A biquadratic primesieve
Inhaltsverzeichnis

Development of
Algorithmic Constructions

23:47:27
DeutschEnglish
29.Nov 2021

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 = 8689


u=2, v=1 f(u,1)=u2+1;↓

a=3,b=4,c=5

alpha/2 = 1 / 3
= 5793 mod 8689

(1737, 3475i) 2172=1 mod 8689

5

3, 1u=3, v=2 f(u,2)=u2+4;↓

a=5,b=12,c=13

alpha/2 = 1 / 5
= 1738 mod 8689

(668, 3341i) 4344=1 mod 8689

13

u=4, v=1 f(4,v)=16+v2;→

a=15,b=8,c=17

alpha/2 = 3 / 5
= 5214 mod 8689

(512, 2044i) 2172=1 mod 8689

17

4, 2u=4, v=3 f(u,3)=u2+9;↓

a=7,b=24,c=25

alpha/2 = 1 / 7
= 3724 mod 8689

(3129, 4171i) 543=1 mod 8689

5*5 = 25

5, 1u=5, v=2

a=21,b=20,c=29

alpha/2 = 3 / 7
= 2483 mod 8689

(1797, 4194i) 1448=1 mod 8689

29

5, 3u=5, v=4 f(u,4)=u2+16;↓

a=9,b=40,c=41

alpha/2 = 1 / 9
= 1931 mod 8689

(636, 2966i) 1448=1 mod 8689

41

u=6, v=1 f(6,v)=36+v2;→

a=35,b=12,c=37

alpha/2 = 5 / 7
= 1242 mod 8689

(470, 2819i) 4344=1 mod 8689

37

6, 26, 36, 4u=6, v=5 f(u,5)=u2+25;↓

a=11,b=60,c=61

alpha/2 = 1 / 11
= 790 mod 8689

(1281, 3276i) 2172=1 mod 8689

61

7, 1u=7, v=2

a=45,b=28,c=53

alpha/2 = 5 / 9
= 966 mod 8689

(2460, 4262i) 1448=1 mod 8689

53

7, 3u=7, v=4 → 8, 1

a=33,b=56,c=65

alpha/2 = 3 / 11
= 2370 mod 8689

(2272, 2539i) 1448=1 mod 8689

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
= 3342 mod 8689

(921, 3271i) 1086=1 mod 8689

5*17 = 85

u=8, v=1 f(8,v)=64+v2;→ → 7, 4

a=63,b=16,c=65

alpha/2 = 7 / 9
= 4828 mod 8689

(402, 3208i) 4344=1 mod 8689

5*13 = 65

8, 2u=8, v=3

a=55,b=48,c=73

alpha/2 = 5 / 11
= 3950 mod 8689

(1072, 2856i) 181=1 mod 8689

73

8, 4u=8, v=5

a=39,b=80,c=89

alpha/2 = 3 / 13
= 1337 mod 8689

(1464, 2344i) 4344=1 mod 8689

89

8, 6u=8, v=7 f(u,7)=u2+49;↓

a=15,b=112,c=113

alpha/2 = 1 / 15
= 6372 mod 8689

(2076, 3615i) 4344=1 mod 8689

113

9, 1u=9, v=2 → 7, 6

a=77,b=36,c=85

alpha/2 = 7 / 11
= 5530 mod 8689

(1328, 1636i) 362=1 mod 8689

5*17 = 85

9, 3u=9, v=4

a=65,b=72,c=97

alpha/2 = 5 / 13
= 8021 mod 8689

(2597, 3672i) 4344=1 mod 8689

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
= 4089 mod 8689

(2277, 3954i) 4344=1 mod 8689

5*29 = 145

u=10, v=1 f(10,v)=100+v2;→

a=99,b=20,c=101

alpha/2 = 9 / 11
= 7110 mod 8689

(2323, 2838i) 1448=1 mod 8689

101

10, 2u=10, v=3

a=91,b=60,c=109

alpha/2 = 7 / 13
= 6016 mod 8689

(1276, 1356i) 181=1 mod 8689

109

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

a=51,b=140,c=149

alpha/2 = 3 / 17
= 3578 mod 8689

(1282, 4315i) 2172=1 mod 8689

149

10, 8u=10, v=9 f(u,9)=u2+81;↓

a=19,b=180,c=181

alpha/2 = 1 / 19
= 1372 mod 8689

(49, 912i) 1086=1 mod 8689

181

11, 1u=11, v=2

a=117,b=44,c=125

alpha/2 = 9 / 13
= 4011 mod 8689

(3268, 3754i) 724=1 mod 8689

5*5*5 = 125

11, 3u=11, v=4

a=105,b=88,c=137

alpha/2 = 7 / 15
= 1159 mod 8689

(635, 2601i) 4344=1 mod 8689

137

11, 5u=11, v=6

a=85,b=132,c=157

alpha/2 = 5 / 17
= 3067 mod 8689

(831, 2822i) 4344=1 mod 8689

157

11, 7u=11, v=8 → 13, 4

a=57,b=176,c=185

alpha/2 = 3 / 19
= 4116 mod 8689

(3898, 4275i) 1448=1 mod 8689

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
= 7034 mod 8689

(2360, 2595i) 1448=1 mod 8689

13*17 = 221

u=12, v=1 f(12,v)=144+v2;→ → 9, 8

a=143,b=24,c=145

alpha/2 = 11 / 13
= 2006 mod 8689

(659, 780i) 4344=1 mod 8689

5*29 = 145

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

a=119,b=120,c=169

alpha/2 = 7 / 17
= 2556 mod 8689

(2520, 2570i) 2172=1 mod 8689

13*13 = 169

12, 6u=12, v=7

a=95,b=168,c=193

alpha/2 = 5 / 19
= 6860 mod 8689

(1890, 3241i) 362=1 mod 8689

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
= 5289 mod 8689

(1410, 2327i) 4344=1 mod 8689

5*53 = 265

13, 1u=13, v=2

a=165,b=52,c=173

alpha/2 = 11 / 15
= 580 mod 8689

(2462, 2963i) 1448=1 mod 8689

173

13, 3u=13, v=4 → 11, 8

a=153,b=104,c=185

alpha/2 = 9 / 17
= 2045 mod 8689

(3146, 3711i) 4344=1 mod 8689

5*37 = 185

13, 5u=13, v=6 → 14, 3

a=133,b=156,c=205

alpha/2 = 7 / 19
= 915 mod 8689

(467, 2459i) 4344=1 mod 8689

5*41 = 205

13, 7u=13, v=8

a=105,b=208,c=233

alpha/2 = 5 / 21
= 414 mod 8689

(1604, 3691i) 4344=1 mod 8689

233

13, 9u=13, v=10

a=69,b=260,c=269

alpha/2 = 3 / 23
= 7178 mod 8689

(970, 1260i) 1086=1 mod 8689

269

13, 11u=13, v=12 f(u,12)=u2+144;↓

a=25,b=312,c=313

alpha/2 = 1 / 25
= 5561 mod 8689

(2664, 2887i) 724=1 mod 8689

313

u=14, v=1 f(14,v)=196+v2;→

a=195,b=28,c=197

alpha/2 = 13 / 15
= 4635 mod 8689

(2074, 2955i) 4344=1 mod 8689

197

14, 2u=14, v=3 → 13, 6

a=187,b=84,c=205

alpha/2 = 11 / 17
= 1534 mod 8689

(2925, 3729i) 4344=1 mod 8689

5*41 = 205

14, 4u=14, v=5 → 11, 10

a=171,b=140,c=221

alpha/2 = 9 / 19
= 3659 mod 8689

(78, 3695i) 4344=1 mod 8689

13*17 = 221

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

a=115,b=252,c=277

alpha/2 = 5 / 23
= 378 mod 8689

(972, 2479i) 724=1 mod 8689

277

14, 10u=14, v=11

a=75,b=308,c=317

alpha/2 = 3 / 25
= 7994 mod 8689

(465, 987i) 4344=1 mod 8689

317

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

a=27,b=364,c=365

alpha/2 = 1 / 27
= 3540 mod 8689

(856, 2928i) 2172=1 mod 8689

5*73 = 365

15, 1u=15, v=2

a=221,b=60,c=229

alpha/2 = 13 / 17
= 1023 mod 8689

(493, 646i) 4344=1 mod 8689

229

15, 3u=15, v=4

a=209,b=120,c=241

alpha/2 = 11 / 19
= 6403 mod 8689

(758, 3678i) 1448=1 mod 8689

241

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

a=161,b=240,c=289

alpha/2 = 7 / 23
= 2267 mod 8689

(993, 2947i) 543=1 mod 8689

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
= 2397 mod 8689

(744, 4169i) 724=1 mod 8689

421

u=16, v=1 f(16,v)=256+v2;→

a=255,b=32,c=257

alpha/2 = 15 / 17
= 512 mod 8689

(1419, 3347i) 724=1 mod 8689

257

16, 2u=16, v=3 → 12, 11

a=247,b=96,c=265

alpha/2 = 13 / 19
= 458 mod 8689

(1542, 2426i) 4344=1 mod 8689

5*53 = 265

16, 4u=16, v=5

a=231,b=160,c=281

alpha/2 = 11 / 21
= 7862 mod 8689

(4019, 4175i) 1448=1 mod 8689

281

16, 6u=16, v=7 → 17, 4

a=207,b=224,c=305

