28

a=609,b=3760,c=3809

alpha/2 = 7 / 87
= 1099 mod 6829

(1358, 2621i) 1138=1 mod 6829

13*293 = 3809

47, 41u=47, v=42 → 63, 2

a=445,b=3948,c=3973

alpha/2 = 5 / 89
= 3146 mod 6829

(2208, 2408i) 1138=1 mod 6829

29*137 = 3973

47, 43u=47, v=44 → 64, 7

a=273,b=4136,c=4145

alpha/2 = 3 / 91
= 1651 mod 6829

(1010, 1233i) 569=1 mod 6829

5*829 = 4145

47, 45u=47, v=46 f(u,46)=u2+2116;↓ → 58, 31

a=93,b=4324,c=4325

alpha/2 = 1 / 93
= 6315 mod 6829

(31, 2790i) 1707=1 mod 6829

5*5*173 = 4325

u=48, v=1 f(48,v)=2304+v2;→ → 39, 28

a=2303,b=96,c=2305

alpha/2 = 47 / 49
= 1534 mod 6829

(795, 2862i) 3414=1 mod 6829

5*461 = 2305

48, 248, 348, 4u=48, v=5 → 40, 27

a=2279,b=480,c=2329

alpha/2 = 43 / 53
= 1547 mod 6829

(182, 3112i) 1138=1 mod 6829

17*137 = 2329

48, 6u=48, v=7 → 47, 12

a=2255,b=672,c=2353

alpha/2 = 41 / 55
= 3229 mod 6829

(110, 3147i) 3414=1 mod 6829

13*181 = 2353

48, 848, 948, 10u=48, v=11 → 43, 24

a=2183,b=1056,c=2425

alpha/2 = 37 / 59
= 3473 mod 6829

(391, 2328i) 1707=1 mod 6829

5*5*97 = 2425

48, 12u=48, v=13

a=2135,b=1248,c=2473

alpha/2 = 35 / 61
= 3583 mod 6829

(510, 2841i) 1707=1 mod 6829

2473

48, 1448, 1548, 16u=48, v=17

a=2015,b=1632,c=2593

alpha/2 = 31 / 65
= 4308 mod 6829

(389, 2708i) 569=1 mod 6829

2593

48, 18u=48, v=19 → 37, 36 → 51, 8

a=1943,b=1824,c=2665

alpha/2 = 29 / 67
= 4689 mod 6829

(335, 2285i) 1138=1 mod 6829

5*13*41 = 2665

48, 2048, 2148, 22u=48, v=23

a=1775,b=2208,c=2833

alpha/2 = 25 / 71
= 866 mod 6829

(143, 1782i) 1138=1 mod 6829

2833

48, 24u=48, v=25 → 52, 15

a=1679,b=2400,c=2929

alpha/2 = 23 / 73
= 5239 mod 6829

(1050, 2015i) 1138=1 mod 6829

29*101 = 2929

48, 2648, 2748, 28u=48, v=29 → 43, 36 → 56, 3

a=1463,b=2784,c=3145

alpha/2 = 19 / 77
= 355 mod 6829

(23, 981i) 569=1 mod 6829

5*17*37 = 3145

48, 30u=48, v=31 → 57, 4

a=1343,b=2976,c=3265

alpha/2 = 17 / 79
= 6397 mod 6829

(2412, 2852i) 569=1 mod 6829

5*653 = 3265

48, 3248, 3348, 34u=48, v=35

a=1079,b=3360,c=3529

alpha/2 = 13 / 83
= 5595 mod 6829

(746, 2585i) 3414=1 mod 6829

3529

48, 36u=48, v=37

a=935,b=3552,c=3673

alpha/2 = 11 / 85
= 2089 mod 6829

(1166, 2180i) 3414=1 mod 6829

3673

48, 3848, 3948, 40u=48, v=41 → 63, 4

a=623,b=3936,c=3985

alpha/2 = 7 / 89
= 307 mod 6829

(837, 2850i) 1707=1 mod 6829

5*797 = 3985

48, 42u=48, v=43

a=455,b=4128,c=4153

alpha/2 = 5 / 91
= 5028 mod 6829

(1499, 2784i) 3414=1 mod 6829

4153

48, 4448, 4548, 46u=48, v=47 f(u,47)=u2+2209;↓

a=95,b=4512,c=4513

alpha/2 = 1 / 95
= 1869 mod 6829

(745, 2580i) 569=1 mod 6829

4513

49, 1u=49, v=2 → 38, 31

a=2397,b=196,c=2405

alpha/2 = 47 / 51
= 5357 mod 6829

(1839, 2723i) 1707=1 mod 6829

5*13*37 = 2405

49, 3u=49, v=4

a=2385,b=392,c=2417

alpha/2 = 45 / 53
= 6701 mod 6829

(1132, 1486i) 1707=1 mod 6829

2417

49, 5u=49, v=6

a=2365,b=588,c=2437

alpha/2 = 43 / 55
= 4719 mod 6829

(2238, 3340i) 3414=1 mod 6829

2437

49, 7u=49, v=8 → 41, 28

a=2337,b=784,c=2465

alpha/2 = 41 / 57
= 4793 mod 6829

(1351, 1452i) 569=1 mod 6829

5*17*29 = 2465

49, 9u=49, v=10 → 50, 1

a=2301,b=980,c=2501

alpha/2 = 39 / 59
= 4399 mod 6829

(1236, 1281i) 569=1 mod 6829

41*61 = 2501

49, 11u=49, v=12 → 39, 32

a=2257,b=1176,c=2545

alpha/2 = 37 / 61
= 5934 mod 6829

(288, 1741i) 3414=1 mod 6829

5*509 = 2545

49, 1349, 1449, 15u=49, v=16

a=2145,b=1568,c=2657

alpha/2 = 33 / 65
= 841 mod 6829

(1742, 2775i) 1138=1 mod 6829

2657

49, 17u=49, v=18 → 42, 31

a=2077,b=1764,c=2725

alpha/2 = 31 / 67
= 3364 mod 6829

(720, 2216i) 569=1 mod 6829

5*5*109 = 2725

49, 19u=49, v=20

a=2001,b=1960,c=2801

alpha/2 = 29 / 69
= 4850 mod 6829

(326, 1249i) 1138=1 mod 6829

2801

49, 21u=49, v=22 → 47, 26

a=1917,b=2156,c=2885

alpha/2 = 27 / 71
= 5579 mod 6829

(1642, 2550i) 1707=1 mod 6829

5*577 = 2885

49, 23u=49, v=24 → 41, 36

a=1825,b=2352,c=2977

alpha/2 = 25 / 73
= 4210 mod 6829

(978, 3126i) 1707=1 mod 6829

13*229 = 2977

49, 25u=49, v=26 → 46, 31

a=1725,b=2548,c=3077

alpha/2 = 23 / 75
= 1184 mod 6829

(2294, 3030i) 569=1 mod 6829

17*181 = 3077

49, 2749, 2849, 29u=49, v=30

a=1501,b=2940,c=3301

alpha/2 = 19 / 79
= 1124 mod 6829

(1139, 2089i) 1707=1 mod 6829

3301

49, 31u=49, v=32 → 56, 17

a=1377,b=3136,c=3425

alpha/2 = 17 / 81
= 1855 mod 6829

(1820, 2575i) 3414=1 mod 6829

5*5*137 = 3425

49, 33u=49, v=34

a=1245,b=3332,c=3557

alpha/2 = 15 / 83
= 1728 mod 6829

(360, 1087i) 3414=1 mod 6829

3557

49, 35u=49, v=36

a=1105,b=3528,c=3697

alpha/2 = 13 / 85
= 1848 mod 6829

(1728, 2353i) 1707=1 mod 6829

3697

49, 37u=49, v=38 → 62, 1

a=957,b=3724,c=3845

alpha/2 = 11 / 87
= 1727 mod 6829

(954, 1768i) 1138=1 mod 6829

5*769 = 3845

49, 39u=49, v=40

a=801,b=3920,c=4001

alpha/2 = 9 / 89
= 4297 mod 6829

(69, 1451i) 569=1 mod 6829

4001

49, 4149, 4249, 43u=49, v=44

a=465,b=4312,c=4337

alpha/2 = 5 / 93
= 4259 mod 6829

(75, 2721i) 1707=1 mod 6829

4337

49, 45u=49, v=46

a=285,b=4508,c=4517

alpha/2 = 3 / 95
= 5607 mod 6829

(2424, 2880i) 1707=1 mod 6829

4517

49, 47u=49, v=48 f(u,48)=u2+2304;↓ → 68, 9

a=97,b=4704,c=4705

alpha/2 = 1 / 97
= 6477 mod 6829

(1314, 2196i) 1707=1 mod 6829

5*941 = 4705

u=50, v=1 f(50,v)=2500+v2;→ → 49, 10

a=2499,b=100,c=2501

alpha/2 = 49 / 51
= 2679 mod 6829

(2796, 3221i) 3414=1 mod 6829

41*61 = 2501

50, 2u=50, v=3 → 45, 22

a=2491,b=300,c=2509

alpha/2 = 47 / 53
= 5026 mod 6829

(314, 664i) 3414=1 mod 6829

13*193 = 2509

50, 450, 550, 6u=50, v=7

a=2451,b=700,c=2549

alpha/2 = 43 / 57
= 4194 mod 6829

(2457, 2938i) 1138=1 mod 6829

2549

50, 8u=50, v=9 → 41, 30

a=2419,b=900,c=2581

alpha/2 = 41 / 59
= 5325 mod 6829

(2373, 2750i) 1138=1 mod 6829

29*89 = 2581

50, 10u=50, v=11

a=2379,b=1100,c=2621

alpha/2 = 39 / 61
= 1456 mod 6829

(145, 578i) 3414=1 mod 6829

2621

50, 12u=50, v=13 → 38, 35

a=2331,b=1300,c=2669

alpha/2 = 37 / 63
= 6396 mod 6829

(2690, 2988i) 569=1 mod 6829

17*157 = 2669

50, 1450, 1550, 16u=50, v=17

a=2211,b=1700,c=2789

alpha/2 = 33 / 67
= 2039 mod 6829

(101, 3108i) 1138=1 mod 6829

2789

50, 18u=50, v=19

a=2139,b=1900,c=2861

alpha/2 = 31 / 69
= 4949 mod 6829

(268, 374i) 1707=1 mod 6829

2861

50, 20u=50, v=21 → 54, 5

a=2059,b=2100,c=2941

alpha/2 = 29 / 71
= 3463 mod 6829

(147, 349i) 1138=1 mod 6829

17*173 = 2941

50, 22u=50, v=23 → 55, 2

a=1971,b=2300,c=3029

alpha/2 = 27 / 73
= 3181 mod 6829

(1440, 1618i) 569=1 mod 6829

13*233 = 3029

50, 2450, 2550, 26u=50, v=27

a=1771,b=2700,c=3229

alpha/2 = 23 / 77
= 1508 mod 6829

(377, 1708i) 1707=1 mod 6829

3229

50, 28u=50, v=29 → 46, 35

a=1659,b=2900,c=3341

alpha/2 = 21 / 79
= 2680 mod 6829

(7, 953i) 1707=1 mod 6829

13*257 = 3341

50, 30u=50, v=31

a=1539,b=3100,c=3461

alpha/2 = 19 / 81
= 6492 mod 6829

(2236, 2343i) 3414=1 mod 6829

3461

50, 32u=50, v=33 → 58, 15

a=1411,b=3300,c=3589

alpha/2 = 17 / 83
= 4690 mod 6829

(419, 1643i) 3414=1 mod 6829

37*97 = 3589

50, 3450, 3550, 36u=50, v=37 → 62, 5

a=1131,b=3700,c=3869

alpha/2 = 13 / 87
= 2041 mod 6829

(1197, 1706i) 1707=1 mod 6829

53*73 = 3869

50, 38u=50, v=39

a=979,b=3900,c=4021

alpha/2 = 11 / 89
= 1458 mod 6829

(378, 567i) 1707=1 mod 6829

4021

50, 40u=50, v=41 → 55, 34

a=819,b=4100,c=4181

alpha/2 = 9 / 91
= 4953 mod 6829

(843, 2859i) 569=1 mod 6829

37*113 = 4181

50, 42u=50, v=43

a=651,b=4300,c=4349

alpha/2 = 7 / 93
= 3231 mod 6829

(768, 2480i) 569=1 mod 6829

4349

50, 4450, 4550, 46u=50, v=47 → 65, 22

a=291,b=4700,c=4709

alpha/2 = 3 / 97
= 5773 mod 6829

(1093, 1163i) 1138=1 mod 6829

17*277 = 4709

50, 48u=50, v=49 f(u,49)=u2+2401;↓ → 70, 1

a=99,b=4900,c=4901

alpha/2 = 1 / 99
= 3449 mod 6829

(2660, 2992i) 3414=1 mod 6829

13*13*29 = 4901

51, 1u=51, v=2 → 42, 29

a=2597,b=204,c=2605

alpha/2 = 49 / 53
= 3351 mod 6829

(1649, 2340i) 569=1 mod 6829

5*521 = 2605

51, 3u=51, v=4

a=2585,b=408,c=2617

alpha/2 = 47 / 55
= 870 mod 6829

(2821, 3300i) 3414=1 mod 6829

2617

51, 551, 651, 7u=51, v=8 → 37, 36

a=2537,b=816,c=2665

alpha/2 = 43 / 59
= 6251 mod 6829

(689, 1582i) 3414=1 mod 6829

5*13*41 = 2665

51, 9u=51, v=10 → 45, 26

a=2501,b=1020,c=2701

alpha/2 = 41 / 61
= 3807 mod 6829

(171, 2243i) 1138=1 mod 6829

37*73 = 2701

51, 1151, 1251, 13u=51, v=14

a=2405,b=1428,c=2797

alpha/2 = 37 / 65
= 736 mod 6829

(711, 1801i) 1138=1 mod 6829

2797

51, 15u=51, v=16

a=2345,b=1632,c=2857

alpha/2 = 35 / 67
= 714 mod 6829

(792, 1320i) 3414=1 mod 6829

2857

51, 1751, 1851, 19u=51, v=20

a=2201,b=2040,c=3001

alpha/2 = 31 / 71
= 1347 mod 6829

(2111, 2654i) 1138=1 mod 6829

3001

51, 21u=51, v=22 → 54, 13

a=2117,b=2244,c=3085

alpha/2 = 29 / 73
= 2152 mod 6829

(898, 2263i) 569=1 mod 6829

5*617 = 3085

51, 2351, 2451, 25u=51, v=26 → 54, 19

a=1925,b=2652,c=3277

alpha/2 = 25 / 77
= 5499 mod 6829

(14, 1868i) 3414=1 mod 6829

29*113 = 3277

51, 27u=51, v=28 → 53, 24

a=1817,b=2856,c=3385

alpha/2 = 23 / 79
= 4236 mod 6829

(1833, 2608i) 3414=1 mod 6829

5*677 = 3385

51, 2951, 3051, 31u=51, v=32 → 59, 12

a=1577,b=3264,c=3625

alpha/2 = 19 / 83
= 823 mod 6829

(1954, 3326i) 3414=1 mod 6829

5*5*5*29 = 3625

51, 3351, 3451, 3551, 3651, 37u=51, v=38 → 61, 18

a=1157,b=3876,c=4045

alpha/2 = 13 / 89
= 5448 mod 6829

(1195, 2324i) 1707=1 mod 6829

5*809 = 4045

51, 39u=51, v=40

a=1001,b=4080,c=4201

alpha/2 = 11 / 91
= 1501 mod 6829

(2482, 3151i) 3414=1 mod 6829

4201

51, 4151, 4251, 43u=51, v=44 → 64, 21

a=665,b=4488,c=4537

alpha/2 = 7 / 95
= 6254 mod 6829

(1893, 3239i) 3414=1 mod 6829

13*349 = 4537

51, 45u=51, v=46 → 66, 19

a=485,b=4692,c=4717

alpha/2 = 5 / 97
= 5069 mod 6829

(735, 2150i) 3414=1 mod 6829

53*89 = 4717

51, 4751, 4851, 49u=51, v=50 f(u,50)=u2+2500;↓

a=101,b=5100,c=5101

alpha/2 = 1 / 101
= 3854 mod 6829

(904, 2628i) 3414=1 mod 6829

5101

u=52, v=1 f(52,v)=2704+v2;→ → 41, 32

a=2703,b=104,c=2705

alpha/2 = 51 / 53
= 1676 mod 6829

(307, 2358i) 3414=1 mod 6829

5*541 = 2705

52, 2u=52, v=3

a=2695,b=312,c=2713

alpha/2 = 49 / 55
= 2360 mod 6829

(1544, 2847i) 1707=1 mod 6829

2713

52, 4u=52, v=5

a=2679,b=520,c=2729

alpha/2 = 47 / 57
= 2996 mod 6829

(200, 2081i) 3414=1 mod 6829

2729

52, 6u=52, v=7

a=2655,b=728,c=2753

alpha/2 = 45 / 59
= 348 mod 6829

(507, 1119i) 3414=1 mod 6829

2753

52, 8u=52, v=9 → 47, 24

a=2623,b=936,c=2785

alpha/2 = 43 / 61
= 6158 mod 6829

(842, 1824i) 1138=1 mod 6829

5*557 = 2785

52, 10u=52, v=11 → 53, 4

a=2583,b=1144,c=2825

alpha/2 = 41 / 63
= 1735 mod 6829

(2663, 2927i) 1707=1 mod 6829

5*5*113 = 2825

52, 1252, 1352, 14u=52, v=15 → 48, 25

a=2479,b=1560,c=2929

alpha/2 = 37 / 67
= 6218 mod 6829

(2365, 2732i) 1707=1 mod 6829

29*101 = 2929

52, 16u=52, v=17 → 47, 28

a=2415,b=1768,c=2993

alpha/2 = 35 / 69
= 5147 mod 6829

(1033, 1258i) 1707=1 mod 6829

41*73 = 2993

52, 18u=52, v=19 → 53, 16

a=2343,b=1976,c=3065

alpha/2 = 33 / 71
= 6060 mod 6829

(1957, 2554i) 3414=1 mod 6829

5*613 = 3065

52, 20u=52, v=21 → 43, 36 → 56, 3

a=2263,b=2184,c=3145

alpha/2 = 31 / 73
= 1123 mod 6829

(2314, 2479i) 569=1 mod 6829

5*17*37 = 3145

52, 22u=52, v=23 → 47, 32

a=2175,b=2392,c=3233

alpha/2 = 29 / 75
= 4462 mod 6829

(935, 1818i) 1707=1 mod 6829

53*61 = 3233

52, 24u=52, v=25

a=2079,b=2600,c=3329

alpha/2 = 27 / 77
= 2661 mod 6829

(1462, 2147i) 1707=1 mod 6829

3329

52, 26u=52, v=27

a=1975,b=2808,c=3433

alpha/2 = 25 / 79
= 5792 mod 6829

(2137, 3355i) 3414=1 mod 6829

3433

52, 28u=52, v=29 → 59, 8

a=1863,b=3016,c=3545

alpha/2 = 23 / 81
= 2108 mod 6829

(3012, 3047i) 3414=1 mod 6829

5*709 = 3545

52, 30u=52, v=31 → 56, 23

a=1743,b=3224,c=3665

alpha/2 = 21 / 83
= 3785 mod 6829

(1888, 2945i) 569=1 mod 6829

5*733 = 3665

52, 32u=52, v=33

a=1615,b=3432,c=3793

alpha/2 = 19 / 85
= 1125 mod 6829

(744, 2968i) 1138=1 mod 6829

3793

52, 34u=52, v=35

a=1479,b=3640,c=3929

alpha/2 = 17 / 87
= 2669 mod 6829

(611, 1297i) 569=1 mod 6829

3929

52, 36u=52, v=37

a=1335,b=3848,c=4073

alpha/2 = 15 / 89
= 2609 mod 6829

(514, 1678i) 569=1 mod 6829

4073

52, 3852, 3952, 40u=52, v=41 → 64, 17

a=1023,b=4264,c=4385

alpha/2 = 11 / 93
= 1175 mod 6829

(875, 3053i) 1707=1 mod 6829

5*877 = 4385

52, 42u=52, v=43 → 67, 8

a=855,b=4472,c=4553

alpha/2 = 9 / 95
= 3163 mod 6829

(242, 2565i) 1138=1 mod 6829

29*157 = 4553

52, 44u=52, v=45

a=679,b=4680,c=4729

alpha/2 = 7 / 97
= 4365 mod 6829

(388, 2436i) 1138=1 mod 6829

4729

52, 46u=52, v=47

a=495,b=4888,c=4913

alpha/2 = 5 / 99
= 3587 mod 6829

(902, 1471i) 1138=1 mod 6829

17*17*17 = 4913

52, 48u=52, v=49 → 71, 8

a=303,b=5096,c=5105

alpha/2 = 3 / 101
= 4733 mod 6829

(2872, 3362i) 1707=1 mod 6829

5*1021 = 5105

52, 50u=52, v=51 f(u,51)=u2+2601;↓ → 72, 11

a=103,b=5304,c=5305

alpha/2 = 1 / 103
= 6166 mod 6829

(1294, 3195i) 1138=1 mod 6829

5*1061 = 5305

53, 1u=53, v=2 → 38, 37

a=2805,b=212,c=2813

alpha/2 = 51 / 55
= 3850 mod 6829

(959, 1511i) 3414=1 mod 6829

29*97 = 2813

53, 3u=53, v=4 → 52, 11

a=2793,b=424,c=2825

alpha/2 = 49 / 57
= 2397 mod 6829

(1229, 2613i) 1707=1 mod 6829

5*5*113 = 2825

53, 5u=53, v=6 → 46, 27

a=2773,b=636,c=2845

alpha/2 = 47 / 59
= 1274 mod 6829

(1192, 2571i) 1707=1 mod 6829

5*569 = 2845

53, 7u=53, v=8 → 43, 32

a=2745,b=848,c=2873

alpha/2 = 45 / 61
= 1680 mod 6829

(856, 1159i) 1707=1 mod 6829

13*13*17 = 2873

53, 9u=53, v=10

a=2709,b=1060,c=2909

alpha/2 = 43 / 63
= 2819 mod 6829

(208, 941i) 569=1 mod 6829

2909

53, 11u=53, v=12

a=2665,b=1272,c=2953

alpha/2 = 41 / 65
= 631 mod 6829

(2030, 3276i) 3414=1 mod 6829

2953

53, 13u=53, v=14 → 43, 34

a=2613,b=1484,c=3005

alpha/2 = 39 / 67
= 4893 mod 6829

(644, 2922i) 1138=1 mod 6829

5*601 = 3005

53, 15u=53, v=16 → 52, 19

a=2553,b=1696,c=3065

alpha/2 = 37 / 69
= 5246 mod 6829

(1568, 1634i) 1707=1 mod 6829

5*613 = 3065

53, 17u=53, v=18 → 42, 37

a=2485,b=1908,c=3133

alpha/2 = 35 / 71
= 3944 mod 6829

(66, 2083i) 3414=1 mod 6829

13*241 = 3133

53, 19u=53, v=20

a=2409,b=2120,c=3209

alpha/2 = 33 / 73
= 94 mod 6829

(754, 2680i) 3414=1 mod 6829

3209

53, 21u=53, v=22 → 43, 38

a=2325,b=2332,c=3293

alpha/2 = 31 / 75
= 1002 mod 6829

(1059, 1621i) 1707=1 mod 6829

37*89 = 3293

53, 23u=53, v=24 → 51, 28

a=2233,b=2544,c=3385

alpha/2 = 29 / 77
= 6652 mod 6829

(261, 1429i) 3414=1 mod 6829

5*677 = 3385

53, 25u=53, v=26 → 46, 37 → 59, 2

a=2133,b=2756,c=3485

alpha/2 = 27 / 79
= 519 mod 6829

(2770, 3021i) 569=1 mod 6829

5*17*41 = 3485

53, 27u=53, v=28

a=2025,b=2968,c=3593

alpha/2 = 25 / 81
= 6745 mod 6829

(1079, 1858i) 569=1 mod 6829

3593

53, 29u=53, v=30

a=1909,b=3180,c=3709

alpha/2 = 23 / 83
= 6747 mod 6829

(395, 1837i) 3414=1 mod 6829

3709

53, 31u=53, v=32

a=1785,b=3392,c=3833

alpha/2 = 21 / 85
= 884 mod 6829

(1293, 2570i) 3414=1 mod 6829

3833

53, 33u=53, v=34 → 46, 43 → 62, 11

a=1653,b=3604,c=3965

alpha/2 = 19 / 87
= 2983 mod 6829

(1327, 1467i) 3414=1 mod 6829

5*13*61 = 3965

53, 35u=53, v=36 → 64, 3

a=1513,b=3816,c=4105

alpha/2 = 17 / 89
= 6599 mod 6829

(1295, 2856i) 1138=1 mod 6829

5*821 = 4105

53, 37u=53, v=38

a=1365,b=4028,c=4253

alpha/2 = 15 / 91
= 1426 mod 6829

(97, 316i) 1707=1 mod 6829

4253

53, 39u=53, v=40

a=1209,b=4240,c=4409

alpha/2 = 13 / 93
= 147 mod 6829

(224, 1070i) 3414=1 mod 6829

4409

53, 41u=53, v=42 → 62, 27

a=1045,b=4452,c=4573

alpha/2 = 11 / 95
= 72 mod 6829

(107, 947i) 1138=1 mod 6829

17*269 = 4573

53, 43u=53, v=44 → 68, 11

a=873,b=4664,c=4745

alpha/2 = 9 / 97
= 3661 mod 6829

(461, 2703i) 1707=1 mod 6829

5*13*73 = 4745

53, 45u=53, v=46 → 59, 38

a=693,b=4876,c=4925

alpha/2 = 7 / 99
= 3656 mod 6829

(476, 2034i) 1707=1 mod 6829

5*5*197 = 4925

53, 47u=53, v=48

a=505,b=5088,c=5113

alpha/2 = 5 / 101
= 5612 mod 6829

(1955, 2869i) 1138=1 mod 6829

5113

53, 49u=53, v=50

a=309,b=5300,c=5309

alpha/2 = 3 / 103
= 4840 mod 6829

(184, 2789i) 3414=1 mod 6829

5309

53, 51u=53, v=52 f(u,52)=u2+2704;↓ → 67, 32

a=105,b=5512,c=5513

alpha/2 = 1 / 105
= 1691 mod 6829

(191, 327i) 1138=1 mod 6829

37*149 = 5513

u=54, v=1 f(54,v)=2916+v2;→

a=2915,b=108,c=2917

alpha/2 = 53 / 55
= 5340 mod 6829

(1194, 3014i) 569=1 mod 6829

2917

54, 254, 354, 4u=54, v=5 → 50, 21

a=2891,b=540,c=2941

alpha/2 = 49 / 59
= 2200 mod 6829

(1328, 3412i) 3414=1 mod 6829

17*173 = 2941

54, 6u=54, v=7 → 39, 38

a=2867,b=756,c=2965

alpha/2 = 47 / 61
= 4031 mod 6829

(766, 1039i) 1707=1 mod 6829

5*593 = 2965

54, 854, 954, 10u=54, v=11

a=2795,b=1188,c=3037

alpha/2 = 43 / 65
= 3993 mod 6829

(1078, 2183i) 3414=1 mod 6829

3037

54, 12u=54, v=13 → 51, 22

a=2747,b=1404,c=3085

alpha/2 = 41 / 67
= 3568 mod 6829

(854, 2230i) 569=1 mod 6829

5*617 = 3085

54, 1454, 1554, 16u=54, v=17 → 46, 33

a=2627,b=1836,c=3205

alpha/2 = 37 / 71
= 1828 mod 6829

(1606, 2530i) 1707=1 mod 6829

5*641 = 3205

54, 18u=54, v=19 → 51, 26

a=2555,b=2052,c=3277

alpha/2 = 35 / 73
= 5894 mod 6829

(3114, 3371i) 569=1 mod 6829

29*113 = 3277

54, 2054, 2154, 22u=54, v=23 → 42, 41 → 58, 9

a=2387,b=2484,c=3445

alpha/2 = 31 / 77
= 3814 mod 6829

(1089, 1601i) 1707=1 mod 6829

5*13*53 = 3445

54, 24u=54, v=25

a=2291,b=2700,c=3541

alpha/2 = 29 / 79
= 2075 mod 6829

(396, 2219i) 569=1 mod 6829

3541

54, 2654, 2754, 28u=54, v=29 → 61, 6

a=2075,b=3132,c=3757

alpha/2 = 25 / 83
= 2880 mod 6829

(1651, 1895i) 1707=1 mod 6829

13*17*17 = 3757

54, 30u=54, v=31

a=1955,b=3348,c=3877

alpha/2 = 23 / 85
= 643 mod 6829

(2414, 2662i) 569=1 mod 6829

3877

54, 3254, 3354, 34u=54, v=35 → 46, 45

a=1691,b=3780,c=4141

alpha/2 = 19 / 89
= 3760 mod 6829

(212, 1887i) 1707=1 mod 6829

41*101 = 4141

54, 36u=54, v=37 → 62, 21

a=1547,b=3996,c=4285

alpha/2 = 17 / 91
= 4803 mod 6829

(1129, 2387i) 569=1 mod 6829

5*857 = 4285

54, 3854, 3954, 40u=54, v=41

a=1235,b=4428,c=4597

alpha/2 = 13 / 95
= 3810 mod 6829

(773, 1979i) 569=1 mod 6829

4597

54, 42u=54, v=43 → 69, 2

a=1067,b=4644,c=4765

alpha/2 = 11 / 97
= 2957 mod 6829

(1705, 1989i) 3414=1 mod 6829

5*953 = 4765

54, 4454, 4554, 46u=54, v=47 → 63, 34

a=707,b=5076,c=5125

alpha/2 = 7 / 101
= 6491 mod 6829

(1590, 2409i) 3414=1 mod 6829

5*5*5*41 = 5125

54, 48u=54, v=49 → 66, 31

a=515,b=5292,c=5317

alpha/2 = 5 / 103
= 3514 mod 6829

(1956, 3411i) 3414=1 mod 6829

13*409 = 5317

54, 5054, 5154, 52u=54, v=53 f(u,53)=u2+2809;↓ → 66, 37

a=107,b=5724,c=5725

alpha/2 = 1 / 107
= 3957 mod 6829

(736, 3197i) 3414=1 mod 6829

5*5*229 = 5725

55, 1u=55, v=2 → 50, 23

a=3021,b=220,c=3029

alpha/2 = 53 / 57
= 1199 mod 6829

(36, 991i) 3414=1 mod 6829

13*233 = 3029

55, 3u=55, v=4

a=3009,b=440,c=3041

alpha/2 = 51 / 59
= 3126 mod 6829

(2186, 2394i) 3414=1 mod 6829

3041

55, 5u=55, v=6

a=2989,b=660,c=3061

alpha/2 = 49 / 61
= 6382 mod 6829

(262, 1022i) 1707=1 mod 6829

3061

55, 7u=55, v=8

a=2961,b=880,c=3089

alpha/2 = 47 / 63
= 4987 mod 6829

(2212, 2410i) 1138=1 mod 6829

3089

55, 955, 1055, 11u=55, v=12

a=2881,b=1320,c=3169

alpha/2 = 43 / 67
= 2243 mod 6829

(1455, 1546i) 1138=1 mod 6829

3169

55, 13u=55, v=14

a=2829,b=1540,c=3221

alpha/2 = 41 / 69
= 5444 mod 6829

(544, 2249i) 1138=1 mod 6829

3221

55, 15u=55, v=16 → 41, 40

a=2769,b=1760,c=3281

alpha/2 = 39 / 71
= 6541 mod 6829

(1547, 1939i) 1138=1 mod 6829

17*193 = 3281

55, 17u=55, v=18 → 57, 10

a=2701,b=1980,c=3349

alpha/2 = 37 / 73
= 4865 mod 6829

(1553, 2472i) 1707=1 mod 6829

17*197 = 3349

55, 1955, 2055, 2155, 2255, 23u=55, v=24 → 60, 1

a=2449,b=2640,c=3601

alpha/2 = 31 / 79
= 3631 mod 6829

(1598, 2311i) 3414=1 mod 6829

13*277 = 3601

55, 25u=55, v=26

a=2349,b=2860,c=3701

alpha/2 = 29 / 81
= 2361 mod 6829

(473, 3204i) 3414=1 mod 6829

3701

55, 27u=55, v=28 → 47, 40

a=2241,b=3080,c=3809

alpha/2 = 27 / 83
= 5842 mod 6829

(1403, 2513i) 3414=1 mod 6829

13*293 = 3809

55, 2955, 3055, 31u=55, v=32

a=2001,b=3520,c=4049

alpha/2 = 23 / 87
= 3611 mod 6829

(126, 2556i) 3414=1 mod 6829

4049

55, 33u=55, v=34 → 50, 41

a=1869,b=3740,c=4181

alpha/2 = 21 / 89
= 921 mod 6829

(1123, 2804i) 3414=1 mod 6829

37*113 = 4181

55, 35u=55, v=36 → 64, 15

a=1729,b=3960,c=4321

alpha/2 = 19 / 91
= 1351 mod 6829

(361, 1501i) 1707=1 mod 6829

29*149 = 4321

55, 37u=55, v=38 → 62, 25

a=1581,b=4180,c=4469

alpha/2 = 17 / 93
= 4920 mod 6829

(2834, 3382i) 3414=1 mod 6829

41*109 = 4469

55, 3955, 4055, 41u=55, v=42

a=1261,b=4620,c=4789

alpha/2 = 13 / 97
= 2253 mod 6829

(640, 1002i) 569=1 mod 6829

4789

55, 4355, 4455, 45u=55, v=46 → 71, 10

a=909,b=5060,c=5141

alpha/2 = 9 / 101
= 541 mod 6829

(2214, 3240i) 3414=1 mod 6829

53*97 = 5141

55, 47u=55, v=48

a=721,b=5280,c=5329

alpha/2 = 7 / 103
= 2188 mod 6829

(823, 2509i) 3414=1 mod 6829

73*73 = 5329

55, 4955, 5055, 51u=55, v=52 → 73, 20

a=321,b=5720,c=5729

alpha/2 = 3 / 107
= 5042 mod 6829

(1371, 3408i) 3414=1 mod 6829

17*337 = 5729

55, 53u=55, v=54 f(u,54)=u2+2916;↓ → 71, 30

a=109,b=5940,c=5941

alpha/2 = 1 / 109
= 4135 mod 6829

(177, 1193i) 3414=1 mod 6829

13*457 = 5941

u=56, v=1 f(56,v)=3136+v2;→

a=3135,b=112,c=3137

alpha/2 = 55 / 57
= 600 mod 6829

(565, 2449i) 3414=1 mod 6829

3137

56, 2u=56, v=3 → 43, 36

a=3127,b=336,c=3145

alpha/2 = 53 / 59
= 4052 mod 6829

(356, 2459i) 1707=1 mod 6829

5*17*37 = 3145

56, 4u=56, v=5 → 44, 35

a=3111,b=560,c=3161

alpha/2 = 51 / 61
= 1904 mod 6829

(1668, 2291i) 1707=1 mod 6829

29*109 = 3161

56, 656, 756, 8u=56, v=9

a=3055,b=1008,c=3217

alpha/2 = 47 / 65
= 3888 mod 6829

(1485, 3176i) 1707=1 mod 6829

3217

56, 10u=56, v=11

a=3015,b=1232,c=3257

alpha/2 = 45 / 67
= 918 mod 6829

(1932, 1965i) 3414=1 mod 6829

3257

56, 12u=56, v=13 → 44, 37

a=2967,b=1456,c=3305

alpha/2 = 43 / 69
= 5543 mod 6829

(160, 891i) 569=1 mod 6829

5*661 = 3305

56, 14u=56, v=15

a=2911,b=1680,c=3361

alpha/2 = 41 / 71
= 4425 mod 6829

(543, 3392i) 3414=1 mod 6829

3361

56, 16u=56, v=17 → 49, 32

a=2847,b=1904,c=3425

alpha/2 = 39 / 73
= 3836 mod 6829

(1680, 2095i) 3414=1 mod 6829

5*5*137 = 3425

56, 18u=56, v=19 → 59, 4

a=2775,b=2128,c=3497

alpha/2 = 37 / 75
= 4280 mod 6829

(688, 1208i) 1707=1 mod 6829

13*269 = 3497

56, 2056, 2156, 22u=56, v=23 → 52, 31

a=2607,b=2576,c=3665

alpha/2 = 33 / 79
= 5187 mod 6829

(2900, 3200i) 1138=1 mod 6829

5*733 = 3665

56, 24u=56, v=25

a=2511,b=2800,c=3761

alpha/2 = 31 / 81
= 169 mod 6829

(284, 362i) 1707=1 mod 6829

3761

56, 26u=56, v=27 → 61, 12

a=2407,b=3024,c=3865

alpha/2 = 29 / 83
= 1975 mod 6829

(1453, 1494i) 3414=1 mod 6829

5*773 = 3865

56, 28u=56, v=29 → 61, 16

a=2295,b=3248,c=3977

alpha/2 = 27 / 85
= 161 mod 6829

(2568, 3282i) 569=1 mod 6829

41*97 = 3977

56, 30u=56, v=31 → 64, 1

a=2175,b=3472,c=4097

alpha/2 = 25 / 87
= 3925 mod 6829

(1851, 2023i) 1707=1 mod 6829

17*241 = 4097

56, 32u=56, v=33 → 63, 16

a=2047,b=3696,c=4225

alpha/2 = 23 / 89
= 4911 mod 6829

(442, 958i) 3414=1 mod 6829

5*5*13*13 = 4225

56, 3456, 3556, 36u=56, v=37 → 67, 4

a=1767,b=4144,c=4505

alpha/2 = 19 / 93
= 3892 mod 6829

(660, 2876i) 3414=1 mod 6829

5*17*53 = 4505

56, 38u=56, v=39

a=1615,b=4368,c=4657

alpha/2 = 17 / 95
= 4457 mod 6829

(1870, 3209i) 1707=1 mod 6829

4657

56, 40u=56, v=41

a=1455,b=4592,c=4817

alpha/2 = 15 / 97
= 1549 mod 6829

(72, 2265i) 1707=1 mod 6829

4817

56, 42u=56, v=43 → 68, 19

a=1287,b=4816,c=4985

alpha/2 = 13 / 99
= 3863 mod 6829

(210, 1545i) 1707=1 mod 6829

5*997 = 4985

56, 44u=56, v=45 → 69, 20

a=1111,b=5040,c=5161

alpha/2 = 11 / 101
= 1420 mod 6829

(1133, 2625i) 569=1 mod 6829

13*397 = 5161

56, 46u=56, v=47 → 73, 4

a=927,b=5264,c=5345

alpha/2 = 9 / 103
= 862 mod 6829

(383, 3216i) 1707=1 mod 6829

5*1069 = 5345

56, 4856, 4956, 50u=56, v=51

a=535,b=5712,c=5737

alpha/2 = 5 / 107
= 6127 mod 6829

(2096, 2970i) 1138=1 mod 6829

5737

56, 52u=56, v=53 → 77, 4

a=327,b=5936,c=5945

alpha/2 = 3 / 109
= 5576 mod 6829

(348, 1013i) 1138=1 mod 6829

5*29*41 = 5945

56, 54u=56, v=55 f(u,55)=u2+3025;↓ → 65, 44

a=111,b=6160,c=6161

alpha/2 = 1 / 111
= 2707 mod 6829

(2055, 2749i) 3414=1 mod 6829

61*101 = 6161

57, 1u=57, v=2

a=3245,b=228,c=3253

alpha/2 = 55 / 59
= 4978 mod 6829

(802, 2369i) 569=1 mod 6829

3253

57, 3u=57, v=4 → 48, 31

a=3233,b=456,c=3265

alpha/2 = 53 / 61
= 4255 mod 6829

(437, 2308i) 1138=1 mod 6829

5*653 = 3265

57, 557, 657, 7u=57, v=8

a=3185,b=912,c=3313

alpha/2 = 49 / 65
= 421 mod 6829

(1617, 2144i) 569=1 mod 6829

3313

57, 9u=57, v=10 → 55, 18

a=3149,b=1140,c=3349

alpha/2 = 47 / 67
= 6422 mod 6829

(786, 1060i) 569=1 mod 6829

17*197 = 3349

57, 1157, 1257, 13u=57, v=14 → 42, 41 → 58, 9

a=3053,b=1596,c=3445

alpha/2 = 43 / 71
= 2309 mod 6829

(324, 3075i) 3414=1 mod 6829

5*13*53 = 3445

57, 15u=57, v=16 → 47, 36

a=2993,b=1824,c=3505

alpha/2 = 41 / 73
= 2807 mod 6829

(2885, 3023i) 1707=1 mod 6829

5*701 = 3505

57, 1757, 1857, 19u=57, v=20 → 60, 7

a=2849,b=2280,c=3649

alpha/2 = 37 / 77
= 2129 mod 6829

(216, 2320i) 3414=1 mod 6829

41*89 = 3649

57, 21u=57, v=22

a=2765,b=2508,c=3733

alpha/2 = 35 / 79
= 6743 mod 6829

(2260, 3149i) 1138=1 mod 6829

3733

57, 2357, 2457, 25u=57, v=26 → 62, 9

a=2573,b=2964,c=3925

alpha/2 = 31 / 83
= 4937 mod 6829

(1158, 3065i) 1707=1 mod 6829

5*5*157 = 3925

57, 27u=57, v=28 → 63, 8

a=2465,b=3192,c=4033

alpha/2 = 29 / 85
= 6749 mod 6829

(1213, 1435i) 1707=1 mod 6829

37*109 = 4033

57, 2957, 3057, 31u=57, v=32

a=2225,b=3648,c=4273

alpha/2 = 25 / 89
= 2072 mod 6829

(223, 244i) 569=1 mod 6829

4273

57, 33u=57, v=34 → 66, 7

a=2093,b=3876,c=4405

alpha/2 = 23 / 91
= 1276 mod 6829

(982, 2049i) 1138=1 mod 6829

5*881 = 4405

57, 3557, 3657, 3757, 3857, 39u=57, v=40 → 68, 15

a=1649,b=4560,c=4849

alpha/2 = 17 / 97
= 845 mod 6829

(1037, 1308i) 3414=1 mod 6829

13*373 = 4849

57, 4157, 4257, 43u=57, v=44 → 72, 1

a=1313,b=5016,c=5185

alpha/2 = 13 / 101
= 2299 mod 6829

(2296, 2612i) 569=1 mod 6829

5*17*61 = 5185

57, 45u=57, v=46 → 73, 6

a=1133,b=5244,c=5365

alpha/2 = 11 / 103
= 6365 mod 6829

(948, 3280i) 1707=1 mod 6829

5*29*37 = 5365

57, 4757, 4857, 49u=57, v=50

a=749,b=5700,c=5749

alpha/2 = 7 / 107
= 383 mod 6829

(1259, 2661i) 1138=1 mod 6829

5749

57, 51u=57, v=52

a=545,b=5928,c=5953

alpha/2 = 5 / 109
= 188 mod 6829

(319, 1490i) 3414=1 mod 6829

5953

57, 5357, 5457, 55u=57, v=56 f(u,56)=u2+3136;↓ → 79, 12

a=113,b=6384,c=6385

alpha/2 = 1 / 113
= 5016 mod 6829

(2385, 3061i) 1138=1 mod 6829

5*1277 = 6385

u=58, v=1 f(58,v)=3364+v2;→ → 47, 34

a=3363,b=116,c=3365

alpha/2 = 57 / 59
= 5904 mod 6829

(139, 1175i) 1138=1 mod 6829

5*673 = 3365

58, 2u=58, v=3

a=3355,b=348,c=3373

alpha/2 = 55 / 61
= 6606 mod 6829

(403, 1315i) 1707=1 mod 6829

3373

58, 4u=58, v=5

a=3339,b=580,c=3389

alpha/2 = 53 / 63
= 1410 mod 6829

(2681, 3057i) 1707=1 mod 6829

3389

58, 6u=58, v=7

a=3315,b=812,c=3413

alpha/2 = 51 / 65
= 3783 mod 6829

(1735, 2210i) 1707=1 mod 6829

3413

58, 8u=58, v=9 → 42, 41

a=3283,b=1044,c=3445

alpha/2 = 49 / 67
= 5097 mod 6829

(1563, 2833i) 3414=1 mod 6829

5*13*53 = 3445

58, 10u=58, v=11 → 46, 37 → 59, 2

a=3243,b=1276,c=3485

alpha/2 = 47 / 69
= 5741 mod 6829

(46, 2246i) 1138=1 mod 6829

5*17*41 = 3485

58, 12u=58, v=13

a=3195,b=1508,c=3533

alpha/2 = 45 / 71
= 193 mod 6829

(1367, 2307i) 3414=1 mod 6829

3533

58, 14u=58, v=15 → 50, 33

a=3139,b=1740,c=3589

alpha/2 = 43 / 73
= 1778 mod 6829

(127, 1329i) 569=1 mod 6829

37*97 = 3589

58, 16u=58, v=17 → 47, 38

a=3075,b=1972,c=3653

alpha/2 = 41 / 75
= 4189 mod 6829

(932, 2039i) 1707=1 mod 6829

13*281 = 3653

58, 18u=58, v=19 → 61, 2

a=3003,b=2204,c=3725

alpha/2 = 39 / 77
= 6120 mod 6829

(1112, 3072i) 1707=1 mod 6829

5*5*149 = 3725

58, 20u=58, v=21 → 59, 18

a=2923,b=2436,c=3805

alpha/2 = 37 / 79
= 1470 mod 6829

(1424, 3224i) 1707=1 mod 6829

5*761 = 3805

58, 22u=58, v=23 → 62, 7

a=2835,b=2668,c=3893

alpha/2 = 35 / 81
= 2614 mod 6829

(220, 1443i) 1707=1 mod 6829

17*229 = 3893

58, 24u=58, v=25

a=2739,b=2900,c=3989

alpha/2 = 33 / 83
= 1070 mod 6829

(1586, 2331i) 1138=1 mod 6829

3989

58, 26u=58, v=27

a=2635,b=3132,c=4093

alpha/2 = 31 / 85
= 6508 mod 6829

(91, 1574i) 1707=1 mod 6829

4093

58, 2858, 2958, 30u=58, v=31 → 47, 46

a=2403,b=3596,c=4325

alpha/2 = 27 / 89
= 6062 mod 6829

(1384, 3029i) 1707=1 mod 6829

5*5*173 = 4325

58, 32u=58, v=33 → 63, 22

a=2275,b=3828,c=4453

alpha/2 = 25 / 91
= 4653 mod 6829

(381, 571i) 1707=1 mod 6829

61*73 = 4453

58, 34u=58, v=35 → 67, 10

a=2139,b=4060,c=4589

alpha/2 = 23 / 93
= 1836 mod 6829

(425, 3199i) 3414=1 mod 6829

13*353 = 4589

58, 36u=58, v=37

a=1995,b=4292,c=4733

alpha/2 = 21 / 95
= 5104 mod 6829

(1125, 1188i) 3414=1 mod 6829

4733

58, 38u=58, v=39 → 66, 23

a=1843,b=4524,c=4885

alpha/2 = 19 / 97
= 141 mod 6829

(1726, 2337i) 569=1 mod 6829

5*977 = 4885

58, 40u=58, v=41 → 71, 2

a=1683,b=4756,c=5045

alpha/2 = 17 / 99
= 4001 mod 6829

(1886, 2669i) 1707=1 mod 6829

5*1009 = 5045

58, 42u=58, v=43 → 62, 37

a=1515,b=4988,c=5213

alpha/2 = 15 / 101
= 3178 mod 6829

(2135, 2995i) 3414=1 mod 6829

13*401 = 5213

58, 44u=58, v=45 → 67, 30

a=1339,b=5220,c=5389

alpha/2 = 13 / 103
= 5039 mod 6829

(423, 850i) 3414=1 mod 6829

17*317 = 5389

58, 46u=58, v=47

a=1155,b=5452,c=5573

alpha/2 = 11 / 105
= 4943 mod 6829

(1244, 1951i) 3414=1 mod 6829

5573

58, 48u=58, v=49 → 74, 17

a=963,b=5684,c=5765

alpha/2 = 9 / 107
= 1468 mod 6829

(2701, 2780i) 3414=1 mod 6829

5*1153 = 5765

58, 50u=58, v=51 → 77, 6

a=763,b=5916,c=5965

alpha/2 = 7 / 109
= 1629 mod 6829

(88, 1572i) 569=1 mod 6829

5*1193 = 5965

58, 52u=58, v=53

a=555,b=6148,c=6173

alpha/2 = 5 / 111
= 6706 mod 6829

(2031, 2737i) 3414=1 mod 6829

6173

58, 54u=58, v=55

a=339,b=6380,c=6389

alpha/2 = 3 / 113
= 1390 mod 6829

(1722, 3400i) 3414=1 mod 6829

6389

58, 56u=58, v=57 f(u,57)=u2+3249;↓ → 78, 23

a=115,b=6612,c=6613

alpha/2 = 1 / 115
= 4810 mod 6829

(410, 538i) 1707=1 mod 6829

17*389 = 6613

59, 1u=59, v=2 → 46, 37

a=3477,b=236,c=3485

alpha/2 = 57 / 61
= 2128 mod 6829

(972, 1357i) 1707=1 mod 6829

5*17*41 = 3485

59, 3u=59, v=4 → 56, 19

a=3465,b=472,c=3497

alpha/2 = 55 / 63
= 2494 mod 6829

(42, 2312i) 1138=1 mod 6829

13*269 = 3497

59, 5u=59, v=6

a=3445,b=708,c=3517

alpha/2 = 53 / 65
= 316 mod 6829

(1632, 3291i) 3414=1 mod 6829

3517

59, 7u=59, v=8 → 52, 29

a=3417,b=944,c=3545

alpha/2 = 51 / 67
= 3772 mod 6829

(923, 2538i) 3414=1 mod 6829

5*709 = 3545

59, 9u=59, v=10

a=3381,b=1180,c=3581

alpha/2 = 49 / 69
= 5840 mod 6829

(1135, 3281i) 1707=1 mod 6829

3581

59, 11u=59, v=12 → 51, 32

a=3337,b=1416,c=3625

alpha/2 = 47 / 71
= 4906 mod 6829

(2303, 3351i) 3414=1 mod 6829

5*5*5*29 = 3625

59, 13u=59, v=14

a=3285,b=1652,c=3677

alpha/2 = 45 / 73
= 749 mod 6829

(2549, 2920i) 1138=1 mod 6829

3677

59, 15u=59, v=16 → 61, 4

a=3225,b=1888,c=3737

alpha/2 = 43 / 75
= 729 mod 6829

(10, 460i) 3414=1 mod 6829

37*101 = 3737

59, 17u=59, v=18 → 58, 21

a=3157,b=2124,c=3805

alpha/2 = 41 / 77
= 3282 mod 6829

(82, 489i) 3414=1 mod 6829

5*761 = 3805

59, 19u=59, v=20

a=3081,b=2360,c=3881

alpha/2 = 39 / 79
= 3026 mod 6829

(1715, 3353i) 3414=1 mod 6829

3881

59, 21u=59, v=22 → 46, 43 → 62, 11

a=2997,b=2596,c=3965

alpha/2 = 37 / 81
= 422 mod 6829

(590, 3137i) 1707=1 mod 6829

5*13*61 = 3965

59, 23u=59, v=24

a=2905,b=2832,c=4057

alpha/2 = 35 / 83
= 4032 mod 6829

(2364, 2396i) 3414=1 mod 6829

4057

59, 25u=59, v=26

a=2805,b=3068,c=4157

alpha/2 = 33 / 85
= 6267 mod 6829

(755, 911i) 3414=1 mod 6829

4157

59, 27u=59, v=28 → 64, 13

a=2697,b=3304,c=4265

alpha/2 = 31 / 87
= 4867 mod 6829

(1128, 2502i) 1707=1 mod 6829

5*853 = 4265

59, 29u=59, v=30 → 66, 5

a=2581,b=3540,c=4381

alpha/2 = 29 / 89
= 3223 mod 6829

(1006, 1438i) 3414=1 mod 6829

13*337 = 4381

59, 31u=59, v=32 → 56, 37 → 67, 4

a=2457,b=3776,c=4505

alpha/2 = 27 / 91
= 1201 mod 6829

(1914, 2658i) 1707=1 mod 6829

5*17*53 = 4505

59, 33u=59, v=34

a=2325,b=4012,c=4637

alpha/2 = 25 / 93
= 808 mod 6829

(1410, 1971i) 569=1 mod 6829

4637

59, 35u=59, v=36 → 69, 4

a=2185,b=4248,c=4777

alpha/2 = 23 / 95
= 2013 mod 6829

(1076, 1196i) 3414=1 mod 6829

17*281 = 4777

59, 37u=59, v=38 → 53, 46

a=2037,b=4484,c=4925

alpha/2 = 21 / 97
= 6266 mod 6829

(1633, 2537i) 3414=1 mod 6829

5*5*197 = 4925

59, 39u=59, v=40

a=1881,b=4720,c=5081

alpha/2 = 19 / 99
= 4070 mod 6829

(1560, 2300i) 3414=1 mod 6829

5081

59, 41u=59, v=42 → 69, 22

a=1717,b=4956,c=5245

alpha/2 = 17 / 101
= 4057 mod 6829

(928, 2118i) 1707=1 mod 6829

5*1049 = 5245

59, 43u=59, v=44

a=1545,b=5192,c=5417

alpha/2 = 15 / 103
= 3713 mod 6829

(410, 538i) 1707=1 mod 6829

5417

59, 45u=59, v=46 → 74, 11

a=1365,b=5428,c=5597

alpha/2 = 13 / 105
= 1496 mod 6829

(1756, 3144i) 1138=1 mod 6829

29*193 = 5597

59, 47u=59, v=48 → 76, 3

a=1177,b=5664,c=5785

alpha/2 = 11 / 107
= 2553 mod 6829

(1015, 1172i) 1707=1 mod 6829

5*13*89 = 5785

59, 49u=59, v=50

a=981,b=5900,c=5981

alpha/2 = 9 / 109
= 3070 mod 6829

(2745, 2906i) 1707=1 mod 6829

5981

59, 51u=59, v=52 → 77, 16

a=777,b=6136,c=6185

alpha/2 = 7 / 111
= 5291 mod 6829

(1560, 2300i) 3414=1 mod 6829

5*1237 = 6185

59, 53u=59, v=54

a=565,b=6372,c=6397

alpha/2 = 5 / 113
= 4593 mod 6829

(1722, 3400i) 3414=1 mod 6829

6397

59, 55u=59, v=56 → 76, 29

a=345,b=6608,c=6617

alpha/2 = 3 / 115
= 772 mod 6829

(2031, 2737i) 3414=1 mod 6829

13*509 = 6617

59, 57u=59, v=58 f(u,58)=u2+3364;↓ → 82, 11

a=117,b=6844,c=6845

alpha/2 = 1 / 117
= 3969 mod 6829

(2135, 2995i) 3414=1 mod 6829

5*37*37 = 6845

u=60, v=1 f(60,v)=3600+v2;→ → 55, 24

a=3599,b=120,c=3601

alpha/2 = 59 / 61
= 4479 mod 6829

(1447, 1958i) 569=1 mod 6829

13*277 = 3601

60, 260, 360, 460, 560, 6u=60, v=7 → 57, 20

a=3551,b=840,c=3649

alpha/2 = 53 / 67
= 2447 mod 6829

(1933, 1936i) 569=1 mod 6829

41*89 = 3649

60, 860, 960, 10u=60, v=11

a=3479,b=1320,c=3721

alpha/2 = 49 / 71
= 2790 mod 6829

(1767, 3398i) 3414=1 mod 6829

61*61 = 3721

60, 12u=60, v=13

a=3431,b=1560,c=3769

alpha/2 = 47 / 73
= 6549 mod 6829

(669, 3217i) 1707=1 mod 6829

3769

60, 1460, 1560, 16u=60, v=17

a=3311,b=2040,c=3889

alpha/2 = 43 / 77
= 444 mod 6829

(1255, 3202i) 3414=1 mod 6829

3889

60, 18u=60, v=19 → 45, 44

a=3239,b=2280,c=3961

alpha/2 = 41 / 79
= 4582 mod 6829

(975, 1285i) 1138=1 mod 6829

17*233 = 3961

60, 2060, 2160, 22u=60, v=23

a=3071,b=2760,c=4129

alpha/2 = 37 / 83
= 165 mod 6829

(606, 2280i) 1138=1 mod 6829

4129

60, 2460, 2560, 2660, 2760, 28u=60, v=29

a=2759,b=3480,c=4441

alpha/2 = 31 / 89
= 384 mod 6829

(648, 2987i) 569=1 mod 6829

4441

60, 30u=60, v=31

a=2639,b=3720,c=4561

alpha/2 = 29 / 91
= 4578 mod 6829

(863, 3178i) 1707=1 mod 6829

4561

60, 3260, 3360, 3460, 3560, 36u=60, v=37

a=2231,b=4440,c=4969

alpha/2 = 23 / 97
= 5562 mod 6829

(656, 1985i) 1707=1 mod 6829

4969

60, 3860, 3960, 40u=60, v=41

a=1919,b=4920,c=5281

alpha/2 = 19 / 101
= 4936 mod 6829

(1009, 2853i) 3414=1 mod 6829

5281

60, 42u=60, v=43

a=1751,b=5160,c=5449

alpha/2 = 17 / 103
= 2387 mod 6829

(887, 2666i) 1707=1 mod 6829

5449

60, 4460, 4560, 46u=60, v=47 → 72, 25

a=1391,b=5640,c=5809

alpha/2 = 13 / 107
= 3638 mod 6829

(2003, 2820i) 1707=1 mod 6829

37*157 = 5809

60, 48u=60, v=49 → 76, 15

a=1199,b=5880,c=6001

alpha/2 = 11 / 109
= 4511 mod 6829

(2385, 3061i) 1138=1 mod 6829

17*353 = 6001

60, 5060, 5160, 52u=60, v=53 → 80, 3

a=791,b=6360,c=6409

alpha/2 = 7 / 113
= 967 mod 6829

(1933, 1936i) 569=1 mod 6829

13*17*29 = 6409

60, 5460, 5560, 5660, 5760, 58u=60, v=59 f(u,59)=u2+3481;↓ → 84, 5

a=119,b=7080,c=7081

alpha/2 = 1 / 119
= 4304 mod 6829

(948, 3280i) 1707=1 mod 6829

73*97 = 7081

61, 1u=61, v=2 → 58, 19

a=3717,b=244,c=3725

alpha/2 = 59 / 63
= 4662 mod 6829

(87, 2684i) 1707=1 mod 6829

5*5*149 = 3725

61, 3u=61, v=4 → 59, 16

a=3705,b=488,c=3737

alpha/2 = 57 / 65
= 211 mod 6829

(1282, 2659i) 1138=1 mod 6829

37*101 = 3737

61, 5u=61, v=6 → 54, 29

a=3685,b=732,c=3757

alpha/2 = 55 / 67
= 1122 mod 6829

(908, 1254i) 569=1 mod 6829

13*17*17 = 3757

61, 7u=61, v=8 → 44, 43

a=3657,b=976,c=3785

alpha/2 = 53 / 69
= 6038 mod 6829

(1256, 2747i) 3414=1 mod 6829

5*757 = 3785

61, 9u=61, v=10

a=3621,b=1220,c=3821

alpha/2 = 51 / 71
= 674 mod 6829

(45, 3141i) 3414=1 mod 6829

3821

61, 11u=61, v=12 → 56, 27

a=3577,b=1464,c=3865

alpha/2 = 49 / 73
= 5520 mod 6829

(3070, 3179i) 3414=1 mod 6829

5*773 = 3865

61, 13u=61, v=14

a=3525,b=1708,c=3917

alpha/2 = 47 / 75
= 638 mod 6829

(1641, 2759i) 1707=1 mod 6829

3917

61, 15u=61, v=16 → 56, 29

a=3465,b=1952,c=3977

alpha/2 = 45 / 77
= 4435 mod 6829

(267, 2729i) 3414=1 mod 6829

41*97 = 3977

61, 17u=61, v=18 → 51, 38

a=3397,b=2196,c=4045

alpha/2 = 43 / 79
= 6138 mod 6829

(323, 1473i) 3414=1 mod 6829

5*809 = 4045

61, 19u=61, v=20 → 64, 5

a=3321,b=2440,c=4121

alpha/2 = 41 / 81
= 2867 mod 6829

(2745, 2906i) 1707=1 mod 6829

13*317 = 4121

61, 21u=61, v=22 → 62, 19

a=3237,b=2684,c=4205

alpha/2 = 39 / 83
= 3127 mod 6829

(1219, 1896i) 3414=1 mod 6829

5*29*29 = 4205

61, 23u=61, v=24

a=3145,b=2928,c=4297

alpha/2 = 37 / 85
= 5785 mod 6829

(2267, 2914i) 3414=1 mod 6829

4297

61, 25u=61, v=26

a=3045,b=3172,c=4397

alpha/2 = 35 / 87
= 5495 mod 6829

(35, 2447i) 3414=1 mod 6829

4397

61, 27u=61, v=28 → 56, 37 → 67, 4

a=2937,b=3416,c=4505

alpha/2 = 33 / 89
= 4374 mod 6829

(989, 3128i) 1707=1 mod 6829

5*17*53 = 4505

61, 29u=61, v=30

a=2821,b=3660,c=4621

alpha/2 = 31 / 91
= 1126 mod 6829

(113, 3190i) 1138=1 mod 6829

4621

61, 31u=61, v=32 → 53, 44 → 68, 11

a=2697,b=3904,c=4745

alpha/2 = 29 / 93
= 5581 mod 6829

(749, 2069i) 569=1 mod 6829

5*13*73 = 4745

61, 33u=61, v=34

a=2565,b=4148,c=4877

alpha/2 = 27 / 95
= 2660 mod 6829

(422, 2563i) 3414=1 mod 6829

4877

61, 35u=61, v=36 → 69, 16

a=2425,b=4392,c=5017

alpha/2 = 25 / 97
= 4858 mod 6829

(319, 1490i) 3414=1 mod 6829

29*173 = 5017

61, 37u=61, v=38 → 67, 26

a=2277,b=4636,c=5165

alpha/2 = 23 / 99
= 4208 mod 6829

(2000, 2673i) 3414=1 mod 6829

5*1033 = 5165

61, 39u=61, v=40 → 64, 35

a=2121,b=4880,c=5321

alpha/2 = 21 / 101
= 5815 mod 6829

(601, 619i) 1707=1 mod 6829

17*313 = 5321

61, 41u=61, v=42 → 74, 3

a=1957,b=5124,c=5485

alpha/2 = 19 / 103
= 1061 mod 6829

(423, 850i) 3414=1 mod 6829

5*1097 = 5485

61, 43u=61, v=44

a=1785,b=5368,c=5657

alpha/2 = 17 / 105
= 1431 mod 6829

(1557, 3244i) 1138=1 mod 6829

5657

61, 45u=61, v=46 → 74, 19

a=1605,b=5612,c=5837

alpha/2 = 15 / 107
= 4723 mod 6829

(2390, 2473i) 1707=1 mod 6829

13*449 = 5837

61, 47u=61, v=48 → 72, 29

a=1417,b=5856,c=6025

alpha/2 = 13 / 109
= 5952 mod 6829

(1726, 2337i) 569=1 mod 6829

5*5*241 = 6025

61, 49u=61, v=50

a=1221,b=6100,c=6221

alpha/2 = 11 / 111
= 2461 mod 6829

(1832, 2956i) 3414=1 mod 6829

6221

61, 51u=61, v=52 → 67, 44

a=1017,b=6344,c=6425

alpha/2 = 9 / 113
= 4170 mod 6829

(82, 489i) 3414=1 mod 6829

5*5*257 = 6425

61, 53u=61, v=54

a=805,b=6588,c=6637

alpha/2 = 7 / 115
= 6354 mod 6829

(885, 3022i) 1707=1 mod 6829

6637

61, 55u=61, v=56

a=585,b=6832,c=6857

alpha/2 = 5 / 117
= 6187 mod 6829

(223, 244i) 569=1 mod 6829

6857

61, 57u=61, v=58 → 83, 14

a=357,b=7076,c=7085

alpha/2 = 3 / 119
= 6083 mod 6829

(2055, 2749i) 3414=1 mod 6829

5*13*109 = 7085

61, 59u=61, v=60 f(u,60)=u2+3600;↓

a=121,b=7320,c=7321

alpha/2 = 1 / 121
= 5926 mod 6829

(348, 1013i) 1138=1 mod 6829

7321

u=62, v=1 f(62,v)=3844+v2;→ → 49, 38

a=3843,b=124,c=3845

alpha/2 = 61 / 63
= 5746 mod 6829

(1157, 3323i) 1138=1 mod 6829

5*769 = 3845

62, 2u=62, v=3

a=3835,b=372,c=3853

alpha/2 = 59 / 65
= 3573 mod 6829

(2561, 2849i) 1707=1 mod 6829

3853

62, 4u=62, v=5 → 50, 37

a=3819,b=620,c=3869

alpha/2 = 57 / 67
= 6626 mod 6829

(2606, 3184i) 1707=1 mod 6829

53*73 = 3869

62, 6u=62, v=7 → 58, 23

a=3795,b=868,c=3893

alpha/2 = 55 / 69
= 6137 mod 6829

(934, 2428i) 569=1 mod 6829

17*229 = 3893

62, 8u=62, v=9 → 57, 26

a=3763,b=1116,c=3925

alpha/2 = 53 / 71
= 5387 mod 6829

(2399, 2442i) 1707=1 mod 6829

5*5*157 = 3925

62, 10u=62, v=11 → 46, 43

a=3723,b=1364,c=3965

alpha/2 = 51 / 73
= 4491 mod 6829

(1764, 1854i) 1138=1 mod 6829

5*13*61 = 3965

62, 12u=62, v=13

a=3675,b=1612,c=4013

alpha/2 = 49 / 75
= 4007 mod 6829

(2390, 2473i) 1707=1 mod 6829

4013

62, 14u=62, v=15 → 63, 10

a=3619,b=1860,c=4069

alpha/2 = 47 / 77
= 1597 mod 6829

(2003, 2820i) 1707=1 mod 6829

13*313 = 4069

62, 16u=62, v=17

a=3555,b=2108,c=4133

alpha/2 = 45 / 79
= 865 mod 6829

(936, 3010i) 1707=1 mod 6829

4133

62, 18u=62, v=19 → 61, 22

a=3483,b=2356,c=4205

alpha/2 = 43 / 81
= 675 mod 6829

(1342, 1732i) 3414=1 mod 6829

5*29*29 = 4205

62, 20u=62, v=21 → 54, 37

a=3403,b=2604,c=4285

alpha/2 = 41 / 83
= 6089 mod 6829

(404, 1515i) 1138=1 mod 6829

5*857 = 4285

62, 22u=62, v=23

a=3315,b=2852,c=4373

alpha/2 = 39 / 85
= 5544 mod 6829

(463, 833i) 1707=1 mod 6829

4373

62, 24u=62, v=25 → 55, 38

a=3219,b=3100,c=4469

alpha/2 = 37 / 87
= 5809 mod 6829

(1677, 2519i) 3414=1 mod 6829

41*109 = 4469

62, 26u=62, v=27 → 53, 42

a=3115,b=3348,c=4573

alpha/2 = 35 / 89
= 1535 mod 6829

(601, 619i) 1707=1 mod 6829

17*269 = 4573

62, 28u=62, v=29 → 67, 14

a=3003,b=3596,c=4685

alpha/2 = 33 / 91
= 4503 mod 6829

(1244, 1951i) 3414=1 mod 6829

5*937 = 4685

62, 3062, 3162, 32u=62, v=33

a=2755,b=4092,c=4933

alpha/2 = 29 / 95
= 6398 mod 6829

(1100, 2898i) 1707=1 mod 6829

4933

62, 34u=62, v=35 → 70, 13

a=2619,b=4340,c=5069

alpha/2 = 27 / 97
= 4154 mod 6829

(274, 2248i) 3414=1 mod 6829

37*137 = 5069

62, 36u=62, v=37 → 58, 43

a=2475,b=4588,c=5213

alpha/2 = 25 / 99
= 4277 mod 6829

(1189, 2251i) 3414=1 mod 6829

13*401 = 5213

62, 38u=62, v=39 → 57, 46 → 73, 6

a=2323,b=4836,c=5365

alpha/2 = 23 / 101
= 6694 mod 6829

(2096, 2970i) 1138=1 mod 6829

5*29*37 = 5365

62, 40u=62, v=41 → 74, 7

a=2163,b=5084,c=5525

alpha/2 = 21 / 103
= 6564 mod 6829

(35, 2447i) 3414=1 mod 6829

5*5*13*17 = 5525

62, 42u=62, v=43

a=1995,b=5332,c=5693

alpha/2 = 19 / 105
= 4813 mod 6829

(885, 3022i) 1707=1 mod 6829

5693

62, 44u=62, v=45

a=1819,b=5580,c=5869

alpha/2 = 17 / 107
= 5808 mod 6829

(421, 635i) 1138=1 mod 6829

5869

62, 46u=62, v=47

a=1635,b=5828,c=6053

alpha/2 = 15 / 109
= 564 mod 6829

(3070, 3179i) 3414=1 mod 6829

6053

62, 48u=62, v=49 → 79, 2

a=1443,b=6076,c=6245

alpha/2 = 13 / 111
= 1046 mod 6829

(669, 3217i) 1707=1 mod 6829

5*1249 = 6245

62, 50u=62, v=51 → 78, 19

a=1243,b=6324,c=6445

alpha/2 = 11 / 113
= 544 mod 6829

(1586, 2331i) 1138=1 mod 6829

5*1289 = 6445

62, 52u=62, v=53

a=1035,b=6572,c=6653

alpha/2 = 9 / 115
= 2316 mod 6829

(2055, 2749i) 3414=1 mod 6829

6653

62, 54u=62, v=55

a=819,b=6820,c=6869

alpha/2 = 7 / 117
= 467 mod 6829

(1557, 3244i) 1138=1 mod 6829

6869

62, 56u=62, v=57 → 73, 42

a=595,b=7068,c=7093

alpha/2 = 5 / 119
= 1033 mod 6829

(442, 958i) 3414=1 mod 6829

41*173 = 7093

62, 58u=62, v=59 → 74, 43

a=363,b=7316,c=7325

alpha/2 = 3 / 121
= 4120 mod 6829

(1722, 3400i) 3414=1 mod 6829

5*5*293 = 7325

62, 60u=62, v=61 f(u,61)=u2+3721;↓ → 86, 13

a=123,b=7564,c=7565

alpha/2 = 1 / 123
= 5441 mod 6829

(2031, 2737i) 3414=1 mod 6829

5*17*89 = 7565

63, 1u=63, v=2 → 47, 42

a=3965,b=252,c=3973

alpha/2 = 61 / 65
= 106 mod 6829

(2611, 3117i) 3414=1 mod 6829

29*137 = 3973

63, 3u=63, v=4 → 48, 41

a=3953,b=504,c=3985

alpha/2 = 59 / 67
= 5301 mod 6829

(825, 2766i) 3414=1 mod 6829

5*797 = 3985

63, 563, 663, 7u=63, v=8 → 57, 28

a=3905,b=1008,c=4033

alpha/2 = 55 / 71
= 3271 mod 6829

(1015, 1172i) 1707=1 mod 6829

37*109 = 4033

63, 9u=63, v=10 → 62, 15

a=3869,b=1260,c=4069

alpha/2 = 53 / 73
= 3462 mod 6829

(148, 3166i) 3414=1 mod 6829

13*313 = 4069

63, 1163, 1263, 1363, 1463, 15u=63, v=16 → 56, 33

a=3713,b=2016,c=4225

alpha/2 = 47 / 79
= 2421 mod 6829

(2309, 2863i) 1707=1 mod 6829

5*5*13*13 = 4225

63, 1763, 1863, 19u=63, v=20 → 65, 12

a=3569,b=2520,c=4369

alpha/2 = 43 / 83
= 2222 mod 6829

(887, 2666i) 1707=1 mod 6829

17*257 = 4369

63, 21u=63, v=22 → 58, 33

a=3485,b=2772,c=4453

alpha/2 = 41 / 85
= 5303 mod 6829

(1137, 2022i) 569=1 mod 6829

61*73 = 4453

63, 2363, 2463, 25u=63, v=26 → 66, 17

a=3293,b=3276,c=4645

alpha/2 = 37 / 89
= 5525 mod 6829

(652, 3413i) 3414=1 mod 6829

5*929 = 4645

63, 2763, 2863, 2963, 3063, 31u=63, v=32

a=2945,b=4032,c=4993

alpha/2 = 31 / 95
= 3307 mod 6829

(270, 1813i) 1707=1 mod 6829

4993

63, 33u=63, v=34 → 54, 47

a=2813,b=4284,c=5125

alpha/2 = 29 / 97
= 3450 mod 6829

(1761, 2359i) 1707=1 mod 6829

5*5*5*41 = 5125

63, 3563, 3663, 37u=63, v=38

a=2525,b=4788,c=5413

alpha/2 = 25 / 101
= 744 mod 6829

(177, 1193i) 3414=1 mod 6829

5413

63, 39u=63, v=40

a=2369,b=5040,c=5569

alpha/2 = 23 / 103
= 5238 mod 6829

(4, 2056i) 3414=1 mod 6829

5569

63, 4163, 4263, 43u=63, v=44 → 73, 24

a=2033,b=5544,c=5905

alpha/2 = 19 / 107
= 64 mod 6829

(6, 320i) 3414=1 mod 6829

5*1181 = 5905

63, 45u=63, v=46 → 78, 1

a=1853,b=5796,c=6085

alpha/2 = 17 / 109
= 2005 mod 6829

(1255, 3202i) 3414=1 mod 6829

5*1217 = 6085

63, 4763, 4863, 49u=63, v=50

a=1469,b=6300,c=6469

alpha/2 = 13 / 113
= 3747 mod 6829

(3050, 3397i) 1138=1 mod 6829

6469

63, 51u=63, v=52

a=1265,b=6552,c=6673

alpha/2 = 11 / 115
= 5107 mod 6829

(42, 2312i) 1138=1 mod 6829

6673

63, 5363, 5463, 5563, 5663, 57u=63, v=58

a=605,b=7308,c=7333

alpha/2 = 5 / 121
= 2314 mod 6829

(1722, 3400i) 3414=1 mod 6829

7333

63, 5963, 6063, 61u=63, v=62 f(u,62)=u2+3844;↓ → 82, 33

a=125,b=7812,c=7813

alpha/2 = 1 / 125
= 5791 mod 6829

(2214, 3240i) 3414=1 mod 6829

13*601 = 7813

u=64, v=1 f(64,v)=4096+v2;→ → 56, 31

a=4095,b=128,c=4097

alpha/2 = 63 / 65
= 3468 mod 6829

(6, 320i) 3414=1 mod 6829

17*241 = 4097

64, 2u=64, v=3 → 53, 36

a=4087,b=384,c=4105

alpha/2 = 61 / 67
= 3976 mod 6829

(2106, 2874i) 1138=1 mod 6829

5*821 = 4105

64, 4u=64, v=5 → 61, 20

a=4071,b=640,c=4121

alpha/2 = 59 / 69
= 6335 mod 6829

(3242, 3268i) 1707=1 mod 6829

13*317 = 4121

64, 6u=64, v=7 → 47, 44

a=4047,b=896,c=4145

alpha/2 = 57 / 71
= 1155 mod 6829

(1588, 2813i) 1138=1 mod 6829

5*829 = 4145

64, 8u=64, v=9

a=4015,b=1152,c=4177

alpha/2 = 55 / 73
= 2433 mod 6829

(756, 2348i) 3414=1 mod 6829

4177

64, 10u=64, v=11

a=3975,b=1408,c=4217

alpha/2 = 53 / 75
= 3916 mod 6829

(707, 2866i) 1707=1 mod 6829

4217

64, 12u=64, v=13 → 59, 28

a=3927,b=1664,c=4265

alpha/2 = 51 / 77
= 2750 mod 6829

(164, 287i) 3414=1 mod 6829

5*853 = 4265

64, 14u=64, v=15 → 55, 36

a=3871,b=1920,c=4321

alpha/2 = 49 / 79
= 3977 mod 6829

(734, 3136i) 1138=1 mod 6829

29*149 = 4321

64, 16u=64, v=17 → 52, 41

a=3807,b=2176,c=4385

alpha/2 = 47 / 81
= 3120 mod 6829

(1968, 2231i) 3414=1 mod 6829

5*877 = 4385

64, 18u=64, v=19

a=3735,b=2432,c=4457

alpha/2 = 45 / 83
= 5184 mod 6829

(736, 3197i) 3414=1 mod 6829

4457

64, 20u=64, v=21 → 51, 44

a=3655,b=2688,c=4537

alpha/2 = 43 / 85
= 5062 mod 6829

(88, 1572i) 569=1 mod 6829

13*349 = 4537

64, 22u=64, v=23 → 68, 1

a=3567,b=2944,c=4625

alpha/2 = 41 / 87
= 6437 mod 6829

(274, 2248i) 3414=1 mod 6829

5*5*5*37 = 4625

64, 24u=64, v=25

a=3471,b=3200,c=4721

alpha/2 = 39 / 89
= 2686 mod 6829

(1832, 2956i) 3414=1 mod 6829

4721

64, 26u=64, v=27 → 69, 8

a=3367,b=3456,c=4825

alpha/2 = 37 / 91
= 4428 mod 6829

(656, 1985i) 1707=1 mod 6829

5*5*193 = 4825

64, 28u=64, v=29

a=3255,b=3712,c=4937

alpha/2 = 35 / 93
= 2497 mod 6829

(1886, 2669i) 1707=1 mod 6829

4937

64, 30u=64, v=31 → 71, 4

a=3135,b=3968,c=5057

alpha/2 = 33 / 95
= 216 mod 6829

(3050, 3397i) 1138=1 mod 6829

13*389 = 5057

64, 32u=64, v=33 → 57, 44 → 72, 1

a=3007,b=4224,c=5185

alpha/2 = 31 / 97
= 2746 mod 6829

(1518, 2739i) 3414=1 mod 6829

5*17*61 = 5185

64, 34u=64, v=35 → 61, 40

a=2871,b=4480,c=5321

alpha/2 = 29 / 99
= 4415 mod 6829

(1968, 2231i) 3414=1 mod 6829

17*313 = 5321

64, 36u=64, v=37 → 68, 29

a=2727,b=4736,c=5465

alpha/2 = 27 / 101
= 1623 mod 6829

(404, 1515i) 1138=1 mod 6829

5*1093 = 5465

64, 38u=64, v=39 → 71, 24

a=2575,b=4992,c=5617

alpha/2 = 25 / 103
= 3912 mod 6829

(443, 1551i) 1138=1 mod 6829

41*137 = 5617

64, 40u=64, v=41 → 76, 1

a=2415,b=5248,c=5777

alpha/2 = 23 / 105
= 4748 mod 6829

(606, 2280i) 1138=1 mod 6829

53*109 = 5777

64, 42u=64, v=43 → 56, 53 → 77, 4

a=2247,b=5504,c=5945

alpha/2 = 21 / 107
= 1149 mod 6829

(1786, 2266i) 1707=1 mod 6829

5*29*41 = 5945

64, 44u=64, v=45

a=2071,b=5760,c=6121

alpha/2 = 19 / 109
= 3446 mod 6829

(2611, 3117i) 3414=1 mod 6829

6121

64, 46u=64, v=47 → 79, 8

a=1887,b=6016,c=6305

alpha/2 = 17 / 111
= 5045 mod 6829

(220, 1443i) 1707=1 mod 6829

5*13*97 = 6305

64, 48u=64, v=49 → 79, 16

a=1695,b=6272,c=6497

alpha/2 = 15 / 113
= 121 mod 6829

(348, 1013i) 1138=1 mod 6829

73*89 = 6497

64, 50u=64, v=51 → 69, 44

a=1495,b=6528,c=6697

alpha/2 = 13 / 115
= 1069 mod 6829

(270, 1813i) 1707=1 mod 6829

37*181 = 6697

64, 52u=64, v=53 → 83, 4

a=1287,b=6784,c=6905

alpha/2 = 11 / 117
= 2685 mod 6829

(989, 3128i) 1707=1 mod 6829

5*1381 = 6905

64, 54u=64, v=55

a=1071,b=7040,c=7121

alpha/2 = 9 / 119
= 4591 mod 6829

(2031, 2737i) 3414=1 mod 6829

7121

64, 56u=64, v=57 → 84, 17

a=847,b=7296,c=7345

alpha/2 = 7 / 121
= 508 mod 6829

(91, 1574i) 1707=1 mod 6829

5*13*113 = 7345

64, 58u=64, v=59

a=615,b=7552,c=7577

alpha/2 = 5 / 123
= 6718 mod 6829

(2055, 2749i) 3414=1 mod 6829

7577

64, 60u=64, v=61

a=375,b=7808,c=7817