alpha/2 = 9 / 23
= 4156 mod 8689

(797, 1824i) 543=1 mod 8689

5*61 = 305

16, 8u=16, v=9

a=175,b=288,c=337

alpha/2 = 7 / 25
= 4171 mod 8689

(1366, 2397i) 1448=1 mod 8689

337

16, 10u=16, v=11 → 19, 4

a=135,b=352,c=377

alpha/2 = 5 / 27
= 322 mod 8689

(3412, 4172i) 2172=1 mod 8689

13*29 = 377

16, 12u=16, v=13 → 19, 8

a=87,b=416,c=425

alpha/2 = 3 / 29
= 7191 mod 8689

(1370, 1657i) 2172=1 mod 8689

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
= 6727 mod 8689

(18, 559i) 1086=1 mod 8689

13*37 = 481

17, 1u=17, v=2

a=285,b=68,c=293

alpha/2 = 15 / 19
= 3202 mod 8689

(1808, 2343i) 4344=1 mod 8689

293

17, 3u=17, v=4 → 16, 7

a=273,b=136,c=305

alpha/2 = 13 / 21
= 4552 mod 8689

(2223, 3590i) 362=1 mod 8689

5*61 = 305

17, 5u=17, v=6 → 18, 1

a=253,b=204,c=325

alpha/2 = 11 / 23
= 6045 mod 8689

(2967, 4063i) 1448=1 mod 8689

5*5*13 = 325

17, 7u=17, v=8

a=225,b=272,c=353

alpha/2 = 9 / 25
= 6604 mod 8689

(50, 2067i) 543=1 mod 8689

353

17, 9u=17, v=10

a=189,b=340,c=389

alpha/2 = 7 / 27
= 7402 mod 8689

(2994, 3351i) 1448=1 mod 8689

389

17, 11u=17, v=12

a=145,b=408,c=433

alpha/2 = 5 / 29
= 3296 mod 8689

(100, 581i) 4344=1 mod 8689

433

17, 13u=17, v=14 → 22, 1

a=93,b=476,c=485

alpha/2 = 3 / 31
= 2803 mod 8689

(2758, 3350i) 1448=1 mod 8689

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
= 6056 mod 8689

(1945, 3363i) 2172=1 mod 8689

5*109 = 545

u=18, v=1 f(18,v)=324+v2;→ → 17, 6

a=323,b=36,c=325

alpha/2 = 17 / 19
= 5946 mod 8689

(1819, 2032i) 4344=1 mod 8689

5*5*13 = 325

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

a=299,b=180,c=349

alpha/2 = 13 / 23
= 7934 mod 8689

(125, 449i) 1086=1 mod 8689

349

18, 6u=18, v=7

a=275,b=252,c=373

alpha/2 = 11 / 25
= 348 mod 8689

(2633, 4287i) 1448=1 mod 8689

373

18, 818, 918, 10u=18, v=11 → 21, 2

a=203,b=396,c=445

alpha/2 = 7 / 29
= 8090 mod 8689

(722, 1973i) 4344=1 mod 8689

5*89 = 445

18, 12u=18, v=13 → 22, 3

a=155,b=468,c=493

alpha/2 = 5 / 31
= 7568 mod 8689

(3524, 4212i) 4344=1 mod 8689

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
= 7696 mod 8689

(2594, 3899i) 1448=1 mod 8689

613

19, 1u=19, v=2 → 14, 13

a=357,b=76,c=365

alpha/2 = 17 / 21
= 6621 mod 8689

(1834, 4309i) 2172=1 mod 8689

5*73 = 365

19, 3u=19, v=4 → 16, 11

a=345,b=152,c=377

alpha/2 = 15 / 23
= 1134 mod 8689

(1889, 4056i) 1086=1 mod 8689

13*29 = 377

19, 5u=19, v=6

a=325,b=228,c=397

alpha/2 = 13 / 25
= 2781 mod 8689

(1270, 1772i) 4344=1 mod 8689

397

19, 7u=19, v=8 → 16, 13

a=297,b=304,c=425

alpha/2 = 11 / 27
= 4184 mod 8689

(2514, 3802i) 724=1 mod 8689

5*5*17 = 425

19, 9u=19, v=10

a=261,b=380,c=461

alpha/2 = 9 / 29
= 4195 mod 8689

(1188, 3827i) 2172=1 mod 8689

461

19, 11u=19, v=12 → 21, 8

a=217,b=456,c=505

alpha/2 = 7 / 31
= 3644 mod 8689

(2599, 3390i) 4344=1 mod 8689

5*101 = 505

19, 13u=19, v=14

a=165,b=532,c=557

alpha/2 = 5 / 33
= 4213 mod 8689

(1949, 4181i) 1448=1 mod 8689

557

19, 15u=19, v=16

a=105,b=608,c=617

alpha/2 = 3 / 35
= 5710 mod 8689

(2041, 3549i) 362=1 mod 8689

617

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

a=37,b=684,c=685

alpha/2 = 1 / 37
= 7280 mod 8689

(38, 1407i) 1448=1 mod 8689

5*137 = 685

u=20, v=1 f(20,v)=400+v2;→

a=399,b=40,c=401

alpha/2 = 19 / 21
= 3311 mod 8689

(66, 1300i) 4344=1 mod 8689

401

20, 2u=20, v=3

a=391,b=120,c=409

alpha/2 = 17 / 23
= 3023 mod 8689

(169, 1763i) 543=1 mod 8689

409

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

a=351,b=280,c=449

alpha/2 = 13 / 27
= 2575 mod 8689

(1857, 2826i) 4344=1 mod 8689

449

20, 8u=20, v=9 → 16, 15

a=319,b=360,c=481

alpha/2 = 11 / 29
= 300 mod 8689

(1753, 3829i) 724=1 mod 8689

13*37 = 481

20, 10u=20, v=11

a=279,b=440,c=521

alpha/2 = 9 / 31
= 8409 mod 8689

(783, 1735i) 2172=1 mod 8689

521

20, 12u=20, v=13

a=231,b=520,c=569

alpha/2 = 7 / 33
= 7636 mod 8689

(1969, 4322i) 1448=1 mod 8689

569

20, 1420, 1520, 16u=20, v=17 → 25, 8

a=111,b=680,c=689

alpha/2 = 3 / 37
= 4462 mod 8689

(870, 2042i) 1086=1 mod 8689

13*53 = 689

20, 18u=20, v=19 f(u,19)=u2+361;↓

a=39,b=760,c=761

alpha/2 = 1 / 39
= 1114 mod 8689

(1884, 3963i) 2172=1 mod 8689

761

21, 1u=21, v=2 → 18, 11

a=437,b=84,c=445

alpha/2 = 19 / 23
= 4912 mod 8689

(741, 898i) 1448=1 mod 8689

5*89 = 445

21, 3u=21, v=4

a=425,b=168,c=457

alpha/2 = 17 / 25
= 7647 mod 8689

(532, 2794i) 543=1 mod 8689

457

21, 521, 621, 7u=21, v=8 → 19, 12

a=377,b=336,c=505

alpha/2 = 13 / 29
= 5094 mod 8689

(3287, 3320i) 4344=1 mod 8689

5*101 = 505

21, 9u=21, v=10

a=341,b=420,c=541

alpha/2 = 11 / 31
= 4485 mod 8689

(2731, 2956i) 4344=1 mod 8689

541

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

a=185,b=672,c=697

alpha/2 = 5 / 37
= 1644 mod 8689

(2132, 3340i) 4344=1 mod 8689

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
= 2967 mod 8689

(2179, 2490i) 724=1 mod 8689

29*29 = 841

u=22, v=1 f(22,v)=484+v2;→ → 17, 14

a=483,b=44,c=485

alpha/2 = 21 / 23
= 6801 mod 8689

(2543, 3834i) 4344=1 mod 8689

5*97 = 485

22, 2u=22, v=3 → 18, 13

a=475,b=132,c=493

alpha/2 = 19 / 25
= 1391 mod 8689

(1234, 2537i) 4344=1 mod 8689

17*29 = 493

22, 4u=22, v=5

a=459,b=220,c=509

alpha/2 = 17 / 27
= 8046 mod 8689

(1827, 2389i) 1086=1 mod 8689

509

22, 6u=22, v=7 → 23, 2

a=435,b=308,c=533

alpha/2 = 15 / 29
= 1199 mod 8689

(3033, 4125i) 1086=1 mod 8689

13*41 = 533

22, 8u=22, v=9 → 23, 6

a=403,b=396,c=565

alpha/2 = 13 / 31
= 561 mod 8689

(662, 2246i) 4344=1 mod 8689

5*113 = 565

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

a=315,b=572,c=653

alpha/2 = 9 / 35
= 8441 mod 8689

(2369, 3339i) 1448=1 mod 8689

653

22, 14u=22, v=15

a=259,b=660,c=709

alpha/2 = 7 / 37
= 7515 mod 8689

(1471, 2156i) 1086=1 mod 8689

709

22, 16u=22, v=17

a=195,b=748,c=773

alpha/2 = 5 / 39
= 5570 mod 8689

(2394, 3034i) 4344=1 mod 8689

773

22, 18u=22, v=19 → 29, 2

a=123,b=836,c=845