alpha/2 = 3 / 125
= 3715 mod 6829

(2385, 3061i) 1138=1 mod 6829

7817

64, 62u=64, v=63 f(u,63)=u2+3969;↓ → 89, 12

a=127,b=8064,c=8065

alpha/2 = 1 / 127
= 4947 mod 6829

(1651, 1895i) 1707=1 mod 6829

5*1613 = 8065

65, 1u=65, v=2

a=4221,b=260,c=4229

alpha/2 = 63 / 67
= 2651 mod 6829

(683, 1703i) 569=1 mod 6829

4229

65, 3u=65, v=4

a=4209,b=520,c=4241

alpha/2 = 61 / 69
= 6434 mod 6829

(191, 327i) 1138=1 mod 6829

4241

65, 5u=65, v=6

a=4189,b=780,c=4261

alpha/2 = 59 / 71
= 5868 mod 6829

(1786, 2266i) 1707=1 mod 6829

4261

65, 7u=65, v=8

a=4161,b=1040,c=4289

alpha/2 = 57 / 73
= 1404 mod 6829

(2258, 2980i) 1138=1 mod 6829

4289

65, 965, 1065, 11u=65, v=12 → 63, 20

a=4081,b=1560,c=4369

alpha/2 = 53 / 77
= 6741 mod 6829

(865, 1000i) 569=1 mod 6829

17*257 = 4369

65, 13u=65, v=14

a=4029,b=1820,c=4421

alpha/2 = 51 / 79
= 5533 mod 6829

(2701, 2780i) 3414=1 mod 6829

4421

65, 15u=65, v=16

a=3969,b=2080,c=4481

alpha/2 = 49 / 81
= 928 mod 6829

(2512, 3375i) 3414=1 mod 6829

4481

65, 17u=65, v=18

a=3901,b=2340,c=4549

alpha/2 = 47 / 83
= 1317 mod 6829

(1259, 2661i) 1138=1 mod 6829

4549

65, 1965, 2065, 21u=65, v=22 → 50, 47

a=3741,b=2860,c=4709

alpha/2 = 43 / 87
= 6751 mod 6829

(3194, 3287i) 1707=1 mod 6829

17*277 = 4709

65, 23u=65, v=24

a=3649,b=3120,c=4801

alpha/2 = 41 / 89
= 6676 mod 6829

(1133, 2625i) 569=1 mod 6829

4801

65, 2565, 2665, 27u=65, v=28

a=3441,b=3640,c=5009

alpha/2 = 37 / 93
= 1469 mod 6829

(2, 1469i) 3414=1 mod 6829

5009

65, 2965, 3065, 31u=65, v=32 → 68, 25

a=3201,b=4160,c=5249

alpha/2 = 33 / 97
= 2042 mod 6829

(914, 2072i) 1138=1 mod 6829

29*181 = 5249

65, 33u=65, v=34

a=3069,b=4420,c=5381

alpha/2 = 31 / 99
= 4484 mod 6829

(129, 2455i) 1707=1 mod 6829

5381

65, 35u=65, v=36

a=2929,b=4680,c=5521

alpha/2 = 29 / 101
= 2502 mod 6829

(1006, 1438i) 3414=1 mod 6829

5521

65, 37u=65, v=38

a=2781,b=4940,c=5669

alpha/2 = 27 / 103
= 2586 mod 6829

(122, 1228i) 1138=1 mod 6829

5669

65, 3965, 4065, 41u=65, v=42 → 70, 33

a=2461,b=5460,c=5989

alpha/2 = 23 / 107
= 2234 mod 6829

(1371, 3408i) 3414=1 mod 6829

53*113 = 5989

65, 43u=65, v=44 → 56, 55

a=2289,b=5720,c=6161

alpha/2 = 21 / 109
= 4887 mod 6829

(1588, 2813i) 1138=1 mod 6829

61*101 = 6161

65, 45u=65, v=46 → 79, 10

a=2109,b=5980,c=6341

alpha/2 = 19 / 111
= 3630 mod 6829

(2867, 3013i) 1707=1 mod 6829

17*373 = 6341

65, 47u=65, v=48

a=1921,b=6240,c=6529

alpha/2 = 17 / 113
= 3324 mod 6829

(1109, 1345i) 1707=1 mod 6829

6529

65, 4965, 5065, 5165, 5265, 53u=65, v=54 → 79, 30

a=1309,b=7020,c=7141

alpha/2 = 11 / 119
= 6370 mod 6829

(543, 3392i) 3414=1 mod 6829

37*193 = 7141

65, 55u=65, v=56 → 80, 31

a=1089,b=7280,c=7361

alpha/2 = 9 / 121
= 5531 mod 6829

(1424, 3224i) 1707=1 mod 6829

17*433 = 7361

65, 57u=65, v=58

a=861,b=7540,c=7589

alpha/2 = 7 / 123
= 3942 mod 6829

(1158, 3065i) 1707=1 mod 6829

7589

65, 5965, 6065, 61u=65, v=62

a=381,b=8060,c=8069

alpha/2 = 3 / 127
= 1183 mod 6829

(1371, 3408i) 3414=1 mod 6829

8069

65, 63u=65, v=64 f(u,64)=u2+4096;↓ → 89, 20

a=129,b=8320,c=8321

alpha/2 = 1 / 129
= 5982 mod 6829

(856, 1159i) 1707=1 mod 6829

53*157 = 8321

u=66, v=1 f(66,v)=4356+v2;→

a=4355,b=132,c=4357

alpha/2 = 65 / 67
= 1326 mod 6829

(232, 1653i) 1138=1 mod 6829

4357

66, 266, 366, 4u=66, v=5 → 59, 30

a=4331,b=660,c=4381

alpha/2 = 61 / 71
= 3752 mod 6829

(598, 3046i) 3414=1 mod 6829

13*337 = 4381

66, 6u=66, v=7 → 57, 34

a=4307,b=924,c=4405

alpha/2 = 59 / 73
= 375 mod 6829

(942, 1859i) 569=1 mod 6829

5*881 = 4405

66, 866, 966, 1066, 1166, 12u=66, v=13 → 67, 6

a=4187,b=1716,c=4525

alpha/2 = 53 / 79
= 260 mod 6829

(645, 3024i) 1707=1 mod 6829

5*5*181 = 4525

66, 1466, 1566, 16u=66, v=17 → 63, 26

a=4067,b=2244,c=4645

alpha/2 = 49 / 83
= 4279 mod 6829

(1731, 2515i) 3414=1 mod 6829

5*929 = 4645

66, 18u=66, v=19 → 51, 46

a=3995,b=2508,c=4717

alpha/2 = 47 / 85
= 4580 mod 6829

(428, 2566i) 3414=1 mod 6829

53*89 = 4717

66, 2066, 2166, 22u=66, v=23 → 58, 39

a=3827,b=3036,c=4885

alpha/2 = 43 / 89
= 3837 mod 6829

(1765, 2064i) 1138=1 mod 6829

5*977 = 4885

66, 24u=66, v=25 → 70, 9

a=3731,b=3300,c=4981

alpha/2 = 41 / 91
= 4353 mod 6829

(486, 2921i) 1707=1 mod 6829

17*293 = 4981

66, 2666, 2766, 28u=66, v=29

a=3515,b=3828,c=5197

alpha/2 = 37 / 95
= 863 mod 6829

(550, 2517i) 1138=1 mod 6829

5197

66, 30u=66, v=31 → 54, 49

a=3395,b=4092,c=5317

alpha/2 = 35 / 97
= 1338 mod 6829

(1294, 3195i) 1138=1 mod 6829

13*409 = 5317

66, 3266, 3366, 34u=66, v=35

a=3131,b=4620,c=5581

alpha/2 = 31 / 101
= 3381 mod 6829

(386, 726i) 3414=1 mod 6829

5581

66, 36u=66, v=37 → 54, 53

a=2987,b=4884,c=5725

alpha/2 = 29 / 103
= 1260 mod 6829

(1109, 1345i) 1707=1 mod 6829

5*5*229 = 5725

66, 3866, 3966, 40u=66, v=41

a=2675,b=5412,c=6037

alpha/2 = 25 / 107
= 3319 mod 6829

(12, 1145i) 3414=1 mod 6829

6037

66, 42u=66, v=43 → 78, 11

a=2507,b=5676,c=6205

alpha/2 = 23 / 109
= 6328 mod 6829

(773, 1979i) 569=1 mod 6829

5*17*73 = 6205

66, 4466, 4566, 46u=66, v=47 → 81, 2

a=2147,b=6204,c=6565

alpha/2 = 19 / 113
= 6527 mod 6829

(34, 3391i) 3414=1 mod 6829

5*13*101 = 6565

66, 48u=66, v=49 → 81, 14

a=1955,b=6468,c=6757

alpha/2 = 17 / 115
= 6651 mod 6829

(122, 1228i) 1138=1 mod 6829

29*233 = 6757

66, 5066, 5166, 52u=66, v=53 → 82, 21

a=1547,b=6996,c=7165

alpha/2 = 13 / 119
= 1320 mod 6829

(2414, 2662i) 569=1 mod 6829

5*1433 = 7165

66, 5466, 5566, 5666, 5766, 58u=66, v=59 → 86, 21

a=875,b=7788,c=7837

alpha/2 = 7 / 125
= 6392 mod 6829

(902, 1471i) 1138=1 mod 6829

17*461 = 7837

66, 60u=66, v=61 → 74, 51

a=635,b=8052,c=8077

alpha/2 = 5 / 127
= 4248 mod 6829

(388, 2436i) 1138=1 mod 6829

41*197 = 8077

66, 6266, 6366, 64u=66, v=65 f(u,65)=u2+4225;↓

a=131,b=8580,c=8581

alpha/2 = 1 / 131
= 4014 mod 6829

(1033, 1258i) 1707=1 mod 6829

8581

67, 1u=67, v=2

a=4485,b=268,c=4493

alpha/2 = 65 / 69
= 6632 mod 6829

(386, 726i) 3414=1 mod 6829

4493

67, 3u=67, v=4 → 56, 37

a=4473,b=536,c=4505

alpha/2 = 63 / 71
= 1636 mod 6829

(59, 718i) 3414=1 mod 6829

5*17*53 = 4505

67, 5u=67, v=6 → 66, 13

a=4453,b=804,c=4525

alpha/2 = 61 / 73
= 6175 mod 6829

(605, 1066i) 3414=1 mod 6829

5*5*181 = 4525

67, 7u=67, v=8 → 52, 43

a=4425,b=1072,c=4553

alpha/2 = 59 / 75
= 365 mod 6829

(383, 3216i) 1707=1 mod 6829

29*157 = 4553

67, 9u=67, v=10 → 58, 35

a=4389,b=1340,c=4589

alpha/2 = 57 / 77
= 1065 mod 6829

(914, 2072i) 1138=1 mod 6829

13*353 = 4589

67, 11u=67, v=12 → 68, 3

a=4345,b=1608,c=4633

alpha/2 = 55 / 79
= 1816 mod 6829

(150, 2576i) 3414=1 mod 6829

41*113 = 4633

67, 13u=67, v=14 → 62, 29

a=4293,b=1876,c=4685

alpha/2 = 53 / 81
= 3373 mod 6829

(432, 2560i) 3414=1 mod 6829

5*937 = 4685

67, 15u=67, v=16 → 53, 44 → 68, 11

a=4233,b=2144,c=4745

alpha/2 = 51 / 83
= 412 mod 6829

(1100, 2898i) 1707=1 mod 6829

5*13*73 = 4745

67, 17u=67, v=18

a=4165,b=2412,c=4813

alpha/2 = 49 / 85
= 4339 mod 6829

(733, 1828i) 3414=1 mod 6829

4813

67, 19u=67, v=20

a=4089,b=2680,c=4889

alpha/2 = 47 / 87
= 550 mod 6829

(421, 635i) 1138=1 mod 6829

4889

67, 21u=67, v=22

a=4005,b=2948,c=4973

alpha/2 = 45 / 89
= 998 mod 6829

(72, 2265i) 1707=1 mod 6829

4973

67, 23u=67, v=24 → 68, 21

a=3913,b=3216,c=5065

alpha/2 = 43 / 91
= 901 mod 6829

(184, 2789i) 3414=1 mod 6829

5*1013 = 5065

67, 25u=67, v=26 → 61, 38

a=3813,b=3484,c=5165

alpha/2 = 41 / 93
= 6242 mod 6829

(425, 3199i) 3414=1 mod 6829

5*1033 = 5165

67, 27u=67, v=28

a=3705,b=3752,c=5273

alpha/2 = 39 / 95
= 4601 mod 6829

(476, 2034i) 1707=1 mod 6829

5273

67, 29u=67, v=30 → 58, 45

a=3589,b=4020,c=5389

alpha/2 = 37 / 97
= 634 mod 6829

(1705, 1989i) 3414=1 mod 6829

17*317 = 5389

67, 31u=67, v=32 → 53, 52

a=3465,b=4288,c=5513

alpha/2 = 35 / 99
= 4622 mod 6829

(2867, 3013i) 1707=1 mod 6829

37*149 = 5513

67, 33u=67, v=34 → 74, 13

a=3333,b=4556,c=5645

alpha/2 = 33 / 101
= 4260 mod 6829

(2258, 2980i) 1138=1 mod 6829

5*1129 = 5645

67, 35u=67, v=36 → 59, 48 → 76, 3

a=3193,b=4824,c=5785

alpha/2 = 31 / 103
= 6763 mod 6829

(232, 1653i) 1138=1 mod 6829

5*13*89 = 5785

67, 37u=67, v=38 → 77, 2

a=3045,b=5092,c=5933

alpha/2 = 29 / 105
= 1236 mod 6829

(1764, 1854i) 1138=1 mod 6829

17*349 = 5933

67, 39u=67, v=40

a=2889,b=5360,c=6089

alpha/2 = 27 / 107
= 4404 mod 6829

(1851, 2023i) 1707=1 mod 6829

6089

67, 41u=67, v=42 → 77, 18

a=2725,b=5628,c=6253

alpha/2 = 25 / 109
= 940 mod 6829

(2568, 3282i) 569=1 mod 6829

13*13*37 = 6253

67, 43u=67, v=44 → 61, 52

a=2553,b=5896,c=6425

alpha/2 = 23 / 111
= 800 mod 6829

(932, 2039i) 1707=1 mod 6829

5*5*257 = 6425

67, 45u=67, v=46 → 77, 26

a=2373,b=6164,c=6605

alpha/2 = 21 / 113
= 2901 mod 6829

(224, 1070i) 3414=1 mod 6829

5*1321 = 6605

67, 47u=67, v=48

a=2185,b=6432,c=6793

alpha/2 = 19 / 115
= 2613 mod 6829

(129, 2455i) 1707=1 mod 6829

6793

67, 49u=67, v=50 → 83, 10

a=1989,b=6700,c=6989

alpha/2 = 17 / 117
= 6012 mod 6829

(1677, 2519i) 3414=1 mod 6829

29*241 = 6989

67, 51u=67, v=52

a=1785,b=6968,c=7193

alpha/2 = 15 / 119
= 3099 mod 6829

(1932, 1965i) 3414=1 mod 6829

7193

67, 53u=67, v=54 → 86, 3

a=1573,b=7236,c=7405

alpha/2 = 13 / 121
= 1919 mod 6829

(1293, 2570i) 3414=1 mod 6829

5*1481 = 7405

67, 55u=67, v=56 → 76, 43

a=1353,b=7504,c=7625

alpha/2 = 11 / 123
= 5219 mod 6829

(1606, 2530i) 1707=1 mod 6829

5*5*5*61 = 7625

67, 57u=67, v=58

a=1125,b=7772,c=7853

alpha/2 = 9 / 125
= 4316 mod 6829

(688, 1208i) 1707=1 mod 6829

7853

67, 59u=67, v=60

a=889,b=8040,c=8089

alpha/2 = 7 / 127
= 484 mod 6829

(644, 2922i) 1138=1 mod 6829

8089

67, 61u=67, v=62 → 83, 38

a=645,b=8308,c=8333

alpha/2 = 5 / 129
= 2594 mod 6829

(904, 2628i) 3414=1 mod 6829

13*641 = 8333

67, 63u=67, v=64 → 92, 11

a=393,b=8576,c=8585

alpha/2 = 3 / 131
= 5213 mod 6829

(97, 316i) 1707=1 mod 6829

5*17*101 = 8585

67, 65u=67, v=66 f(u,66)=u2+4356;↓ → 94, 3

a=133,b=8844,c=8845

alpha/2 = 1 / 133
= 1335 mod 6829

(735, 2150i) 3414=1 mod 6829

5*29*61 = 8845

u=68, v=1 f(68,v)=4624+v2;→ → 64, 23

a=4623,b=136,c=4625

alpha/2 = 67 / 69
= 6731 mod 6829

(124, 1604i) 3414=1 mod 6829

5*5*5*37 = 4625

68, 2u=68, v=3 → 67, 12

a=4615,b=408,c=4633

alpha/2 = 65 / 71
= 6349 mod 6829

(2296, 2612i) 569=1 mod 6829

41*113 = 4633

68, 4u=68, v=5

a=4599,b=680,c=4649

alpha/2 = 63 / 73
= 5146 mod 6829

(95, 2819i) 1707=1 mod 6829

4649

68, 6u=68, v=7

a=4575,b=952,c=4673

alpha/2 = 61 / 75
= 3734 mod 6829

(443, 1551i) 1138=1 mod 6829

4673

68, 8u=68, v=9 → 49, 48

a=4543,b=1224,c=4705

alpha/2 = 59 / 77
= 5056 mod 6829

(1330, 2084i) 3414=1 mod 6829

5*941 = 4705

68, 10u=68, v=11 → 53, 44

a=4503,b=1496,c=4745

alpha/2 = 57 / 79
= 3372 mod 6829

(2391, 2596i) 1138=1 mod 6829

5*13*73 = 4745

68, 12u=68, v=13

a=4455,b=1768,c=4793

alpha/2 = 55 / 81
= 1181 mod 6829

(2872, 3362i) 1707=1 mod 6829

4793

68, 14u=68, v=15 → 57, 40

a=4399,b=2040,c=4849

alpha/2 = 53 / 83
= 3374 mod 6829

(930, 3310i) 1707=1 mod 6829

13*373 = 4849

68, 1668, 1768, 18u=68, v=19 → 56, 43

a=4263,b=2584,c=4985

alpha/2 = 49 / 87
= 864 mod 6829

(231, 1542i) 3414=1 mod 6829

5*997 = 4985

68, 20u=68, v=21 → 67, 24

a=4183,b=2856,c=5065

alpha/2 = 47 / 89
= 4988 mod 6829

(652, 3413i) 3414=1 mod 6829

5*1013 = 5065

68, 22u=68, v=23

a=4095,b=3128,c=5153

alpha/2 = 45 / 91
= 4278 mod 6829

(1302, 1770i) 1138=1 mod 6829

5153

68, 24u=68, v=25 → 65, 32

a=3999,b=3400,c=5249

alpha/2 = 43 / 93
= 5214 mod 6829

(823, 2509i) 3414=1 mod 6829

29*181 = 5249

68, 26u=68, v=27 → 72, 13

a=3895,b=3672,c=5353

alpha/2 = 41 / 95
= 1510 mod 6829

(1330, 2084i) 3414=1 mod 6829

53*101 = 5353

68, 28u=68, v=29 → 64, 37

a=3783,b=3944,c=5465

alpha/2 = 39 / 97
= 6759 mod 6829

(844, 2451i) 1138=1 mod 6829

5*1093 = 5465

68, 30u=68, v=31 → 73, 16

a=3663,b=4216,c=5585

alpha/2 = 37 / 99
= 4691 mod 6829

(2309, 2863i) 1707=1 mod 6829

5*1117 = 5585

68, 32u=68, v=33 → 72, 23

a=3535,b=4488,c=5713

alpha/2 = 35 / 101
= 5139 mod 6829

(1024, 2316i) 1138=1 mod 6829

29*197 = 5713

68, 34u=68, v=35

a=3399,b=4760,c=5849

alpha/2 = 33 / 103
= 5437 mod 6829

(1956, 3411i) 3414=1 mod 6829

5849

68, 36u=68, v=37 → 77, 8

a=3255,b=5032,c=5993

alpha/2 = 31 / 105
= 4618 mod 6829

(1123, 2804i) 3414=1 mod 6829

13*461 = 5993

68, 38u=68, v=39 → 72, 31

a=3103,b=5304,c=6145

alpha/2 = 29 / 107
= 5489 mod 6829

(904, 2628i) 3414=1 mod 6829

5*1229 = 6145

68, 40u=68, v=41 → 64, 47 → 79, 8

a=2943,b=5576,c=6305

alpha/2 = 27 / 109
= 2381 mod 6829

(242, 2565i) 1138=1 mod 6829

5*13*97 = 6305

68, 42u=68, v=43

a=2775,b=5848,c=6473

alpha/2 = 25 / 111
= 6214 mod 6829

(707, 2866i) 1707=1 mod 6829

6473

68, 44u=68, v=45 → 75, 32

a=2599,b=6120,c=6649

alpha/2 = 23 / 113
= 6104 mod 6829

(34, 3391i) 3414=1 mod 6829

61*109 = 6649

68, 46u=68, v=47

a=2415,b=6392,c=6833

alpha/2 = 21 / 115
= 5404 mod 6829

(1598, 2311i) 3414=1 mod 6829

6833

68, 48u=68, v=49 → 79, 28

a=2223,b=6664,c=7025

alpha/2 = 19 / 117
= 292 mod 6829

(34, 3391i) 3414=1 mod 6829

5*5*281 = 7025

68, 5068, 5168, 52u=68, v=53

a=1815,b=7208,c=7433

alpha/2 = 15 / 121
= 113 mod 6829

(2385, 3061i) 1138=1 mod 6829

7433

68, 54u=68, v=55

a=1599,b=7480,c=7649

alpha/2 = 13 / 123
= 2443 mod 6829

(324, 3075i) 3414=1 mod 6829

7649

68, 56u=68, v=57

a=1375,b=7752,c=7873

alpha/2 = 11 / 125
= 2240 mod 6829

(348, 1013i) 1138=1 mod 6829

7873

68, 58u=68, v=59 → 88, 19

a=1143,b=8024,c=8105

alpha/2 = 9 / 127
= 3549 mod 6829

(1462, 2147i) 1707=1 mod 6829

5*1621 = 8105

68, 60u=68, v=61 → 91, 8

a=903,b=8296,c=8345

alpha/2 = 7 / 129
= 900 mod 6829

(2834, 3382i) 3414=1 mod 6829

5*1669 = 8345

68, 62u=68, v=63 → 87, 32

a=655,b=8568,c=8593

alpha/2 = 5 / 131
= 6412 mod 6829

(1956, 3411i) 3414=1 mod 6829

13*661 = 8593

68, 64u=68, v=65

a=399,b=8840,c=8849

alpha/2 = 3 / 133
= 4005 mod 6829

(3012, 3047i) 3414=1 mod 6829

8849

68, 66u=68, v=67 f(u,67)=u2+4489;↓ → 88, 37

a=135,b=9112,c=9113

alpha/2 = 1 / 135
= 2074 mod 6829

(2096, 2970i) 1138=1 mod 6829

13*701 = 9113

69, 1u=69, v=2 → 54, 43

a=4757,b=276,c=4765

alpha/2 = 67 / 71
= 4233 mod 6829

(2660, 2992i) 3414=1 mod 6829

5*953 = 4765

69, 3u=69, v=4 → 59, 36

a=4745,b=552,c=4777

alpha/2 = 65 / 73
= 4117 mod 6829

(1024, 2316i) 1138=1 mod 6829

17*281 = 4777

69, 569, 669, 7u=69, v=8 → 64, 27

a=4697,b=1104,c=4825

alpha/2 = 61 / 77
= 2218 mod 6829

(1037, 1308i) 3414=1 mod 6829

5*5*193 = 4825

69, 9u=69, v=10

a=4661,b=1380,c=4861

alpha/2 = 59 / 79
= 4928 mod 6829

(3138, 3207i) 569=1 mod 6829

4861

69, 1169, 1269, 13u=69, v=14

a=4565,b=1932,c=4957

alpha/2 = 55 / 83
= 6336 mod 6829

(1779, 2934i) 569=1 mod 6829

4957

69, 15u=69, v=16 → 61, 36

a=4505,b=2208,c=5017

alpha/2 = 53 / 85
= 3857 mod 6829

(1765, 2064i) 1138=1 mod 6829

29*173 = 5017

69, 1769, 1869, 19u=69, v=20 → 56, 45

a=4361,b=2760,c=5161

alpha/2 = 49 / 89
= 2149 mod 6829

(1590, 2409i) 3414=1 mod 6829

13*397 = 5161

69, 21u=69, v=22 → 59, 42

a=4277,b=3036,c=5245

alpha/2 = 47 / 91
= 826 mod 6829

(381, 571i) 1707=1 mod 6829

5*1049 = 5245

69, 2369, 2469, 25u=69, v=26

a=4085,b=3588,c=5437

alpha/2 = 43 / 95
= 5248 mod 6829

(645, 3024i) 1707=1 mod 6829

5437

69, 27u=69, v=28 → 72, 19

a=3977,b=3864,c=5545

alpha/2 = 41 / 97
= 6055 mod 6829

(1955, 2869i) 1138=1 mod 6829

5*1109 = 5545

69, 2969, 3069, 31u=69, v=32 → 59, 48 → 76, 3

a=3737,b=4416,c=5785

alpha/2 = 37 / 101
= 6018 mod 6829

(1756, 3144i) 1138=1 mod 6829

5*13*89 = 5785

69, 33u=69, v=34 → 74, 21

a=3605,b=4692,c=5917

alpha/2 = 35 / 103
= 4111 mod 6829

(95, 2819i) 1707=1 mod 6829

61*97 = 5917

69, 3569, 3669, 37u=69, v=38 → 66, 43 → 78, 11

a=3317,b=5244,c=6205

alpha/2 = 31 / 107
= 6574 mod 6829

(1453, 1494i) 3414=1 mod 6829

5*17*73 = 6205

69, 39u=69, v=40

a=3161,b=5520,c=6361

alpha/2 = 29 / 109
= 3822 mod 6829

(284, 362i) 1707=1 mod 6829

6361

69, 4169, 4269, 43u=69, v=44 → 64, 51

a=2825,b=6072,c=6697

alpha/2 = 25 / 113
= 2478 mod 6829

(46, 2246i) 1138=1 mod 6829

37*181 = 6697

69, 4569, 4669, 4769, 4869, 49u=69, v=50 → 85, 6

a=2261,b=6900,c=7261

alpha/2 = 19 / 119
= 6657 mod 6829

(2482, 3151i) 3414=1 mod 6829

53*137 = 7261

69, 51u=69, v=52 → 83, 24

a=2057,b=7176,c=7465

alpha/2 = 17 / 121
= 5136 mod 6829

(437, 2308i) 1138=1 mod 6829

5*1493 = 7465

69, 5369, 5469, 55u=69, v=56 → 84, 29

a=1625,b=7728,c=7897

alpha/2 = 13 / 125
= 164 mod 6829

(928, 2118i) 1707=1 mod 6829

53*149 = 7897

69, 57u=69, v=58 → 86, 27

a=1397,b=8004,c=8125

alpha/2 = 11 / 127
= 6614 mod 6829

(1954, 3326i) 3414=1 mod 6829

5*5*5*5*13 = 8125

69, 5969, 6069, 61u=69, v=62 → 91, 18

a=917,b=8556,c=8605

alpha/2 = 7 / 131
= 782 mod 6829

(212, 1887i) 1707=1 mod 6829

5*1721 = 8605

69, 63u=69, v=64 → 91, 24

a=665,b=8832,c=8857

alpha/2 = 5 / 133
= 6675 mod 6829

(461, 2703i) 1707=1 mod 6829

17*521 = 8857

69, 6569, 6669, 67u=69, v=68 f(u,68)=u2+4624;↓ → 96, 13

a=137,b=9384,c=9385

alpha/2 = 1 / 137
= 6181 mod 6829

(147, 349i) 1138=1 mod 6829

5*1877 = 9385

u=70, v=1 f(70,v)=4900+v2;→ → 50, 49

a=4899,b=140,c=4901

alpha/2 = 69 / 71
= 2117 mod 6829

(844, 2451i) 1138=1 mod 6829

13*13*29 = 4901

70, 2u=70, v=3

a=4891,b=420,c=4909

alpha/2 = 67 / 73
= 3088 mod 6829

(640, 1002i) 569=1 mod 6829

4909

70, 470, 570, 670, 770, 8u=70, v=9 → 66, 25

a=4819,b=1260,c=4981

alpha/2 = 61 / 79
= 6484 mod 6829

(1041, 2793i) 1138=1 mod 6829

17*293 = 4981

70, 10u=70, v=11

a=4779,b=1540,c=5021

alpha/2 = 59 / 81
= 3626 mod 6829

(749, 2069i) 569=1 mod 6829

5021

70, 12u=70, v=13 → 62, 35

a=4731,b=1820,c=5069

alpha/2 = 57 / 83
= 2469 mod 6829

(1093, 1163i) 1138=1 mod 6829

37*137 = 5069

70, 1470, 1570, 16u=70, v=17

a=4611,b=2380,c=5189

alpha/2 = 53 / 87
= 1492 mod 6829

(1914, 2658i) 1707=1 mod 6829

5189

70, 18u=70, v=19

a=4539,b=2660,c=5261

alpha/2 = 51 / 89
= 6139 mod 6829

(1587, 1700i) 1707=1 mod 6829

5261

70, 2070, 2170, 22u=70, v=23 → 73, 10

a=4371,b=3220,c=5429

alpha/2 = 47 / 93
= 3158 mod 6829

(8, 2051i) 1138=1 mod 6829

61*89 = 5429

70, 2470, 2570, 26u=70, v=27 → 75, 2

a=4171,b=3780,c=5629

alpha/2 = 43 / 97
= 5351 mod 6829

(1129, 2387i) 569=1 mod 6829

13*433 = 5629

70, 28u=70, v=29

a=4059,b=4060,c=5741

alpha/2 = 41 / 99
= 4829 mod 6829

(875, 3053i) 1707=1 mod 6829

5741

70, 30u=70, v=31

a=3939,b=4340,c=5861

alpha/2 = 39 / 101
= 68 mod 6829

(124, 1604i) 3414=1 mod 6829

5861

70, 32u=70, v=33 → 65, 42

a=3811,b=4620,c=5989

alpha/2 = 37 / 103
= 2785 mod 6829

(2289, 3409i) 3414=1 mod 6829

53*113 = 5989

70, 3470, 3570, 36u=70, v=37

a=3531,b=5180,c=6269

alpha/2 = 33 / 107
= 830 mod 6829

(1698, 3396i) 1138=1 mod 6829

6269

70, 38u=70, v=39

a=3379,b=5460,c=6421

alpha/2 = 31 / 109
= 5263 mod 6829

(1314, 2196i) 1707=1 mod 6829

6421

70, 40u=70, v=41

a=3219,b=5740,c=6581

alpha/2 = 29 / 111
= 3384 mod 6829

(87, 2684i) 1707=1 mod 6829

6581

70, 42u=70, v=43 → 82, 5

a=3051,b=6020,c=6749

alpha/2 = 27 / 113
= 5681 mod 6829

(1632, 3291i) 3414=1 mod 6829

17*397 = 6749

70, 4470, 4570, 46u=70, v=47

a=2691,b=6580,c=7109

alpha/2 = 23 / 117
= 2510 mod 6829

(34, 3391i) 3414=1 mod 6829

7109

70, 4870, 4970, 50u=70, v=51 → 74, 45

a=2299,b=7140,c=7501

alpha/2 = 19 / 121
= 3330 mod 6829

(843, 2859i) 569=1 mod 6829

13*577 = 7501

70, 52u=70, v=53 → 85, 22

a=2091,b=7420,c=7709

alpha/2 = 17 / 123
= 3720 mod 6829

(1078, 2183i) 3414=1 mod 6829

13*593 = 7709

70, 5470, 5570, 56u=70, v=57 → 90, 7

a=1651,b=7980,c=8149

alpha/2 = 13 / 127
= 2850 mod 6829

(1455, 1546i) 1138=1 mod 6829

29*281 = 8149

70, 58u=70, v=59 → 91, 10

a=1419,b=8260,c=8381

alpha/2 = 11 / 129
= 4341 mod 6829

(2663, 2927i) 1707=1 mod 6829

17*17*29 = 8381

70, 60u=70, v=61 → 86, 35

a=1179,b=8540,c=8621

alpha/2 = 9 / 131
= 1981 mod 6829

(2236, 2343i) 3414=1 mod 6829

37*233 = 8621

70, 6270, 6370, 6470, 6570, 66u=70, v=67 → 83, 50

a=411,b=9380,c=9389

alpha/2 = 3 / 137
= 4885 mod 6829

(2457, 2938i) 1138=1 mod 6829

41*229 = 9389

70, 68u=70, v=69 f(u,69)=u2+4761;↓

a=139,b=9660,c=9661

alpha/2 = 1 / 139
= 2653 mod 6829

(720, 2216i) 569=1 mod 6829

9661

71, 1u=71, v=2 → 58, 41

a=5037,b=284,c=5045

alpha/2 = 69 / 73
= 2059 mod 6829

(1761, 2359i) 1707=1 mod 6829

5*1009 = 5045

71, 3u=71, v=4 → 64, 31

a=5025,b=568,c=5057

alpha/2 = 67 / 75
= 183 mod 6829

(1125, 1188i) 3414=1 mod 6829

13*389 = 5057

71, 5u=71, v=6

a=5005,b=852,c=5077

alpha/2 = 65 / 77
= 3371 mod 6829

(515, 1872i) 3414=1 mod 6829

5077

71, 7u=71, v=8 → 52, 49

a=4977,b=1136,c=5105

alpha/2 = 63 / 79
= 1211 mod 6829

(1189, 2251i) 3414=1 mod 6829

5*1021 = 5105

71, 9u=71, v=10 → 55, 46

a=4941,b=1420,c=5141

alpha/2 = 61 / 81
= 1434 mod 6829

(1587, 1700i) 1707=1 mod 6829

53*97 = 5141

71, 11u=71, v=12 → 57, 44 → 72, 1

a=4897,b=1704,c=5185

alpha/2 = 59 / 83
= 5431 mod 6829

(1893, 3239i) 3414=1 mod 6829

5*17*61 = 5185

71, 13u=71, v=14

a=4845,b=1988,c=5237

alpha/2 = 57 / 85
= 3375 mod 6829

(1543, 2901i) 3414=1 mod 6829

5237

71, 15u=71, v=16

a=4785,b=2272,c=5297

alpha/2 = 55 / 87
= 1806 mod 6829

(982, 2049i) 1138=1 mod 6829

5297

71, 17u=71, v=18 → 57, 46 → 73, 6

a=4717,b=2556,c=5365

alpha/2 = 53 / 89
= 3300 mod 6829

(1009, 2853i) 3414=1 mod 6829

5*29*37 = 5365

71, 19u=71, v=20

a=4641,b=2840,c=5441

alpha/2 = 51 / 91
= 751 mod 6829

(1041, 2793i) 1138=1 mod 6829

5441

71, 21u=71, v=22 → 62, 41 → 74, 7

a=4557,b=3124,c=5525

alpha/2 = 49 / 93
= 2130 mod 6829

(2512, 3375i) 3414=1 mod 6829

5*5*13*17 = 5525

71, 23u=71, v=24 → 64, 39

a=4465,b=3408,c=5617

alpha/2 = 47 / 95
= 5895 mod 6829

(1219, 1896i) 3414=1 mod 6829

41*137 = 5617

71, 25u=71, v=26

a=4365,b=3692,c=5717

alpha/2 = 45 / 97
= 4647 mod 6829

(1446, 2356i) 3414=1 mod 6829

5717

71, 27u=71, v=28 → 76, 7

a=4257,b=3976,c=5825

alpha/2 = 43 / 99
= 4898 mod 6829

(2424, 2880i) 1707=1 mod 6829

5*5*233 = 5825

71, 29u=71, v=30 → 55, 54

a=4141,b=4260,c=5941

alpha/2 = 41 / 101
= 947 mod 6829

(1295, 2856i) 1138=1 mod 6829

13*457 = 5941

71, 31u=71, v=32 → 76, 17

a=4017,b=4544,c=6065

alpha/2 = 39 / 103
= 1459 mod 6829

(1641, 2759i) 1707=1 mod 6829

5*1213 = 6065

71, 33u=71, v=34

a=3885,b=4828,c=6197

alpha/2 = 37 / 105
= 1106 mod 6829

(514, 1678i) 569=1 mod 6829

6197

71, 35u=71, v=36

a=3745,b=5112,c=6337

alpha/2 = 35 / 107
= 1915 mod 6829

(1676, 2005i) 1138=1 mod 6829

6337

71, 37u=71, v=38 → 73, 34

a=3597,b=5396,c=6485

alpha/2 = 33 / 109
= 6704 mod 6829

(2214, 3240i) 3414=1 mod 6829

5*1297 = 6485

71, 39u=71, v=40 → 79, 20

a=3441,b=5680,c=6641

alpha/2 = 31 / 111
= 1969 mod 6829

(902, 1471i) 1138=1 mod 6829

29*229 = 6641

71, 41u=71, v=42 → 82, 9

a=3277,b=5964,c=6805

alpha/2 = 29 / 113
= 2055 mod 6829

(148, 3166i) 3414=1 mod 6829

5*1361 = 6805

71, 43u=71, v=44

a=3105,b=6248,c=6977

alpha/2 = 27 / 115
= 119 mod 6829

(948, 3280i) 1707=1 mod 6829

6977

71, 45u=71, v=46 → 74, 41

a=2925,b=6532,c=7157

alpha/2 = 25 / 117
= 3619 mod 6829

(936, 3010i) 1707=1 mod 6829

17*421 = 7157

71, 47u=71, v=48 → 64, 57 → 84, 17

a=2737,b=6816,c=7345

alpha/2 = 23 / 119
= 3386 mod 6829

(802, 2369i) 569=1 mod 6829

5*13*113 = 7345

71, 49u=71, v=50

a=2541,b=7100,c=7541

alpha/2 = 21 / 121
= 1524 mod 6829

(1563, 2833i) 3414=1 mod 6829

7541

71, 51u=71, v=52 → 88, 1

a=2337,b=7384,c=7745

alpha/2 = 19 / 123
= 944 mod 6829

(648, 2987i) 569=1 mod 6829

5*1549 = 7745

71, 53u=71, v=54 → 89, 6

a=2125,b=7668,c=7957

alpha/2 = 17 / 125
= 2841 mod 6829

(2030, 3276i) 3414=1 mod 6829

73*109 = 7957

71, 55u=71, v=56 → 89, 16

a=1905,b=7952,c=8177

alpha/2 = 15 / 127
= 5915 mod 6829

(2365, 2732i) 1707=1 mod 6829

13*17*37 = 8177

71, 57u=71, v=58 → 89, 22

a=1677,b=8236,c=8405

alpha/2 = 13 / 129
= 2647 mod 6829

(1314, 2196i) 1707=1 mod 6829

5*41*41 = 8405

71, 59u=71, v=60

a=1441,b=8520,c=8641

alpha/2 = 11 / 131
= 3180 mod 6829

(410, 538i) 1707=1 mod 6829

8641

71, 61u=71, v=62 → 94, 7

a=1197,b=8804,c=8885

alpha/2 = 9 / 133
= 5186 mod 6829

(177, 1193i) 3414=1 mod 6829

5*1777 = 8885

71, 63u=71, v=64

a=945,b=9088,c=9137

alpha/2 = 7 / 135
= 860 mod 6829

(689, 1582i) 3414=1 mod 6829

9137

71, 65u=71, v=66

a=685,b=9372,c=9397

alpha/2 = 5 / 137
= 3589 mod 6829

(1560, 2300i) 3414=1 mod 6829

9397

71, 67u=71, v=68 → 97, 16

a=417,b=9656,c=9665

alpha/2 = 3 / 139
= 1130 mod 6829

(2238, 3340i) 3414=1 mod 6829

5*1933 = 9665

71, 69u=71, v=70 f(u,70)=u2+4900;↓

a=141,b=9940,c=9941

alpha/2 = 1 / 141
= 5037 mod 6829

(1726, 2337i) 569=1 mod 6829

9941

u=72, v=1 f(72,v)=5184+v2;→ → 57, 44

a=5183,b=144,c=5185

alpha/2 = 71 / 73
= 1030 mod 6829

(107, 947i) 1138=1 mod 6829

5*17*61 = 5185

72, 272, 372, 4u=72, v=5

a=5159,b=720,c=5209

alpha/2 = 67 / 77
= 533 mod 6829

(1518, 2739i) 3414=1 mod 6829

5209

72, 6u=72, v=7

a=5135,b=1008,c=5233

alpha/2 = 65 / 79
= 2767 mod 6829

(660, 2876i) 3414=1 mod 6829

5233

72, 872, 972, 10u=72, v=11 → 52, 51

a=5063,b=1584,c=5305

alpha/2 = 61 / 83
= 1564 mod 6829

(745, 2580i) 569=1 mod 6829

5*1061 = 5305

72, 12u=72, v=13 → 68, 27

a=5015,b=1872,c=5353

alpha/2 = 59 / 85
= 3134 mod 6829

(2000, 2673i) 3414=1 mod 6829

53*101 = 5353

72, 1472, 1572, 16u=72, v=17 → 73, 12

a=4895,b=2448,c=5473

alpha/2 = 55 / 89
= 461 mod 6829

(1086, 2590i) 1138=1 mod 6829

13*421 = 5473

72, 18u=72, v=19 → 69, 28

a=4823,b=2736,c=5545

alpha/2 = 53 / 91
= 4128 mod 6829

(768, 2480i) 569=1 mod 6829

5*1109 = 5545

72, 2072, 2172, 22u=72, v=23 → 68, 33

a=4655,b=3312,c=5713

alpha/2 = 49 / 95
= 2804 mod 6829

(210, 1545i) 1707=1 mod 6829

29*197 = 5713

72, 24u=72, v=25 → 60, 47

a=4559,b=3600,c=5809

alpha/2 = 47 / 97
= 3943 mod 6829

(1676, 2005i) 1138=1 mod 6829

37*157 = 5809

72, 2672, 2772, 28u=72, v=29 → 61, 48

a=4343,b=4176,c=6025

alpha/2 = 43 / 101
= 1826 mod 6829

(1237, 1636i) 569=1 mod 6829

5*5*241 = 6025

72, 30u=72, v=31 → 68, 39

a=4223,b=4464,c=6145

alpha/2 = 41 / 103
= 133 mod 6829

(735, 2150i) 3414=1 mod 6829

5*1229 = 6145

72, 3272, 3372, 34u=72, v=35 → 60, 53 → 80, 3

a=3959,b=5040,c=6409

alpha/2 = 37 / 107
= 3000 mod 6829

(12, 1145i) 3414=1 mod 6829

13*17*29 = 6409

72, 36u=72, v=37

a=3815,b=5328,c=6553

alpha/2 = 35 / 109
= 1316 mod 6829

(1446, 2356i) 3414=1 mod 6829

6553

72, 3872, 3972, 40u=72, v=41 → 76, 33

a=3503,b=5904,c=6865

alpha/2 = 31 / 113
= 5258 mod 6829

(164, 287i) 3414=1 mod 6829

5*1373 = 6865

72, 42u=72, v=43 → 83, 12

a=3335,b=6192,c=7033

alpha/2 = 29 / 115
= 2910 mod 6829

(1557, 3244i) 1138=1 mod 6829

13*541 = 7033

72, 4472, 4572, 46u=72, v=47

a=2975,b=6768,c=7393

alpha/2 = 25 / 119
= 5165 mod 6829

(12, 1145i) 3414=1 mod 6829

7393

72, 48u=72, v=49 → 87, 4

a=2783,b=7056,c=7585

alpha/2 = 23 / 121
= 6547 mod 6829

(2267, 2914i) 3414=1 mod 6829

5*37*41 = 7585

72, 5072, 5172, 52u=72, v=53

a=2375,b=7632,c=7993

alpha/2 = 19 / 125
= 765 mod 6829

(1485, 3176i) 1707=1 mod 6829

7993

72, 54u=72, v=55

a=2159,b=7920,c=8209

alpha/2 = 17 / 127
= 2151 mod 6829

(885, 3022i) 1707=1 mod 6829

8209

72, 5672, 5772, 58u=72, v=59 → 93, 4

a=1703,b=8496,c=8665

alpha/2 = 13 / 131
= 4379 mod 6829

(1870, 3209i) 1707=1 mod 6829

5*1733 = 8665

72, 60u=72, v=61 → 93, 16

a=1463,b=8784,c=8905

alpha/2 = 11 / 133
= 1027 mod 6829

(754, 2680i) 3414=1 mod 6829

5*13*137 = 8905

72, 6272, 6372, 64u=72, v=65

a=959,b=9360,c=9409

alpha/2 = 7 / 137
= 2293 mod 6829

(314, 664i) 3414=1 mod 6829

97*97 = 9409

72, 66u=72, v=67 → 93, 32

a=695,b=9648,c=9673

alpha/2 = 5 / 139
= 6436 mod 6829

(1294, 3195i) 1138=1 mod 6829

17*569 = 9673

72, 6872, 6972, 70u=72, v=71 f(u,71)=u2+5041;↓ → 89, 48

a=143,b=10224,c=10225

alpha/2 = 1 / 143
= 4489 mod 6829

(746, 2585i) 3414=1 mod 6829

5*5*409 = 10225

73, 1u=73, v=2

a=5325,b=292,c=5333

alpha/2 = 71 / 75
= 92 mod 6829

(985, 1844i) 569=1 mod 6829

5333

73, 3u=73, v=4 → 56, 47

a=5313,b=584,c=5345

alpha/2 = 69 / 77
= 4524 mod 6829

(995, 1068i) 3414=1 mod 6829

5*1069 = 5345

73, 5u=73, v=6 → 57, 46

a=5293,b=876,c=5365

alpha/2 = 67 / 79
= 4323 mod 6829

(113, 3190i) 1138=1 mod 6829

5*29*37 = 5365

73, 7u=73, v=8

a=5265,b=1168,c=5393

alpha/2 = 65 / 81
= 3879 mod 6829

(75, 2721i) 1707=1 mod 6829

5393

73, 9u=73, v=10 → 70, 23

a=5229,b=1460,c=5429

alpha/2 = 63 / 83
= 4526 mod 6829

(1950, 2633i) 3414=1 mod 6829

61*89 = 5429

73, 11u=73, v=12 → 72, 17

a=5185,b=1752,c=5473

alpha/2 = 61 / 85
= 2893 mod 6829

(1633, 2537i) 3414=1 mod 6829

13*421 = 5473

73, 13u=73, v=14 → 62, 41 → 74, 7

a=5133,b=2044,c=5525

alpha/2 = 59 / 87
= 2434 mod 6829

(1779, 2934i) 569=1 mod 6829

5*5*13*17 = 5525

73, 15u=73, v=16 → 68, 31

a=5073,b=2336,c=5585

alpha/2 = 57 / 89
= 4451 mod 6829

(463, 833i) 1707=1 mod 6829

5*1117 = 5585

73, 17u=73, v=18

a=5005,b=2628,c=5653

alpha/2 = 55 / 91
= 676 mod 6829

(3138, 3207i) 569=1 mod 6829

5653

73, 19u=73, v=20 → 55, 52

a=4929,b=2920,c=5729

alpha/2 = 53 / 93
= 74 mod 6829

(494, 2485i) 3414=1 mod 6829

17*337 = 5729

73, 21u=73, v=22

a=4845,b=3212,c=5813

alpha/2 = 51 / 95
= 6542 mod 6829

(2364, 2396i) 3414=1 mod 6829

5813

73, 23u=73, v=24 → 63, 44

a=4753,b=3504,c=5905

alpha/2 = 49 / 97
= 3239 mod 6829

(357, 2221i) 1707=1 mod 6829

5*1181 = 5905

73, 25u=73, v=26 → 74, 23

a=4653,b=3796,c=6005

alpha/2 = 47 / 99
= 5036 mod 6829

(2782, 2955i) 569=1 mod 6829

5*1201 = 6005

73, 27u=73, v=28

a=4545,b=4088,c=6113

alpha/2 = 45 / 101
= 2705 mod 6829

(461, 2703i) 1707=1 mod 6829

6113

73, 29u=73, v=30

a=4429,b=4380,c=6229

alpha/2 = 43 / 103
= 5636 mod 6829

(4, 2056i) 3414=1 mod 6829

6229

73, 31u=73, v=32

a=4305,b=4672,c=6353

alpha/2 = 41 / 105
= 1041 mod 6829

(928, 2118i) 1707=1 mod 6829

6353

73, 33u=73, v=34 → 71, 38

a=4173,b=4964,c=6485

alpha/2 = 39 / 107
= 4085 mod 6829

(2606, 3184i) 1707=1 mod 6829

5*1297 = 6485

73, 35u=73, v=36 → 81, 8

a=4033,b=5256,c=6625

alpha/2 = 37 / 109
= 2757 mod 6829

(388, 2436i) 1138=1 mod 6829

5*5*5*53 = 6625

73, 37u=73, v=38 → 82, 7

a=3885,b=5548,c=6773

alpha/2 = 35 / 111
= 5968 mod 6829

(923, 2538i) 3414=1 mod 6829

13*521 = 6773

73, 39u=73, v=40 → 80, 23

a=3729,b=5840,c=6929

alpha/2 = 33 / 113
= 1632 mod 6829

(31, 2790i) 1707=1 mod 6829

13*13*41 = 6929

73, 41u=73, v=42 → 62, 57

a=3565,b=6132,c=7093

alpha/2 = 31 / 115
= 5701 mod 6829

(908, 1254i) 569=1 mod 6829

41*173 = 7093

73, 43u=73, v=44 → 79, 32

a=3393,b=6424,c=7265

alpha/2 = 29 / 117
= 5837 mod 6829

(885, 3022i) 1707=1 mod 6829

5*1453 = 7265

73, 45u=73, v=46 → 86, 7

a=3213,b=6716,c=7445

alpha/2 = 27 / 119
= 115 mod 6829

(410, 538i) 1707=1 mod 6829

5*1489 = 7445

73, 47u=73, v=48 → 87, 8

a=3025,b=7008,c=7633

alpha/2 = 25 / 121
= 4741 mod 6829

(1728, 2353i) 1707=1 mod 6829

17*449 = 7633

73, 49u=73, v=50

a=2829,b=7300,c=7829

alpha/2 = 23 / 123
= 2221 mod 6829

(4, 2056i) 3414=1 mod 6829

7829

73, 51u=73, v=52 → 88, 17

a=2625,b=7592,c=8033

alpha/2 = 21 / 125
= 5518 mod 6829

(755, 911i) 3414=1 mod 6829

29*277 = 8033

73, 53u=73, v=54 → 89, 18

a=2413,b=7884,c=8245

alpha/2 = 19 / 127
= 5216 mod 6829

(1557, 3244i) 1138=1 mod 6829

5*17*97 = 8245

73, 55u=73, v=56 → 92, 1

a=2193,b=8176,c=8465

alpha/2 = 17 / 129
= 6088 mod 6829

(1756, 3144i) 1138=1 mod 6829

5*1693 = 8465

73, 57u=73, v=58

a=1965,b=8468,c=8693

alpha/2 = 15 / 131
= 5578 mod 6829

(948, 3280i) 1707=1 mod 6829

8693

73, 59u=73, v=60

a=1729,b=8760,c=8929

alpha/2 = 13 / 133
= 3697 mod 6829

(978, 3126i) 1707=1 mod 6829

8929

73, 61u=73, v=62

a=1485,b=9052,c=9173

alpha/2 = 11 / 135
= 2327 mod 6829

(1010, 1233i) 569=1 mod 6829

9173

73, 63u=73, v=64 → 97, 4

a=1233,b=9344,c=9425

alpha/2 = 9 / 137
= 997 mod 6829

(1955, 2869i) 1138=1 mod 6829

5*5*13*29 = 9425

73, 65u=73, v=66 → 98, 9

a=973,b=9636,c=9685

alpha/2 = 7 / 139
= 4913 mod 6829

(319, 1490i) 3414=1 mod 6829

5*13*149 = 9685

73, 67u=73, v=68 → 88, 47

a=705,b=9928,c=9953

alpha/2 = 5 / 141
= 4698 mod 6829

(1742, 2775i) 1138=1 mod 6829

37*269 = 9953

73, 69u=73, v=70 → 98, 25

a=429,b=10220,c=10229

alpha/2 = 3 / 143
= 6638 mod 6829

(1207, 1650i) 1707=1 mod 6829

53*193 = 10229

73, 71u=73, v=72 f(u,72)=u2+5184;↓

a=145,b=10512,c=10513

alpha/2 = 1 / 145
= 1460 mod 6829

(1382, 2204i) 569=1 mod 6829

10513

u=74, v=1 f(74,v)=5476+v2;→

a=5475,b=148,c=5477

alpha/2 = 73 / 75
= 3461 mod 6829

(494, 2485i) 3414=1 mod 6829

5477

74, 2u=74, v=3 → 61, 42

a=5467,b=444,c=5485

alpha/2 = 71 / 77
= 1686 mod 6829

(1524, 3383i) 3414=1 mod 6829

5*1097 = 5485

74, 4u=74, v=5

a=5451,b=740,c=5501

alpha/2 = 69 / 79
= 5879 mod 6829

(361, 1501i) 1707=1 mod 6829

5501

74, 6u=74, v=7 → 62, 41

a=5427,b=1036,c=5525

alpha/2 = 67 / 81
= 1687 mod 6829

(973, 2492i) 1138=1 mod 6829

5*5*13*17 = 5525

74, 8u=74, v=9

a=5395,b=1332,c=5557

alpha/2 = 65 / 83
= 659 mod 6829

(1384, 3029i) 1707=1 mod 6829

5557

74, 10u=74, v=11 → 59, 46

a=5355,b=1628,c=5597

alpha/2 = 63 / 85
= 2652 mod 6829

(733, 1828i) 3414=1 mod 6829

29*193 = 5597

74, 12u=74, v=13 → 67, 34

a=5307,b=1924,c=5645

alpha/2 = 61 / 87
= 2748 mod 6829

(852, 1697i) 569=1 mod 6829

5*1129 = 5645

74, 14u=74, v=15

a=5251,b=2220,c=5701

alpha/2 = 59 / 89
= 1612 mod 6829

(1237, 1636i) 569=1 mod 6829

5701

74, 16u=74, v=17 → 58, 49

a=5187,b=2516,c=5765

alpha/2 = 57 / 91
= 4053 mod 6829

(126, 2556i) 3414=1 mod 6829

5*1153 = 5765

74, 18u=74, v=19 → 61, 46

a=5115,b=2812,c=5837

alpha/2 = 55 / 93
= 5875 mod 6829

(1499, 2784i) 3414=1 mod 6829

13*449 = 5837

74, 20u=74, v=21 → 69, 34

a=5035,b=3108,c=5917

alpha/2 = 53 / 95
= 3451 mod 6829

(985, 1844i) 569=1 mod 6829

61*97 = 5917

74, 22u=74, v=23 → 73, 26

a=4947,b=3404,c=6005

alpha/2 = 51 / 97
= 2535 mod 6829

(611, 1297i) 569=1 mod 6829

5*1201 = 6005

74, 24u=74, v=25

a=4851,b=3700,c=6101

alpha/2 = 49 / 99
= 5105 mod 6829

(59, 718i) 3414=1 mod 6829

6101

74, 26u=74, v=27 → 66, 43 → 78, 11

a=4747,b=3996,c=6205

alpha/2 = 47 / 101
= 3584 mod 6829

(69, 1451i) 569=1 mod 6829

5*17*73 = 6205

74, 28u=74, v=29

a=4635,b=4292,c=6317

alpha/2 = 45 / 103
= 4310 mod 6829

(1112, 3072i) 1707=1 mod 6829

6317

74, 30u=74, v=31 → 79, 14

a=4515,b=4588,c=6437

alpha/2 = 43 / 105
= 4423 mod 6829

(1086, 2590i) 1138=1 mod 6829

41*157 = 6437

74, 32u=74, v=33 → 66, 47 → 81, 2

a=4387,b=4884,c=6565

alpha/2 = 41 / 107
= 5170 mod 6829

(1698, 3396i) 1138=1 mod 6829

5*13*101 = 6565

74, 34u=74, v=35

a=4251,b=5180,c=6701

alpha/2 = 39 / 109
= 4198 mod 6829

(1367, 2307i) 3414=1 mod 6829

6701

74, 3674, 3774, 38u=74, v=39

a=3955,b=5772,c=6997

alpha/2 = 35 / 113
= 4835 mod 6829

(261, 1429i) 3414=1 mod 6829

6997

74, 40u=74, v=41 → 71, 46

a=3795,b=6068,c=7157

alpha/2 = 33 / 115
= 1663 mod 6829

(1698, 3396i) 1138=1 mod 6829

17*421 = 7157

74, 42u=74, v=43 → 62, 59

a=3627,b=6364,c=7325

alpha/2 = 31 / 117
= 117 mod 6829

(2135, 2995i) 3414=1 mod 6829

5*5*293 = 7325

74, 44u=74, v=45 → 70, 51

a=3451,b=6660,c=7501

alpha/2 = 29 / 119
= 1894 mod 6829

(66, 2083i) 3414=1 mod 6829

13*577 = 7501

74, 46u=74, v=47 → 86, 17

a=3267,b=6956,c=7685

alpha/2 = 27 / 121
= 2935 mod 6829

(1735, 2210i) 1707=1 mod 6829

5*29*53 = 7685

74, 48u=74, v=49

a=3075,b=7252,c=7877

alpha/2 = 25 / 123
= 6274 mod 6829

(1166, 2180i) 3414=1 mod 6829

7877

74, 50u=74, v=51 → 66, 61

a=2875,b=7548,c=8077

alpha/2 = 23 / 125
= 3442 mod 6829

(36, 991i) 3414=1 mod 6829

41*197 = 8077

74, 52u=74, v=53 → 91, 2

a=2667,b=7844,c=8285

alpha/2 = 21 / 127
= 1452 mod 6829

(31, 2790i) 1707=1 mod 6829

5*1657 = 8285

74, 54u=74, v=55

a=2451,b=8140,c=8501

alpha/2 = 19 / 129
= 4394 mod 6829

(544, 2249i) 1138=1 mod 6829

8501

74, 56u=74, v=57 → 87, 34

a=2227,b=8436,c=8725

alpha/2 = 17 / 131
= 6777 mod 6829

(307, 2358i) 3414=1 mod 6829

5*5*349 = 8725

74, 58u=74, v=59 → 94, 11

a=1995,b=8732,c=8957

alpha/2 = 15 / 133
= 6367 mod 6829

(2135, 2995i) 3414=1 mod 6829

13*13*53 = 8957

74, 60u=74, v=61 → 94, 19

a=1755,b=9028,c=9197

alpha/2 = 13 / 135
= 6475 mod 6829

(423, 850i) 3414=1 mod 6829

17*541 = 9197

74, 62u=74, v=63 → 97, 6

a=1507,b=9324,c=9445

alpha/2 = 11 / 137
= 6530 mod 6829

(143, 1782i) 1138=1 mod 6829

5*1889 = 9445

74, 64u=74, v=65 → 95, 26

a=1251,b=9620,c=9701

alpha/2 = 9 / 139
= 3390 mod 6829

(1839, 2723i) 1707=1 mod 6829

89*109 = 9701

74, 66u=74, v=67 → 98, 19

a=987,b=9916,c=9965

alpha/2 = 7 / 141
= 1114 mod 6829

(2424, 2880i) 1707=1 mod 6829

5*1993 = 9965

74, 68u=74, v=69

a=715,b=10212,c=10237

alpha/2 = 5 / 143
= 1958 mod 6829

(110, 3147i) 3414=1 mod 6829

29*353 = 10237

74, 70u=74, v=71 → 94, 41

a=435,b=10508,c=10517

alpha/2 = 3 / 145
= 4380 mod 6829

(476, 2034i) 1707=1 mod 6829

13*809 = 10517

74, 72u=74, v=73 f(u,73)=u2+5329;↓

a=147,b=10804,c=10805

alpha/2 = 1 / 147
= 3159 mod 6829

(224, 1070i) 3414=1 mod 6829

5*2161 = 10805

75, 1u=75, v=2 → 70, 27

a=5621,b=300,c=5629

alpha/2 = 73 / 77
= 5677 mod 6829

(864, 1707i) 1707=1 mod 6829

13*433 = 5629

75, 3u=75, v=4

a=5609,b=600,c=5641

alpha/2 = 71 / 79
= 606 mod 6829

(93, 1725i) 569=1 mod 6829

5641

75, 575, 675, 7u=75, v=8

a=5561,b=1200,c=5689

alpha/2 = 67 / 83
= 3621 mod 6829

(550, 2517i) 1138=1 mod 6829

5689

75, 975, 1075, 1175, 1275, 13u=75, v=14

a=5429,b=2100,c=5821

alpha/2 = 61 / 89
= 5602 mod 6829

(378, 567i) 1707=1 mod 6829

5821

75, 15u=75, v=16

a=5369,b=2400,c=5881

alpha/2 = 59 / 91
= 601 mod 6829

(1327, 1467i) 3414=1 mod 6829

5881

75, 1775, 1875, 1975, 2075, 21u=75, v=22 → 78, 5

a=5141,b=3300,c=6109

alpha/2 = 53 / 97
= 1831 mod 6829

(837, 2850i) 1707=1 mod 6829

41*149 = 6109

75, 2375, 2475, 25u=75, v=26

a=4949,b=3900,c=6301

alpha/2 = 49 / 101
= 4463 mod 6829

(473, 3204i) 3414=1 mod 6829

6301

75, 27u=75, v=28 → 60, 53 → 80, 3

a=4841,b=4200,c=6409

alpha/2 = 47 / 103
= 2984 mod 6829

(10, 460i) 3414=1 mod 6829

13*17*29 = 6409

75, 2975, 3075, 31u=75, v=32 → 68, 45

a=4601,b=4800,c=6649

alpha/2 = 43 / 107
= 6255 mod 6829

(2303, 3351i) 3414=1 mod 6829

61*109 = 6649

75, 33u=75, v=34

a=4469,b=5100,c=6781

alpha/2 = 41 / 109
= 5639 mod 6829

(1089, 1601i) 1707=1 mod 6829

6781

75, 3575, 3675, 37u=75, v=38

a=4181,b=5700,c=7069

alpha/2 = 37 / 113
= 1209 mod 6829

(1731, 2515i) 3414=1 mod 6829

7069

75, 3975, 4075, 4175, 4275, 43u=75, v=44

a=3689,b=6600,c=7561

alpha/2 = 31 / 119
= 3673 mod 6829

(854, 2230i) 569=1 mod 6829

7561

75, 45u=75, v=46

a=3509,b=6900,c=7741

alpha/2 = 29 / 121
= 1129 mod 6829

(262, 1022i) 1707=1 mod 6829

7741

75, 4775, 4875, 4975, 5075, 51u=75, v=52

a=2921,b=7800,c=8329

alpha/2 = 23 / 127
= 4517 mod 6829

(1371, 3408i) 3414=1 mod 6829

8329

75, 5375, 5475, 55u=75, v=56

a=2489,b=8400,c=8761

alpha/2 = 19 / 131
= 1147 mod 6829

(1192, 2571i) 1707=1 mod 6829

8761

75, 57u=75, v=58 → 85, 42

a=2261,b=8700,c=8989

alpha/2 = 17 / 133
= 2208 mod 6829

(1996, 2462i) 569=1 mod 6829

89*101 = 8989

75, 5975, 6075, 61u=75, v=62 → 90, 37

a=1781,b=9300,c=9469

alpha/2 = 13 / 137
= 5234 mod 6829

(2092, 2642i) 1707=1 mod 6829

17*557 = 9469

75, 63u=75, v=64

a=1529,b=9600,c=9721

alpha/2 = 11 / 139
= 1867 mod 6829

(145, 578i) 3414=1 mod 6829

9721

75, 6575, 6675, 67u=75, v=68 → 93, 40

a=1001,b=10200,c=10249

alpha/2 = 7 / 143
= 4107 mod 6829

(182, 3112i) 1138=1 mod 6829

37*277 = 10249

75, 6975, 7075, 7175, 7275, 73u=75, v=74 f(u,74)=u2+5476;↓

a=149,b=11100,c=11101

alpha/2 = 1 / 149
= 275 mod 6829

(1063, 1321i) 3414=1 mod 6829

17*653 = 11101

u=76, v=1 f(76,v)=5776+v2;→ → 64, 41

a=5775,b=152,c=5777

alpha/2 = 75 / 77
= 2839 mod 6829

(649, 1520i) 569=1 mod 6829

53*109 = 5777

76, 2u=76, v=3 → 59, 48

a=5767,b=456,c=5785

alpha/2 = 73 / 79
= 2162 mod 6829

(863, 3178i) 1707=1 mod 6829

5*13*89 = 5785

76, 4u=76, v=5

a=5751,b=760,c=5801

alpha/2 = 71 / 81
= 4132 mod 6829

(1195, 2324i) 1707=1 mod 6829

5801

76, 6u=76, v=7 → 71, 28

a=5727,b=1064,c=5825

alpha/2 = 69 / 83
= 6583 mod 6829

(1128, 2502i) 1707=1 mod 6829

5*5*233 = 5825

76, 8u=76, v=9

a=5695,b=1368,c=5857

alpha/2 = 67 / 85
= 2170 mod 6829

(1137, 2022i) 569=1 mod 6829

5857

76, 10u=76, v=11

a=5655,b=1672,c=5897

alpha/2 = 65 / 87
= 3376 mod 6829

(1921, 2255i) 1707=1 mod 6829

5897

76, 12u=76, v=13 → 56, 53 → 77, 4

a=5607,b=1976,c=5945

alpha/2 = 63 / 89
= 2763 mod 6829

(2208, 2408i) 1138=1 mod 6829

5*29*41 = 5945

76, 14u=76, v=15 → 60, 49

a=5551,b=2280,c=6001

alpha/2 = 61 / 91
= 3978 mod 6829

(150, 2576i) 3414=1 mod 6829

17*353 = 6001

76, 16u=76, v=17 → 71, 32

a=5487,b=2584,c=6065

alpha/2 = 59 / 93
= 3819 mod 6829

(1076, 1196i) 3414=1 mod 6829

5*1213 = 6065

76, 1876, 1976, 20u=76, v=21

a=5335,b=3192,c=6217

alpha/2 = 55 / 97
= 1127 mod 6829

(605, 1066i) 3414=1 mod 6829

6217

76, 22u=76, v=23 → 64, 47 → 79, 8

a=5247,b=3496,c=6305

alpha/2 = 53 / 99
= 5243 mod 6829

(1870, 3209i) 1707=1 mod 6829

5*13*97 = 6305

76, 24u=76, v=25 → 80, 1

a=5151,b=3800,c=6401

alpha/2 = 51 / 101
= 5342 mod 6829

(2900, 3200i) 1138=1 mod 6829

37*173 = 6401

76, 26u=76, v=27 → 77, 24

a=5047,b=4104,c=6505

alpha/2 = 49 / 103
= 1658 mod 6829

(2289, 3409i) 3414=1 mod 6829

5*1301 = 6505

76, 28u=76, v=29 → 59, 56

a=4935,b=4408,c=6617

alpha/2 = 47 / 105
= 4358 mod 6829

(1010, 1233i) 569=1 mod 6829

13*509 = 6617

76, 30u=76, v=31

a=4815,b=4712,c=6737

alpha/2 = 45 / 107
= 511 mod 6829

(1358, 2621i) 1138=1 mod 6829

6737

76, 32u=76, v=33 → 72, 41

a=4687,b=5016,c=6865

alpha/2 = 43 / 109
= 251 mod 6829

(2137, 3355i) 3414=1 mod 6829

5*1373 = 6865

76, 34u=76, v=35

a=4551,b=5320,c=7001

alpha/2 = 41 / 111
= 1723 mod 6829

(825, 2766i) 3414=1 mod 6829

7001

76, 36u=76, v=37 → 83, 16

a=4407,b=5624,c=7145

alpha/2 = 39 / 113
= 4412 mod 6829

(122, 1228i) 1138=1 mod 6829

5*1429 = 7145

76, 38u=76, v=39

a=4255,b=5928,c=7297

alpha/2 = 37 / 115
= 416 mod 6829

(2289, 3409i) 3414=1 mod 6829

7297

76, 40u=76, v=41

a=4095,b=6232,c=7457

alpha/2 = 35 / 117
= 2335 mod 6829

(1034, 1418i) 569=1 mod 6829

7457

76, 42u=76, v=43 → 67, 56

a=3927,b=6536,c=7625

alpha/2 = 33 / 119
= 5452 mod 6829

(1668, 2291i) 1707=1 mod 6829

5*5*5*61 = 7625

76, 44u=76, v=45 → 85, 24

a=3751,b=6840,c=7801

alpha/2 = 31 / 121
= 6152 mod 6829

(1135, 3281i) 1707=1 mod 6829

29*269 = 7801

76, 46u=76, v=47 → 89, 8

a=3567,b=7144,c=7985

alpha/2 = 29 / 123
= 722 mod 6829

(975, 1285i) 1138=1 mod 6829

5*1597 = 7985

76, 48u=76, v=49 → 71, 56 → 89, 16

a=3375,b=7448,c=8177

alpha/2 = 27 / 125
= 6119 mod 6829

(1109, 1345i) 1707=1 mod 6829

13*17*37 = 8177

76, 50u=76, v=51

a=3175,b=7752,c=8377

alpha/2 = 25 / 127
= 753 mod 6829

(842, 1824i) 1138=1 mod 6829

8377

76, 52u=76, v=53 → 67, 64 → 92, 11

a=2967,b=8056,c=8585

alpha/2 = 23 / 129
= 1006 mod 6829

(1410, 1971i) 569=1 mod 6829

5*17*101 = 8585

76, 54u=76, v=55 → 80, 49

a=2751,b=8360,c=8801

alpha/2 = 21 / 131
= 2346 mod 6829

(1131, 3154i) 1707=1 mod 6829

13*677 = 8801

76, 5676, 5776, 58u=76, v=59

a=2295,b=8968,c=9257

alpha/2 = 17 / 135
= 1113 mod 6829

(210, 1545i) 1707=1 mod 6829

9257

76, 60u=76, v=61

a=2055,b=9272,c=9497

alpha/2 = 15 / 137
= 3938 mod 6829

(1744, 1836i) 3414=1 mod 6829

9497

76, 62u=76, v=63 → 96, 23

a=1807,b=9576,c=9745

alpha/2 = 13 / 139
= 344 mod 6829

(2111, 2654i) 1138=1 mod 6829

5*1949 = 9745

76, 64u=76, v=65

a=1551,b=9880,c=10001

alpha/2 = 11 / 141
= 775 mod 6829

(1513, 2012i) 1707=1 mod 6829

73*137 = 10001

76, 66u=76, v=67

a=1287,b=10184,c=10265

alpha/2 = 9 / 143
= 6256 mod 6829

(1648, 1903i) 1138=1 mod 6829

5*2053 = 10265

76, 68u=76, v=69 → 84, 59

a=1015,b=10488,c=10537

alpha/2 = 7 / 145
= 3391 mod 6829

(1225, 1942i) 1138=1 mod 6829

41*257 = 10537

76, 70u=76, v=71

a=735,b=10792,c=10817

alpha/2 = 5 / 147
= 2137 mod 6829

(1422, 2228i) 1707=1 mod 6829

29*373 = 10817

76, 72u=76, v=73

a=447,b=11096,c=11105

alpha/2 = 3 / 149
= 825 mod 6829

(1244, 1951i) 3414=1 mod 6829

5*2221 = 11105

76, 74u=76, v=75 f(u,75)=u2+5625;↓ → 99, 40

a=151,b=11400,c=11401

alpha/2 = 1 / 151
= 5020 mod 6829

(832, 2709i) 1707=1 mod 6829

13*877 = 11401

77, 1u=77, v=2 → 67, 38

a=5925,b=308,c=5933

alpha/2 = 75 / 79
= 3718 mod 6829

(1921, 2255i) 1707=1 mod 6829

17*349 = 5933

77, 3u=77, v=4 → 56, 53

a=5913,b=616,c=5945

alpha/2 = 73 / 81
= 1940 mod 6829

(217, 2471i) 1707=1 mod 6829

5*29*41 = 5945

77, 5u=77, v=6 → 58, 51

a=5893,b=924,c=5965

alpha/2 = 71 / 83
= 2716 mod 6829

(568, 665i) 1138=1 mod 6829

5*1193 = 5965

77, 7u=77, v=8 → 68, 37

a=5865,b=1232,c=5993

alpha/2 = 69 / 85
= 1929 mod 6829

(1992, 2158i) 1138=1 mod 6829

13*461 = 5993

77, 9u=77, v=10

a=5829,b=1540,c=6029

alpha/2 = 67 / 87
= 3690 mod 6829

(1197, 1706i) 1707=1 mod 6829

6029

77, 11u=77, v=12

a=5785,b=1848,c=6073

alpha/2 = 65 / 89
= 6753 mod 6829

(649, 1520i) 569=1 mod 6829

6073

77, 1377, 1477, 15u=77, v=16 → 59, 52

a=5673,b=2464,c=6185

alpha/2 = 61 / 93
= 2791 mod 6829

(590, 3137i) 1707=1 mod 6829

5*1237 = 6185

77, 17u=77, v=18 → 67, 42

a=5605,b=2772,c=6253

alpha/2 = 59 / 95
= 1007 mod 6829

(422, 2563i) 3414=1 mod 6829

13*13*37 = 6253

77, 19u=77, v=20

a=5529,b=3080,c=6329

alpha/2 = 57 / 97
= 423 mod 6829

(267, 2729i) 3414=1 mod 6829

6329

77, 2177, 2277, 23u=77, v=24 → 76, 27

a=5353,b=3696,c=6505

alpha/2 = 53 / 101
= 6221 mod 6829

(1513, 2012i) 1707=1 mod 6829

5*1301 = 6505

77, 25u=77, v=26 → 67, 46

a=5253,b=4004,c=6605

alpha/2 = 51 / 103
= 332 mod 6829

(2188, 2543i) 3414=1 mod 6829

5*1321 = 6605

77, 2777, 2877, 29u=77, v=30

a=5029,b=4620,c=6829

alpha/2 = 47 / 107
= 1596 mod 6829

6829

77, 31u=77, v=32 → 83, 8

a=4905,b=4928,c=6953

alpha/2 = 45 / 109
= 1692 mod 6829

(1282, 2659i) 1138=1 mod 6829

17*409 = 6953

77, 33u=77, v=34 → 61, 58 → 83, 14

a=4773,b=5236,c=7085

alpha/2 = 43 / 111
= 308 mod 6829

(1059, 1621i) 1707=1 mod 6829

5*13*109 = 7085

77, 35u=77, v=36 → 84, 13

a=4633,b=5544,c=7225

alpha/2 = 41 / 113
= 786 mod 6829

(14, 1868i) 3414=1 mod 6829

5*5*17*17 = 7225

77, 37u=77, v=38 → 83, 22

a=4485,b=5852,c=7373

alpha/2 = 39 / 115
= 3207 mod 6829

(1109, 1345i) 1707=1 mod 6829

73*101 = 7373

77, 39u=77, v=40

a=4329,b=6160,c=7529

alpha/2 = 37 / 117
= 3444 mod 6829

(972, 1357i) 1707=1 mod 6829

7529

77, 4177, 4277, 4377, 4477, 45u=77, v=46 → 83, 34

a=3813,b=7084,c=8045

alpha/2 = 31 / 123
= 4775 mod 6829

(208, 941i) 569=1 mod 6829

5*1609 = 8045

77, 47u=77, v=48

a=3625,b=7392,c=8233

alpha/2 = 29 / 125
= 4043 mod 6829

(122, 1228i) 1138=1 mod 6829

8233

77, 49u=77, v=50

a=3429,b=7700,c=8429

alpha/2 = 27 / 127
= 3818 mod 6829

(422, 2563i) 3414=1 mod 6829

8429

77, 51u=77, v=52 → 92, 13

a=3225,b=8008,c=8633

alpha/2 = 25 / 129
= 6141 mod 6829

(171, 2243i) 1138=1 mod 6829

89*97 = 8633

77, 53u=77, v=54 → 67, 66 → 94, 3

a=3013,b=8316,c=8845

alpha/2 = 23 / 131
= 3545 mod 6829

(242, 2565i) 1138=1 mod 6829

5*29*61 = 8845

77, 5577, 5677, 57u=77, v=58

a=2565,b=8932,c=9293

alpha/2 = 19 / 135
= 5261 mod 6829

(423, 850i) 3414=1 mod 6829

9293

77, 59u=77, v=60 → 85, 48

a=2329,b=9240,c=9529

alpha/2 = 17 / 137
= 2642 mod 6829

(2128, 2278i) 3414=1 mod 6829

13*733 = 9529

77, 61u=77, v=62 → 98, 13

a=2085,b=9548,c=9773

alpha/2 = 15 / 139
= 5650 mod 6829

(685, 1794i) 1707=1 mod 6829

29*337 = 9773

77, 63u=77, v=64 → 83, 56

a=1833,b=9856,c=10025

alpha/2 = 13 / 141
= 4020 mod 6829

(101, 3108i) 1138=1 mod 6829

5*5*401 = 10025

77, 6577, 6677, 67u=77, v=68 → 88, 53

a=1305,b=10472,c=10553

alpha/2 = 9 / 145
= 6311 mod 6829

(773, 1979i) 569=1 mod 6829

61*173 = 10553

77, 6977, 7077, 71u=77, v=72

a=745,b=11088,c=11113

alpha/2 = 5 / 149
= 1375 mod 6829

(806, 3327i) 1707=1 mod 6829

11113

77, 73u=77, v=74

a=453,b=11396,c=11405

alpha/2 = 3 / 151
= 1402 mod 6829

(1873, 3220i) 1138=1 mod 6829

5*2281 = 11405

77, 75u=77, v=76 f(u,76)=u2+5776;↓

a=153,b=11704,c=11705

alpha/2 = 1 / 153
= 1830 mod 6829

(1133, 2625i) 569=1 mod 6829

5*2341 = 11705

u=78, v=1 f(78,v)=6084+v2;→ → 63, 46

a=6083,b=156,c=6085

alpha/2 = 77 / 79
= 5274 mod 6829

(3194, 3287i) 1707=1 mod 6829

5*1217 = 6085

78, 278, 378, 4u=78, v=5 → 75, 22

a=6059,b=780,c=6109

alpha/2 = 73 / 83
= 5678 mod 6829

(568, 665i) 1138=1 mod 6829

41*149 = 6109

78, 6u=78, v=7

a=6035,b=1092,c=6133

alpha/2 = 71 / 85
= 1688 mod 6829

(217, 2471i) 1707=1 mod 6829

6133

78, 878, 978, 10u=78, v=11 → 66, 43

a=5963,b=1716,c=6205

alpha/2 = 67 / 89
= 3914 mod 6829

(1710, 3394i) 3414=1 mod 6829

5*17*73 = 6205

78, 1278, 1378, 1478, 1578, 16u=78, v=17

a=5795,b=2652,c=6373

alpha/2 = 61 / 95
= 4745 mod 6829

(1410, 1971i) 569=1 mod 6829

6373

78, 18u=78, v=19 → 62, 51

a=5723,b=2964,c=6445

alpha/2 = 59 / 97
= 6548 mod 6829

(2782, 2955i) 569=1 mod 6829

5*1289 = 6445

78, 2078, 2178, 22u=78, v=23 → 58, 57

a=5555,b=3588,c=6613

alpha/2 = 55 / 101
= 271 mod 6829

(396, 2219i) 569=1 mod 6829

17*389 = 6613

78, 24u=78, v=25

a=5459,b=3900,c=6709

alpha/2 = 53 / 103
= 5835 mod 6829

(2834, 3382i) 3414=1 mod 6829

6709

78, 2678, 2778, 28u=78, v=29 → 83, 6

a=5243,b=4524,c=6925

alpha/2 = 49 / 107
= 2681 mod 6829

(1833, 2608i) 3414=1 mod 6829

5*5*277 = 6925

78, 30u=78, v=31 → 81, 22

a=5123,b=4836,c=7045

alpha/2 = 47 / 109
= 3133 mod 6829

(357, 2221i) 1707=1 mod 6829

5*1409 = 7045

78, 3278, 3378, 34u=78, v=35

a=4859,b=5460,c=7309

alpha/2 = 43 / 113
= 3989 mod 6829