alpha/2 = 3 / 41
= 212 mod 8689

(474, 3568i) 181=1 mod 8689

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
= 2829 mod 8689

(357, 2028i) 1448=1 mod 8689

5*5*37 = 925

23, 1u=23, v=2 → 22, 7

a=525,b=92,c=533

alpha/2 = 21 / 25
= 3824 mod 8689

(3733, 3830i) 2172=1 mod 8689

13*41 = 533

23, 3u=23, v=4 → 17, 16

a=513,b=184,c=545

alpha/2 = 19 / 27
= 6437 mod 8689

(2057, 3379i) 2172=1 mod 8689

5*109 = 545

23, 5u=23, v=6 → 22, 9

a=493,b=276,c=565

alpha/2 = 17 / 29
= 5993 mod 8689

(2092, 3567i) 1448=1 mod 8689

5*113 = 565

23, 7u=23, v=8

a=465,b=368,c=593

alpha/2 = 15 / 31
= 5326 mod 8689

(395, 4294i) 1448=1 mod 8689

593

23, 9u=23, v=10 → 25, 2

a=429,b=460,c=629

alpha/2 = 13 / 33
= 527 mod 8689

(2845, 3881i) 1448=1 mod 8689

17*37 = 629

23, 11u=23, v=12

a=385,b=552,c=673

alpha/2 = 11 / 35
= 6455 mod 8689

(3356, 3537i) 4344=1 mod 8689

673

23, 13u=23, v=14 → 26, 7

a=333,b=644,c=725

alpha/2 = 9 / 37
= 4697 mod 8689

(2733, 3247i) 4344=1 mod 8689

5*5*29 = 725

23, 15u=23, v=16 → 28, 1

a=273,b=736,c=785

alpha/2 = 7 / 39
= 7798 mod 8689

(1759, 2358i) 4344=1 mod 8689

5*157 = 785

23, 17u=23, v=18

a=205,b=828,c=853

alpha/2 = 5 / 41
= 6146 mod 8689

(3167, 3565i) 4344=1 mod 8689

853

23, 19u=23, v=20

a=129,b=920,c=929

alpha/2 = 3 / 43
= 8487 mod 8689

(2778, 3628i) 1448=1 mod 8689

929

23, 21u=23, v=22 f(u,22)=u2+484;↓

a=45,b=1012,c=1013

alpha/2 = 1 / 45
= 2124 mod 8689

(669, 4039i) 4344=1 mod 8689

1013

u=24, v=1 f(24,v)=576+v2;→

a=575,b=48,c=577

alpha/2 = 23 / 25
= 6257 mod 8689

(513, 3599i) 2172=1 mod 8689

577

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

a=551,b=240,c=601

alpha/2 = 19 / 29
= 2098 mod 8689

(1908, 3946i) 1448=1 mod 8689

601

24, 6u=24, v=7

a=527,b=336,c=625

alpha/2 = 17 / 31
= 1402 mod 8689

(362, 3725i) 1086=1 mod 8689

5*5*5*5 = 625

24, 824, 924, 10u=24, v=11 → 21, 16

a=455,b=528,c=697

alpha/2 = 13 / 35
= 4469 mod 8689

(1383, 1721i) 4344=1 mod 8689

17*41 = 697

24, 12u=24, v=13 → 27, 4

a=407,b=624,c=745

alpha/2 = 11 / 37
= 1879 mod 8689

(2730, 3650i) 1086=1 mod 8689

5*149 = 745

24, 1424, 1524, 16u=24, v=17 → 28, 9

a=287,b=816,c=865

alpha/2 = 7 / 41
= 3391 mod 8689

(372, 1546i) 4344=1 mod 8689

5*173 = 865

24, 18u=24, v=19

a=215,b=912,c=937

alpha/2 = 5 / 43
= 5456 mod 8689

(511, 4303i) 543=1 mod 8689

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
= 1479 mod 8689

(1265, 1321i) 4344=1 mod 8689

5*13*17 = 1105

25, 1u=25, v=2 → 23, 10

a=621,b=100,c=629

alpha/2 = 23 / 27
= 3219 mod 8689

(1423, 3936i) 4344=1 mod 8689

17*37 = 629

25, 3u=25, v=4

a=609,b=200,c=641

alpha/2 = 21 / 29
= 6892 mod 8689

(1667, 3903i) 724=1 mod 8689

641

25, 5u=25, v=6

a=589,b=300,c=661

alpha/2 = 19 / 31
= 6167 mod 8689

(2183, 3299i) 4344=1 mod 8689

661

25, 7u=25, v=8 → 20, 17

a=561,b=400,c=689

alpha/2 = 17 / 33
= 7373 mod 8689

(2988, 3910i) 2172=1 mod 8689

13*53 = 689

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

a=481,b=600,c=769

alpha/2 = 13 / 37
= 7750 mod 8689

(317, 2238i) 4344=1 mod 8689

769

25, 13u=25, v=14

a=429,b=700,c=821

alpha/2 = 11 / 39
= 3565 mod 8689

(2010, 2349i) 4344=1 mod 8689

821

25, 15u=25, v=16

a=369,b=800,c=881

alpha/2 = 9 / 41
= 636 mod 8689

(3560, 3668i) 543=1 mod 8689

881

25, 17u=25, v=18 → 30, 7

a=301,b=900,c=949

alpha/2 = 7 / 43
= 2425 mod 8689

(3233, 3717i) 4344=1 mod 8689

13*73 = 949

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

a=141,b=1100,c=1109

alpha/2 = 3 / 47
= 4437 mod 8689

(3989, 4137i) 2172=1 mod 8689

1109

25, 23u=25, v=24 f(u,24)=u2+576;↓

a=49,b=1200,c=1201

alpha/2 = 1 / 49
= 532 mod 8689

(2004, 2618i) 4344=1 mod 8689

1201

u=26, v=1 f(26,v)=676+v2;→

a=675,b=52,c=677

alpha/2 = 25 / 27
= 1610 mod 8689

(937, 1706i) 1448=1 mod 8689

677

26, 2u=26, v=3 → 19, 18

a=667,b=156,c=685

alpha/2 = 23 / 29
= 2997 mod 8689

(724, 2423i) 4344=1 mod 8689

5*137 = 685

26, 4u=26, v=5

a=651,b=260,c=701

alpha/2 = 21 / 31
= 2243 mod 8689

(74, 1352i) 2172=1 mod 8689

701

26, 6u=26, v=7 → 23, 14

a=627,b=364,c=725

alpha/2 = 19 / 33
= 2107 mod 8689

(684, 1187i) 4344=1 mod 8689

5*5*29 = 725

26, 8u=26, v=9

a=595,b=468,c=757

alpha/2 = 17 / 35
= 497 mod 8689

(678, 1906i) 1448=1 mod 8689

757

26, 10u=26, v=11

a=555,b=572,c=797

alpha/2 = 15 / 37
= 4932 mod 8689

(2977, 3086i) 2172=1 mod 8689

797

26, 1226, 1326, 14u=26, v=15 → 30, 1

a=451,b=780,c=901

alpha/2 = 11 / 41
= 6570 mod 8689

(1486, 3154i) 4344=1 mod 8689

17*53 = 901

26, 16u=26, v=17 → 31, 2

a=387,b=884,c=965

alpha/2 = 9 / 43
= 8083 mod 8689

(1989, 3043i) 2172=1 mod 8689

5*193 = 965

26, 18u=26, v=19 → 29, 14

a=315,b=988,c=1037

alpha/2 = 7 / 45
= 6179 mod 8689

(1417, 3310i) 543=1 mod 8689

17*61 = 1037

26, 20u=26, v=21

a=235,b=1092,c=1117

alpha/2 = 5 / 47
= 7395 mod 8689

(950, 3244i) 4344=1 mod 8689

1117

26, 22u=26, v=23 → 34, 7

a=147,b=1196,c=1205

alpha/2 = 3 / 49
= 1596 mod 8689

(988, 4138i) 4344=1 mod 8689

5*241 = 1205

26, 24u=26, v=25 f(u,25)=u2+625;↓

a=51,b=1300,c=1301

alpha/2 = 1 / 51
= 1363 mod 8689

(3306, 3514i) 4344=1 mod 8689

1301

27, 1u=27, v=2

a=725,b=108,c=733

alpha/2 = 25 / 29
= 7791 mod 8689

(1612, 4304i) 4344=1 mod 8689

733

27, 3u=27, v=4 → 24, 13

a=713,b=216,c=745

alpha/2 = 23 / 31
= 7008 mod 8689

(139, 945i) 362=1 mod 8689

5*149 = 745

27, 527, 627, 7u=27, v=8 → 28, 3

a=665,b=432,c=793

alpha/2 = 19 / 35
= 7200 mod 8689

(1162, 2596i) 1448=1 mod 8689

13*61 = 793

27, 9u=27, v=10

a=629,b=540,c=829

alpha/2 = 17 / 37
= 2114 mod 8689

(3229, 3449i) 543=1 mod 8689

829

27, 1127, 1227, 13u=27, v=14 → 22, 21

a=533,b=756,c=925

alpha/2 = 13 / 41
= 3815 mod 8689

(4021, 4029i) 4344=1 mod 8689

5*5*37 = 925

27, 15u=27, v=16 → 29, 12

a=473,b=864,c=985

alpha/2 = 11 / 43
= 5052 mod 8689

(1605, 1624i) 4344=1 mod 8689

5*197 = 985

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

a=329,b=1080,c=1129

alpha/2 = 7 / 47