(865, 1000i) 569=1 mod 6829

7309

78, 36u=78, v=37 → 82, 27

a=4715,b=5772,c=7453

alpha/2 = 41 / 115
= 5998 mod 6829

(1698, 3396i) 1138=1 mod 6829

29*257 = 7453

78, 3878, 3978, 40u=78, v=41 → 87, 14

a=4403,b=6396,c=7765

alpha/2 = 37 / 119
= 2181 mod 6829

(12, 1145i) 3414=1 mod 6829

5*1553 = 7765

78, 42u=78, v=43

a=4235,b=6708,c=7933

alpha/2 = 35 / 121
= 2540 mod 6829

(1623, 2295i) 3414=1 mod 6829

7933

78, 4478, 4578, 46u=78, v=47

a=3875,b=7332,c=8293

alpha/2 = 31 / 125
= 1967 mod 6829

(1560, 2300i) 3414=1 mod 6829

8293

78, 48u=78, v=49 → 86, 33

a=3683,b=7644,c=8485

alpha/2 = 29 / 127
= 54 mod 6829

(1194, 3014i) 569=1 mod 6829

5*1697 = 8485

78, 5078, 5178, 52u=78, v=53

a=3275,b=8268,c=8893

alpha/2 = 25 / 131
= 4744 mod 6829

(1076, 1196i) 3414=1 mod 6829

8893

78, 54u=78, v=55

a=3059,b=8580,c=9109

alpha/2 = 23 / 133
= 3389 mod 6829

(1649, 2340i) 569=1 mod 6829

9109

78, 5678, 5778, 58u=78, v=59 → 94, 27

a=2603,b=9204,c=9565

alpha/2 = 19 / 137
= 1346 mod 6829

(902, 1471i) 1138=1 mod 6829

5*1913 = 9565

78, 60u=78, v=61 → 99, 2

a=2363,b=9516,c=9805

alpha/2 = 17 / 139
= 4127 mod 6829

(823, 2509i) 3414=1 mod 6829

5*37*53 = 9805

78, 6278, 6378, 6478, 6578, 66u=78, v=67

a=1595,b=10452,c=10573

alpha/2 = 11 / 145
= 2402 mod 6829

(1705, 1989i) 3414=1 mod 6829

97*109 = 10573

78, 6878, 6978, 70u=78, v=71 → 98, 39

a=1043,b=11076,c=11125

alpha/2 = 7 / 149
= 1925 mod 6829

(803, 2420i) 3414=1 mod 6829

5*5*5*89 = 11125

78, 72u=78, v=73 → 87, 62

a=755,b=11388,c=11413

alpha/2 = 5 / 151
= 4613 mod 6829

(3148, 3269i) 1138=1 mod 6829

101*113 = 11413

78, 7478, 7578, 76u=78, v=77 f(u,77)=u2+5929;↓ → 93, 58

a=155,b=12012,c=12013

alpha/2 = 1 / 155
= 3789 mod 6829

(2579, 3321i) 1138=1 mod 6829

41*293 = 12013

79, 1u=79, v=2 → 62, 49

a=6237,b=316,c=6245

alpha/2 = 77 / 81
= 4385 mod 6829

(1543, 2901i) 3414=1 mod 6829

5*1249 = 6245

79, 3u=79, v=4

a=6225,b=632,c=6257

alpha/2 = 75 / 83
= 1811 mod 6829

(954, 1768i) 1138=1 mod 6829

6257

79, 5u=79, v=6

a=6205,b=948,c=6277

alpha/2 = 73 / 85
= 1447 mod 6829

(744, 2968i) 1138=1 mod 6829

6277

79, 7u=79, v=8 → 64, 47

a=6177,b=1264,c=6305

alpha/2 = 71 / 87
= 4318 mod 6829

(1302, 1770i) 1138=1 mod 6829

5*13*97 = 6305

79, 9u=79, v=10 → 65, 46

a=6141,b=1580,c=6341

alpha/2 = 69 / 89
= 1075 mod 6829

(1342, 1732i) 3414=1 mod 6829

17*373 = 6341

79, 11u=79, v=12 → 57, 56

a=6097,b=1896,c=6385

alpha/2 = 67 / 91
= 451 mod 6829

(734, 3136i) 1138=1 mod 6829

5*1277 = 6385

79, 13u=79, v=14 → 74, 31

a=6045,b=2212,c=6437

alpha/2 = 65 / 93
= 735 mod 6829

(2, 1469i) 3414=1 mod 6829

41*157 = 6437

79, 15u=79, v=16 → 64, 49

a=5985,b=2528,c=6497

alpha/2 = 63 / 95
= 1654 mod 6829

(419, 1643i) 3414=1 mod 6829

73*89 = 6497

79, 17u=79, v=18 → 66, 47 → 81, 2

a=5917,b=2844,c=6565

alpha/2 = 61 / 97
= 5844 mod 6829

(942, 1859i) 569=1 mod 6829

5*13*101 = 6565

79, 19u=79, v=20 → 71, 40

a=5841,b=3160,c=6641

alpha/2 = 59 / 99
= 5450 mod 6829

(598, 3046i) 3414=1 mod 6829

29*229 = 6641

79, 21u=79, v=22 → 82, 1

a=5757,b=3476,c=6725

alpha/2 = 57 / 101
= 1150 mod 6829

(515, 1872i) 3414=1 mod 6829

5*5*269 = 6725

79, 23u=79, v=24 → 81, 16

a=5665,b=3792,c=6817

alpha/2 = 55 / 103
= 4509 mod 6829

(97, 316i) 1707=1 mod 6829

17*401 = 6817

79, 25u=79, v=26

a=5565,b=4108,c=6917

alpha/2 = 53 / 105
= 846 mod 6829

(1256, 2747i) 3414=1 mod 6829

6917

79, 27u=79, v=28 → 68, 49

a=5457,b=4424,c=7025

alpha/2 = 51 / 107
= 3766 mod 6829

(7, 953i) 1707=1 mod 6829

5*5*281 = 7025

79, 29u=79, v=30 → 65, 54

a=5341,b=4740,c=7141

alpha/2 = 49 / 109
= 4574 mod 6829

(2106, 2874i) 1138=1 mod 6829

37*193 = 7141

79, 31u=79, v=32 → 73, 44

a=5217,b=5056,c=7265

alpha/2 = 47 / 111
= 4307 mod 6829

(129, 2455i) 1707=1 mod 6829

5*1453 = 7265

79, 33u=79, v=34 → 86, 1

a=5085,b=5372,c=7397

alpha/2 = 45 / 113
= 363 mod 6829

(231, 1542i) 3414=1 mod 6829

13*569 = 7397

79, 35u=79, v=36

a=4945,b=5688,c=7537

alpha/2 = 43 / 115
= 1960 mod 6829

(934, 2428i) 569=1 mod 6829

7537

79, 37u=79, v=38 → 74, 47 → 86, 17

a=4797,b=6004,c=7685

alpha/2 = 41 / 117
= 5662 mod 6829

(1215, 2528i) 1707=1 mod 6829

5*29*53 = 7685

79, 39u=79, v=40

a=4641,b=6320,c=7841

alpha/2 = 39 / 119
= 3960 mod 6829

(843, 2859i) 569=1 mod 6829

7841

79, 41u=79, v=42 → 81, 38

a=4477,b=6636,c=8005

alpha/2 = 37 / 121
= 734 mod 6829

(2, 1469i) 3414=1 mod 6829

5*1601 = 8005

79, 43u=79, v=44 → 71, 56 → 89, 16

a=4305,b=6952,c=8177

alpha/2 = 35 / 123
= 6052 mod 6829

(1623, 2295i) 3414=1 mod 6829

13*17*37 = 8177

79, 45u=79, v=46 → 86, 31

a=4125,b=7268,c=8357

alpha/2 = 33 / 125
= 6720 mod 6829

(177, 1193i) 3414=1 mod 6829

61*137 = 8357

79, 47u=79, v=48 → 92, 9

a=3937,b=7584,c=8545

alpha/2 = 31 / 127
= 3119 mod 6829

(2867, 3013i) 1707=1 mod 6829

5*1709 = 8545

79, 49u=79, v=50

a=3741,b=7900,c=8741

alpha/2 = 29 / 129
= 2753 mod 6829

(2096, 2970i) 1138=1 mod 6829

8741

79, 51u=79, v=52 → 89, 32

a=3537,b=8216,c=8945

alpha/2 = 27 / 131
= 5943 mod 6829

(773, 1979i) 569=1 mod 6829

5*1789 = 8945

79, 53u=79, v=54

a=3325,b=8532,c=9157

alpha/2 = 25 / 133
= 6059 mod 6829

(2214, 3240i) 3414=1 mod 6829

9157

79, 55u=79, v=56

a=3105,b=8848,c=9377

alpha/2 = 23 / 135
= 6728 mod 6829

(904, 2628i) 3414=1 mod 6829

9377

79, 57u=79, v=58 → 98, 1

a=2877,b=9164,c=9605

alpha/2 = 21 / 137
= 50 mod 6829

(2796, 3221i) 3414=1 mod 6829

5*17*113 = 9605

79, 59u=79, v=60 → 96, 25

a=2641,b=9480,c=9841

alpha/2 = 19 / 139
= 2604 mod 6829

(2314, 2479i) 569=1 mod 6829

13*757 = 9841

79, 61u=79, v=62 → 97, 26

a=2397,b=9796,c=10085

alpha/2 = 17 / 141
= 3681 mod 6829

(2690, 2988i) 569=1 mod 6829

5*2017 = 10085

79, 63u=79, v=64

a=2145,b=10112,c=10337

alpha/2 = 15 / 143
= 5874 mod 6829

(184, 2789i) 3414=1 mod 6829

10337

79, 65u=79, v=66

a=1885,b=10428,c=10597

alpha/2 = 13 / 145
= 5322 mod 6829

(242, 2565i) 1138=1 mod 6829

10597

79, 67u=79, v=68 → 92, 49

a=1617,b=10744,c=10865

alpha/2 = 11 / 147
= 604 mod 6829

(360, 1087i) 3414=1 mod 6829

5*41*53 = 10865

79, 69u=79, v=70 → 95, 46

a=1341,b=11060,c=11141

alpha/2 = 9 / 149
= 2475 mod 6829

(2482, 3151i) 3414=1 mod 6829

13*857 = 11141

79, 71u=79, v=72 → 96, 47

a=1057,b=11376,c=11425

alpha/2 = 7 / 151
= 995 mod 6829

(1499, 2784i) 3414=1 mod 6829

5*5*457 = 11425

79, 73u=79, v=74

a=765,b=11692,c=11717

alpha/2 = 5 / 153
= 2321 mod 6829

(768, 2480i) 569=1 mod 6829

11717

79, 75u=79, v=76 → 89, 64

a=465,b=12008,c=12017

alpha/2 = 3 / 155
= 4538 mod 6829

(798, 2584i) 1707=1 mod 6829

61*197 = 12017

79, 77u=79, v=78 f(u,78)=u2+6084;↓ → 97, 54

a=157,b=12324,c=12325

alpha/2 = 1 / 157
= 87 mod 6829

(1623, 2295i) 3414=1 mod 6829

5*5*17*29 = 12325

u=80, v=1 f(80,v)=6400+v2;→ → 76, 25

a=6399,b=160,c=6401

alpha/2 = 79 / 81
= 2193 mod 6829

(1213, 1435i) 1707=1 mod 6829

37*173 = 6401

80, 2u=80, v=3 → 60, 53

a=6391,b=480,c=6409

alpha/2 = 77 / 83
= 4773 mod 6829

(1950, 2633i) 3414=1 mod 6829

13*17*29 = 6409

80, 480, 580, 6u=80, v=7

a=6351,b=1120,c=6449

alpha/2 = 73 / 87
= 4632 mod 6829

(1403, 2513i) 3414=1 mod 6829

6449

80, 8u=80, v=9

a=6319,b=1440,c=6481

alpha/2 = 71 / 89
= 5065 mod 6829

(1888, 2945i) 569=1 mod 6829

6481

80, 10u=80, v=11

a=6279,b=1760,c=6521

alpha/2 = 69 / 91
= 3828 mod 6829

(486, 2921i) 1707=1 mod 6829

6521

80, 12u=80, v=13

a=6231,b=2080,c=6569

alpha/2 = 67 / 93
= 6536 mod 6829

(8, 2051i) 1138=1 mod 6829

6569

80, 1480, 1580, 16u=80, v=17

a=6111,b=2720,c=6689

alpha/2 = 63 / 97
= 5140 mod 6829

(995, 1068i) 3414=1 mod 6829

6689

80, 18u=80, v=19

a=6039,b=3040,c=6761

alpha/2 = 61 / 99
= 5519 mod 6829

(357, 2221i) 1707=1 mod 6829

6761

80, 20u=80, v=21

a=5959,b=3360,c=6841

alpha/2 = 59 / 101
= 2029 mod 6829

(280, 3342i) 3414=1 mod 6829

6841

80, 22u=80, v=23 → 73, 40

a=5871,b=3680,c=6929

alpha/2 = 57 / 103
= 3183 mod 6829

(127, 1329i) 569=1 mod 6829

13*13*41 = 6929

80, 2480, 2580, 26u=80, v=27

a=5671,b=4320,c=7129

alpha/2 = 53 / 107
= 4851 mod 6829

(2318, 2746i) 1707=1 mod 6829

7129

80, 28u=80, v=29 → 85, 4

a=5559,b=4640,c=7241

alpha/2 = 51 / 109
= 6015 mod 6829

(2218, 2597i) 3414=1 mod 6829

13*557 = 7241

80, 30u=80, v=31 → 65, 56

a=5439,b=4960,c=7361

alpha/2 = 49 / 111
= 2892 mod 6829

(2782, 2955i) 569=1 mod 6829

17*433 = 7361

80, 32u=80, v=33

a=5311,b=5280,c=7489

alpha/2 = 47 / 113
= 3566 mod 6829

(8, 2051i) 1138=1 mod 6829

7489

80, 3480, 3580, 36u=80, v=37 → 88, 5

a=5031,b=5920,c=7769

alpha/2 = 43 / 117
= 6771 mod 6829

(139, 1175i) 1138=1 mod 6829

17*457 = 7769

80, 38u=80, v=39

a=4879,b=6240,c=7921

alpha/2 = 41 / 119
= 5739 mod 6829

(486, 2921i) 1707=1 mod 6829

89*89 = 7921

80, 40u=80, v=41

a=4719,b=6560,c=8081

alpha/2 = 39 / 121
= 5757 mod 6829

(2482, 3151i) 3414=1 mod 6829

8081

80, 42u=80, v=43 → 85, 32

a=4551,b=6880,c=8249

alpha/2 = 37 / 123
= 3276 mod 6829

(1050, 2015i) 1138=1 mod 6829

73*113 = 8249

80, 4480, 4580, 46u=80, v=47

a=4191,b=7520,c=8609

alpha/2 = 33 / 127
= 6184 mod 6829

(224, 1070i) 3414=1 mod 6829

8609

80, 48u=80, v=49 → 76, 55

a=3999,b=7840,c=8801

alpha/2 = 31 / 129
= 1059 mod 6829

(1726, 2337i) 569=1 mod 6829

13*677 = 8801

80, 50u=80, v=51

a=3799,b=8160,c=9001

alpha/2 = 29 / 131
= 313 mod 6829

(2260, 3149i) 1138=1 mod 6829

9001

80, 52u=80, v=53

a=3591,b=8480,c=9209

alpha/2 = 27 / 133
= 1900 mod 6829

(1553, 2472i) 1707=1 mod 6829

9209

80, 5480, 5580, 56u=80, v=57

a=3151,b=9120,c=9649

alpha/2 = 23 / 137
= 5583 mod 6829

(391, 2328i) 1707=1 mod 6829

9649

80, 58u=80, v=59 → 91, 40

a=2919,b=9440,c=9881

alpha/2 = 21 / 139
= 1081 mod 6829

(1957, 2554i) 3414=1 mod 6829

41*241 = 9881

80, 60u=80, v=61

a=2679,b=9760,c=10121

alpha/2 = 19 / 141
= 97 mod 6829

(1314, 2196i) 1707=1 mod 6829

29*349 = 10121

80, 62u=80, v=63

a=2431,b=10080,c=10369

alpha/2 = 17 / 143
= 1194 mod 6829

(890, 2665i) 3414=1 mod 6829

10369

80, 6480, 6580, 66u=80, v=67

a=1911,b=10720,c=10889

alpha/2 = 13 / 147
= 93 mod 6829

(31, 2790i) 1707=1 mod 6829

10889

80, 68u=80, v=69

a=1639,b=11040,c=11161

alpha/2 = 11 / 149
= 3025 mod 6829

(843, 2859i) 569=1 mod 6829

11161

80, 70u=80, v=71

a=1359,b=11360,c=11441

alpha/2 = 9 / 151
= 4206 mod 6829

(38, 138i) 3414=1 mod 6829

17*673 = 11441

80, 72u=80, v=73 → 95, 52

a=1071,b=11680,c=11729

alpha/2 = 7 / 153
= 5981 mod 6829

(2116, 2507i) 3414=1 mod 6829

37*317 = 11729

80, 7480, 7580, 76u=80, v=77

a=471,b=12320,c=12329

alpha/2 = 3 / 157
= 261 mod 6829

(247, 3007i) 1707=1 mod 6829

12329

80, 78u=80, v=79 f(u,79)=u2+6241;↓

a=159,b=12640,c=12641

alpha/2 = 1 / 159
= 859 mod 6829

(161, 1718i) 569=1 mod 6829

12641

81, 1u=81, v=2 → 66, 47

a=6557,b=324,c=6565

alpha/2 = 79 / 83
= 906 mod 6829

(930, 3310i) 1707=1 mod 6829

5*13*101 = 6565

81, 3u=81, v=4

a=6545,b=648,c=6577

alpha/2 = 77 / 85
= 965 mod 6829

(973, 2492i) 1138=1 mod 6829

6577

81, 581, 681, 7u=81, v=8 → 73, 36

a=6497,b=1296,c=6625

alpha/2 = 73 / 89
= 2226 mod 6829

(1873, 3220i) 1138=1 mod 6829

5*5*5*53 = 6625

81, 9u=81, v=10

a=6461,b=1620,c=6661

alpha/2 = 71 / 91
= 376 mod 6829

(323, 1473i) 3414=1 mod 6829

6661

81, 1181, 1281, 13u=81, v=14 → 66, 49

a=6365,b=2268,c=6757

alpha/2 = 67 / 95
= 2301 mod 6829

(1524, 3383i) 3414=1 mod 6829

29*233 = 6757

81, 15u=81, v=16 → 79, 24

a=6305,b=2592,c=6817

alpha/2 = 65 / 97
= 4436 mod 6829

(216, 2320i) 3414=1 mod 6829

17*401 = 6817

81, 1781, 1881, 19u=81, v=20

a=6161,b=3240,c=6961

alpha/2 = 61 / 101
= 2908 mod 6829

(212, 1887i) 1707=1 mod 6829

6961

81, 21u=81, v=22 → 78, 31

a=6077,b=3564,c=7045

alpha/2 = 59 / 103
= 1857 mod 6829

(1767, 3398i) 3414=1 mod 6829

5*1409 = 7045

81, 2381, 2481, 25u=81, v=26

a=5885,b=4212,c=7237

alpha/2 = 55 / 107
= 5936 mod 6829

(935, 1818i) 1707=1 mod 6829

7237

81, 27u=81, v=28 → 64, 57 → 84, 17

a=5777,b=4536,c=7345

alpha/2 = 53 / 109
= 627 mod 6829

(2391, 2596i) 1138=1 mod 6829

5*13*113 = 7345

81, 2981, 3081, 31u=81, v=32 → 72, 49 → 87, 4

a=5537,b=5184,c=7585

alpha/2 = 49 / 113
= 6769 mod 6829

(1447, 1958i) 569=1 mod 6829

5*37*41 = 7585

81, 33u=81, v=34

a=5405,b=5508,c=7717

alpha/2 = 47 / 115
= 713 mod 6829

(2867, 3013i) 1707=1 mod 6829

7717

81, 3581, 3681, 37u=81, v=38 → 79, 42

a=5117,b=6156,c=8005

alpha/2 = 43 / 119
= 689 mod 6829

(45, 3141i) 3414=1 mod 6829

5*1601 = 8005

81, 39u=81, v=40

a=4961,b=6480,c=8161

alpha/2 = 41 / 121
= 3951 mod 6829

(268, 374i) 1707=1 mod 6829

8161

81, 4181, 4281, 43u=81, v=44 → 89, 24

a=4625,b=7128,c=8497

alpha/2 = 37 / 125
= 2568 mod 6829

(1617, 2144i) 569=1 mod 6829

29*293 = 8497

81, 45u=81, v=46

a=4445,b=7452,c=8677

alpha/2 = 35 / 127
= 2420 mod 6829

(129, 2455i) 1707=1 mod 6829

8677

81, 4781, 4881, 49u=81, v=50 → 95, 6

a=4061,b=8100,c=9061

alpha/2 = 31 / 131
= 1512 mod 6829

(2373, 2750i) 1138=1 mod 6829

13*17*41 = 9061

81, 51u=81, v=52 → 96, 7

a=3857,b=8424,c=9265

alpha/2 = 29 / 133
= 4570 mod 6829

(1544, 2847i) 1707=1 mod 6829

5*17*109 = 9265

81, 5381, 5481, 55u=81, v=56

a=3425,b=9072,c=9697

alpha/2 = 25 / 137
= 4287 mod 6829

(2218, 2597i) 3414=1 mod 6829

9697

81, 57u=81, v=58 → 94, 33

a=3197,b=9396,c=9925

alpha/2 = 23 / 139
= 6387 mod 6829

(394, 2981i) 1707=1 mod 6829

5*5*397 = 9925

81, 5981, 6081, 61u=81, v=62

a=2717,b=10044,c=10405

alpha/2 = 19 / 143
= 3343 mod 6829

(1590, 2409i) 3414=1 mod 6829

5*2081 = 10405

81, 63u=81, v=64

a=2465,b=10368,c=10657

alpha/2 = 17 / 145
= 4333 mod 6829

(875, 3053i) 1707=1 mod 6829

10657

81, 6581, 6681, 67u=81, v=68

a=1937,b=11016,c=11185

alpha/2 = 13 / 149
= 3575 mod 6829

(2062, 3158i) 1707=1 mod 6829

5*2237 = 11185

81, 69u=81, v=70

a=1661,b=11340,c=11461

alpha/2 = 11 / 151
= 588 mod 6829

(1886, 2669i) 1707=1 mod 6829

73*157 = 11461

81, 7181, 7281, 73u=81, v=74

a=1085,b=11988,c=12037

alpha/2 = 7 / 155
= 6036 mod 6829

(1992, 2158i) 1138=1 mod 6829

12037

81, 75u=81, v=76

a=785,b=12312,c=12337

alpha/2 = 5 / 157
= 435 mod 6829

(2208, 2408i) 1138=1 mod 6829

13*13*73 = 12337

81, 7781, 7881, 79u=81, v=80 f(u,80)=u2+6400;↓

a=161,b=12960,c=12961

alpha/2 = 1 / 161
= 509 mod 6829

(2568, 3282i) 569=1 mod 6829

13*997 = 12961

u=82, v=1 f(82,v)=6724+v2;→ → 79, 22

a=6723,b=164,c=6725

alpha/2 = 81 / 83
= 3868 mod 6829

(395, 1837i) 3414=1 mod 6829

5*5*269 = 6725

82, 2u=82, v=3

a=6715,b=492,c=6733

alpha/2 = 79 / 85
= 724 mod 6829

(428, 2566i) 3414=1 mod 6829

6733

82, 4u=82, v=5 → 70, 43

a=6699,b=820,c=6749

alpha/2 = 77 / 87
= 5260 mod 6829

(852, 1697i) 569=1 mod 6829

17*397 = 6749

82, 6u=82, v=7 → 73, 38

a=6675,b=1148,c=6773

alpha/2 = 75 / 89
= 6216 mod 6829

(1710, 3394i) 3414=1 mod 6829

13*521 = 6773

82, 8u=82, v=9 → 71, 42

a=6643,b=1476,c=6805

alpha/2 = 73 / 91
= 3753 mod 6829

(1715, 3353i) 3414=1 mod 6829

5*1361 = 6805

82, 10u=82, v=11 → 59, 58

a=6603,b=1804,c=6845

alpha/2 = 71 / 93
= 4480 mod 6829

(1820, 2575i) 3414=1 mod 6829

5*37*37 = 6845

82, 12u=82, v=13 → 83, 2

a=6555,b=2132,c=6893

alpha/2 = 69 / 95
= 6039 mod 6829

(2770, 3021i) 569=1 mod 6829

61*113 = 6893

82, 14u=82, v=15

a=6499,b=2460,c=6949

alpha/2 = 67 / 97
= 3732 mod 6829

(1710, 3394i) 3414=1 mod 6829

6949

82, 16u=82, v=17

a=6435,b=2788,c=7013

alpha/2 = 65 / 99
= 5657 mod 6829

(369, 2242i) 569=1 mod 6829

7013

82, 18u=82, v=19 → 61, 58 → 83, 14

a=6363,b=3116,c=7085

alpha/2 = 63 / 101
= 3787 mod 6829

(2399, 2442i) 1707=1 mod 6829

5*13*109 = 7085

82, 20u=82, v=21 → 66, 53

a=6283,b=3444,c=7165

alpha/2 = 61 / 103
= 531 mod 6829

(852, 1697i) 569=1 mod 6829

5*1433 = 7165

82, 22u=82, v=23

a=6195,b=3772,c=7253

alpha/2 = 59 / 105
= 4163 mod 6829

(2350, 2908i) 1707=1 mod 6829

7253

82, 24u=82, v=25

a=6099,b=4100,c=7349

alpha/2 = 57 / 107
= 192 mod 6829

(1446, 2356i) 3414=1 mod 6829

7349

82, 26u=82, v=27 → 78, 37

a=5995,b=4428,c=7453

alpha/2 = 55 / 109
= 2068 mod 6829

(67, 1977i) 1707=1 mod 6829

29*257 = 7453

82, 28u=82, v=29 → 62, 61 → 86, 13

a=5883,b=4756,c=7565

alpha/2 = 53 / 111
= 62 mod 6829

(1157, 3323i) 1138=1 mod 6829

5*17*89 = 7565

82, 30u=82, v=31 → 74, 47 → 86, 17

a=5763,b=5084,c=7685

alpha/2 = 51 / 113
= 3143 mod 6829

(270, 1813i) 1707=1 mod 6829

5*29*53 = 7685

82, 32u=82, v=33 → 63, 62

a=5635,b=5412,c=7813

alpha/2 = 49 / 115
= 3504 mod 6829

(2289, 3409i) 3414=1 mod 6829

13*601 = 7813

82, 34u=82, v=35

a=5499,b=5740,c=7949

alpha/2 = 47 / 117
= 2160 mod 6829

(428, 2566i) 3414=1 mod 6829

7949

82, 36u=82, v=37

a=5355,b=6068,c=8093

alpha/2 = 45 / 119
= 2468 mod 6829

(1676, 2005i) 1138=1 mod 6829

8093

82, 38u=82, v=39 → 73, 54 → 89, 18

a=5203,b=6396,c=8245

alpha/2 = 43 / 121
= 2145 mod 6829

(2345, 2947i) 1707=1 mod 6829

5*17*97 = 8245

82, 4082, 4182, 42u=82, v=43

a=4875,b=7052,c=8573

alpha/2 = 39 / 125
= 492 mod 6829

(2549, 2920i) 1138=1 mod 6829

8573

82, 44u=82, v=45 → 93, 10

a=4699,b=7380,c=8749

alpha/2 = 37 / 127
= 5485 mod 6829

(319, 1490i) 3414=1 mod 6829

13*673 = 8749

82, 46u=82, v=47

a=4515,b=7708,c=8933

alpha/2 = 35 / 129
= 4500 mod 6829

(1215, 2528i) 1707=1 mod 6829

8933

82, 48u=82, v=49 → 94, 17

a=4323,b=8036,c=9125

alpha/2 = 33 / 131
= 2711 mod 6829

(1956, 3411i) 3414=1 mod 6829

5*5*5*73 = 9125

82, 50u=82, v=51 → 93, 26

a=4123,b=8364,c=9325

alpha/2 = 31 / 133
= 411 mod 6829

(3050, 3397i) 1138=1 mod 6829

5*5*373 = 9325

82, 52u=82, v=53

a=3915,b=8692,c=9533

alpha/2 = 29 / 135
= 5514 mod 6829

(2085, 3347i) 1707=1 mod 6829

9533

82, 54u=82, v=55

a=3699,b=9020,c=9749

alpha/2 = 27 / 137
= 2991 mod 6829

(1568, 1634i) 1707=1 mod 6829

9749

82, 56u=82, v=57

a=3475,b=9348,c=9973

alpha/2 = 25 / 139
= 4864 mod 6829

(388, 2436i) 1138=1 mod 6829

9973

82, 58u=82, v=59 → 94, 37

a=3243,b=9676,c=10205

alpha/2 = 23 / 141
= 6587 mod 6829

(1079, 1858i) 569=1 mod 6829

5*13*157 = 10205

82, 60u=82, v=61 → 98, 29

a=3003,b=10004,c=10445

alpha/2 = 21 / 143
= 5492 mod 6829

(2188, 2543i) 3414=1 mod 6829

5*2089 = 10445

82, 62u=82, v=63 → 98, 33

a=2755,b=10332,c=10693

alpha/2 = 19 / 145
= 424 mod 6829

(667, 2818i) 569=1 mod 6829

17*17*37 = 10693

82, 64u=82, v=65

a=2499,b=10660,c=10949

alpha/2 = 17 / 147
= 5900 mod 6829

(1642, 2550i) 1707=1 mod 6829

10949

82, 66u=82, v=67

a=2235,b=10988,c=11213

alpha/2 = 15 / 149
= 4125 mod 6829

(837, 2850i) 1707=1 mod 6829

11213

82, 68u=82, v=69

a=1963,b=11316,c=11485

alpha/2 = 13 / 151
= 3799 mod 6829

(1036, 1539i) 569=1 mod 6829

5*2297 = 11485

82, 70u=82, v=71 → 89, 62

a=1683,b=11644,c=11765

alpha/2 = 11 / 153
= 6472 mod 6829

(2555, 2952i) 569=1 mod 6829

5*13*181 = 11765

82, 72u=82, v=73

a=1395,b=11972,c=12053

alpha/2 = 9 / 155
= 6785 mod 6829

(484, 765i) 569=1 mod 6829

17*709 = 12053

82, 74u=82, v=75

a=1099,b=12300,c=12349

alpha/2 = 7 / 157
= 609 mod 6829

(72, 2265i) 1707=1 mod 6829

53*233 = 12349

82, 76u=82, v=77

a=795,b=12628,c=12653

alpha/2 = 5 / 159
= 4295 mod 6829

(35, 2447i) 3414=1 mod 6829

12653

82, 78u=82, v=79

a=483,b=12956,c=12965

alpha/2 = 3 / 161
= 1527 mod 6829

(1034, 1418i) 569=1 mod 6829

5*2593 = 12965

82, 80u=82, v=81 f(u,81)=u2+6561;↓

a=163,b=13284,c=13285

alpha/2 = 1 / 163
= 2011 mod 6829

(2198, 3003i) 1138=1 mod 6829

5*2657 = 13285

83, 1u=83, v=2 → 82, 13

a=6885,b=332,c=6893

alpha/2 = 81 / 85
= 483 mod 6829

(432, 2560i) 3414=1 mod 6829

61*113 = 6893

83, 3u=83, v=4 → 64, 53

a=6873,b=664,c=6905

alpha/2 = 79 / 87
= 5574 mod 6829

(360, 1087i) 3414=1 mod 6829

5*1381 = 6905

83, 5u=83, v=6 → 78, 29

a=6853,b=996,c=6925

alpha/2 = 77 / 89
= 3377 mod 6829

(864, 1707i) 1707=1 mod 6829

5*5*277 = 6925

83, 7u=83, v=8 → 77, 32

a=6825,b=1328,c=6953

alpha/2 = 75 / 91
= 301 mod 6829

(231, 1542i) 3414=1 mod 6829

17*409 = 6953

83, 9u=83, v=10 → 67, 50

a=6789,b=1660,c=6989

alpha/2 = 73 / 93
= 3452 mod 6829

(864, 1707i) 1707=1 mod 6829

29*241 = 6989

83, 11u=83, v=12 → 72, 43

a=6745,b=1992,c=7033

alpha/2 = 71 / 95
= 2948 mod 6829

(803, 2420i) 3414=1 mod 6829

13*541 = 7033

83, 13u=83, v=14 → 61, 58

a=6693,b=2324,c=7085

alpha/2 = 69 / 97
= 3028 mod 6829

(756, 2348i) 3414=1 mod 6829

5*13*109 = 7085

83, 15u=83, v=16 → 76, 37

a=6633,b=2656,c=7145

alpha/2 = 67 / 99
= 5726 mod 6829

(2412, 2852i) 569=1 mod 6829

5*1429 = 7145

83, 17u=83, v=18

a=6565,b=2988,c=7213

alpha/2 = 65 / 101
= 4666 mod 6829

(648, 2987i) 569=1 mod 6829

7213

83, 19u=83, v=20 → 85, 8

a=6489,b=3320,c=7289

alpha/2 = 63 / 103
= 6034 mod 6829

(890, 2665i) 3414=1 mod 6829

37*197 = 7289

83, 21u=83, v=22 → 77, 38

a=6405,b=3652,c=7373

alpha/2 = 61 / 105
= 716 mod 6829

(3114, 3371i) 569=1 mod 6829

73*101 = 7373

83, 23u=83, v=24 → 69, 52

a=6313,b=3984,c=7465

alpha/2 = 59 / 107
= 1277 mod 6829

(1547, 1939i) 1138=1 mod 6829

5*1493 = 7465

83, 25u=83, v=26 → 62, 61 → 86, 13

a=6213,b=4316,c=7565

alpha/2 = 57 / 109
= 3509 mod 6829

(1676, 2005i) 1138=1 mod 6829

5*17*89 = 7565

83, 27u=83, v=28

a=6105,b=4648,c=7673

alpha/2 = 55 / 111
= 5476 mod 6829

(3242, 3268i) 1707=1 mod 6829

7673

83, 29u=83, v=30

a=5989,b=4980,c=7789

alpha/2 = 53 / 113
= 6346 mod 6829

(432, 2560i) 3414=1 mod 6829

7789

83, 31u=83, v=32 → 88, 13

a=5865,b=5312,c=7913

alpha/2 = 51 / 115
= 6295 mod 6829

(3050, 3397i) 1138=1 mod 6829

41*193 = 7913

83, 33u=83, v=34 → 77, 46

a=5733,b=5644,c=8045

alpha/2 = 49 / 117
= 3269 mod 6829

(1302, 1770i) 1138=1 mod 6829

5*1609 = 8045

83, 35u=83, v=36 → 88, 21

a=5593,b=5976,c=8185

alpha/2 = 47 / 119
= 4247 mod 6829

(1446, 2356i) 3414=1 mod 6829

5*1637 = 8185

83, 37u=83, v=38 → 67, 62

a=5445,b=6308,c=8333

alpha/2 = 45 / 121
= 339 mod 6829

(326, 1249i) 1138=1 mod 6829

13*641 = 8333

83, 39u=83, v=40 → 92, 5

a=5289,b=6640,c=8489

alpha/2 = 43 / 123
= 1777 mod 6829

(4, 2056i) 3414=1 mod 6829

13*653 = 8489

83, 41u=83, v=42 → 93, 2

a=5125,b=6972,c=8653

alpha/2 = 41 / 125
= 5245 mod 6829

(1756, 3144i) 1138=1 mod 6829

17*509 = 8653

83, 43u=83, v=44 → 92, 19

a=4953,b=7304,c=8825

alpha/2 = 39 / 127
= 1721 mod 6829

(2186, 2394i) 3414=1 mod 6829

5*5*353 = 8825

83, 45u=83, v=46 → 94, 13

a=4773,b=7636,c=9005

alpha/2 = 37 / 129
= 2806 mod 6829

(928, 2118i) 1707=1 mod 6829

5*1801 = 9005

83, 47u=83, v=48 → 92, 27

a=4585,b=7968,c=9193

alpha/2 = 35 / 131
= 3910 mod 6829

(766, 1039i) 1707=1 mod 6829

29*317 = 9193

83, 49u=83, v=50 → 70, 67

a=4389,b=8300,c=9389

alpha/2 = 33 / 133
= 3081 mod 6829

(270, 1813i) 1707=1 mod 6829

41*229 = 9389

83, 51u=83, v=52 → 88, 43

a=4185,b=8632,c=9593

alpha/2 = 31 / 135
= 2833 mod 6829

(1009, 2853i) 3414=1 mod 6829

53*181 = 9593

83, 53u=83, v=54 → 78, 61 → 99, 2

a=3973,b=8964,c=9805

alpha/2 = 29 / 137
= 1695 mod 6829

(1132, 1486i) 1707=1 mod 6829

5*37*53 = 9805

83, 55u=83, v=56 → 77, 64

a=3753,b=9296,c=10025

alpha/2 = 27 / 139
= 3341 mod 6829

(1358, 2621i) 1138=1 mod 6829

5*5*401 = 10025

83, 57u=83, v=58

a=3525,b=9628,c=10253

alpha/2 = 25 / 141
= 3003 mod 6829

(2887, 3170i) 1707=1 mod 6829

10253

83, 59u=83, v=60 → 92, 45

a=3289,b=9960,c=10489

alpha/2 = 23 / 143
= 812 mod 6829

(2350, 2908i) 1707=1 mod 6829

17*617 = 10489

83, 61u=83, v=62

a=3045,b=10292,c=10733

alpha/2 = 21 / 145
= 3344 mod 6829

(69, 1451i) 569=1 mod 6829

10733

83, 63u=83, v=64

a=2793,b=10624,c=10985

alpha/2 = 19 / 147
= 5389 mod 6829

(2122, 3118i) 569=1 mod 6829

5*13*13*13 = 10985

83, 65u=83, v=66 → 99, 38

a=2533,b=10956,c=11245

alpha/2 = 17 / 149
= 4675 mod 6829

(335, 2285i) 1138=1 mod 6829

5*13*173 = 11245

83, 67u=83, v=68

a=2265,b=11288,c=11513

alpha/2 = 15 / 151
= 181 mod 6829

(954, 1768i) 1138=1 mod 6829

29*397 = 11513

83, 69u=83, v=70

a=1989,b=11620,c=11789

alpha/2 = 13 / 153
= 3303 mod 6829

(2257, 2398i) 1138=1 mod 6829

11789

83, 71u=83, v=72

a=1705,b=11952,c=12073

alpha/2 = 11 / 155
= 705 mod 6829

(796, 1201i) 569=1 mod 6829

12073

83, 73u=83, v=74

a=1413,b=12284,c=12365

alpha/2 = 9 / 157
= 783 mod 6829

(601, 619i) 1707=1 mod 6829

5*2473 = 12365

83, 75u=83, v=76

a=1113,b=12616,c=12665

alpha/2 = 7 / 159
= 6013 mod 6829

(1851, 2023i) 1707=1 mod 6829

5*17*149 = 12665

83, 77u=83, v=78

a=805,b=12948,c=12973

alpha/2 = 5 / 161
= 2545 mod 6829

(1893, 3239i) 3414=1 mod 6829

12973

83, 79u=83, v=80

a=489,b=13280,c=13289

alpha/2 = 3 / 163
= 6033 mod 6829

(887, 2666i) 1707=1 mod 6829

97*137 = 13289

83, 81u=83, v=82 f(u,82)=u2+6724;↓

a=165,b=13612,c=13613

alpha/2 = 1 / 165
= 4801 mod 6829

(606, 2280i) 1138=1 mod 6829

13613

u=84, v=1 f(84,v)=7056+v2;→

a=7055,b=168,c=7057

alpha/2 = 83 / 85
= 242 mod 6829

(1079, 1858i) 569=1 mod 6829

7057

84, 284, 384, 4u=84, v=5 → 60, 59

a=7031,b=840,c=7081

alpha/2 = 79 / 89
= 538 mod 6829

(55, 2273i) 569=1 mod 6829

73*97 = 7081

84, 684, 784, 884, 984, 10u=84, v=11

a=6935,b=1848,c=7177

alpha/2 = 73 / 95
= 6686 mod 6829

(746, 2585i) 3414=1 mod 6829

7177

84, 12u=84, v=13 → 77, 36

a=6887,b=2184,c=7225

alpha/2 = 71 / 97
= 2324 mod 6829

(1207, 1650i) 1707=1 mod 6829

5*5*17*17 = 7225

84, 1484, 1584, 16u=84, v=17 → 64, 57

a=6767,b=2856,c=7345

alpha/2 = 67 / 101
= 5545 mod 6829

(2885, 3023i) 1707=1 mod 6829

5*13*113 = 7345

84, 18u=84, v=19

a=6695,b=3192,c=7417

alpha/2 = 65 / 103
= 4708 mod 6829

(23, 981i) 569=1 mod 6829

7417

84, 2084, 2184, 22u=84, v=23 → 72, 49 → 87, 4

a=6527,b=3864,c=7585

alpha/2 = 61 / 107
= 2362 mod 6829

(2294, 3030i) 569=1 mod 6829

5*37*41 = 7585

84, 24u=84, v=25

a=6431,b=4200,c=7681

alpha/2 = 59 / 109
= 4950 mod 6829

(1331, 1534i) 3414=1 mod 6829

7681

84, 2684, 2784, 28u=84, v=29 → 69, 56

a=6215,b=4872,c=7897

alpha/2 = 55 / 113
= 2720 mod 6829

(2681, 3057i) 1707=1 mod 6829

53*149 = 7897

84, 30u=84, v=31

a=6095,b=5208,c=8017

alpha/2 = 53 / 115
= 2257 mod 6829

(403, 1315i) 1707=1 mod 6829

8017

84, 3284, 3384, 3484, 3584, 36u=84, v=37 → 91, 12

a=5687,b=6216,c=8425

alpha/2 = 47 / 121
= 5362 mod 6829

(711, 1801i) 1138=1 mod 6829

5*5*337 = 8425

84, 3884, 3984, 40u=84, v=41

a=5375,b=6888,c=8737

alpha/2 = 43 / 125
= 3169 mod 6829

(509, 1378i) 1138=1 mod 6829

8737

84, 42u=84, v=43 → 72, 61 → 93, 16

a=5207,b=7224,c=8905

alpha/2 = 41 / 127
= 4786 mod 6829

(786, 1060i) 569=1 mod 6829

5*13*137 = 8905

84, 4484, 4584, 46u=84, v=47 → 81, 52 → 96, 7

a=4847,b=7896,c=9265

alpha/2 = 37 / 131
= 5109 mod 6829

(2821, 3300i) 3414=1 mod 6829

5*17*109 = 9265

84, 4884, 4984, 5084, 5184, 52u=84, v=53 → 99, 8

a=4247,b=8904,c=9865

alpha/2 = 31 / 137
= 399 mod 6829

(2217, 3188i) 1138=1 mod 6829

5*1973 = 9865

84, 54u=84, v=55

a=4031,b=9240,c=10081

alpha/2 = 29 / 139
= 1818 mod 6829

(1414, 2063i) 569=1 mod 6829

17*593 = 10081

84, 5684, 5784, 58u=84, v=59 → 76, 69

a=3575,b=9912,c=10537

alpha/2 = 25 / 143
= 2961 mod 6829

(395, 1837i) 3414=1 mod 6829

41*257 = 10537

84, 60u=84, v=61

a=3335,b=10248,c=10777

alpha/2 = 23 / 145
= 6264 mod 6829

(288, 1741i) 3414=1 mod 6829

13*829 = 10777

84, 6284, 6384, 64u=84, v=65

a=2831,b=10920,c=11281

alpha/2 = 19 / 149
= 5225 mod 6829

(389, 2708i) 569=1 mod 6829

29*389 = 11281

84, 66u=84, v=67

a=2567,b=11256,c=11545

alpha/2 = 17 / 151
= 3392 mod 6829

(1492, 2817i) 1707=1 mod 6829

5*2309 = 11545

84, 6884, 6984, 70u=84, v=71

a=2015,b=11928,c=12097

alpha/2 = 13 / 155
= 1454 mod 6829

(745, 2580i) 569=1 mod 6829

12097

84, 72u=84, v=73

a=1727,b=12264,c=12385

alpha/2 = 11 / 157
= 957 mod 6829

(1093, 1163i) 1138=1 mod 6829

5*2477 = 12385

84, 7484, 7584, 7684, 7784, 78u=84, v=79

a=815,b=13272,c=13297

alpha/2 = 5 / 163
= 3226 mod 6829

(622, 1155i) 1707=1 mod 6829

13297

84, 8084, 8184, 82u=84, v=83 f(u,83)=u2+6889;↓

a=167,b=13944,c=13945

alpha/2 = 1 / 167
= 2658 mod 6829

(1784, 2547i) 569=1 mod 6829

5*2789 = 13945

85, 1u=85, v=2

a=7221,b=340,c=7229

alpha/2 = 83 / 87
= 6202 mod 6829

(2391, 2596i) 1138=1 mod 6829

7229

85, 3u=85, v=4 → 80, 29

a=7209,b=680,c=7241

alpha/2 = 81 / 89
= 4528 mod 6829

(1524, 3383i) 3414=1 mod 6829

13*557 = 7241

85, 5u=85, v=6 → 69, 50

a=7189,b=1020,c=7261

alpha/2 = 79 / 91
= 226 mod 6829

(1139, 2089i) 1707=1 mod 6829

53*137 = 7261

85, 7u=85, v=8 → 83, 20

a=7161,b=1360,c=7289

alpha/2 = 77 / 93
= 1396 mod 6829

(3148, 3269i) 1138=1 mod 6829

37*197 = 7289

85, 985, 1085, 11u=85, v=12

a=7081,b=2040,c=7369

alpha/2 = 73 / 97
= 1620 mod 6829

(755, 911i) 3414=1 mod 6829

7369

85, 13u=85, v=14 → 86, 5

a=7029,b=2380,c=7421

alpha/2 = 71 / 99
= 5864 mod 6829

(973, 2492i) 1138=1 mod 6829

41*181 = 7421

85, 15u=85, v=16

a=6969,b=2720,c=7481

alpha/2 = 69 / 101
= 6424 mod 6829

(1680, 2095i) 3414=1 mod 6829

7481

85, 17u=85, v=18

a=6901,b=3060,c=7549

alpha/2 = 67 / 103
= 3382 mod 6829

(683, 1703i) 569=1 mod 6829

7549

85, 1985, 2085, 21u=85, v=22 → 70, 53

a=6741,b=3740,c=7709

alpha/2 = 63 / 107
= 3447 mod 6829

(683, 1703i) 569=1 mod 6829

13*593 = 7709

85, 23u=85, v=24 → 76, 45

a=6649,b=4080,c=7801

alpha/2 = 61 / 109
= 6391 mod 6829

(2782, 2955i) 569=1 mod 6829

29*269 = 7801

85, 25u=85, v=26

a=6549,b=4420,c=7901

alpha/2 = 59 / 111
= 2646 mod 6829

(357, 2221i) 1707=1 mod 6829

7901

85, 27u=85, v=28

a=6441,b=4760,c=8009

alpha/2 = 57 / 113
= 5923 mod 6829

(930, 3310i) 1707=1 mod 6829

8009

85, 2985, 3085, 31u=85, v=32 → 80, 43

a=6201,b=5440,c=8249

alpha/2 = 53 / 117
= 5487 mod 6829

(442, 958i) 3414=1 mod 6829

73*113 = 8249

85, 3385, 3485, 35u=85, v=36

a=5929,b=6120,c=8521

alpha/2 = 49 / 121
= 3556 mod 6829

(1166, 2180i) 3414=1 mod 6829

8521

85, 37u=85, v=38

a=5781,b=6460,c=8669

alpha/2 = 47 / 123
= 3054 mod 6829

(813, 921i) 569=1 mod 6829

8669

85, 3985, 4085, 41u=85, v=42 → 75, 58

a=5461,b=7140,c=8989

alpha/2 = 43 / 127
= 1022 mod 6829

(193, 227i) 3414=1 mod 6829

89*101 = 8989

85, 43u=85, v=44

a=5289,b=7480,c=9161

alpha/2 = 41 / 129
= 6247 mod 6829

(1034, 1418i) 569=1 mod 6829

9161

85, 45u=85, v=46

a=5109,b=7820,c=9341

alpha/2 = 39 / 131
= 6308 mod 6829

(160, 891i) 569=1 mod 6829

9341

85, 47u=85, v=48 → 77, 60

a=4921,b=8160,c=9529

alpha/2 = 37 / 133
= 1592 mod 6829

(604, 2913i) 3414=1 mod 6829

13*733 = 9529

85, 4985, 5085, 51u=85, v=52

a=4521,b=8840,c=9929

alpha/2 = 33 / 137
= 5932 mod 6829

(1633, 2537i) 3414=1 mod 6829

9929

85, 53u=85, v=54

a=4309,b=9180,c=10141

alpha/2 = 31 / 139
= 295 mod 6829

(77, 2523i) 569=1 mod 6829

10141

85, 55u=85, v=56

a=4089,b=9520,c=10361

alpha/2 = 29 / 141
= 2664 mod 6829

(1331, 1534i) 3414=1 mod 6829

13*797 = 10361

85, 57u=85, v=58

a=3861,b=9860,c=10589

alpha/2 = 27 / 143
= 5110 mod 6829

(179, 1323i) 3414=1 mod 6829

10589

85, 5985, 6085, 61u=85, v=62

a=3381,b=10540,c=11069

alpha/2 = 23 / 147
= 4367 mod 6829

(223, 244i) 569=1 mod 6829

11069

85, 63u=85, v=64

a=3129,b=10880,c=11321

alpha/2 = 21 / 149
= 5775 mod 6829

(1305, 1787i) 1707=1 mod 6829

11321

85, 65u=85, v=66 → 90, 59

a=2869,b=11220,c=11581

alpha/2 = 19 / 151
= 6603 mod 6829

(1139, 2089i) 1707=1 mod 6829

37*313 = 11581

85, 6785, 6885, 6985, 7085, 71u=85, v=72

a=2041,b=12240,c=12409

alpha/2 = 13 / 157
= 1131 mod 6829

(1409, 2421i) 1707=1 mod 6829

12409

85, 73u=85, v=74

a=1749,b=12580,c=12701

alpha/2 = 11 / 159
= 2620 mod 6829

(1728, 2353i) 1707=1 mod 6829

13*977 = 12701

85, 75u=85, v=76

a=1449,b=12920,c=13001

alpha/2 = 9 / 161
= 4581 mod 6829

(1215, 2528i) 1707=1 mod 6829

13001

85, 77u=85, v=78

a=1141,b=13260,c=13309

alpha/2 = 7 / 163
= 419 mod 6829

(75, 2721i) 1707=1 mod 6829

13309

85, 7985, 8085, 81u=85, v=82

a=501,b=13940,c=13949

alpha/2 = 3 / 167
= 1145 mod 6829

(1057, 2677i) 569=1 mod 6829

13*29*37 = 13949

85, 83u=85, v=84 f(u,84)=u2+7056;↓

a=169,b=14280,c=14281

alpha/2 = 1 / 169
= 4849 mod 6829

(284, 362i) 1707=1 mod 6829

14281

u=86, v=1 f(86,v)=7396+v2;→ → 79, 34

a=7395,b=172,c=7397

alpha/2 = 85 / 87
= 6516 mod 6829

(2260, 3149i) 1138=1 mod 6829

13*569 = 7397

86, 2u=86, v=3 → 67, 54

a=7387,b=516,c=7405

alpha/2 = 83 / 89
= 1689 mod 6829

(995, 1068i) 3414=1 mod 6829

5*1481 = 7405

86, 4u=86, v=5 → 85, 14

a=7371,b=860,c=7421

alpha/2 = 81 / 91
= 3603 mod 6829

(622, 1155i) 1707=1 mod 6829

41*181 = 7421

86, 6u=86, v=7 → 73, 46

a=7347,b=1204,c=7445

alpha/2 = 79 / 93
= 368 mod 6829

(1396, 1554i) 3414=1 mod 6829

5*1489 = 7445

86, 8u=86, v=9

a=7315,b=1548,c=7477

alpha/2 = 77 / 95
= 504 mod 6829

(377, 1708i) 1707=1 mod 6829

7477

86, 10u=86, v=11

a=7275,b=1892,c=7517

alpha/2 = 75 / 97
= 916 mod 6829

(1710, 3394i) 3414=1 mod 6829

7517

86, 12u=86, v=13 → 62, 61

a=7227,b=2236,c=7565

alpha/2 = 73 / 99
= 5933 mod 6829

(2267, 2914i) 3414=1 mod 6829

5*17*89 = 7565

86, 14u=86, v=15

a=7171,b=2580,c=7621

alpha/2 = 71 / 101
= 474 mod 6829

(1086, 2590i) 1138=1 mod 6829

7621

86, 16u=86, v=17 → 74, 47

a=7107,b=2924,c=7685

alpha/2 = 69 / 103
= 2056 mod 6829

(1950, 2633i) 3414=1 mod 6829

5*29*53 = 7685

86, 18u=86, v=19

a=7035,b=3268,c=7757

alpha/2 = 67 / 105
= 4033 mod 6829

(898, 2263i) 569=1 mod 6829

7757

86, 20u=86, v=21 → 66, 59

a=6955,b=3612,c=7837

alpha/2 = 65 / 107
= 4532 mod 6829

(2561, 2849i) 1707=1 mod 6829

17*461 = 7837

86, 22u=86, v=23 → 89, 2

a=6867,b=3956,c=7925

alpha/2 = 63 / 109
= 1003 mod 6829

(527, 3078i) 1138=1 mod 6829

5*5*317 = 7925

86, 24u=86, v=25 → 89, 10

a=6771,b=4300,c=8021

alpha/2 = 61 / 111
= 1231 mod 6829

(989, 3128i) 1707=1 mod 6829

13*617 = 8021

86, 26u=86, v=27 → 69, 58

a=6667,b=4644,c=8125

alpha/2 = 59 / 113
= 2297 mod 6829

(2561, 2849i) 1707=1 mod 6829

5*5*5*5*13 = 8125

86, 28u=86, v=29

a=6555,b=4988,c=8237

alpha/2 = 57 / 115
= 1010 mod 6829

(1963, 3230i) 1707=1 mod 6829

8237

86, 30u=86, v=31 → 79, 46

a=6435,b=5332,c=8357

alpha/2 = 55 / 117
= 6596 mod 6829

(1237, 1636i) 569=1 mod 6829

61*137 = 8357

86, 32u=86, v=33 → 78, 49

a=6307,b=5676,c=8485

alpha/2 = 53 / 119
= 2755 mod 6829

(223, 244i) 569=1 mod 6829

5*1697 = 8485

86, 34u=86, v=35 → 70, 61

a=6171,b=6020,c=8621

alpha/2 = 51 / 121
= 1750 mod 6829

(2024, 2828i) 1138=1 mod 6829

37*233 = 8621

86, 36u=86, v=37 → 91, 22

a=6027,b=6364,c=8765

alpha/2 = 49 / 123
= 278 mod 6829

(1728, 2353i) 1707=1 mod 6829

5*1753 = 8765

86, 38u=86, v=39 → 94, 9

a=5875,b=6708,c=8917

alpha/2 = 47 / 125
= 5846 mod 6829

(507, 1119i) 3414=1 mod 6829

37*241 = 8917

86, 40u=86, v=41 → 89, 34

a=5715,b=7052,c=9077

alpha/2 = 45 / 127
= 4087 mod 6829

(200, 2081i) 3414=1 mod 6829

29*313 = 9077

86, 4286, 4386, 44u=86, v=45

a=5371,b=7740,c=9421

alpha/2 = 41 / 131
= 678 mod 6829

(1236, 1281i) 569=1 mod 6829

9421

86, 46u=86, v=47 → 79, 58 → 98, 1

a=5187,b=8084,c=9605

alpha/2 = 39 / 133
= 4262 mod 6829

(1351, 1452i) 569=1 mod 6829

5*17*113 = 9605

86, 48u=86, v=49 → 94, 31

a=4995,b=8428,c=9797

alpha/2 = 37 / 135
= 1619 mod 6829

(2000, 2673i) 3414=1 mod 6829

97*101 = 9797

86, 50u=86, v=51 → 99, 14

a=4795,b=8772,c=9997

alpha/2 = 35 / 137
= 4636 mod 6829

(1213, 1435i) 1707=1 mod 6829

13*769 = 9997

86, 52u=86, v=53 → 82, 59 → 94, 37

a=4587,b=9116,c=10205

alpha/2 = 33 / 139
= 5601 mod 6829

(1832, 2956i) 3414=1 mod 6829

5*13*157 = 10205

86, 54u=86, v=55 → 89, 50

a=4371,b=9460,c=10421

alpha/2 = 31 / 141
= 5909 mod 6829

(514, 1678i) 569=1 mod 6829

17*613 = 10421

86, 56u=86, v=57

a=4147,b=9804,c=10645

alpha/2 = 29 / 143
= 430 mod 6829

(792, 1320i) 3414=1 mod 6829

5*2129 = 10645

86, 58u=86, v=59

a=3915,b=10148,c=10877

alpha/2 = 27 / 145
= 5275 mod 6829

(529, 2587i) 1138=1 mod 6829

73*149 = 10877

86, 60u=86, v=61

a=3675,b=10492,c=11117

alpha/2 = 25 / 147
= 3856 mod 6829

(442, 958i) 3414=1 mod 6829

11117

86, 62u=86, v=63

a=3427,b=10836,c=11365

alpha/2 = 23 / 149
= 6325 mod 6829

(377, 1708i) 1707=1 mod 6829

5*2273 = 11365

86, 64u=86, v=65

a=3171,b=11180,c=11621

alpha/2 = 21 / 151
= 2985 mod 6829

(562, 1480i) 1707=1 mod 6829

11621

86, 66u=86, v=67

a=2907,b=11524,c=11885

alpha/2 = 19 / 153
= 625 mod 6829

(553, 2655i) 3414=1 mod 6829

5*2377 = 11885

86, 68u=86, v=69

a=2635,b=11868,c=12157

alpha/2 = 17 / 155
= 2952 mod 6829

(70, 1771i) 569=1 mod 6829

12157

86, 70u=86, v=71

a=2355,b=12212,c=12437

alpha/2 = 15 / 157
= 1305 mod 6829

(1123, 2804i) 3414=1 mod 6829

12437

86, 72u=86, v=73

a=2067,b=12556,c=12725

alpha/2 = 13 / 159
= 4338 mod 6829

(1166, 2180i) 3414=1 mod 6829

5*5*509 = 12725

86, 74u=86, v=75

a=1771,b=12900,c=13021

alpha/2 = 11 / 161
= 5599 mod 6829

(378, 567i) 1707=1 mod 6829

29*449 = 13021

86, 76u=86, v=77 → 98, 61

a=1467,b=13244,c=13325

alpha/2 = 9 / 163
= 4441 mod 6829

(1103, 2029i) 569=1 mod 6829

5*5*13*41 = 13325

86, 78u=86, v=79

a=1155,b=13588,c=13637

alpha/2 = 7 / 165
= 6291 mod 6829

(55, 2273i) 569=1 mod 6829

13*1049 = 13637

86, 80u=86, v=81

a=835,b=13932,c=13957

alpha/2 = 5 / 167
= 6461 mod 6829

(1396, 1554i) 3414=1 mod 6829

17*821 = 13957

86, 82u=86, v=83

a=507,b=14276,c=14285

alpha/2 = 3 / 169
= 889 mod 6829

(785, 1306i) 3414=1 mod 6829

5*2857 = 14285

86, 84u=86, v=85 f(u,85)=u2+7225;↓

a=171,b=14620,c=14621

alpha/2 = 1 / 171
= 5591 mod 6829

(64, 2715i) 3414=1 mod 6829

14621

87, 1u=87, v=2

a=7565,b=348,c=7573

alpha/2 = 85 / 89
= 5679 mod 6829

(515, 1872i) 3414=1 mod 6829

7573

87, 3u=87, v=4 → 72, 49

a=7553,b=696,c=7585

alpha/2 = 83 / 91
= 151 mod 6829

(832, 2709i) 1707=1 mod 6829

5*37*41 = 7585

87, 587, 687, 7u=87, v=8 → 73, 48

a=7505,b=1392,c=7633

alpha/2 = 79 / 95
= 4242 mod 6829

(1731, 2515i) 3414=1 mod 6829

17*449 = 7633

87, 9u=87, v=10

a=7469,b=1740,c=7669

alpha/2 = 77 / 97
= 212 mod 6829

(1300, 2441i) 3414=1 mod 6829

7669

87, 1187, 1287, 13u=87, v=14 → 78, 41

a=7373,b=2436,c=7765

alpha/2 = 73 / 101
= 1353 mod 6829

(3242, 3268i) 1707=1 mod 6829

5*1553 = 7765

87, 15u=87, v=16 → 88, 9

a=7313,b=2784,c=7825

alpha/2 = 71 / 103
= 730 mod 6829

(549, 2142i) 569=1 mod 6829

5*5*313 = 7825

87, 1787, 1887, 19u=87, v=20 → 88, 15

a=7169,b=3480,c=7969

alpha/2 = 67 / 107
= 5617 mod 6829

(1677, 2519i) 3414=1 mod 6829

13*613 = 7969

87, 21u=87, v=22

a=7085,b=3828,c=8053

alpha/2 = 65 / 109
= 2444 mod 6829

(1543, 2901i) 3414=1 mod 6829

8053

87, 2387, 2487, 25u=87, v=26 → 73, 54 → 89, 18

a=6893,b=4524,c=8245

alpha/2 = 61 / 113
= 5500 mod 6829

(1913, 3318i) 1138=1 mod 6829

5*17*97 = 8245

87, 27u=87, v=28

a=6785,b=4872,c=8353

alpha/2 = 59 / 115
= 3801 mod 6829

(756, 2348i) 3414=1 mod 6829

8353

87, 2987, 3087, 31u=87, v=32 → 68, 63

a=6545,b=5568,c=8593

alpha/2 = 55 / 119
= 4534 mod 6829

(356, 2459i) 1707=1 mod 6829

13*661 = 8593

87, 33u=87, v=34 → 74, 57

a=6413,b=5916,c=8725

alpha/2 = 53 / 121
= 6773 mod 6829

(565, 2449i) 3414=1 mod 6829

5*5*349 = 8725

87, 3587, 3687, 37u=87, v=38

a=6125,b=6612,c=9013

alpha/2 = 49 / 125
= 3770 mod 6829

(550, 2517i) 1138=1 mod 6829

9013

87, 39u=87, v=40 → 95, 12

a=5969,b=6960,c=9169

alpha/2 = 47 / 127
= 323 mod 6829

(58, 1754i) 1707=1 mod 6829

53*173 = 9169

87, 4187, 4287, 43u=87, v=44 → 96, 17

a=5633,b=7656,c=9505

alpha/2 = 43 / 131
= 1877 mod 6829

(2024, 2828i) 1138=1 mod 6829

5*1901 = 9505

87, 45u=87, v=46 → 73, 66 → 98, 9

a=5453,b=8004,c=9685

alpha/2 = 41 / 133
= 103 mod 6829

(1294, 3195i) 1138=1 mod 6829

5*13*149 = 9685

87, 4787, 4887, 49u=87, v=50

a=5069,b=8700,c=10069

alpha/2 = 37 / 137
= 3340 mod 6829

(421, 635i) 1138=1 mod 6829

10069

87, 51u=87, v=52

a=4865,b=9048,c=10273

alpha/2 = 35 / 139
= 4078 mod 6829

(735, 2150i) 3414=1 mod 6829

10273

87, 5387, 5487, 55u=87, v=56 → 97, 36

a=4433,b=9744,c=10705

alpha/2 = 31 / 143
= 2579 mod 6829

(2318, 2746i) 1707=1 mod 6829

5*2141 = 10705

87, 5787, 5887, 5987, 6087, 61u=87, v=62 → 78, 73

a=3725,b=10788,c=11413

alpha/2 = 25 / 149
= 46 mod 6829

(199, 2371i) 1707=1 mod 6829

101*113 = 11413

87, 63u=87, v=64

a=3473,b=11136,c=11665

alpha/2 = 23 / 151
= 6196 mod 6829

(1129, 2387i) 569=1 mod 6829

5*2333 = 11665

87, 6587, 6687, 67u=87, v=68

a=2945,b=11832,c=12193

alpha/2 = 19 / 155
= 3701 mod 6829

(670, 2958i) 1138=1 mod 6829

89*137 = 12193

87, 69u=87, v=70

a=2669,b=12180,c=12469

alpha/2 = 17 / 157
= 1479 mod 6829

(656, 1985i) 1707=1 mod 6829

37*337 = 12469

87, 7187, 7287, 73u=87, v=74

a=2093,b=12876,c=13045

alpha/2 = 13 / 161
= 6617 mod 6829

(1300, 2441i) 3414=1 mod 6829

5*2609 = 13045

87, 75u=87, v=76

a=1793,b=13224,c=13345

alpha/2 = 11 / 163
= 1634 mod 6829

(93, 1725i) 569=1 mod 6829

5*17*157 = 13345

87, 7787, 7887, 79u=87, v=80

a=1169,b=13920,c=13969

alpha/2 = 7 / 167
= 4948 mod 6829

(1453, 1494i) 3414=1 mod 6829

61*229 = 13969

87, 81u=87, v=82

a=845,b=14268,c=14293

alpha/2 = 5 / 169
= 3758 mod 6829

(2582, 2905i) 3414=1 mod 6829

14293

87, 8387, 8487, 85u=87, v=86 f(u,86)=u2+7396;↓

a=173,b=14964,c=14965

alpha/2 = 1 / 173
= 6079 mod 6829

(2345, 2947i) 1707=1 mod 6829

5*41*73 = 14965

u=88, v=1 f(88,v)=7744+v2;→ → 71, 52

a=7743,b=176,c=7745

alpha/2 = 87 / 89
= 2840 mod 6829

(865, 1000i) 569=1 mod 6829

5*1549 = 7745

88, 2u=88, v=3

a=7735,b=528,c=7753

alpha/2 = 85 / 91
= 3528 mod 6829

(975, 1285i) 1138=1 mod 6829

7753

88, 4u=88, v=5 → 80, 37

a=7719,b=880,c=7769

alpha/2 = 83 / 93
= 5141 mod 6829

(217, 2471i) 1707=1 mod 6829

17*457 = 7769

88, 6u=88, v=7

a=7695,b=1232,c=7793

alpha/2 = 81 / 95
= 1151 mod 6829

(568, 665i) 1138=1 mod 6829

7793

88, 8u=88, v=9 → 87, 16

a=7663,b=1584,c=7825

alpha/2 = 79 / 97
= 6337 mod 6829

(2549, 2920i) 1138=1 mod 6829

5*5*313 = 7825

88, 1088, 1188, 12u=88, v=13 → 83, 32

a=7575,b=2288,c=7913

alpha/2 = 75 / 101
= 2232 mod 6829

(3012, 3047i) 3414=1 mod 6829

41*193 = 7913

88, 14u=88, v=15 → 87, 20

a=7519,b=2640,c=7969

alpha/2 = 73 / 103
= 6233 mod 6829

(1440, 1618i) 569=1 mod 6829

13*613 = 7969

88, 16u=88, v=17 → 73, 52

a=7455,b=2992,c=8033

alpha/2 = 71 / 105
= 3968 mod 6829

(1237, 1636i) 569=1 mod 6829

29*277 = 8033

88, 18u=88, v=19 → 68, 59

a=7383,b=3344,c=8105

alpha/2 = 69 / 107
= 6702 mod 6829

(1651, 1895i) 1707=1 mod 6829

5*1621 = 8105

88, 20u=88, v=21 → 83, 36

a=7303,b=3696,c=8185

alpha/2 = 67 / 109
= 3885 mod 6829

(91, 1574i) 1707=1 mod 6829

5*1637 = 8185

88, 22u=88, v=23

a=7215,b=4048,c=8273

alpha/2 = 65 / 111
= 5230 mod 6829

(1996, 2462i) 569=1 mod 6829

8273

88, 24u=88, v=25

a=7119,b=4400,c=8369

alpha/2 = 63 / 113
= 1874 mod 6829

(1954, 3326i) 3414=1 mod 6829

8369

88, 26u=88, v=27 → 92, 3

a=7015,b=4752,c=8473

alpha/2 = 61 / 115
= 6592 mod 6829

(2894, 3215i) 1707=1 mod 6829

37*229 = 8473

88, 28u=88, v=29 → 67, 64 → 92, 11

a=6903,b=5104,c=8585

alpha/2 = 59 / 117
= 1985 mod 6829

(1086, 2590i) 1138=1 mod 6829

5*17*101 = 8585

88, 30u=88, v=31 → 89, 28

a=6783,b=5456,c=8705

alpha/2 = 57 / 119
= 6313 mod 6829

(1293, 2570i) 3414=1 mod 6829

5*1741 = 8705

88, 3288, 3388, 34u=88, v=35

a=6519,b=6160,c=8969

alpha/2 = 53 / 123
= 1555 mod 6829

(3194, 3287i) 1707=1 mod 6829

8969

88, 36u=88, v=37 → 68, 67

a=6375,b=6512,c=9113

alpha/2 = 51 / 125
= 1694 mod 6829

(1229, 2613i) 1707=1 mod 6829

13*701 = 9113

88, 38u=88, v=39 → 81, 52 → 96, 7

a=6223,b=6864,c=9265

alpha/2 = 49 / 127
= 3388 mod 6829

(959, 1511i) 3414=1 mod 6829

5*17*109 = 9265

88, 40u=88, v=41 → 73, 64 → 97, 4

a=6063,b=7216,c=9425

alpha/2 = 47 / 129
= 1165 mod 6829

(813, 921i) 569=1 mod 6829

5*5*13*29 = 9425

88, 42u=88, v=43 → 83, 52

a=5895,b=7568,c=9593

alpha/2 = 45 / 131
= 3076 mod 6829

(1715, 3353i) 3414=1 mod 6829

53*181 = 9593

88, 44u=88, v=45

a=5719,b=7920,c=9769

alpha/2 = 43 / 133
= 2773 mod 6829

(1185, 1257i) 1707=1 mod 6829

9769

88, 46u=88, v=47 → 73, 68

a=5535,b=8272,c=9953

alpha/2 = 41 / 135
= 3086 mod 6829

(863, 3178i) 1707=1 mod 6829

37*269 = 9953

88, 48u=88, v=49 → 92, 41

a=5343,b=8624,c=10145

alpha/2 = 39 / 137
= 2044 mod 6829

(1783, 2235i) 1707=1 mod 6829

5*2029 = 10145

88, 50u=88, v=51

a=5143,b=8976,c=10345

alpha/2 = 37 / 139
= 2555 mod 6829

(2506, 2771i) 1707=1 mod 6829

5*2069 = 10345

88, 52u=88, v=53 → 77, 68

a=4935,b=9328,c=10553

alpha/2 = 35 / 141
= 5570 mod 6829

(2014, 2066i) 3414=1 mod 6829

61*173 = 10553

88, 5488, 5588, 56u=88, v=57

a=4495,b=10032,c=10993

alpha/2 = 31 / 145
= 4286 mod 6829

(88, 1572i) 569=1 mod 6829

10993

88, 58u=88, v=59

a=4263,b=10384,c=11225

alpha/2 = 29 / 147
= 2834 mod 6829

(1295, 2856i) 1138=1 mod 6829

5*5*449 = 11225

88, 60u=88, v=61

a=4023,b=10736,c=11465

alpha/2 = 27 / 149
= 596 mod 6829

(1440, 1618i) 569=1 mod 6829

5*2293 = 11465

88, 62u=88, v=63 → 97, 48

a=3775,b=11088,c=11713

alpha/2 = 25 / 151
= 2578 mod 6829

(736, 3197i) 3414=1 mod 6829

13*17*53 = 11713

88, 64u=88, v=65

a=3519,b=11440,c=11969

alpha/2 = 23 / 153
= 1116 mod 6829

(2872, 3362i) 1707=1 mod 6829

11969

88, 66u=88, v=67

a=3255,b=11792,c=12233

alpha/2 = 21 / 155
= 4450 mod 6829

(2414, 2662i) 569=1 mod 6829

13*941 = 12233

88, 68u=88, v=69 → 99, 52

a=2983,b=12144,c=12505

alpha/2 = 19 / 157
= 1653 mod 6829

(1586, 2331i) 1138=1 mod 6829

5*41*61 = 12505

88, 70u=88, v=71

a=2703,b=12496,c=12785

alpha/2 = 17 / 159
= 945 mod 6829

(1006, 1438i) 3414=1 mod 6829

5*2557 = 12785

88, 72u=88, v=73

a=2415,b=12848,c=13073

alpha/2 = 15 / 161
= 806 mod 6829

(1052, 1922i) 3414=1 mod 6829

17*769 = 13073

88, 74u=88, v=75

a=2119,b=13200,c=13369

alpha/2 = 13 / 163
= 5656 mod 6829

(220, 1443i) 1707=1 mod 6829

29*461 = 13369

88, 7688, 7788, 78u=88, v=79

a=1503,b=13904,c=13985

alpha/2 = 9 / 167
= 3435 mod 6829

(2380, 2448i) 1138=1 mod 6829

5*2797 = 13985

88, 80u=88, v=81

a=1183,b=14256,c=14305

alpha/2 = 7 / 169
= 6627 mod 6829

(927, 2870i) 3414=1 mod 6829

5*2861 = 14305

88, 82u=88, v=83

a=855,b=14608,c=14633

alpha/2 = 5 / 171
= 639 mod 6829

(211, 1752i) 1707=1 mod 6829

14633

88, 84u=88, v=85

a=519,b=14960,c=14969

alpha/2 = 3 / 173
= 4579 mod 6829

(813, 921i) 569=1 mod 6829

14969

88, 86u=88, v=87 f(u,87)=u2+7569;↓

a=175,b=15312,c=15313

alpha/2 = 1 / 175
= 5112 mod 6829

(62, 2809i) 3414=1 mod 6829

15313

89, 1u=89, v=2 → 86, 23

a=7917,b=356,c=7925

alpha/2 = 87 / 91
= 76 mod 6829

(649, 1520i) 569=1 mod 6829

5*5*317 = 7925

89, 3u=89, v=4

a=7905,b=712,c=7937

alpha/2 = 85 / 93
= 4113 mod 6829

(568, 665i) 1138=1 mod 6829

7937

89, 5u=89, v=6 → 71, 54

a=7885,b=1068,c=7957

alpha/2 = 83 / 95
= 4889 mod 6829

(217, 2471i) 1707=1 mod 6829

73*109 = 7957

89, 7u=89, v=8 → 76, 47

a=7857,b=1424,c=7985

alpha/2 = 81 / 97
= 5633 mod 6829

(70, 1771i) 569=1 mod 6829

5*1597 = 7985

89, 9u=89, v=10 → 86, 25

a=7821,b=1780,c=8021

alpha/2 = 79 / 99
= 6140 mod 6829

(45, 3141i) 3414=1 mod 6829

13*617 = 8021

89, 11u=89, v=12 → 64, 63

a=7777,b=2136,c=8065

alpha/2 = 77 / 101
= 3111 mod 6829

(1921, 2255i) 1707=1 mod 6829

5*1613 = 8065

89, 13u=89, v=14

a=7725,b=2492,c=8117

alpha/2 = 75 / 103
= 4907 mod 6829

(1928, 2376i) 1138=1 mod 6829

8117

89, 15u=89, v=16 → 71, 56

a=7665,b=2848,c=8177

alpha/2 = 73 / 105
= 521 mod 6829

(160, 891i) 569=1 mod 6829

13*17*37 = 8177

89, 17u=89, v=18 → 73, 54

a=7597,b=3204,c=8245

alpha/2 = 71 / 107
= 958 mod 6829

(1158, 3065i) 1707=1 mod 6829

5*17*97 = 8245

89, 19u=89, v=20 → 65, 64

a=7521,b=3560,c=8321

alpha/2 = 69 / 109
= 5326 mod 6829

(2236, 2343i) 3414=1 mod 6829

53*157 = 8321

89, 21u=89, v=22 → 71, 58

a=7437,b=3916,c=8405

alpha/2 = 67 / 111
= 3815 mod 6829

(1075, 3105i) 1707=1 mod 6829

5*41*41 = 8405

89, 23u=89, v=24 → 81, 44

a=7345,b=4272,c=8497

alpha/2 = 65 / 113
= 5077 mod 6829

(2014, 2066i) 3414=1 mod 6829

29*293 = 8497

89, 25u=89, v=26

a=7245,b=4628,c=8597

alpha/2 = 63 / 115
= 2554 mod 6829

(2212, 2410i) 1138=1 mod 6829

8597

89, 27u=89, v=28 → 88, 31

a=7137,b=4984,c=8705

alpha/2 = 61 / 117
= 3094 mod 6829

(1832, 2956i) 3414=1 mod 6829

5*1741 = 8705

89, 29u=89, v=30

a=7021,b=5340,c=8821

alpha/2 = 59 / 119
= 1263 mod 6829

(1684, 1810i) 569=1 mod 6829

8821

89, 31u=89, v=32 → 79, 52

a=6897,b=5696,c=8945

alpha/2 = 57 / 121
= 3161 mod 6829

(2414, 2662i) 569=1 mod 6829

5*1789 = 8945

89, 33u=89, v=34 → 86, 41

a=6765,b=6052,c=9077

alpha/2 = 55 / 123
= 5608 mod 6829

(2518, 2649i) 1707=1 mod 6829

29*313 = 9077

89, 35u=89, v=36 → 96, 1

a=6625,b=6408,c=9217

alpha/2 = 53 / 125
= 6447 mod 6829

(37, 858i) 3414=1 mod 6829

13*709 = 9217

89, 37u=89, v=38 → 94, 23

a=6477,b=6764,c=9365

alpha/2 = 51 / 127
= 6453 mod 6829

(323, 1473i) 3414=1 mod 6829

5*1873 = 9365

89, 39u=89, v=40

a=6321,b=7120,c=9521

alpha/2 = 49 / 129
= 6300 mod 6829

(510, 2841i) 1707=1 mod 6829

9521

89, 41u=89, v=42 → 73, 66 → 98, 9

a=6157,b=7476,c=9685

alpha/2 = 47 / 131
= 4275 mod 6829

(2212, 2410i) 1138=1 mod 6829

5*13*149 = 9685

89, 43u=89, v=44

a=5985,b=7832,c=9857

alpha/2 = 45 / 133
= 5443 mod 6829

(1955, 2869i) 1138=1 mod 6829

9857

89, 45u=89, v=46

a=5805,b=8188,c=10037

alpha/2 = 43 / 135
= 405 mod 6829

(1680, 2095i) 3414=1 mod 6829

10037

89, 47u=89, v=48 → 72, 71

a=5617,b=8544,c=10225

alpha/2 = 41 / 137
= 748 mod 6829

(461, 2703i) 1707=1 mod 6829

5*5*409 = 10225

89, 49u=89, v=50 → 86, 55

a=5421,b=8900,c=10421

alpha/2 = 39 / 139
= 1032 mod 6829

(989, 3128i) 1707=1 mod 6829

17*613 = 10421

89, 51u=89, v=52

a=5217,b=9256,c=10625

alpha/2 = 37 / 141
= 1986 mod 6829

(1123, 2804i) 3414=1 mod 6829

5*5*5*5*17 = 10625

89, 53u=89, v=54

a=5005,b=9612,c=10837

alpha/2 = 35 / 143
= 48 mod 6829

(795, 2862i) 3414=1 mod 6829

10837

89, 55u=89, v=56

a=4785,b=9968,c=11057