= 1664 mod 8689

(185, 3724i) 2172=1 mod 8689

1129

27, 21u=27, v=22

a=245,b=1188,c=1213

alpha/2 = 5 / 49
= 2660 mod 8689

(42, 3897i) 1448=1 mod 8689

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
= 2951 mod 8689

(538, 2448i) 4344=1 mod 8689

5*281 = 1405

u=28, v=1 f(28,v)=784+v2;→ → 23, 16

a=783,b=56,c=785

alpha/2 = 27 / 29
= 3896 mod 8689

(4185, 4195i) 1448=1 mod 8689

5*157 = 785

28, 2u=28, v=3 → 27, 8

a=775,b=168,c=793

alpha/2 = 25 / 31
= 3084 mod 8689

(1479, 3573i) 4344=1 mod 8689

13*61 = 793

28, 4u=28, v=5

a=759,b=280,c=809

alpha/2 = 23 / 33
= 264 mod 8689

(2911, 4136i) 4344=1 mod 8689

809

28, 628, 728, 8u=28, v=9 → 24, 17

a=703,b=504,c=865

alpha/2 = 19 / 37
= 7985 mod 8689

(1466, 2631i) 4344=1 mod 8689

5*173 = 865

28, 10u=28, v=11 → 29, 8

a=663,b=616,c=905

alpha/2 = 17 / 39
= 1560 mod 8689

(2438, 4062i) 2172=1 mod 8689

5*181 = 905

28, 12u=28, v=13

a=615,b=728,c=953

alpha/2 = 15 / 41
= 1060 mod 8689

(127, 4286i) 543=1 mod 8689

953

28, 14u=28, v=15

a=559,b=840,c=1009

alpha/2 = 13 / 43
= 2021 mod 8689

(35, 1222i) 2172=1 mod 8689

1009

28, 16u=28, v=17 → 32, 7

a=495,b=952,c=1073

alpha/2 = 11 / 45
= 5986 mod 8689

(1086, 1279i) 1086=1 mod 8689

29*37 = 1073

28, 18u=28, v=19 → 32, 11

a=423,b=1064,c=1145

alpha/2 = 9 / 47
= 4622 mod 8689

(221, 782i) 1448=1 mod 8689

5*229 = 1145

28, 2028, 2128, 22u=28, v=23 → 32, 17

a=255,b=1288,c=1313

alpha/2 = 5 / 51
= 6815 mod 8689

(3063, 3448i) 2172=1 mod 8689

13*101 = 1313

28, 24u=28, v=25

a=159,b=1400,c=1409

alpha/2 = 3 / 53
= 164 mod 8689

(334, 2806i) 4344=1 mod 8689

1409

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

a=55,b=1512,c=1513

alpha/2 = 1 / 55
= 158 mod 8689

(1183, 4243i) 4344=1 mod 8689

17*89 = 1513

29, 1u=29, v=2 → 22, 19

a=837,b=116,c=845

alpha/2 = 27 / 31
= 7849 mod 8689

(544, 3558i) 543=1 mod 8689

5*13*13 = 845

29, 3u=29, v=4

a=825,b=232,c=857

alpha/2 = 25 / 33
= 3687 mod 8689

(2210, 2990i) 2172=1 mod 8689

857

29, 5u=29, v=6

a=805,b=348,c=877

alpha/2 = 23 / 35
= 3228 mod 8689

(1923, 3497i) 2172=1 mod 8689

877

29, 7u=29, v=8 → 28, 11

a=777,b=464,c=905

alpha/2 = 21 / 37
= 5167 mod 8689

(508, 759i) 724=1 mod 8689

5*181 = 905

29, 9u=29, v=10

a=741,b=580,c=941

alpha/2 = 19 / 39
= 3788 mod 8689

(1589, 2346i) 4344=1 mod 8689

941

29, 11u=29, v=12 → 27, 16

a=697,b=696,c=985

alpha/2 = 17 / 41
= 6994 mod 8689

(2356, 3519i) 1448=1 mod 8689

5*197 = 985

29, 13u=29, v=14 → 26, 19

a=645,b=812,c=1037

alpha/2 = 15 / 43
= 7679 mod 8689

(1122, 2640i) 362=1 mod 8689

17*61 = 1037

29, 15u=29, v=16

a=585,b=928,c=1097

alpha/2 = 13 / 45
= 1545 mod 8689

(2811, 3050i) 4344=1 mod 8689

1097

29, 17u=29, v=18 → 34, 3

a=517,b=1044,c=1165

alpha/2 = 11 / 47
= 7580 mod 8689

(3036, 4282i) 1448=1 mod 8689

5*233 = 1165

29, 19u=29, v=20 → 35, 4

a=441,b=1160,c=1241

alpha/2 = 9 / 49
= 4788 mod 8689

(2801, 4060i) 2172=1 mod 8689

17*73 = 1241

29, 21u=29, v=22 → 34, 13

a=357,b=1276,c=1325

alpha/2 = 7 / 51
= 852 mod 8689

(222, 2866i) 4344=1 mod 8689

5*5*53 = 1325

29, 23u=29, v=24 → 36, 11

a=265,b=1392,c=1417

alpha/2 = 5 / 53
= 6066 mod 8689

(3354, 4273i) 4344=1 mod 8689

13*109 = 1417

29, 25u=29, v=26 → 34, 19

a=165,b=1508,c=1517

alpha/2 = 3 / 55
= 474 mod 8689

(1158, 1959i) 2172=1 mod 8689

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
= 6250 mod 8689

(1555, 1802i) 4344=1 mod 8689

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
= 3925 mod 8689

(3896, 3924i) 4344=1 mod 8689

17*53 = 901

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

a=851,b=420,c=949

alpha/2 = 23 / 37
= 2349 mod 8689

(2088, 2224i) 4344=1 mod 8689

13*73 = 949

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

a=779,b=660,c=1021

alpha/2 = 19 / 41
= 4239 mod 8689

(707, 3507i) 1086=1 mod 8689

1021

30, 12u=30, v=13

a=731,b=780,c=1069

alpha/2 = 17 / 43
= 4648 mod 8689

(1438, 1984i) 4344=1 mod 8689

1069

30, 1430, 1530, 16u=30, v=17 → 33, 10

a=611,b=1020,c=1189

alpha/2 = 13 / 47
= 1849 mod 8689

(1389, 3684i) 181=1 mod 8689

29*41 = 1189

30, 18u=30, v=19 → 35, 6

a=539,b=1140,c=1261

alpha/2 = 11 / 49
= 5852 mod 8689

(2357, 3720i) 543=1 mod 8689

13*97 = 1261

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

a=371,b=1380,c=1429

alpha/2 = 7 / 53
= 3279 mod 8689

(72, 1794i) 2172=1 mod 8689

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
= 1620 mod 8689

(2716, 3783i) 724=1 mod 8689

1741

31, 1u=31, v=2 → 26, 17

a=957,b=124,c=965

alpha/2 = 29 / 33
= 1844 mod 8689

(19, 279i) 2172=1 mod 8689

5*193 = 965

31, 3u=31, v=4

a=945,b=248,c=977

alpha/2 = 27 / 35
= 7945 mod 8689

(1335, 2695i) 4344=1 mod 8689

977

31, 5u=31, v=6

a=925,b=372,c=997

alpha/2 = 25 / 37
= 8220 mod 8689

(733, 3782i) 2172=1 mod 8689

997

31, 7u=31, v=8 → 32, 1

a=897,b=496,c=1025

alpha/2 = 23 / 39
= 8244 mod 8689

(2213, 3373i) 4344=1 mod 8689

5*5*41 = 1025

31, 9u=31, v=10

a=861,b=620,c=1061

alpha/2 = 21 / 41
= 1484 mod 8689

(1408, 2628i) 1448=1 mod 8689

1061

31, 11u=31, v=12 → 24, 23 → 33, 4

a=817,b=744,c=1105

alpha/2 = 19 / 43
= 1617 mod 8689

(331, 3492i) 4344=1 mod 8689

5*13*17 = 1105

31, 13u=31, v=14 → 34, 1

a=765,b=868,c=1157

alpha/2 = 17 / 45
= 1352 mod 8689

(1390, 2455i) 181=1 mod 8689

13*89 = 1157

31, 15u=31, v=16

a=705,b=992,c=1217

alpha/2 = 15 / 47
= 4807 mod 8689

(2271, 3312i) 2172=1 mod 8689

1217

31, 17u=31, v=18 → 33, 14

a=637,b=1116,c=1285

alpha/2 = 13 / 49
= 6916 mod 8689

(2070, 3564i) 1086=1 mod 8689

5*257 = 1285

31, 19u=31, v=20

a=561,b=1240,c=1361

alpha/2 = 11 / 51
= 6304 mod 8689

(3121, 3416i) 1448=1 mod 8689

1361

31, 21u=31, v=22 → 38, 1

a=477,b=1364,c=1445

alpha/2 = 9 / 53
= 492 mod 8689

(764, 2260i) 724=1 mod 8689

5*17*17 = 1445

31, 23u=31, v=24 → 39, 4

a=385,b=1488,c=1537

alpha/2 = 7 / 55
= 1106 mod 8689

(408, 526i) 362=1 mod 8689

29*53 = 1537

31, 25u=31, v=26

a=285,b=1612,c=1637