alpha/2 = 33 / 145
= 377 mod 6829

(2078, 2306i) 3414=1 mod 6829

11057

89, 57u=89, v=58 → 98, 41

a=4557,b=10324,c=11285

alpha/2 = 31 / 147
= 2323 mod 6829

(1259, 2661i) 1138=1 mod 6829

5*37*61 = 11285

89, 59u=89, v=60

a=4321,b=10680,c=11521

alpha/2 = 29 / 149
= 1146 mod 6829

(18, 142i) 569=1 mod 6829

41*281 = 11521

89, 61u=89, v=62 → 82, 71

a=4077,b=11036,c=11765

alpha/2 = 27 / 151
= 5789 mod 6829

(280, 3342i) 3414=1 mod 6829

5*13*181 = 11765

89, 63u=89, v=64 → 79, 76

a=3825,b=11392,c=12017

alpha/2 = 25 / 153
= 4776 mod 6829

(1875, 2182i) 1138=1 mod 6829

61*197 = 12017

89, 65u=89, v=66

a=3565,b=11748,c=12277

alpha/2 = 23 / 155
= 5199 mod 6829

(1293, 2570i) 3414=1 mod 6829

12277

89, 67u=89, v=68 → 97, 56

a=3297,b=12104,c=12545

alpha/2 = 21 / 157
= 1827 mod 6829

(514, 1678i) 569=1 mod 6829

5*13*193 = 12545

89, 69u=89, v=70

a=3021,b=12460,c=12821

alpha/2 = 19 / 159
= 2663 mod 6829

(2745, 2906i) 1707=1 mod 6829

12821

89, 71u=89, v=72

a=2737,b=12816,c=13105

alpha/2 = 17 / 161
= 1824 mod 6829

(903, 3107i) 1707=1 mod 6829

5*2621 = 13105

89, 73u=89, v=74

a=2445,b=13172,c=13397

alpha/2 = 15 / 163
= 2849 mod 6829

(1796, 1882i) 3414=1 mod 6829

13397

89, 75u=89, v=76

a=2145,b=13528,c=13697

alpha/2 = 13 / 165
= 952 mod 6829

(55, 2273i) 569=1 mod 6829

13697

89, 77u=89, v=78

a=1837,b=13884,c=14005

alpha/2 = 11 / 167
= 1922 mod 6829

(1928, 2376i) 1138=1 mod 6829

5*2801 = 14005

89, 79u=89, v=80

a=1521,b=14240,c=14321

alpha/2 = 9 / 169
= 2667 mod 6829

(404, 1515i) 1138=1 mod 6829

14321

89, 81u=89, v=82 → 98, 71

a=1197,b=14596,c=14645

alpha/2 = 7 / 171
= 4992 mod 6829

(873, 1113i) 1707=1 mod 6829

5*29*101 = 14645

89, 83u=89, v=84

a=865,b=14952,c=14977

alpha/2 = 5 / 173
= 3079 mod 6829

(1195, 2324i) 1707=1 mod 6829

17*881 = 14977

89, 85u=89, v=86

a=525,b=15308,c=15317

alpha/2 = 3 / 175
= 1678 mod 6829

(1037, 1308i) 3414=1 mod 6829

17*17*53 = 15317

89, 87u=89, v=88 f(u,88)=u2+7744;↓

a=177,b=15664,c=15665

alpha/2 = 1 / 177
= 4707 mod 6829

(261, 1429i) 3414=1 mod 6829

5*13*241 = 15665

u=90, v=1 f(90,v)=8100+v2;→

a=8099,b=180,c=8101

alpha/2 = 89 / 91
= 3453 mod 6829

(1921, 2255i) 1707=1 mod 6829

8101

90, 290, 390, 490, 590, 6u=90, v=7 → 70, 57

a=8051,b=1260,c=8149

alpha/2 = 83 / 97
= 4929 mod 6829

(1553, 2472i) 1707=1 mod 6829

29*281 = 8149

90, 890, 990, 10u=90, v=11

a=7979,b=1980,c=8221

alpha/2 = 79 / 101
= 3990 mod 6829

(649, 1520i) 569=1 mod 6829

8221

90, 12u=90, v=13

a=7931,b=2340,c=8269

alpha/2 = 77 / 103
= 3581 mod 6829

(852, 1697i) 569=1 mod 6829

8269

90, 1490, 1590, 16u=90, v=17

a=7811,b=3060,c=8389

alpha/2 = 73 / 107
= 2043 mod 6829

(786, 1060i) 569=1 mod 6829

8389

90, 18u=90, v=19

a=7739,b=3420,c=8461

alpha/2 = 71 / 109
= 6767 mod 6829

(1157, 3323i) 1138=1 mod 6829

8461

90, 2090, 2190, 22u=90, v=23

a=7571,b=4140,c=8629

alpha/2 = 67 / 113
= 1451 mod 6829

(8, 2051i) 1138=1 mod 6829

8629

90, 2490, 2590, 2690, 2790, 28u=90, v=29

a=7259,b=5220,c=8941

alpha/2 = 61 / 119
= 3042 mod 6829

(2399, 2442i) 1707=1 mod 6829

8941

90, 30u=90, v=31 → 81, 50 → 95, 6

a=7139,b=5580,c=9061

alpha/2 = 59 / 121
= 1355 mod 6829

(1328, 3412i) 3414=1 mod 6829

13*17*41 = 9061

90, 3290, 3390, 3490, 3590, 36u=90, v=37 → 75, 62

a=6731,b=6660,c=9469

alpha/2 = 53 / 127
= 2689 mod 6829

(2178, 2641i) 1707=1 mod 6829

17*557 = 9469

90, 3890, 3990, 40u=90, v=41

a=6419,b=7380,c=9781

alpha/2 = 49 / 131
= 5474 mod 6829

(1328, 3412i) 3414=1 mod 6829

9781

90, 42u=90, v=43

a=6251,b=7740,c=9949

alpha/2 = 47 / 133
= 1284 mod 6829

(2885, 3023i) 1707=1 mod 6829

9949

90, 4490, 4590, 46u=90, v=47 → 97, 30

a=5891,b=8460,c=10309

alpha/2 = 43 / 137
= 6281 mod 6829

(2123, 2475i) 569=1 mod 6829

13*13*61 = 10309

90, 48u=90, v=49

a=5699,b=8820,c=10501

alpha/2 = 41 / 139
= 6338 mod 6829

(800, 3283i) 1707=1 mod 6829

10501

90, 5090, 5190, 52u=90, v=53

a=5291,b=9540,c=10909

alpha/2 = 37 / 143
= 2197 mod 6829

(1403, 2513i) 3414=1 mod 6829

10909

90, 5490, 5590, 5690, 5790, 58u=90, v=59 → 85, 66

a=4619,b=10620,c=11581

alpha/2 = 31 / 149
= 1696 mod 6829

(308, 3365i) 1707=1 mod 6829

37*313 = 11581

90, 60u=90, v=61

a=4379,b=10980,c=11821

alpha/2 = 29 / 151
= 2171 mod 6829

(1032, 1611i) 1707=1 mod 6829

11821

90, 6290, 6390, 6490, 6590, 66u=90, v=67

a=3611,b=12060,c=12589

alpha/2 = 23 / 157
= 2001 mod 6829

(425, 3199i) 3414=1 mod 6829

12589

90, 6890, 6990, 70u=90, v=71

a=3059,b=12780,c=13141

alpha/2 = 19 / 161
= 2842 mod 6829

(738, 1949i) 3414=1 mod 6829

17*773 = 13141

90, 72u=90, v=73

a=2771,b=13140,c=13429

alpha/2 = 17 / 163
= 42 mod 6829

(1861, 3044i) 3414=1 mod 6829

13*1033 = 13429

90, 7490, 7590, 76u=90, v=77

a=2171,b=13860,c=14029

alpha/2 = 13 / 167
= 409 mod 6829

(1197, 1706i) 1707=1 mod 6829

14029

90, 78u=90, v=79

a=1859,b=14220,c=14341

alpha/2 = 11 / 169
= 5536 mod 6829

(1209, 1897i) 569=1 mod 6829

14341

90, 8090, 8190, 82u=90, v=83

a=1211,b=14940,c=14989

alpha/2 = 7 / 173
= 1579 mod 6829

(702, 2161i) 1707=1 mod 6829

13*1153 = 14989

90, 8490, 8590, 8690, 8790, 88u=90, v=89 f(u,89)=u2+7921;↓

a=179,b=16020,c=16021

alpha/2 = 1 / 179
= 2022 mod 6829

(1390, 2967i) 1707=1 mod 6829

37*433 = 16021

91, 1u=91, v=2 → 74, 53

a=8277,b=364,c=8285

alpha/2 = 89 / 93
= 2057 mod 6829

(864, 1707i) 1707=1 mod 6829

5*1657 = 8285

91, 3u=91, v=4

a=8265,b=728,c=8297

alpha/2 = 87 / 95
= 5536 mod 6829

(1209, 1897i) 569=1 mod 6829

8297

91, 5u=91, v=6

a=8245,b=1092,c=8317

alpha/2 = 85 / 97
= 4225 mod 6829

(2314, 2479i) 569=1 mod 6829

8317

91, 7u=91, v=8 → 68, 61

a=8217,b=1456,c=8345

alpha/2 = 83 / 99
= 6278 mod 6829

(936, 3010i) 1707=1 mod 6829

5*1669 = 8345

91, 9u=91, v=10 → 70, 59

a=8181,b=1820,c=8381

alpha/2 = 81 / 101
= 4869 mod 6829

(934, 2428i) 569=1 mod 6829

17*17*29 = 8381

91, 11u=91, v=12 → 84, 37

a=8137,b=2184,c=8425

alpha/2 = 79 / 103
= 2255 mod 6829

(2106, 2874i) 1138=1 mod 6829

5*5*337 = 8425

91, 1391, 1491, 15u=91, v=16

a=8025,b=2912,c=8537

alpha/2 = 75 / 107
= 3128 mod 6829

(670, 2958i) 1138=1 mod 6829

8537

91, 17u=91, v=18 → 69, 62

a=7957,b=3276,c=8605

alpha/2 = 73 / 109
= 1379 mod 6829

(598, 3046i) 3414=1 mod 6829

5*1721 = 8605

91, 19u=91, v=20

a=7881,b=3640,c=8681

alpha/2 = 71 / 111
= 985 mod 6829

(942, 1859i) 569=1 mod 6829

8681

91, 21u=91, v=22 → 86, 37

a=7797,b=4004,c=8765

alpha/2 = 69 / 113
= 4654 mod 6829

(2326, 3414i) 6=1 mod 6829

5*1753 = 8765

91, 23u=91, v=24 → 69, 64

a=7705,b=4368,c=8857

alpha/2 = 67 / 115
= 1307 mod 6829

(1131, 3154i) 1707=1 mod 6829

17*521 = 8857

91, 2591, 2691, 2791, 2891, 29u=91, v=30

a=7381,b=5460,c=9181

alpha/2 = 61 / 121
= 6378 mod 6829

(734, 3136i) 1138=1 mod 6829

9181

91, 31u=91, v=32 → 92, 29

a=7257,b=5824,c=9305

alpha/2 = 59 / 123
= 56 mod 6829

(565, 2449i) 3414=1 mod 6829

5*1861 = 9305

91, 33u=91, v=34

a=7125,b=6188,c=9437

alpha/2 = 57 / 125
= 2295 mod 6829

(356, 2459i) 1707=1 mod 6829

9437

91, 35u=91, v=36 → 96, 19

a=6985,b=6552,c=9577

alpha/2 = 55 / 127
= 5754 mod 6829

(1342, 1732i) 3414=1 mod 6829

61*157 = 9577

91, 37u=91, v=38 → 98, 11

a=6837,b=6916,c=9725

alpha/2 = 53 / 129
= 2912 mod 6829

(823, 2509i) 3414=1 mod 6829

5*5*389 = 9725

91, 39u=91, v=40 → 80, 59

a=6681,b=7280,c=9881

alpha/2 = 51 / 131
= 6673 mod 6829

(2345, 2947i) 1707=1 mod 6829

41*241 = 9881

91, 4191, 4291, 43u=91, v=44

a=6345,b=8008,c=10217

alpha/2 = 47 / 135
= 1872 mod 6829

(1244, 1951i) 3414=1 mod 6829

17*601 = 10217

91, 45u=91, v=46

a=6165,b=8372,c=10397

alpha/2 = 45 / 137
= 4985 mod 6829

(1189, 2251i) 3414=1 mod 6829

37*281 = 10397

91, 47u=91, v=48 → 99, 28

a=5977,b=8736,c=10585

alpha/2 = 43 / 139
= 4815 mod 6829

(2834, 3382i) 3414=1 mod 6829

5*29*73 = 10585

91, 49u=91, v=50

a=5781,b=9100,c=10781

alpha/2 = 41 / 141
= 1647 mod 6829

(811, 1120i) 1707=1 mod 6829

10781

91, 5191, 5291, 53u=91, v=54

a=5365,b=9828,c=11197

alpha/2 = 37 / 145
= 6217 mod 6829

(1705, 1989i) 3414=1 mod 6829

11197

91, 5591, 5691, 57u=91, v=58 → 94, 53

a=4917,b=10556,c=11645

alpha/2 = 33 / 149
= 2246 mod 6829

(1010, 1233i) 569=1 mod 6829

5*17*137 = 11645

91, 59u=91, v=60

a=4681,b=10920,c=11881

alpha/2 = 31 / 151
= 5382 mod 6829

(744, 2968i) 1138=1 mod 6829

109*109 = 11881

91, 61u=91, v=62

a=4437,b=11284,c=12125

alpha/2 = 29 / 153
= 5267 mod 6829

(2857, 3298i) 3414=1 mod 6829

5*5*5*97 = 12125

91, 63u=91, v=64

a=4185,b=11648,c=12377

alpha/2 = 27 / 155
= 6697 mod 6829

(611, 1297i) 569=1 mod 6829

12377

91, 65u=91, v=66

a=3925,b=12012,c=12637

alpha/2 = 25 / 157
= 2175 mod 6829

(2326, 3414i) 6=1 mod 6829

12637

91, 67u=91, v=68

a=3657,b=12376,c=12905

alpha/2 = 23 / 159
= 6099 mod 6829

(549, 2142i) 569=1 mod 6829

5*29*89 = 12905

91, 6991, 7091, 71u=91, v=72

a=3097,b=13104,c=13465

alpha/2 = 19 / 163
= 4064 mod 6829

(1396, 1554i) 3414=1 mod 6829

5*2693 = 13465

91, 73u=91, v=74

a=2805,b=13468,c=13757

alpha/2 = 17 / 165
= 6498 mod 6829

(274, 2248i) 3414=1 mod 6829

13757

91, 75u=91, v=76

a=2505,b=13832,c=14057

alpha/2 = 15 / 167
= 5725 mod 6829

(1598, 2311i) 3414=1 mod 6829

14057

91, 7791, 7891, 79u=91, v=80

a=1881,b=14560,c=14681

alpha/2 = 11 / 171
= 40 mod 6829

(883, 1174i) 1707=1 mod 6829

53*277 = 14681

91, 81u=91, v=82

a=1557,b=14924,c=15005

alpha/2 = 9 / 173
= 79 mod 6829

(2024, 2828i) 1138=1 mod 6829

5*3001 = 15005

91, 8391, 8491, 85u=91, v=86

a=885,b=15652,c=15677

alpha/2 = 5 / 177
= 3048 mod 6829

(660, 2876i) 3414=1 mod 6829

61*257 = 15677

91, 87u=91, v=88

a=537,b=16016,c=16025

alpha/2 = 3 / 179
= 6066 mod 6829

(1437, 3037i) 3414=1 mod 6829

5*5*641 = 16025

91, 89u=91, v=90 f(u,90)=u2+8100;↓

a=181,b=16380,c=16381

alpha/2 = 1 / 181
= 5018 mod 6829

(954, 1768i) 1138=1 mod 6829

16381

u=92, v=1 f(92,v)=8464+v2;→ → 73, 56

a=8463,b=184,c=8465

alpha/2 = 91 / 93
= 1029 mod 6829

(985, 1844i) 569=1 mod 6829

5*1693 = 8465

92, 2u=92, v=3 → 88, 27

a=8455,b=552,c=8473

alpha/2 = 89 / 95
= 2445 mod 6829

(973, 2492i) 1138=1 mod 6829

37*229 = 8473

92, 4u=92, v=5 → 83, 40

a=8439,b=920,c=8489

alpha/2 = 87 / 97
= 3521 mod 6829

(164, 287i) 3414=1 mod 6829

13*653 = 8489

92, 6u=92, v=7

a=8415,b=1288,c=8513

alpha/2 = 85 / 99
= 6347 mod 6829

(1524, 3383i) 3414=1 mod 6829

8513

92, 8u=92, v=9 → 79, 48

a=8383,b=1656,c=8545

alpha/2 = 83 / 101
= 5748 mod 6829

(1957, 2554i) 3414=1 mod 6829

5*1709 = 8545

92, 10u=92, v=11 → 67, 64

a=8343,b=2024,c=8585

alpha/2 = 81 / 103
= 929 mod 6829

(1642, 2550i) 1707=1 mod 6829

5*17*101 = 8585

92, 12u=92, v=13 → 77, 52

a=8295,b=2392,c=8633

alpha/2 = 79 / 105
= 3838 mod 6829

(1568, 1634i) 1707=1 mod 6829

89*97 = 8633

92, 14u=92, v=15

a=8239,b=2760,c=8689

alpha/2 = 77 / 107
= 4213 mod 6829

(2092, 2642i) 1707=1 mod 6829

8689

92, 16u=92, v=17

a=8175,b=3128,c=8753

alpha/2 = 75 / 109
= 2820 mod 6829

(2128, 2278i) 3414=1 mod 6829

8753

92, 18u=92, v=19 → 83, 44

a=8103,b=3496,c=8825

alpha/2 = 73 / 111
= 6399 mod 6829

(792, 1320i) 3414=1 mod 6829

5*5*353 = 8825

92, 20u=92, v=21 → 72, 61 → 93, 16

a=8023,b=3864,c=8905

alpha/2 = 71 / 113
= 1028 mod 6829

(494, 2485i) 3414=1 mod 6829

5*13*137 = 8905

92, 2292, 2392, 24u=92, v=25 → 95, 8

a=7839,b=4600,c=9089

alpha/2 = 67 / 117
= 6421 mod 6829

(421, 635i) 1138=1 mod 6829

61*149 = 9089

92, 26u=92, v=27 → 83, 48

a=7735,b=4968,c=9193

alpha/2 = 65 / 119
= 6600 mod 6829

(1023, 2082i) 3414=1 mod 6829

29*317 = 9193

92, 28u=92, v=29 → 91, 32

a=7623,b=5336,c=9305

alpha/2 = 63 / 121
= 4572 mod 6829

(403, 1315i) 1707=1 mod 6829

5*1861 = 9305

92, 30u=92, v=31 → 73, 64 → 97, 4

a=7503,b=5704,c=9425

alpha/2 = 61 / 123
= 4109 mod 6829

(2681, 3057i) 1707=1 mod 6829

5*5*13*29 = 9425

92, 32u=92, v=33 → 97, 12

a=7375,b=6072,c=9553

alpha/2 = 59 / 125
= 219 mod 6829

(647, 1717i) 569=1 mod 6829

41*233 = 9553

92, 34u=92, v=35

a=7239,b=6440,c=9689

alpha/2 = 57 / 127
= 1990 mod 6829

(167, 2290i) 1707=1 mod 6829

9689

92, 36u=92, v=37

a=7095,b=6808,c=9833

alpha/2 = 55 / 129
= 1218 mod 6829

(350, 2903i) 3414=1 mod 6829

9833

92, 38u=92, v=39 → 97, 24

a=6943,b=7176,c=9985

alpha/2 = 53 / 131
= 1043 mod 6829

(210, 1545i) 1707=1 mod 6829

5*1997 = 9985

92, 40u=92, v=41 → 88, 49

a=6783,b=7544,c=10145

alpha/2 = 51 / 133
= 6624 mod 6829

(1518, 2739i) 3414=1 mod 6829

5*2029 = 10145

92, 42u=92, v=43

a=6615,b=7912,c=10313

alpha/2 = 49 / 135
= 6020 mod 6829

(1870, 3209i) 1707=1 mod 6829

10313

92, 44u=92, v=45 → 83, 60

a=6439,b=8280,c=10489

alpha/2 = 47 / 137
= 3689 mod 6829

(1677, 2519i) 3414=1 mod 6829

17*617 = 10489

92, 46u=92, v=47

a=6255,b=8648,c=10673

alpha/2 = 45 / 139
= 3292 mod 6829

(1851, 2023i) 1707=1 mod 6829

13*821 = 10673

92, 48u=92, v=49 → 79, 68

a=6063,b=9016,c=10865

alpha/2 = 43 / 141
= 4892 mod 6829

(476, 2034i) 1707=1 mod 6829

5*41*53 = 10865

92, 50u=92, v=51 → 96, 43

a=5863,b=9384,c=11065

alpha/2 = 41 / 143
= 6495 mod 6829

(1913, 3318i) 1138=1 mod 6829

5*2213 = 11065

92, 52u=92, v=53

a=5655,b=9752,c=11273

alpha/2 = 39 / 145
= 2308 mod 6829

(2424, 2880i) 1707=1 mod 6829

11273

92, 54u=92, v=55

a=5439,b=10120,c=11489

alpha/2 = 37 / 147
= 790 mod 6829

(2770, 3021i) 569=1 mod 6829

11489

92, 56u=92, v=57 → 88, 63 → 97, 48

a=5215,b=10488,c=11713

alpha/2 = 35 / 149
= 2796 mod 6829

(898, 2263i) 569=1 mod 6829

13*17*53 = 11713

92, 58u=92, v=59

a=4983,b=10856,c=11945

alpha/2 = 33 / 151
= 1764 mod 6829

(1888, 2945i) 569=1 mod 6829

5*2389 = 11945

92, 60u=92, v=61

a=4743,b=11224,c=12185

alpha/2 = 31 / 153
= 2098 mod 6829

(303, 2695i) 1707=1 mod 6829

5*2437 = 12185

92, 62u=92, v=63

a=4495,b=11592,c=12433

alpha/2 = 29 / 155
= 617 mod 6829

(812, 2488i) 569=1 mod 6829

12433

92, 64u=92, v=65

a=4239,b=11960,c=12689

alpha/2 = 27 / 157
= 2349 mod 6829

(1820, 2575i) 3414=1 mod 6829

12689

92, 66u=92, v=67

a=3975,b=12328,c=12953

alpha/2 = 25 / 159
= 988 mod 6829

(1358, 2621i) 1138=1 mod 6829

12953

92, 6892, 6992, 70u=92, v=71 → 97, 64

a=3423,b=13064,c=13505

alpha/2 = 21 / 163
= 1257 mod 6829

(1209, 1897i) 569=1 mod 6829

5*37*73 = 13505

92, 72u=92, v=73

a=3135,b=13432,c=13793

alpha/2 = 19 / 165
= 2442 mod 6829

(782, 2477i) 1707=1 mod 6829

13*1061 = 13793

92, 74u=92, v=75

a=2839,b=13800,c=14089

alpha/2 = 17 / 167
= 4212 mod 6829

(2003, 2820i) 1707=1 mod 6829

73*193 = 14089

92, 76u=92, v=77

a=2535,b=14168,c=14393

alpha/2 = 15 / 169
= 4445 mod 6829

(1255, 3202i) 3414=1 mod 6829

37*389 = 14393

92, 78u=92, v=79

a=2223,b=14536,c=14705

alpha/2 = 13 / 171
= 4393 mod 6829

(1274, 3099i) 569=1 mod 6829

5*17*173 = 14705

92, 80u=92, v=81

a=1903,b=14904,c=15025

alpha/2 = 11 / 173
= 5408 mod 6829

(1238, 2724i) 569=1 mod 6829

5*5*601 = 15025

92, 82u=92, v=83

a=1575,b=15272,c=15353

alpha/2 = 9 / 175
= 5034 mod 6829

(847, 2501i) 1707=1 mod 6829

13*1181 = 15353

92, 84u=92, v=85

a=1239,b=15640,c=15689

alpha/2 = 7 / 177
= 5633 mod 6829

(70, 1771i) 569=1 mod 6829

29*541 = 15689

92, 86u=92, v=87

a=895,b=16008,c=16033

alpha/2 = 5 / 179
= 3281 mod 6829

(14, 1868i) 3414=1 mod 6829

16033

92, 88u=92, v=89

a=543,b=16376,c=16385

alpha/2 = 3 / 181
= 1396 mod 6829

(3148, 3269i) 1138=1 mod 6829

5*29*113 = 16385

92, 90u=92, v=91 f(u,91)=u2+8281;↓

a=183,b=16744,c=16745

alpha/2 = 1 / 183
= 1530 mod 6829

(1125, 1188i) 3414=1 mod 6829

5*17*197 = 16745

93, 1u=93, v=2 → 83, 42

a=8645,b=372,c=8653

alpha/2 = 91 / 95
= 6183 mod 6829

(494, 2485i) 3414=1 mod 6829

17*509 = 8653

93, 3u=93, v=4 → 72, 59

a=8633,b=744,c=8665

alpha/2 = 89 / 97
= 2817 mod 6829

(1950, 2633i) 3414=1 mod 6829

5*1733 = 8665

93, 593, 693, 7u=93, v=8

a=8585,b=1488,c=8713

alpha/2 = 85 / 101
= 6627 mod 6829

(927, 2870i) 3414=1 mod 6829

8713

93, 9u=93, v=10 → 82, 45

a=8549,b=1860,c=8749

alpha/2 = 83 / 103
= 6432 mod 6829

(995, 1068i) 3414=1 mod 6829

13*673 = 8749

93, 1193, 1293, 13u=93, v=14 → 67, 66 → 94, 3

a=8453,b=2604,c=8845

alpha/2 = 79 / 107
= 5298 mod 6829

(1424, 3224i) 1707=1 mod 6829

5*29*61 = 8845

93, 15u=93, v=16 → 72, 61

a=8393,b=2976,c=8905

alpha/2 = 77 / 109
= 4261 mod 6829

(1617, 2144i) 569=1 mod 6829

5*13*137 = 8905

93, 1793, 1893, 19u=93, v=20

a=8249,b=3720,c=9049

alpha/2 = 73 / 113
= 4231 mod 6829

(985, 1844i) 569=1 mod 6829

9049

93, 21u=93, v=22

a=8165,b=4092,c=9133

alpha/2 = 71 / 115
= 60 mod 6829

(1447, 1958i) 569=1 mod 6829

9133

93, 2393, 2493, 25u=93, v=26 → 82, 51

a=7973,b=4836,c=9325

alpha/2 = 67 / 119
= 1550 mod 6829

(285, 2136i) 569=1 mod 6829

5*5*373 = 9325

93, 27u=93, v=28

a=7865,b=5208,c=9433

alpha/2 = 65 / 121
= 2766 mod 6829

(2, 1469i) 3414=1 mod 6829

9433

93, 2993, 3093, 31u=93, v=32 → 72, 67

a=7625,b=5952,c=9673

alpha/2 = 61 / 125
= 4972 mod 6829

(1767, 3398i) 3414=1 mod 6829

17*569 = 9673

93, 33u=93, v=34 → 78, 61 → 99, 2

a=7493,b=6324,c=9805

alpha/2 = 59 / 127
= 5055 mod 6829

(422, 2563i) 3414=1 mod 6829

5*37*53 = 9805

93, 3593, 3693, 37u=93, v=38

a=7205,b=7068,c=10093

alpha/2 = 55 / 131
= 2242 mod 6829

(184, 2789i) 3414=1 mod 6829

10093

93, 39u=93, v=40 → 75, 68

a=7049,b=7440,c=10249

alpha/2 = 53 / 133
= 2465 mod 6829

(40, 2993i) 3414=1 mod 6829

37*277 = 10249

93, 4193, 4293, 43u=93, v=44 → 91, 48 → 99, 28

a=6713,b=8184,c=10585

alpha/2 = 49 / 137
= 2393 mod 6829

(216, 2320i) 3414=1 mod 6829

5*29*73 = 10585

93, 45u=93, v=46

a=6533,b=8556,c=10765

alpha/2 = 47 / 139
= 1769 mod 6829

(819, 1064i) 3414=1 mod 6829

5*2153 = 10765

93, 4793, 4893, 49u=93, v=50

a=6149,b=9300,c=11149

alpha/2 = 43 / 143
= 1815 mod 6829

(97, 316i) 1707=1 mod 6829

11149

93, 51u=93, v=52

a=5945,b=9672,c=11353

alpha/2 = 41 / 145
= 5228 mod 6829

(1886, 2669i) 1707=1 mod 6829

11353

93, 5393, 5493, 55u=93, v=56

a=5513,b=10416,c=11785

alpha/2 = 37 / 149
= 3346 mod 6829

(2701, 2780i) 3414=1 mod 6829

5*2357 = 11785

93, 57u=93, v=58 → 78, 77

a=5285,b=10788,c=12013

alpha/2 = 35 / 151
= 4975 mod 6829

(875, 3053i) 1707=1 mod 6829

41*293 = 12013

93, 5993, 6093, 6193, 6293, 63u=93, v=64

a=4553,b=11904,c=12745

alpha/2 = 29 / 157
= 2523 mod 6829

(369, 2242i) 569=1 mod 6829

5*2549 = 12745

93, 6593, 6693, 67u=93, v=68

a=4025,b=12648,c=13273

alpha/2 = 25 / 161
= 5896 mod 6829

(180, 1852i) 1138=1 mod 6829

13*1021 = 13273

93, 69u=93, v=70

a=3749,b=13020,c=13549

alpha/2 = 23 / 163
= 5279 mod 6829

(285, 2136i) 569=1 mod 6829

17*797 = 13549

93, 7193, 7293, 73u=93, v=74

a=3173,b=13764,c=14125

alpha/2 = 19 / 167
= 2699 mod 6829

(622, 1155i) 1707=1 mod 6829

5*5*5*113 = 14125

93, 75u=93, v=76 → 99, 68

a=2873,b=14136,c=14425

alpha/2 = 17 / 169
= 485 mod 6829

(112, 311i) 3414=1 mod 6829

5*5*577 = 14425

93, 7793, 7893, 79u=93, v=80

a=2249,b=14880,c=15049

alpha/2 = 13 / 173
= 3908 mod 6829

(1661, 3192i) 1138=1 mod 6829

101*149 = 15049

93, 81u=93, v=82

a=1925,b=15252,c=15373

alpha/2 = 11 / 175
= 1600 mod 6829

(1968, 2231i) 3414=1 mod 6829

15373

93, 8393, 8493, 85u=93, v=86

a=1253,b=15996,c=16045

alpha/2 = 7 / 179
= 496 mod 6829

(361, 1501i) 1707=1 mod 6829

5*3209 = 16045

93, 87u=93, v=88

a=905,b=16368,c=16393

alpha/2 = 5 / 181
= 4603 mod 6829

(1873, 3220i) 1138=1 mod 6829

13*13*97 = 16393

93, 8993, 9093, 91u=93, v=92 f(u,92)=u2+8464;↓

a=185,b=17112,c=17113

alpha/2 = 1 / 185
= 2990 mod 6829

(2193, 2609i) 1707=1 mod 6829

109*157 = 17113

u=94, v=1 f(94,v)=8836+v2;→

a=8835,b=188,c=8837

alpha/2 = 93 / 95
= 3092 mod 6829

(754, 2680i) 3414=1 mod 6829

8837

94, 2u=94, v=3 → 67, 66

a=8827,b=564,c=8845

alpha/2 = 91 / 97
= 2113 mod 6829

(2257, 2398i) 1138=1 mod 6829

5*29*61 = 8845

94, 4u=94, v=5

a=8811,b=940,c=8861

alpha/2 = 89 / 99
= 6485 mod 6829

(2111, 2654i) 1138=1 mod 6829

8861

94, 6u=94, v=7 → 71, 62

a=8787,b=1316,c=8885

alpha/2 = 87 / 101
= 677 mod 6829

(1135, 3281i) 1707=1 mod 6829

5*1777 = 8885

94, 8u=94, v=9 → 86, 39

a=8755,b=1692,c=8917

alpha/2 = 85 / 103
= 5106 mod 6829

(825, 2766i) 3414=1 mod 6829

37*241 = 8917

94, 10u=94, v=11 → 74, 59

a=8715,b=2068,c=8957

alpha/2 = 83 / 105
= 3773 mod 6829

(2857, 3298i) 3414=1 mod 6829

13*13*53 = 8957

94, 12u=94, v=13 → 83, 46

a=8667,b=2444,c=9005

alpha/2 = 81 / 107
= 6383 mod 6829

(685, 1794i) 1707=1 mod 6829

5*1801 = 9005

94, 14u=94, v=15 → 81, 50 → 95, 6

a=8611,b=2820,c=9061

alpha/2 = 79 / 109
= 5702 mod 6829

(605, 1066i) 3414=1 mod 6829

13*17*41 = 9061

94, 16u=94, v=17 → 82, 49

a=8547,b=3196,c=9125

alpha/2 = 77 / 111
= 3569 mod 6829

(394, 2981i) 1707=1 mod 6829

5*5*5*73 = 9125

94, 18u=94, v=19 → 74, 61

a=8475,b=3572,c=9197

alpha/2 = 75 / 113
= 605 mod 6829

(1302, 1770i) 1138=1 mod 6829

17*541 = 9197

94, 20u=94, v=21

a=8395,b=3948,c=9277

alpha/2 = 73 / 115
= 2851 mod 6829

(150, 2576i) 3414=1 mod 6829

9277

94, 22u=94, v=23 → 89, 38

a=8307,b=4324,c=9365

alpha/2 = 71 / 117
= 1810 mod 6829

(231, 1542i) 3414=1 mod 6829

5*1873 = 9365

94, 24u=94, v=25

a=8211,b=4700,c=9461

alpha/2 = 69 / 119
= 3329 mod 6829

(486, 2921i) 1707=1 mod 6829

9461

94, 26u=94, v=27 → 78, 59

a=8107,b=5076,c=9565

alpha/2 = 67 / 121
= 960 mod 6829

(88, 1572i) 569=1 mod 6829

5*1913 = 9565

94, 28u=94, v=29

a=7995,b=5452,c=9677

alpha/2 = 65 / 123
= 5386 mod 6829

(1009, 2853i) 3414=1 mod 6829

9677

94, 30u=94, v=31 → 86, 49

a=7875,b=5828,c=9797

alpha/2 = 63 / 125
= 2896 mod 6829

(400, 2529i) 569=1 mod 6829

97*101 = 9797

94, 32u=94, v=33 → 81, 58

a=7747,b=6204,c=9925

alpha/2 = 61 / 127
= 1291 mod 6829

(40, 2993i) 3414=1 mod 6829

5*5*397 = 9925

94, 34u=94, v=35

a=7611,b=6580,c=10061

alpha/2 = 59 / 129
= 4659 mod 6829

(1137, 2022i) 569=1 mod 6829

10061

94, 36u=94, v=37 → 82, 59

a=7467,b=6956,c=10205

alpha/2 = 57 / 131
= 3441 mod 6829

(959, 1511i) 3414=1 mod 6829

5*13*157 = 10205

94, 38u=94, v=39

a=7315,b=7332,c=10357

alpha/2 = 55 / 133
= 5135 mod 6829

(1229, 2613i) 1707=1 mod 6829

10357

94, 40u=94, v=41 → 74, 71

a=7155,b=7708,c=10517

alpha/2 = 53 / 135
= 658 mod 6829

(648, 2987i) 569=1 mod 6829

13*809 = 10517

94, 42u=94, v=43

a=6987,b=8084,c=10685

alpha/2 = 51 / 137
= 1097 mod 6829

(2568, 3282i) 569=1 mod 6829

5*2137 = 10685

94, 44u=94, v=45

a=6811,b=8460,c=10861

alpha/2 = 49 / 139
= 246 mod 6829

(1128, 2502i) 1707=1 mod 6829

10861

94, 4694, 4794, 48u=94, v=49

a=6435,b=9212,c=11237

alpha/2 = 45 / 143
= 3964 mod 6829

(1826, 2389i) 1707=1 mod 6829

17*661 = 11237

94, 50u=94, v=51

a=6235,b=9588,c=11437

alpha/2 = 43 / 145
= 1319 mod 6829

(91, 1574i) 1707=1 mod 6829

11437

94, 52u=94, v=53 → 91, 58

a=6027,b=9964,c=11645

alpha/2 = 41 / 147
= 6597 mod 6829

(1006, 1438i) 3414=1 mod 6829

5*17*137 = 11645

94, 54u=94, v=55

a=5811,b=10340,c=11861

alpha/2 = 39 / 149
= 3896 mod 6829

(2624, 2842i) 3414=1 mod 6829

29*409 = 11861

94, 56u=94, v=57

a=5587,b=10716,c=12085

alpha/2 = 37 / 151
= 1357 mod 6829

(2222, 3163i) 1707=1 mod 6829

5*2417 = 12085

94, 58u=94, v=59

a=5355,b=11092,c=12317

alpha/2 = 35 / 153
= 2589 mod 6829

(271, 1769i) 1707=1 mod 6829

109*113 = 12317

94, 60u=94, v=61

a=5115,b=11468,c=12557

alpha/2 = 33 / 155
= 2115 mod 6829

(107, 947i) 1138=1 mod 6829

29*433 = 12557

94, 62u=94, v=63

a=4867,b=11844,c=12805

alpha/2 = 31 / 157
= 2697 mod 6829

(1195, 2324i) 1707=1 mod 6829

5*13*197 = 12805

94, 64u=94, v=65

a=4611,b=12220,c=13061

alpha/2 = 29 / 159
= 4424 mod 6829

(1295, 2856i) 1138=1 mod 6829

37*353 = 13061

94, 66u=94, v=67 → 86, 77 → 98, 61

a=4347,b=12596,c=13325

alpha/2 = 27 / 161
= 85 mod 6829

(2218, 2597i) 3414=1 mod 6829

5*5*13*41 = 13325

94, 68u=94, v=69

a=4075,b=12972,c=13597

alpha/2 = 25 / 163
= 2472 mod 6829

(381, 571i) 1707=1 mod 6829

13597

94, 70u=94, v=71

a=3795,b=13348,c=13877

alpha/2 = 23 / 165
= 1159 mod 6829

(1327, 1467i) 3414=1 mod 6829

13877

94, 72u=94, v=73

a=3507,b=13724,c=14165

alpha/2 = 21 / 167
= 1186 mod 6829

(411, 2586i) 569=1 mod 6829

5*2833 = 14165

94, 74u=94, v=75

a=3211,b=14100,c=14461

alpha/2 = 19 / 169
= 3354 mod 6829

(982, 2049i) 1138=1 mod 6829

14461

94, 76u=94, v=77

a=2907,b=14476,c=14765

alpha/2 = 17 / 171
= 6270 mod 6829

(2390, 2473i) 1707=1 mod 6829

5*2953 = 14765

94, 78u=94, v=79

a=2595,b=14852,c=15077

alpha/2 = 15 / 173
= 2408 mod 6829

(1774, 3161i) 1707=1 mod 6829

15077

94, 80u=94, v=81

a=2275,b=15228,c=15397

alpha/2 = 13 / 175
= 4995 mod 6829

(932, 2039i) 1707=1 mod 6829

89*173 = 15397

94, 82u=94, v=83

a=1947,b=15604,c=15725

alpha/2 = 11 / 177
= 3974 mod 6829

(640, 1002i) 569=1 mod 6829

5*5*17*37 = 15725

94, 84u=94, v=85

a=1611,b=15980,c=16061

alpha/2 = 9 / 179
= 4540 mod 6829