alpha/2 = 5 / 57
= 5183 mod 8689

(1740, 2744i) 2172=1 mod 8689

1637

31, 27u=31, v=28 → 41, 8

a=177,b=1736,c=1745

alpha/2 = 3 / 59
= 4860 mod 8689

(2172, 3645i) 2172=1 mod 8689

5*349 = 1745

31, 29u=31, v=30 f(u,30)=u2+900;↓

a=61,b=1860,c=1861

alpha/2 = 1 / 61
= 1282 mod 8689

(3344, 4076i) 1448=1 mod 8689

1861

u=32, v=1 f(32,v)=1024+v2;→ → 31, 8

a=1023,b=64,c=1025

alpha/2 = 31 / 33
= 5267 mod 8689

(1687, 1849i) 4344=1 mod 8689

5*5*41 = 1025

32, 2u=32, v=3

a=1015,b=192,c=1033

alpha/2 = 29 / 35
= 5959 mod 8689

(428, 4113i) 543=1 mod 8689

1033

32, 4u=32, v=5

a=999,b=320,c=1049

alpha/2 = 27 / 37
= 5402 mod 8689

(763, 3139i) 4344=1 mod 8689

1049

32, 6u=32, v=7 → 28, 17

a=975,b=448,c=1073

alpha/2 = 25 / 39
= 1783 mod 8689

(1167, 4089i) 2172=1 mod 8689

29*37 = 1073

32, 8u=32, v=9 → 24, 23 → 33, 4

a=943,b=576,c=1105

alpha/2 = 23 / 41
= 7418 mod 8689

(660, 3445i) 4344=1 mod 8689

5*13*17 = 1105

32, 10u=32, v=11 → 28, 19

a=903,b=704,c=1145

alpha/2 = 21 / 43
= 7275 mod 8689

(1731, 2663i) 4344=1 mod 8689

5*229 = 1145

32, 12u=32, v=13

a=855,b=832,c=1193

alpha/2 = 19 / 45
= 5600 mod 8689

(8, 1354i) 543=1 mod 8689

1193

32, 14u=32, v=15

a=799,b=960,c=1249

alpha/2 = 17 / 47
= 7765 mod 8689

(841, 2839i) 2172=1 mod 8689

1249

32, 16u=32, v=17 → 28, 23

a=735,b=1088,c=1313

alpha/2 = 15 / 49
= 7980 mod 8689

(284, 1508i) 543=1 mod 8689

13*101 = 1313

32, 18u=32, v=19 → 37, 4

a=663,b=1216,c=1385

alpha/2 = 13 / 51
= 341 mod 8689

(1028, 2647i) 1086=1 mod 8689

5*277 = 1385

32, 20u=32, v=21 → 36, 13

a=583,b=1344,c=1465

alpha/2 = 11 / 53
= 6394 mod 8689

(3435, 3992i) 1448=1 mod 8689

5*293 = 1465

32, 22u=32, v=23

a=495,b=1472,c=1553

alpha/2 = 9 / 55
= 1422 mod 8689

(313, 1948i) 4344=1 mod 8689

1553

32, 24u=32, v=25 → 40, 7

a=399,b=1600,c=1649

alpha/2 = 7 / 57
= 305 mod 8689

(1975, 2529i) 1448=1 mod 8689

17*97 = 1649

32, 26u=32, v=27

a=295,b=1728,c=1753

alpha/2 = 5 / 59
= 8100 mod 8689

(571, 1963i) 2172=1 mod 8689

1753

32, 28u=32, v=29 → 43, 4

a=183,b=1856,c=1865

alpha/2 = 3 / 61
= 3846 mod 8689

(204, 1272i) 4344=1 mod 8689

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
= 5241 mod 8689

(2820, 3817i) 1448=1 mod 8689

5*397 = 1985

33, 1u=33, v=2

a=1085,b=132,c=1093

alpha/2 = 31 / 35
= 3973 mod 8689

(1422, 1757i) 4344=1 mod 8689

1093

33, 3u=33, v=4 → 24, 23

a=1073,b=264,c=1105

alpha/2 = 29 / 37
= 2584 mod 8689

(2934, 4042i) 1448=1 mod 8689

5*13*17 = 1105

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

a=1025,b=528,c=1153

alpha/2 = 25 / 41
= 4663 mod 8689

(1071, 2103i) 4344=1 mod 8689

1153

33, 9u=33, v=10 → 30, 17

a=989,b=660,c=1189

alpha/2 = 23 / 43
= 4244 mod 8689

(812, 3406i) 724=1 mod 8689

29*41 = 1189

33, 1133, 1233, 13u=33, v=14 → 31, 18

a=893,b=924,c=1285

alpha/2 = 19 / 47
= 2034 mod 8689

(873, 3529i) 543=1 mod 8689

5*257 = 1285

33, 15u=33, v=16 → 36, 7

a=833,b=1056,c=1345

alpha/2 = 17 / 49
= 355 mod 8689

(20, 1590i) 724=1 mod 8689

5*269 = 1345

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

a=689,b=1320,c=1489

alpha/2 = 13 / 53
= 3607 mod 8689

(145, 1932i) 2172=1 mod 8689

1489

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

a=413,b=1716,c=1765

alpha/2 = 7 / 59
= 2651 mod 8689

(1852, 3018i) 2172=1 mod 8689

5*353 = 1765

33, 27u=33, v=28

a=305,b=1848,c=1873

alpha/2 = 5 / 61
= 6410 mod 8689

(1429, 1683i) 543=1 mod 8689

1873

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

a=65,b=2112,c=2113

alpha/2 = 1 / 65
= 4144 mod 8689

(2052, 3044i) 4344=1 mod 8689

2113

u=34, v=1 f(34,v)=1156+v2;→ → 31, 14

a=1155,b=68,c=1157

alpha/2 = 33 / 35
= 1987 mod 8689

(1089, 2269i) 2172=1 mod 8689

13*89 = 1157

34, 2u=34, v=3 → 29, 18

a=1147,b=204,c=1165

alpha/2 = 31 / 37
= 8455 mod 8689

(1760, 3223i) 4344=1 mod 8689

5*233 = 1165

34, 4u=34, v=5

a=1131,b=340,c=1181

alpha/2 = 29 / 39
= 6239 mod 8689

(88, 4075i) 1448=1 mod 8689

1181

34, 6u=34, v=7 → 26, 23

a=1107,b=476,c=1205

alpha/2 = 27 / 41
= 1908 mod 8689

(3554, 3613i) 4344=1 mod 8689

5*241 = 1205

34, 8u=34, v=9

a=1075,b=612,c=1237

alpha/2 = 25 / 43
= 1213 mod 8689

(1595, 1699i) 2172=1 mod 8689

1237

34, 10u=34, v=11

a=1035,b=748,c=1277

alpha/2 = 23 / 45
= 5407 mod 8689

(1593, 2551i) 2172=1 mod 8689

1277

34, 12u=34, v=13 → 29, 22

a=987,b=884,c=1325

alpha/2 = 21 / 47
= 4992 mod 8689

(768, 2006i) 4344=1 mod 8689

5*5*53 = 1325

34, 14u=34, v=15

a=931,b=1020,c=1381

alpha/2 = 19 / 49
= 1419 mod 8689

(3787, 3952i) 4344=1 mod 8689

1381

34, 1634, 1734, 18u=34, v=19 → 29, 26

a=795,b=1292,c=1517

alpha/2 = 15 / 53
= 820 mod 8689

(830, 2859i) 543=1 mod 8689

37*41 = 1517

34, 20u=34, v=21

a=715,b=1428,c=1597

alpha/2 = 13 / 55
= 2054 mod 8689

(2014, 2846i) 4344=1 mod 8689

1597

34, 22u=34, v=23 → 41, 2

a=627,b=1564,c=1685

alpha/2 = 11 / 57
= 7927 mod 8689

(1098, 2531i) 4344=1 mod 8689

5*337 = 1685

34, 24u=34, v=25 → 41, 10

a=531,b=1700,c=1781

alpha/2 = 9 / 59
= 5891 mod 8689

(1087, 2522i) 1086=1 mod 8689

13*137 = 1781

34, 26u=34, v=27 → 43, 6

a=427,b=1836,c=1885

alpha/2 = 7 / 61
= 285 mod 8689

(2207, 3102i) 724=1 mod 8689

5*13*29 = 1885

34, 28u=34, v=29

a=315,b=1972,c=1997

alpha/2 = 5 / 63
= 138 mod 8689

(1027, 2701i) 2172=1 mod 8689

1997

34, 30u=34, v=31 → 46, 1

a=195,b=2108,c=2117

alpha/2 = 3 / 65
= 3743 mod 8689

(1967, 2048i) 1448=1 mod 8689

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
= 2075 mod 8689

(210, 3375i) 1448=1 mod 8689

5*449 = 2245

35, 1u=35, v=2

a=1221,b=140,c=1229

alpha/2 = 33 / 37
= 5637 mod 8689

(1012, 4030i) 4344=1 mod 8689

1229

35, 3u=35, v=4 → 29, 20

a=1209,b=280,c=1241

alpha/2 = 31 / 39
= 8467 mod 8689

(113, 980i) 2172=1 mod 8689

17*73 = 1241

35, 5u=35, v=6 → 30, 19

a=1189,b=420,c=1261

alpha/2 = 29 / 41
= 7842 mod 8689

(1136, 2288i) 724=1 mod 8689

13*97 = 1261

35, 7u=35, v=8

a=1161,b=560,c=1289

alpha/2 = 27 / 43
= 6871 mod 8689

(2291, 3006i) 4344=1 mod 8689

1289

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

a=1081,b=840,c=1369

alpha/2 = 23 / 47
= 7950 mod 8689

(285, 1340i) 2172=1 mod 8689

37*37 = 1369

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

a=969,b=1120,c=1481

alpha/2 = 19 / 51
= 8519 mod 8689

(3298, 3955i) 4344=1 mod 8689

1481

35, 17u=35, v=18

a=901,b=1260,c=1549

alpha/2 = 17 / 53
= 6722 mod 8689

(2131, 3578i) 543=1 mod 8689

1549

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

a=741,b=1540,c=1709

alpha/2 = 13 / 57
= 3049 mod 8689

(1743, 2379i) 2172=1 mod 8689

1709

35, 23u=35, v=24

a=649,b=1680,c=1801

alpha/2 = 11 / 59
= 442 mod 8689

(1997, 3603i) 1448=1 mod 8689

1801

35, 25u=35, v=26

a=549,b=1820,c=1901

alpha/2 = 9 / 61
= 2849 mod 8689

(287, 1952i) 2172=1 mod 8689

1901

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

a=201,b=2240,c=2249

alpha/2 = 3 / 67
= 6225 mod 8689

(1133, 3682i) 1086=1 mod 8689

13*173 = 2249

35, 33u=35, v=34 f(u,34)=u2+1156;↓

a=69,b=2380,c=2381

alpha/2 = 1 / 69
= 1763 mod 8689

(1052, 3007i) 1448=1 mod 8689

2381

u=36, v=1 f(36,v)=1296+v2;→

a=1295,b=72,c=1297

alpha/2 = 35 / 37
= 2819 mod 8689

(536, 1917i) 4344=1 mod 8689

1297

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

a=1271,b=360,c=1321

alpha/2 = 31 / 41
= 5087 mod 8689

(3368, 3395i) 2172=1 mod 8689

1321

36, 6u=36, v=7 → 33, 16

a=1247,b=504,c=1345

alpha/2 = 29 / 43
= 3840 mod 8689

(426, 1532i) 2172=1 mod 8689

5*269 = 1345

36, 836, 936, 10u=36, v=11 → 29, 24

a=1175,b=792,c=1417

alpha/2 = 25 / 47
= 2219 mod 8689

(1031, 2581i) 4344=1 mod 8689

13*109 = 1417

36, 12u=36, v=13 → 32, 21

a=1127,b=936,c=1465

alpha/2 = 23 / 49
= 3547 mod 8689

(2686, 4099i) 4344=1 mod 8689

5*293 = 1465

36, 1436, 1536, 16u=36, v=17 → 39, 8

a=1007,b=1224,c=1585

alpha/2 = 19 / 53
= 3935 mod 8689

(2702, 2965i) 4344=1 mod 8689

5*317 = 1585

36, 18u=36, v=19

a=935,b=1368,c=1657

alpha/2 = 17 / 55
= 2686 mod 8689

(2700, 3114i) 1448=1 mod 8689

1657

36, 2036, 2136, 22u=36, v=23 → 41, 12

a=767,b=1656,c=1825

alpha/2 = 13 / 59
= 3682 mod 8689

(577, 609i) 543=1 mod 8689

5*5*73 = 1825

36, 24u=36, v=25 → 39, 20

a=671,b=1800,c=1921

alpha/2 = 11 / 61
= 5413 mod 8689

(556, 3235i) 4344=1 mod 8689

17*113 = 1921

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

a=455,b=2088,c=2137

alpha/2 = 7 / 65
= 2941 mod 8689

(1050, 2293i) 4344=1 mod 8689

2137

36, 30u=36, v=31 → 41, 24

a=335,b=2232,c=2257

alpha/2 = 5 / 67
= 1686 mod 8689

(1718, 3892i) 1448=1 mod 8689

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
= 2570 mod 8689

(1520, 3651i) 724=1 mod 8689

2521

37, 1u=37, v=2

a=1365,b=148,c=1373

alpha/2 = 35 / 39
= 4234 mod 8689

(3335, 3469i) 2172=1 mod 8689

1373

37, 3u=37, v=4 → 32, 19

a=1353,b=296,c=1385

alpha/2 = 33 / 41
= 2332 mod 8689

(1400, 2265i) 1086=1 mod 8689

5*277 = 1385

37, 5u=37, v=6 → 27, 26

a=1333,b=444,c=1405

alpha/2 = 31 / 43
= 809 mod 8689

(1231, 2547i) 4344=1 mod 8689

5*281 = 1405

37, 7u=37, v=8

a=1305,b=592,c=1433

alpha/2 = 29 / 45
= 773 mod 8689

(230, 3237i) 4344=1 mod 8689

1433

37, 9u=37, v=10 → 38, 5

a=1269,b=740,c=1469

alpha/2 = 27 / 47
= 5177 mod 8689

(2816, 3467i) 724=1 mod 8689

13*113 = 1469

37, 11u=37, v=12 → 28, 27

a=1225,b=888,c=1513

alpha/2 = 25 / 49
= 4611 mod 8689

(2354, 2878i) 1448=1 mod 8689

17*89 = 1513

37, 13u=37, v=14 → 38, 11

a=1173,b=1036,c=1565

alpha/2 = 23 / 51
= 5282 mod 8689

(399, 3908i) 1086=1 mod 8689

5*313 = 1565

37, 15u=37, v=16 → 29, 28

a=1113,b=1184,c=1625

alpha/2 = 21 / 53
= 1148 mod 8689

(236, 2717i) 4344=1 mod 8689

5*5*5*13 = 1625

37, 17u=37, v=18

a=1045,b=1332,c=1693

alpha/2 = 19 / 55
= 3002 mod 8689

(2608, 3429i) 2172=1 mod 8689

1693

37, 19u=37, v=20 → 40, 13

a=969,b=1480,c=1769

alpha/2 = 17 / 57
= 1982 mod 8689

(1607, 1807i) 4344=1 mod 8689

29*61 = 1769

37, 21u=37, v=22 → 43, 2

a=885,b=1628,c=1853

alpha/2 = 15 / 59
= 6922 mod 8689

(596, 1764i) 2172=1 mod 8689

17*109 = 1853

37, 23u=37, v=24 → 44, 3

a=793,b=1776,c=1945

alpha/2 = 13 / 61
= 7977 mod 8689

(2474, 3091i) 4344=1 mod 8689

5*389 = 1945

37, 25u=37, v=26 → 43, 14

a=693,b=1924,c=2045

alpha/2 = 11 / 63
= 5517 mod 8689

(1193, 1309i) 724=1 mod 8689

5*409 = 2045

37, 27u=37, v=28

a=585,b=2072,c=2153

alpha/2 = 9 / 65
= 2540 mod 8689

(3052, 4032i) 4344=1 mod 8689

2153

37, 29u=37, v=30

a=469,b=2220,c=2269

alpha/2 = 7 / 67
= 5836 mod 8689

(2111, 4059i) 4344=1 mod 8689

2269

37, 31u=37, v=32

a=345,b=2368,c=2393

alpha/2 = 5 / 69
= 126 mod 8689

(87, 2274i) 4344=1 mod 8689

2393

37, 33u=37, v=34 → 43, 26

a=213,b=2516,c=2525

alpha/2 = 3 / 71
= 7710 mod 8689

(1054, 1146i) 4344=1 mod 8689

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
= 4285 mod 8689

(312, 3218i) 2172=1 mod 8689

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
= 6462 mod 8689

(24, 913i) 2172=1 mod 8689

5*17*17 = 1445

38, 2u=38, v=3

a=1435,b=228,c=1453

alpha/2 = 35 / 41
= 8266 mod 8689

(1795, 3343i) 4344=1 mod 8689

1453

38, 4u=38, v=5 → 37, 10

a=1419,b=380,c=1469

alpha/2 = 33 / 43
= 6467 mod 8689

(1372, 3477i) 1086=1 mod 8689

13*113 = 1469

38, 6u=38, v=7

a=1395,b=532,c=1493

alpha/2 = 31 / 45
= 5021 mod 8689

(2486, 3888i) 1086=1 mod 8689

1493

38, 8u=38, v=9 → 39, 2

a=1363,b=684,c=1525

alpha/2 = 29 / 47
= 8135 mod 8689

(2468, 3100i) 2172=1 mod 8689

5*5*61 = 1525

38, 10u=38, v=11 → 37, 14

a=1323,b=836,c=1565

alpha/2 = 27 / 49
= 5675 mod 8689

(1350, 2449i) 543=1 mod 8689

5*313 = 1565

38, 12u=38, v=13

a=1275,b=988,c=1613

alpha/2 = 25 / 51
= 8008 mod 8689

(732, 2538i) 4344=1 mod 8689

1613

38, 14u=38, v=15

a=1219,b=1140,c=1669

alpha/2 = 23 / 53
= 7050 mod 8689

(2786, 4159i) 4344=1 mod 8689

1669

38, 16u=38, v=17

a=1155,b=1292,c=1733

alpha/2 = 21 / 55
= 3318 mod 8689

(1179, 3499i) 2172=1 mod 8689

1733

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