(845, 2942i) 1707=1 mod 6829

16061

94, 86u=94, v=87

a=1267,b=16356,c=16405

alpha/2 = 7 / 181
= 981 mod 6829

(623, 2401i) 1138=1 mod 6829

5*17*193 = 16405

94, 88u=94, v=89

a=915,b=16732,c=16757

alpha/2 = 5 / 183
= 821 mod 6829

(430, 2079i) 3414=1 mod 6829

13*1289 = 16757

94, 90u=94, v=91

a=555,b=17108,c=17117

alpha/2 = 3 / 185
= 2141 mod 6829

(1764, 1854i) 1138=1 mod 6829

17117

94, 92u=94, v=93 f(u,93)=u2+8649;↓

a=187,b=17484,c=17485

alpha/2 = 1 / 187
= 5843 mod 6829

(2178, 2641i) 1707=1 mod 6829

5*13*269 = 17485

95, 1u=95, v=2

a=9021,b=380,c=9029

alpha/2 = 93 / 97
= 1409 mod 6829

(148, 3166i) 3414=1 mod 6829

9029

95, 3u=95, v=4

a=9009,b=760,c=9041

alpha/2 = 91 / 99
= 6554 mod 6829

(1063, 1321i) 3414=1 mod 6829

9041

95, 5u=95, v=6 → 81, 50

a=8989,b=1140,c=9061

alpha/2 = 89 / 101
= 1556 mod 6829

(1543, 2901i) 3414=1 mod 6829

13*17*41 = 9061

95, 7u=95, v=8 → 92, 25

a=8961,b=1520,c=9089

alpha/2 = 87 / 103
= 3780 mod 6829

(688, 1208i) 1707=1 mod 6829

61*149 = 9089

95, 995, 1095, 11u=95, v=12 → 87, 40

a=8881,b=2280,c=9169

alpha/2 = 83 / 107
= 639 mod 6829

(211, 1752i) 1707=1 mod 6829

53*173 = 9169

95, 13u=95, v=14

a=8829,b=2660,c=9221

alpha/2 = 81 / 109
= 314 mod 6829

(515, 1872i) 3414=1 mod 6829

9221

95, 15u=95, v=16

a=8769,b=3040,c=9281

alpha/2 = 79 / 111
= 2154 mod 6829

(335, 2285i) 1138=1 mod 6829

9281

95, 17u=95, v=18

a=8701,b=3420,c=9349

alpha/2 = 77 / 113
= 3808 mod 6829

(1462, 2147i) 1707=1 mod 6829

9349

95, 1995, 2095, 21u=95, v=22 → 97, 10

a=8541,b=4180,c=9509

alpha/2 = 73 / 117
= 2919 mod 6829

(766, 1039i) 1707=1 mod 6829

37*257 = 9509

95, 23u=95, v=24

a=8449,b=4560,c=9601

alpha/2 = 71 / 119
= 5108 mod 6829

(2186, 2394i) 3414=1 mod 6829

9601

95, 25u=95, v=26 → 74, 65

a=8349,b=4940,c=9701

alpha/2 = 69 / 121
= 5983 mod 6829

(1256, 2747i) 3414=1 mod 6829

89*109 = 9701

95, 27u=95, v=28 → 97, 20

a=8241,b=5320,c=9809

alpha/2 = 67 / 123
= 2610 mod 6829

(1072, 1969i) 1707=1 mod 6829

17*577 = 9809

95, 2995, 3095, 31u=95, v=32

a=8001,b=6080,c=10049

alpha/2 = 63 / 127
= 4356 mod 6829

(1586, 2331i) 1138=1 mod 6829

13*773 = 10049

95, 33u=95, v=34

a=7869,b=6460,c=10181

alpha/2 = 61 / 129
= 2965 mod 6829

(1076, 1196i) 3414=1 mod 6829

10181

95, 35u=95, v=36

a=7729,b=6840,c=10321

alpha/2 = 59 / 131
= 4640 mod 6829

(1410, 1971i) 569=1 mod 6829

10321

95, 3795, 3895, 3995, 4095, 41u=95, v=42

a=7261,b=7980,c=10789

alpha/2 = 53 / 137
= 6630 mod 6829

(1761, 2359i) 1707=1 mod 6829

10789

95, 43u=95, v=44

a=7089,b=8360,c=10961

alpha/2 = 51 / 139
= 5552 mod 6829

(1547, 1939i) 1138=1 mod 6829

97*113 = 10961

95, 45u=95, v=46 → 79, 70

a=6909,b=8740,c=11141

alpha/2 = 49 / 141
= 969 mod 6829

(76, 1474i) 3414=1 mod 6829

13*857 = 11141

95, 47u=95, v=48

a=6721,b=9120,c=11329

alpha/2 = 47 / 143
= 6113 mod 6829

(3114, 3371i) 569=1 mod 6829

11329

95, 4995, 5095, 51u=95, v=52 → 80, 73

a=6321,b=9880,c=11729

alpha/2 = 43 / 147
= 6086 mod 6829

(67, 1977i) 1707=1 mod 6829

37*317 = 11729

95, 53u=95, v=54

a=6109,b=10260,c=11941

alpha/2 = 41 / 149
= 4446 mod 6829

(527, 3078i) 1138=1 mod 6829

11941

95, 55u=95, v=56

a=5889,b=10640,c=12161

alpha/2 = 39 / 151
= 4568 mod 6829

(784, 2917i) 1707=1 mod 6829

12161

95, 57u=95, v=58

a=5661,b=11020,c=12389

alpha/2 = 37 / 153
= 6249 mod 6829

(383, 3216i) 1707=1 mod 6829

13*953 = 12389

95, 5995, 6095, 61u=95, v=62

a=5181,b=11780,c=12869

alpha/2 = 33 / 157
= 2871 mod 6829

(1954, 3326i) 3414=1 mod 6829

17*757 = 12869

95, 63u=95, v=64

a=4929,b=12160,c=13121

alpha/2 = 31 / 159
= 6142 mod 6829

(1040, 3252i) 3414=1 mod 6829

13121

95, 65u=95, v=66

a=4669,b=12540,c=13381

alpha/2 = 29 / 161
= 1103 mod 6829

(2412, 2852i) 569=1 mod 6829

13381

95, 67u=95, v=68

a=4401,b=12920,c=13649

alpha/2 = 27 / 163
= 6494 mod 6829

(82, 489i) 3414=1 mod 6829

13649

95, 6995, 7095, 71u=95, v=72

a=3841,b=13680,c=14209

alpha/2 = 23 / 167
= 6502 mod 6829

(2330, 3265i) 3414=1 mod 6829

13*1093 = 14209

95, 73u=95, v=74

a=3549,b=14060,c=14501

alpha/2 = 21 / 169
= 6223 mod 6829

(93, 1725i) 569=1 mod 6829

17*853 = 14501

95, 7595, 7695, 77u=95, v=78

a=2941,b=14820,c=15109

alpha/2 = 17 / 173
= 908 mod 6829

(238, 2423i) 1707=1 mod 6829

29*521 = 15109

95, 7995, 8095, 81u=95, v=82

a=2301,b=15580,c=15749

alpha/2 = 13 / 177
= 6559 mod 6829

(2137, 3355i) 3414=1 mod 6829

15749

95, 83u=95, v=84

a=1969,b=15960,c=16081

alpha/2 = 11 / 179
= 1755 mod 6829

(512, 2206i) 569=1 mod 6829

13*1237 = 16081

95, 85u=95, v=86

a=1629,b=16340,c=16421

alpha/2 = 9 / 181
= 4188 mod 6829

(1089, 1601i) 1707=1 mod 6829

16421

95, 87u=95, v=88

a=1281,b=16720,c=16769

alpha/2 = 7 / 183
= 3881 mod 6829

(803, 2420i) 3414=1 mod 6829

41*409 = 16769

95, 8995, 9095, 91u=95, v=92

a=561,b=17480,c=17489

alpha/2 = 3 / 187
= 3871 mod 6829

(1616, 2786i) 1138=1 mod 6829

17489

95, 93u=95, v=94 f(u,94)=u2+8836;↓

a=189,b=17860,c=17861

alpha/2 = 1 / 189
= 2457 mod 6829

(351, 1952i) 569=1 mod 6829

53*337 = 17861

u=96, v=1 f(96,v)=9216+v2;→ → 89, 36

a=9215,b=192,c=9217

alpha/2 = 95 / 97
= 705 mod 6829

(796, 1201i) 569=1 mod 6829

13*709 = 9217

96, 296, 396, 4u=96, v=5

a=9191,b=960,c=9241

alpha/2 = 91 / 101
= 2435 mod 6829

(544, 2249i) 1138=1 mod 6829

9241

96, 6u=96, v=7 → 81, 52

a=9167,b=1344,c=9265

alpha/2 = 89 / 103
= 2454 mod 6829

(707, 2866i) 1707=1 mod 6829

5*17*109 = 9265

96, 896, 996, 10u=96, v=11

a=9095,b=2112,c=9337

alpha/2 = 85 / 107
= 1724 mod 6829

(59, 718i) 3414=1 mod 6829

9337

96, 12u=96, v=13 → 69, 68

a=9047,b=2496,c=9385

alpha/2 = 83 / 109
= 1755 mod 6829

(512, 2206i) 569=1 mod 6829

5*1877 = 9385

96, 1496, 1596, 16u=96, v=17 → 87, 44

a=8927,b=3264,c=9505

alpha/2 = 79 / 113
= 182 mod 6829

(550, 2517i) 1138=1 mod 6829

5*1901 = 9505

96, 18u=96, v=19 → 91, 36

a=8855,b=3648,c=9577

alpha/2 = 77 / 115
= 1604 mod 6829

(389, 2708i) 569=1 mod 6829

61*157 = 9577

96, 2096, 2196, 22u=96, v=23 → 76, 63

a=8687,b=4416,c=9745

alpha/2 = 73 / 119
= 58 mod 6829

(139, 1175i) 1138=1 mod 6829

5*1949 = 9745

96, 24u=96, v=25 → 79, 60

a=8591,b=4800,c=9841

alpha/2 = 71 / 121
= 4177 mod 6829

(733, 1828i) 3414=1 mod 6829

13*757 = 9841

96, 2696, 2796, 28u=96, v=29 → 99, 16

a=8375,b=5568,c=10057

alpha/2 = 67 / 125
= 5573 mod 6829

(1731, 2515i) 3414=1 mod 6829

89*113 = 10057

96, 30u=96, v=31

a=8255,b=5952,c=10177

alpha/2 = 65 / 127
= 592 mod 6829

(757, 3162i) 1138=1 mod 6829

10177

96, 3296, 3396, 34u=96, v=35

a=7991,b=6720,c=10441

alpha/2 = 61 / 131
= 5839 mod 6829

(1590, 2409i) 3414=1 mod 6829

53*197 = 10441

96, 36u=96, v=37 → 91, 48 → 99, 28

a=7847,b=7104,c=10585

alpha/2 = 59 / 133
= 3646 mod 6829

(127, 1329i) 569=1 mod 6829

5*29*73 = 10585

96, 3896, 3996, 40u=96, v=41

a=7535,b=7872,c=10897

alpha/2 = 55 / 137
= 5334 mod 6829

(487, 2637i) 569=1 mod 6829

17*641 = 10897

96, 42u=96, v=43 → 92, 51

a=7367,b=8256,c=11065

alpha/2 = 53 / 139
= 4029 mod 6829

(443, 1551i) 1138=1 mod 6829

5*2213 = 11065

96, 4496, 4596, 46u=96, v=47 → 79, 72

a=7007,b=9024,c=11425

alpha/2 = 49 / 143
= 1433 mod 6829

(212, 1887i) 1707=1 mod 6829

5*5*457 = 11425

96, 48u=96, v=49

a=6815,b=9408,c=11617

alpha/2 = 47 / 145
= 330 mod 6829

(601, 619i) 1707=1 mod 6829

11617

96, 5096, 5196, 52u=96, v=53

a=6407,b=10176,c=12025

alpha/2 = 43 / 149
= 4996 mod 6829

(1075, 3105i) 1707=1 mod 6829

5*5*13*37 = 12025

96, 54u=96, v=55

a=6191,b=10560,c=12241

alpha/2 = 41 / 151
= 950 mod 6829

(361, 1501i) 1707=1 mod 6829

12241

96, 5696, 5796, 58u=96, v=59

a=5735,b=11328,c=12697

alpha/2 = 37 / 155
= 3613 mod 6829

(26, 1548i) 1138=1 mod 6829

12697

96, 60u=96, v=61 → 99, 56

a=5495,b=11712,c=12937

alpha/2 = 35 / 157
= 3045 mod 6829

(69, 1451i) 569=1 mod 6829

17*761 = 12937

96, 6296, 6396, 64u=96, v=65

a=4991,b=12480,c=13441

alpha/2 = 31 / 161
= 2121 mod 6829

(23, 981i) 569=1 mod 6829

13441

96, 66u=96, v=67

a=4727,b=12864,c=13705

alpha/2 = 29 / 163
= 3687 mod 6829

(419, 1643i) 3414=1 mod 6829

5*2741 = 13705

96, 6896, 6996, 70u=96, v=71

a=4175,b=13632,c=14257

alpha/2 = 25 / 167
= 4989 mod 6829

(520, 741i) 1707=1 mod 6829

53*269 = 14257

96, 72u=96, v=73

a=3887,b=14016,c=14545

alpha/2 = 23 / 169
= 2263 mod 6829

(628, 731i) 569=1 mod 6829

5*2909 = 14545

96, 7496, 7596, 76u=96, v=77

a=3287,b=14784,c=15145

alpha/2 = 19 / 173
= 6237 mod 6829

(757, 3162i) 1138=1 mod 6829

5*13*233 = 15145

96, 78u=96, v=79

a=2975,b=15168,c=15457

alpha/2 = 17 / 175
= 4956 mod 6829

(1100, 2898i) 1707=1 mod 6829

13*29*41 = 15457

96, 8096, 8196, 82u=96, v=83

a=2327,b=15936,c=16105

alpha/2 = 13 / 179
= 5799 mod 6829

(107, 947i) 1138=1 mod 6829

5*3221 = 16105

96, 84u=96, v=85

a=1991,b=16320,c=16441

alpha/2 = 11 / 181
= 566 mod 6829

(971, 3267i) 3414=1 mod 6829

41*401 = 16441

96, 8696, 8796, 88u=96, v=89

a=1295,b=17088,c=17137

alpha/2 = 7 / 185
= 443 mod 6829

(1059, 1621i) 1707=1 mod 6829

17137

96, 90u=96, v=91

a=935,b=17472,c=17497

alpha/2 = 5 / 187
= 1899 mod 6829

(2203, 2250i) 1138=1 mod 6829

17497

96, 9296, 9396, 94u=96, v=95 f(u,95)=u2+9025;↓

a=191,b=18240,c=18241

alpha/2 = 1 / 191
= 4505 mod 6829

(1207, 1650i) 1707=1 mod 6829

17*29*37 = 18241

97, 1u=97, v=2

a=9405,b=388,c=9413

alpha/2 = 95 / 99
= 6692 mod 6829

(147, 349i) 1138=1 mod 6829

9413

97, 3u=97, v=4 → 73, 64

a=9393,b=776,c=9425

alpha/2 = 93 / 101
= 3314 mod 6829

(95, 2819i) 1707=1 mod 6829

5*5*13*29 = 9425

97, 5u=97, v=6 → 74, 63

a=9373,b=1164,c=9445

alpha/2 = 91 / 103
= 1128 mod 6829

(908, 1254i) 569=1 mod 6829

5*1889 = 9445

97, 7u=97, v=8

a=9345,b=1552,c=9473

alpha/2 = 89 / 105
= 261 mod 6829

(247, 3007i) 1707=1 mod 6829

9473

97, 9u=97, v=10 → 95, 22

a=9309,b=1940,c=9509

alpha/2 = 87 / 107
= 2809 mod 6829

(101, 3108i) 1138=1 mod 6829

37*257 = 9509

97, 11u=97, v=12 → 92, 33

a=9265,b=2328,c=9553

alpha/2 = 85 / 109
= 3196 mod 6829

(1744, 1836i) 3414=1 mod 6829

41*233 = 9553

97, 13u=97, v=14 → 79, 58 → 98, 1

a=9213,b=2716,c=9605

alpha/2 = 83 / 111
= 6153 mod 6829

(3138, 3207i) 569=1 mod 6829

5*17*113 = 9605

97, 15u=97, v=16 → 71, 68

a=9153,b=3104,c=9665

alpha/2 = 81 / 113
= 3385 mod 6829

(972, 1357i) 1707=1 mod 6829

5*1933 = 9665

97, 17u=97, v=18

a=9085,b=3492,c=9733

alpha/2 = 79 / 115
= 4395 mod 6829

(1779, 2934i) 569=1 mod 6829

9733

97, 19u=97, v=20 → 95, 28

a=9009,b=3880,c=9809

alpha/2 = 77 / 117
= 5137 mod 6829

(1282, 2659i) 1138=1 mod 6829

17*577 = 9809

97, 21u=97, v=22 → 98, 17

a=8925,b=4268,c=9893

alpha/2 = 75 / 119
= 1837 mod 6829

(873, 1113i) 1707=1 mod 6829

13*761 = 9893

97, 23u=97, v=24 → 92, 39

a=8833,b=4656,c=9985

alpha/2 = 73 / 121
= 2371 mod 6829

(2000, 2673i) 3414=1 mod 6829

5*1997 = 9985

97, 25u=97, v=26 → 79, 62

a=8733,b=5044,c=10085

alpha/2 = 71 / 123
= 3887 mod 6829

(1259, 2661i) 1138=1 mod 6829

5*2017 = 10085

97, 27u=97, v=28

a=8625,b=5432,c=10193

alpha/2 = 69 / 125
= 3497 mod 6829

(1185, 1257i) 1707=1 mod 6829

10193

97, 29u=97, v=30 → 90, 47

a=8509,b=5820,c=10309

alpha/2 = 67 / 127
= 3657 mod 6829

(235, 1058i) 1707=1 mod 6829

13*13*61 = 10309

97, 31u=97, v=32

a=8385,b=6208,c=10433

alpha/2 = 65 / 129
= 6406 mod 6829

(267, 2729i) 3414=1 mod 6829

10433

97, 33u=97, v=34 → 98, 31

a=8253,b=6596,c=10565

alpha/2 = 63 / 131
= 209 mod 6829

(1024, 2316i) 1138=1 mod 6829

5*2113 = 10565

97, 35u=97, v=36 → 87, 56

a=8113,b=6984,c=10705

alpha/2 = 61 / 133
= 6316 mod 6829

(2178, 2641i) 1707=1 mod 6829

5*2141 = 10705

97, 37u=97, v=38

a=7965,b=7372,c=10853

alpha/2 = 59 / 135
= 6273 mod 6829

(2267, 2914i) 3414=1 mod 6829

10853

97, 39u=97, v=40

a=7809,b=7760,c=11009

alpha/2 = 57 / 137
= 4038 mod 6829

(590, 3137i) 1707=1 mod 6829

101*109 = 11009

97, 41u=97, v=42

a=7645,b=8148,c=11173

alpha/2 = 55 / 139
= 2506 mod 6829

(113, 3190i) 1138=1 mod 6829

11173

97, 43u=97, v=44

a=7473,b=8536,c=11345

alpha/2 = 53 / 141
= 630 mod 6829

(1133, 2625i) 569=1 mod 6829

5*2269 = 11345

97, 45u=97, v=46

a=7293,b=8924,c=11525

alpha/2 = 51 / 143
= 3582 mod 6829

(35, 2447i) 3414=1 mod 6829

5*5*461 = 11525

97, 47u=97, v=48 → 88, 63

a=7105,b=9312,c=11713

alpha/2 = 49 / 145
= 3250 mod 6829

(839, 1978i) 569=1 mod 6829

13*17*53 = 11713

97, 49u=97, v=50

a=6909,b=9700,c=11909

alpha/2 = 47 / 147
= 5064 mod 6829

(1158, 3065i) 1707=1 mod 6829

11909

97, 51u=97, v=52

a=6705,b=10088,c=12113

alpha/2 = 45 / 149
= 5546 mod 6829

(727, 2714i) 1707=1 mod 6829

12113

97, 53u=97, v=54 → 79, 78

a=6493,b=10476,c=12325

alpha/2 = 43 / 151
= 4161 mod 6829

(656, 1985i) 1707=1 mod 6829

5*5*17*29 = 12325

97, 55u=97, v=56 → 89, 68

a=6273,b=10864,c=12545

alpha/2 = 41 / 153
= 6740 mod 6829

(1513, 2012i) 1707=1 mod 6829

5*13*193 = 12545

97, 57u=97, v=58

a=6045,b=11252,c=12773

alpha/2 = 39 / 155
= 4362 mod 6829

(512, 2206i) 569=1 mod 6829

53*241 = 12773

97, 59u=97, v=60

a=5809,b=11640,c=13009

alpha/2 = 37 / 157
= 3219 mod 6829

(1129, 2387i) 569=1 mod 6829

13009

97, 61u=97, v=62

a=5565,b=12028,c=13253

alpha/2 = 35 / 159
= 2749 mod 6829

(2188, 2543i) 3414=1 mod 6829

29*457 = 13253

97, 63u=97, v=64 → 92, 71

a=5313,b=12416,c=13505

alpha/2 = 33 / 161
= 3139 mod 6829

(1197, 1706i) 1707=1 mod 6829

5*37*73 = 13505

97, 65u=97, v=66

a=5053,b=12804,c=13765

alpha/2 = 31 / 163
= 880 mod 6829

(591, 1077i) 3414=1 mod 6829

5*2753 = 13765

97, 67u=97, v=68

a=4785,b=13192,c=14033

alpha/2 = 29 / 165
= 2649 mod 6829

(2660, 2992i) 3414=1 mod 6829

14033

97, 69u=97, v=70

a=4509,b=13580,c=14309

alpha/2 = 27 / 167
= 3476 mod 6829

(126, 2556i) 3414=1 mod 6829

41*349 = 14309

97, 71u=97, v=72

a=4225,b=13968,c=14593

alpha/2 = 25 / 169
= 5132 mod 6829

(32, 329i) 1138=1 mod 6829

14593

97, 73u=97, v=74

a=3933,b=14356,c=14885

alpha/2 = 23 / 171
= 5671 mod 6829

(1914, 2658i) 1707=1 mod 6829

5*13*229 = 14885

97, 75u=97, v=76

a=3633,b=14744,c=15185

alpha/2 = 21 / 173
= 4737 mod 6829

(3070, 3179i) 3414=1 mod 6829

5*3037 = 15185

97, 77u=97, v=78

a=3325,b=15132,c=15493

alpha/2 = 19 / 175
= 1522 mod 6829

(1003, 3129i) 3414=1 mod 6829

15493

97, 79u=97, v=80

a=3009,b=15520,c=15809

alpha/2 = 17 / 177
= 4900 mod 6829

(1992, 2158i) 1138=1 mod 6829

15809

97, 81u=97, v=82

a=2685,b=15908,c=16133

alpha/2 = 15 / 179
= 3014 mod 6829

(1075, 3105i) 1707=1 mod 6829

13*17*73 = 16133

97, 83u=97, v=84

a=2353,b=16296,c=16465

alpha/2 = 13 / 181
= 3773 mod 6829

(2857, 3298i) 3414=1 mod 6829

5*37*89 = 16465

97, 85u=97, v=86

a=2013,b=16684,c=16805

alpha/2 = 11 / 183
= 3172 mod 6829

(235, 1058i) 1707=1 mod 6829

5*3361 = 16805

97, 87u=97, v=88

a=1665,b=17072,c=17153

alpha/2 = 9 / 185
= 6423 mod 6829

(509, 1378i) 1138=1 mod 6829

17*1009 = 17153

97, 89u=97, v=90

a=1309,b=17460,c=17509

alpha/2 = 7 / 187
= 6756 mod 6829

(40, 2993i) 3414=1 mod 6829

17509

97, 91u=97, v=92

a=945,b=17848,c=17873

alpha/2 = 5 / 189
= 5456 mod 6829

(2010, 2187i) 3414=1 mod 6829

61*293 = 17873

97, 93u=97, v=94

a=573,b=18236,c=18245

alpha/2 = 3 / 191
= 6686 mod 6829

(746, 2585i) 3414=1 mod 6829

5*41*89 = 18245

97, 95u=97, v=96 f(u,96)=u2+9216;↓

a=193,b=18624,c=18625

alpha/2 = 1 / 193
= 4706 mod 6829

(1367, 2307i) 3414=1 mod 6829

5*5*5*149 = 18625

u=98, v=1 f(98,v)=9604+v2;→ → 79, 58

a=9603,b=196,c=9605

alpha/2 = 97 / 99
= 6761 mod 6829

(124, 1604i) 3414=1 mod 6829

5*17*113 = 9605

98, 2u=98, v=3

a=9595,b=588,c=9613

alpha/2 = 95 / 101
= 4193 mod 6829

(324, 3075i) 3414=1 mod 6829

9613

98, 4u=98, v=5

a=9579,b=980,c=9629

alpha/2 = 93 / 103
= 6631 mod 6829

(1024, 2316i) 1138=1 mod 6829

9629

98, 698, 798, 8u=98, v=9 → 73, 66

a=9523,b=1764,c=9685

alpha/2 = 89 / 107
= 3894 mod 6829

(1735, 2210i) 1707=1 mod 6829

5*13*149 = 9685

98, 10u=98, v=11 → 91, 38

a=9483,b=2156,c=9725

alpha/2 = 87 / 109
= 4637 mod 6829

(930, 3310i) 1707=1 mod 6829

5*5*389 = 9725

98, 12u=98, v=13 → 77, 62

a=9435,b=2548,c=9773

alpha/2 = 85 / 111
= 4738 mod 6829

(978, 3126i) 1707=1 mod 6829

29*337 = 9773

98, 14u=98, v=15

a=9379,b=2940,c=9829

alpha/2 = 83 / 113
= 6588 mod 6829

(2391, 2596i) 1138=1 mod 6829

9829

98, 16u=98, v=17 → 97, 22

a=9315,b=3332,c=9893

alpha/2 = 81 / 115
= 357 mod 6829

(2555, 2952i) 569=1 mod 6829

13*761 = 9893

98, 18u=98, v=19 → 74, 67

a=9243,b=3724,c=9965

alpha/2 = 79 / 117
= 6246 mod 6829

(428, 2566i) 3414=1 mod 6829

5*1993 = 9965

98, 2098, 2198, 22u=98, v=23

a=9075,b=4508,c=10133

alpha/2 = 75 / 121
= 565 mod 6829

(288, 1741i) 3414=1 mod 6829

10133

98, 24u=98, v=25 → 73, 70

a=8979,b=4900,c=10229

alpha/2 = 73 / 123
= 1111 mod 6829

(604, 2913i) 3414=1 mod 6829

53*193 = 10229

98, 26u=98, v=27

a=8875,b=5292,c=10333

alpha/2 = 71 / 125
= 1421 mod 6829

(1238, 2724i) 569=1 mod 6829

10333

98, 28u=98, v=29 → 82, 61

a=8763,b=5684,c=10445

alpha/2 = 69 / 127
= 6722 mod 6829

(736, 3197i) 3414=1 mod 6829

5*2089 = 10445

98, 30u=98, v=31 → 97, 34

a=8643,b=6076,c=10565

alpha/2 = 67 / 129
= 4712 mod 6829

(844, 2451i) 1138=1 mod 6829

5*2113 = 10565

98, 32u=98, v=33 → 82, 63

a=8515,b=6468,c=10693

alpha/2 = 65 / 131
= 1408 mod 6829

(95, 2819i) 1707=1 mod 6829

17*17*37 = 10693

98, 3498, 3598, 36u=98, v=37

a=8235,b=7252,c=10973

alpha/2 = 61 / 135
= 3592 mod 6829

(1709, 3049i) 3414=1 mod 6829

10973

98, 38u=98, v=39 → 78, 71

a=8083,b=7644,c=11125

alpha/2 = 59 / 137
= 2742 mod 6829

(200, 2081i) 3414=1 mod 6829

5*5*5*89 = 11125

98, 40u=98, v=41 → 89, 58

a=7923,b=8036,c=11285

alpha/2 = 57 / 139
= 983 mod 6829

(507, 1119i) 3414=1 mod 6829

5*37*61 = 11285

98, 42u=98, v=43

a=7755,b=8428,c=11453

alpha/2 = 55 / 141
= 3875 mod 6829

(1072, 1969i) 1707=1 mod 6829

13*881 = 11453

98, 44u=98, v=45

a=7579,b=8820,c=11629

alpha/2 = 53 / 143
= 5731 mod 6829

(1453, 1494i) 3414=1 mod 6829

29*401 = 11629

98, 46u=98, v=47

a=7395,b=9212,c=11813

alpha/2 = 51 / 145
= 6170 mod 6829

(1384, 3029i) 1707=1 mod 6829

11813

98, 4898, 4998, 50u=98, v=51

a=7003,b=9996,c=12205

alpha/2 = 47 / 149
= 6096 mod 6829

(1349, 1389i) 1707=1 mod 6829

5*2441 = 12205

98, 52u=98, v=53

a=6795,b=10388,c=12413

alpha/2 = 45 / 151
= 543 mod 6829

(1651, 1895i) 1707=1 mod 6829

12413

98, 54u=98, v=55

a=6579,b=10780,c=12629

alpha/2 = 43 / 153
= 3571 mod 6829

(2296, 2612i) 569=1 mod 6829

73*173 = 12629

98, 56u=98, v=57

a=6355,b=11172,c=12853

alpha/2 = 41 / 155
= 5111 mod 6829

(964, 1816i) 569=1 mod 6829

12853

98, 58u=98, v=59

a=6123,b=11564,c=13085

alpha/2 = 39 / 157
= 3393 mod 6829

(2871, 3150i) 1707=1 mod 6829

5*2617 = 13085

98, 60u=98, v=61 → 86, 77

a=5883,b=11956,c=13325

alpha/2 = 37 / 159
= 4467 mod 6829

(2294, 3030i) 569=1 mod 6829

5*5*13*41 = 13325

98, 6298, 6398, 64u=98, v=65

a=5379,b=12740,c=13829

alpha/2 = 33 / 163
= 4902 mod 6829

(927, 2870i) 3414=1 mod 6829

13829

98, 66u=98, v=67

a=5115,b=13132,c=14093

alpha/2 = 31 / 165
= 5422 mod 6829

(1239, 3285i) 1707=1 mod 6829

17*829 = 14093

98, 68u=98, v=69

a=4843,b=13524,c=14365

alpha/2 = 29 / 167
= 1963 mod 6829

(2318, 2746i) 1707=1 mod 6829

5*13*13*17 = 14365

98, 70u=98, v=71 → 89, 82

a=4563,b=13916,c=14645

alpha/2 = 27 / 169
= 1172 mod 6829

(369, 2242i) 569=1 mod 6829

5*29*101 = 14645

98, 72u=98, v=73

a=4275,b=14308,c=14933

alpha/2 = 25 / 171
= 3195 mod 6829

(669, 3217i) 1707=1 mod 6829

109*137 = 14933

98, 74u=98, v=75

a=3979,b=14700,c=15229

alpha/2 = 23 / 173
= 3237 mod 6829

(1709, 3049i) 3414=1 mod 6829

97*157 = 15229

98, 7698, 7798, 78u=98, v=79

a=3363,b=15484,c=15845

alpha/2 = 19 / 177
= 656 mod 6829

(744, 2968i) 1138=1 mod 6829

5*3169 = 15845

98, 80u=98, v=81

a=3043,b=15876,c=16165

alpha/2 = 17 / 179
= 229 mod 6829

(1023, 2082i) 3414=1 mod 6829

5*53*61 = 16165

98, 82u=98, v=83

a=2715,b=16268,c=16493

alpha/2 = 15 / 181
= 151 mod 6829

(832, 2709i) 1707=1 mod 6829

16493

98, 84u=98, v=85

a=2379,b=16660,c=16829

alpha/2 = 13 / 183
= 6232 mod 6829

(1050, 2015i) 1138=1 mod 6829

16829

98, 86u=98, v=87

a=2035,b=17052,c=17173

alpha/2 = 11 / 185
= 5574 mod 6829

(360, 1087i) 3414=1 mod 6829

13*1321 = 17173

98, 88u=98, v=89

a=1683,b=17444,c=17525

alpha/2 = 9 / 187
= 4784 mod 6829

(52, 1860i) 1707=1 mod 6829

5*5*701 = 17525

98, 9098, 9198, 92u=98, v=93

a=955,b=18228,c=18253

alpha/2 = 5 / 191
= 2038 mod 6829

(2258, 2980i) 1138=1 mod 6829

18253

98, 94u=98, v=95

a=579,b=18620,c=18629

alpha/2 = 3 / 193
= 460 mod 6829

(2518, 2649i) 1707=1 mod 6829

13*1433 = 18629

98, 96u=98, v=97 f(u,97)=u2+9409;↓

a=195,b=19012,c=19013

alpha/2 = 1 / 195
= 5113 mod 6829

(440, 2978i) 1138=1 mod 6829

19013

99, 1u=99, v=2 → 78, 61

a=9797,b=396,c=9805

alpha/2 = 97 / 101
= 5072 mod 6829

(1239, 3285i) 1707=1 mod 6829

5*37*53 = 9805

99, 3u=99, v=4

a=9785,b=792,c=9817

alpha/2 = 95 / 103
= 5305 mod 6829

(1563, 2833i) 3414=1 mod 6829

9817

99, 599, 699, 7u=99, v=8 → 84, 53

a=9737,b=1584,c=9865

alpha/2 = 91 / 107
= 4979 mod 6829

(143, 1782i) 1138=1 mod 6829

5*1973 = 9865

99, 9u=99, v=10

a=9701,b=1980,c=9901

alpha/2 = 89 / 109
= 6078 mod 6829

(1041, 2793i) 1138=1 mod 6829

9901

99, 1199, 1299, 13u=99, v=14 → 86, 51

a=9605,b=2772,c=9997

alpha/2 = 85 / 113
= 2962 mod 6829

(432, 2560i) 3414=1 mod 6829

13*769 = 9997

99, 15u=99, v=16 → 96, 29

a=9545,b=3168,c=10057

alpha/2 = 83 / 115
= 3148 mod 6829

(2690, 2988i) 569=1 mod 6829

89*113 = 10057

99, 1799, 1899, 19u=99, v=20

a=9401,b=3960,c=10201

alpha/2 = 79 / 119
= 5395 mod 6829

(1587, 1700i) 1707=1 mod 6829

101*101 = 10201

99, 2199, 2299, 2399, 2499, 25u=99, v=26

a=9125,b=5148,c=10477

alpha/2 = 73 / 125
= 6174 mod 6829

(1633, 2537i) 3414=1 mod 6829

10477

99, 27u=99, v=28 → 91, 48

a=9017,b=5544,c=10585

alpha/2 = 71 / 127
= 2958 mod 6829

(1616, 2786i) 1138=1 mod 6829

5*29*73 = 10585

99, 2999, 3099, 31u=99, v=32

a=8777,b=6336,c=10825

alpha/2 = 67 / 131
= 2607 mod 6829

(1598, 2311i) 3414=1 mod 6829

5*5*433 = 10825

99, 33u=99, v=34

a=8645,b=6732,c=10957

alpha/2 = 65 / 133
= 4827 mod 6829

(220, 1443i) 1707=1 mod 6829

10957

99, 3599, 3699, 37u=99, v=38 → 83, 66

a=8357,b=7524,c=11245

alpha/2 = 61 / 137
= 1446 mod 6829

(755, 911i) 3414=1 mod 6829

5*13*173 = 11245

99, 39u=99, v=40 → 76, 75

a=8201,b=7920,c=11401

alpha/2 = 59 / 139
= 6289 mod 6829

(400, 2529i) 569=1 mod 6829

13*877 = 11401

99, 4199, 4299, 4399, 4499, 45u=99, v=46

a=7685,b=9108,c=11917

alpha/2 = 53 / 145
= 2261 mod 6829

(784, 2917i) 1707=1 mod 6829

17*701 = 11917

99, 4799, 4899, 49u=99, v=50

a=7301,b=9900,c=12301

alpha/2 = 49 / 149
= 6646 mod 6829

(1125, 1188i) 3414=1 mod 6829

12301

99, 51u=99, v=52 → 88, 69

a=7097,b=10296,c=12505

alpha/2 = 47 / 151
= 3754 mod 6829

(157, 1670i) 3414=1 mod 6829

5*41*61 = 12505

99, 5399, 5499, 55u=99, v=56 → 96, 61

a=6665,b=11088,c=12937

alpha/2 = 43 / 155
= 5860 mod 6829

(76, 1474i) 3414=1 mod 6829

17*761 = 12937

99, 57u=99, v=58

a=6437,b=11484,c=13165

alpha/2 = 41 / 157
= 3567 mod 6829

(425, 3199i) 3414=1 mod 6829

5*2633 = 13165

99, 5999, 6099, 61u=99, v=62

a=5957,b=12276,c=13645

alpha/2 = 37 / 161
= 5175 mod 6829

(419, 1643i) 3414=1 mod 6829

5*2729 = 13645

99, 63u=99, v=64

a=5705,b=12672,c=13897

alpha/2 = 35 / 163
= 2095 mod 6829

(1996, 2462i) 569=1 mod 6829

13*1069 = 13897

99, 6599, 6699, 67u=99, v=68 → 93, 76

a=5177,b=13464,c=14425

alpha/2 = 31 / 167
= 450 mod 6829

(1131, 3154i) 1707=1 mod 6829

5*5*577 = 14425

99, 69u=99, v=70

a=4901,b=13860,c=14701

alpha/2 = 29 / 169
= 4041 mod 6829

(1820, 2575i) 3414=1 mod 6829

61*241 = 14701

99, 7199, 7299, 73u=99, v=74

a=4325,b=14652,c=15277

alpha/2 = 25 / 173
= 1737 mod 6829

(1015, 1172i) 1707=1 mod 6829

15277

99, 75u=99, v=76

a=4025,b=15048,c=15577

alpha/2 = 23 / 175
= 1483 mod 6829

(195, 884i) 3414=1 mod 6829

37*421 = 15577

99, 7799, 7899, 79u=99, v=80

a=3401,b=15840,c=16201

alpha/2 = 19 / 179
= 4273 mod 6829

(47, 2791i) 1138=1 mod 6829

17*953 = 16201

99, 81u=99, v=82

a=3077,b=16236,c=16525

alpha/2 = 17 / 181
= 3358 mod 6829

(749, 2069i) 569=1 mod 6829

5*5*661 = 16525

99, 8399, 8499, 85u=99, v=86

a=2405,b=17028,c=17197

alpha/2 = 13 / 185
= 4725 mod 6829

(321, 686i) 3414=1 mod 6829

29*593 = 17197

99, 8799, 8899, 8999, 9099, 91u=99, v=92

a=1337,b=18216,c=18265

alpha/2 = 7 / 191
= 4219 mod 6829

(1072, 1969i) 1707=1 mod 6829

5*13*281 = 18265

99, 93u=99, v=94

a=965,b=18612,c=18637

alpha/2 = 5 / 193
= 3043 mod 6829

(647, 1717i) 569=1 mod 6829

18637

99, 9599, 9699, 97u=99, v=98 f(u,98)=u2+9604;↓

a=197,b=19404,c=19405

alpha/2 = 1 / 197
= 104 mod 6829

(386, 726i) 3414=1 mod 6829

5*3881 = 19405