a=1003,b=1596,c=1885

alpha/2 = 17 / 59
= 1473 mod 8689

(3647, 3702i) 1086=1 mod 8689

5*13*29 = 1885

38, 22u=38, v=23

a=915,b=1748,c=1973

alpha/2 = 15 / 61
= 1852 mod 8689

(1489, 3214i) 1086=1 mod 8689

1973

38, 24u=38, v=25

a=819,b=1900,c=2069

alpha/2 = 13 / 63
= 7310 mod 8689

(1286, 2217i) 2172=1 mod 8689

2069

38, 26u=38, v=27 → 43, 18

a=715,b=2052,c=2173

alpha/2 = 11 / 65
= 2139 mod 8689

(1943, 2736i) 724=1 mod 8689

41*53 = 2173

38, 28u=38, v=29 → 46, 13

a=603,b=2204,c=2285

alpha/2 = 9 / 67
= 1297 mod 8689

(487, 2659i) 2172=1 mod 8689

5*457 = 2285

38, 30u=38, v=31 → 49, 2

a=483,b=2356,c=2405

alpha/2 = 7 / 69
= 3652 mod 8689

(1962, 3202i) 1086=1 mod 8689

5*13*37 = 2405

38, 32u=38, v=33 → 47, 18

a=355,b=2508,c=2533

alpha/2 = 5 / 71
= 4161 mod 8689

(1396, 4184i) 1086=1 mod 8689

17*149 = 2533

38, 34u=38, v=35 → 50, 13

a=219,b=2660,c=2669

alpha/2 = 3 / 73
= 4166 mod 8689

(1617, 1719i) 4344=1 mod 8689

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
= 4750 mod 8689

(868, 4276i) 1086=1 mod 8689

29*97 = 2813

39, 1u=39, v=2 → 38, 9

a=1517,b=156,c=1525

alpha/2 = 37 / 41
= 5511 mod 8689

(981, 1732i) 724=1 mod 8689

5*5*61 = 1525

39, 3u=39, v=4 → 31, 24

a=1505,b=312,c=1537

alpha/2 = 35 / 43
= 3436 mod 8689

(1487, 3636i) 724=1 mod 8689

29*53 = 1537

39, 539, 639, 7u=39, v=8 → 36, 17

a=1457,b=624,c=1585

alpha/2 = 31 / 47
= 2404 mod 8689

(1958, 2407i) 1448=1 mod 8689

5*317 = 1585

39, 9u=39, v=10

a=1421,b=780,c=1621

alpha/2 = 29 / 49
= 6739 mod 8689

(767, 3092i) 1086=1 mod 8689

1621

39, 1139, 1239, 13u=39, v=14 → 41, 6

a=1325,b=1092,c=1717

alpha/2 = 25 / 53
= 4263 mod 8689

(2025, 4292i) 4344=1 mod 8689

17*101 = 1717

39, 15u=39, v=16

a=1265,b=1248,c=1777

alpha/2 = 23 / 55
= 3634 mod 8689

(1608, 4224i) 2172=1 mod 8689

1777

39, 1739, 1839, 19u=39, v=20 → 36, 25

a=1121,b=1560,c=1921

alpha/2 = 19 / 59
= 4713 mod 8689

(2425, 2989i) 1448=1 mod 8689

17*113 = 1921

39, 21u=39, v=22 → 41, 18

a=1037,b=1716,c=2005

alpha/2 = 17 / 61
= 4416 mod 8689

(2396, 2465i) 1448=1 mod 8689

5*401 = 2005

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

a=737,b=2184,c=2305

alpha/2 = 11 / 67
= 5447 mod 8689

(229, 611i) 181=1 mod 8689

5*461 = 2305

39, 2939, 3039, 31u=39, v=32 → 49, 12

a=497,b=2496,c=2545

alpha/2 = 7 / 71
= 612 mod 8689

(815, 2895i) 724=1 mod 8689

5*509 = 2545

39, 33u=39, v=34

a=365,b=2652,c=2677

alpha/2 = 5 / 73
= 4047 mod 8689

(860, 3868i) 1448=1 mod 8689

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
= 5078 mod 8689

(2321, 3753i) 4344=1 mod 8689

5*593 = 2965

u=40, v=1 f(40,v)=1600+v2;→

a=1599,b=80,c=1601

alpha/2 = 39 / 41
= 2756 mod 8689

(2313, 3099i) 2172=1 mod 8689

1601

40, 2u=40, v=3

a=1591,b=240,c=1609

alpha/2 = 37 / 43
= 405 mod 8689

(244, 3240i) 362=1 mod 8689

1609

40, 440, 540, 6u=40, v=7 → 32, 25

a=1551,b=560,c=1649

alpha/2 = 33 / 47
= 5362 mod 8689

(1481, 3951i) 4344=1 mod 8689

17*97 = 1649

40, 8u=40, v=9

a=1519,b=720,c=1681

alpha/2 = 31 / 49
= 7803 mod 8689

(914, 1726i) 724=1 mod 8689

41*41 = 1681

40, 10u=40, v=11

a=1479,b=880,c=1721

alpha/2 = 29 / 51
= 4771 mod 8689

(1019, 4190i) 543=1 mod 8689

1721

40, 12u=40, v=13 → 37, 20

a=1431,b=1040,c=1769

alpha/2 = 27 / 53
= 1476 mod 8689

(1458, 2863i) 4344=1 mod 8689

29*61 = 1769

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

a=1311,b=1360,c=1889

alpha/2 = 23 / 57
= 4726 mod 8689

(1738, 2043i) 362=1 mod 8689

1889

40, 18u=40, v=19 → 44, 5

a=1239,b=1520,c=1961

alpha/2 = 21 / 59
= 7953 mod 8689

(2872, 3101i) 2172=1 mod 8689

37*53 = 1961

40, 20u=40, v=21 → 45, 4

a=1159,b=1680,c=2041

alpha/2 = 19 / 61
= 6980 mod 8689

(1725, 4163i) 724=1 mod 8689

13*157 = 2041

40, 22u=40, v=23

a=1071,b=1840,c=2129

alpha/2 = 17 / 63
= 2207 mod 8689

(1482, 3709i) 1448=1 mod 8689

2129

40, 2440, 2540, 26u=40, v=27 → 48, 5

a=871,b=2160,c=2329

alpha/2 = 13 / 67
= 908 mod 8689

(984, 2403i) 1448=1 mod 8689

17*137 = 2329

40, 28u=40, v=29

a=759,b=2320,c=2441

alpha/2 = 11 / 69
= 2015 mod 8689

(2616, 2982i) 1448=1 mod 8689

2441

40, 30u=40, v=31 → 44, 25

a=639,b=2480,c=2561

alpha/2 = 9 / 71
= 5752 mod 8689

(2564, 2857i) 724=1 mod 8689

13*197 = 2561

40, 32u=40, v=33

a=511,b=2640,c=2689

alpha/2 = 7 / 73
= 3928 mod 8689

(348, 1157i) 2172=1 mod 8689

2689

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

a=231,b=2960,c=2969

alpha/2 = 3 / 77
= 6545 mod 8689

(1155, 2189i) 362=1 mod 8689

2969

40, 38u=40, v=39 f(u,39)=u2+1521;↓

a=79,b=3120,c=3121

alpha/2 = 1 / 79
= 110 mod 8689

(2023, 3494i) 4344=1 mod 8689

3121

41, 1u=41, v=2 → 34, 23

a=1677,b=164,c=1685

alpha/2 = 39 / 43
= 6063 mod 8689

(3821, 4214i) 4344=1 mod 8689

5*337 = 1685

41, 3u=41, v=4

a=1665,b=328,c=1697

alpha/2 = 37 / 45
= 387 mod 8689

(2387, 2734i) 1086=1 mod 8689

1697

41, 5u=41, v=6 → 39, 14

a=1645,b=492,c=1717

alpha/2 = 35 / 47
= 8320 mod 8689

(2363, 2678i) 4344=1 mod 8689

17*101 = 1717

41, 7u=41, v=8 → 31, 28

a=1617,b=656,c=1745

alpha/2 = 33 / 49
= 178 mod 8689

(2022, 3845i) 724=1 mod 8689

5*349 = 1745

41, 9u=41, v=10 → 34, 25

a=1581,b=820,c=1781

alpha/2 = 31 / 51
= 7497 mod 8689

(640, 1751i) 724=1 mod 8689

13*137 = 1781

41, 11u=41, v=12 → 36, 23

a=1537,b=984,c=1825

alpha/2 = 29 / 53
= 7378 mod 8689

(91, 1034i) 543=1 mod 8689

5*5*73 = 1825

41, 13u=41, v=14

a=1485,b=1148,c=1877

alpha/2 = 27 / 55
= 4266 mod 8689

(4093, 4153i) 4344=1 mod 8689

1877

41, 15u=41, v=16 → 44, 1

a=1425,b=1312,c=1937

alpha/2 = 25 / 57
= 8537 mod 8689

(1813, 2471i) 1448=1 mod 8689

13*149 = 1937

41, 17u=41, v=18 → 39, 22

a=1357,b=1476,c=2005

alpha/2 = 23 / 59
= 2504 mod 8689

(905, 4213i) 4344=1 mod 8689

5*401 = 2005

41, 19u=41, v=20

a=1281,b=1640,c=2081

alpha/2 = 21 / 61
= 855 mod 8689

(137, 3323i) 362=1 mod 8689

2081

41, 21u=41, v=22 → 46, 7

a=1197,b=1804,c=2165

alpha/2 = 19 / 63
= 4000 mod 8689

(1333, 3047i) 4344=1 mod 8689

5*433 = 2165

41, 23u=41, v=24 → 36, 31

a=1105,b=1968,c=2257

alpha/2 = 17 / 65
= 936 mod 8689

(1166, 3437i) 4344=1 mod 8689

37*61 = 2257

41, 25u=41, v=26

a=1005,b=2132,c=2357

alpha/2 = 15 / 67
= 5058 mod 8689

(329, 852i) 1448=1 mod 8689

2357

41, 27u=41, v=28 → 49, 8

a=897,b=2296,c=2465

alpha/2 = 13 / 69
= 5541 mod 8689

(2704, 3027i) 1448=1 mod 8689

5*17*29 = 2465

41, 29u=41, v=30 → 50, 9

a=781,b=2460,c=2581

alpha/2 = 11 / 71
= 2203 mod 8689

(1110, 1518i) 543=1 mod 8689

29*89 = 2581

41, 31u=41, v=32 → 52, 1

a=657,b=2624,c=2705

alpha/2 = 9 / 73
= 3809 mod 8689

(1255, 2464i) 4344=1 mod 8689

5*541 = 2705

41, 33u=41, v=34

a=525,b=2788,c=2837

alpha/2 = 7 / 75
= 7183 mod 8689

(821, 2589i) 4344=1 mod 8689

2837

41, 35u=41, v=36 → 49, 24

a=385,b=2952,c=2977

alpha/2 = 5 / 77
= 8012 mod 8689

(1970, 4272i) 1086=1 mod 8689

13*229 = 2977

41, 37u=41, v=38

a=237,b=3116,c=3125

alpha/2 = 3 / 79
= 330 mod 8689

(951, 1025i) 2172=1 mod 8689

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
= 1180 mod 8689

(385, 3652i) 2172=1 mod 8689

17*193 = 3281

u=42, v=1 f(42,v)=1764+v2;→ → 33, 26

a=1763,b=84,c=1765

alpha/2 = 41 / 43
= 3032 mod 8689

(1792, 2938i) 724=1 mod 8689

5*353 = 1765

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

a=1739,b=420,c=1789

alpha/2 = 37 / 47
= 2589 mod 8689

(3462, 3929i) 724=1 mod 8689

1789

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

a=1643,b=924,c=1885

alpha/2 = 31 / 53
= 4591 mod 8689

(2573, 4291i) 2172=1 mod 8689

5*13*29 = 1885

42, 12u=42, v=13

a=1595,b=1092,c=1933

alpha/2 = 29 / 55
= 4582 mod 8689

(1312, 2903i) 724=1 mod 8689

1933

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

a=1475,b=1428,c=2053

alpha/2 = 25 / 59
= 5744 mod 8689

(1870, 4068i) 1448=1 mod 8689

2053

42, 18u=42, v=19 → 46, 3

a=1403,b=1596,c=2125

alpha/2 = 23 / 61
= 3419 mod 8689

(2972, 3828i) 543=1 mod 8689

5*5*5*17 = 2125

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

a=1235,b=1932,c=2293

alpha/2 = 19 / 65
= 535 mod 8689

(16, 406i) 543=1 mod 8689

2293

42, 24u=42, v=25

a=1139,b=2100,c=2389

alpha/2 = 17 / 67
= 519 mod 8689

(346, 2896i) 1086=1 mod 8689

2389

42, 2642, 2742, 28u=42, v=29 → 51, 2

a=923,b=2436,c=2605

alpha/2 = 13 / 71
= 7343 mod 8689

(2656, 3546i) 1086=1 mod 8689

5*521 = 2605

42, 30u=42, v=31 → 49, 18

a=803,b=2604,c=2725

alpha/2 = 11 / 73
= 3690 mod 8689

(1469, 3673i) 1086=1 mod 8689

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
= 550 mod 8689

(430, 1896i) 2172=1 mod 8689

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
= 1675 mod 8689

(3183, 3520i) 362=1 mod 8689

5*13*53 = 3445

43, 1u=43, v=2 → 37, 22

a=1845,b=172,c=1853

alpha/2 = 41 / 45
= 194 mod 8689

(1510, 2292i) 2172=1 mod 8689

17*109 = 1853

43, 3u=43, v=4 → 32, 29

a=1833,b=344,c=1865

alpha/2 = 39 / 47
= 5547 mod 8689

(112, 1203i) 4344=1 mod 8689

5*373 = 1865

43, 5u=43, v=6 → 34, 27

a=1813,b=516,c=1885

alpha/2 = 37 / 49
= 2306 mod 8689

(3495, 3923i) 362=1 mod 8689

5*13*29 = 1885

43, 7u=43, v=8

a=1785,b=688,c=1913

alpha/2 = 35 / 51
= 4260 mod 8689

(278, 2575i) 362=1 mod 8689

1913

43, 9u=43, v=10

a=1749,b=860,c=1949

alpha/2 = 33 / 53
= 1804 mod 8689

(1909, 2991i) 4344=1 mod 8689

1949

43, 11u=43, v=12

a=1705,b=1032,c=1993

alpha/2 = 31 / 55
= 4898 mod 8689

(685, 2615i) 2172=1 mod 8689

1993

43, 13u=43, v=14 → 37, 26

a=1653,b=1204,c=2045

alpha/2 = 29 / 57
= 7470 mod 8689

(226, 2553i) 2172=1 mod 8689

5*409 = 2045

43, 15u=43, v=16 → 44, 13

a=1593,b=1376,c=2105

alpha/2 = 27 / 59
= 295 mod 8689

(379, 1151i) 543=1 mod 8689

5*421 = 2105

43, 17u=43, v=18 → 38, 27

a=1525,b=1548,c=2173

alpha/2 = 25 / 61
= 5983 mod 8689

(863, 2064i) 181=1 mod 8689

41*53 = 2173

43, 19u=43, v=20 → 35, 32

a=1449,b=1720,c=2249

alpha/2 = 23 / 63
= 7586 mod 8689

(217, 3940i) 2172=1 mod 8689

13*173 = 2249

43, 21u=43, v=22

a=1365,b=1892,c=2333

alpha/2 = 21 / 65
= 134 mod 8689

(1005, 4336i) 724=1 mod 8689

2333

43, 23u=43, v=24 → 48, 11

a=1273,b=2064,c=2425

alpha/2 = 19 / 67
= 4669 mod 8689

(266, 4096i) 1448=1 mod 8689

5*5*97 = 2425

43, 25u=43, v=26 → 37, 34

a=1173,b=2236,c=2525

alpha/2 = 17 / 69
= 3904 mod 8689

(942, 1783i) 4344=1 mod 8689

5*5*101 = 2525

43, 27u=43, v=28

a=1065,b=2408,c=2633

alpha/2 = 15 / 71
= 3794 mod 8689

(389, 1263i) 4344=1 mod 8689

2633

43, 29u=43, v=30

a=949,b=2580,c=2749

alpha/2 = 13 / 73
= 3571 mod 8689

(262, 2809i) 4344=1 mod 8689

2749

43, 31u=43, v=32 → 53, 8

a=825,b=2752,c=2873

alpha/2 = 11 / 75
= 116 mod 8689

(656, 2104i) 181=1 mod 8689

13*13*17 = 2873

43, 33u=43, v=34 → 53, 14

a=693,b=2924,c=3005

alpha/2 = 9 / 77
= 2257 mod 8689

(826, 2579i) 4344=1 mod 8689

5*601 = 3005

43, 35u=43, v=36 → 56, 3

a=553,b=3096,c=3145

alpha/2 = 7 / 79
= 770 mod 8689

(340, 1129i) 4344=1 mod 8689

5*17*37 = 3145

43, 37u=43, v=38 → 53, 22

a=405,b=3268,c=3293

alpha/2 = 5 / 81
= 5900 mod 8689

(2082, 2447i) 724=1 mod 8689

37*89 = 3293

43, 39u=43, v=40

a=249,b=3440,c=3449

alpha/2 = 3 / 83
= 5025 mod 8689

(132, 728i) 1086=1 mod 8689

3449

43, 41u=43, v=42 f(u,42)=u2+1764;↓

a=85,b=3612,c=3613

alpha/2 = 1 / 85
= 7769 mod 8689

(3123, 3819i) 4344=1 mod 8689

3613

u=44, v=1 f(44,v)=1936+v2;→ → 41, 16

a=1935,b=88,c=1937

alpha/2 = 43 / 45
= 4442 mod 8689

(2843, 3490i) 4344=1 mod 8689

13*149 = 1937

44, 2u=44, v=3 → 37, 24

a=1927,b=264,c=1945

alpha/2 = 41 / 47
= 8505 mod 8689

(2668, 4329i) 4344=1 mod 8689

5*389 = 1945

44, 4u=44, v=5 → 40, 19

a=1911,b=440,c=1961

alpha/2 = 39 / 49
= 3370 mod 8689

(1746, 3752i) 1086=1 mod 8689

37*53 = 1961

44, 6u=44, v=7 → 32, 31

a=1887,b=616,c=1985

alpha/2 = 37 / 51
= 6986 mod 8689

(1296, 1785i) 4344=1 mod 8689

5*397 = 1985

44, 8u=44, v=9

a=1855,b=792,c=2017

alpha/2 = 35 / 53
= 7706 mod 8689

(3398, 3657i) 724=1 mod 8689

2017

44, 1044, 1144, 12u=44, v=13 → 43, 16

a=1767,b=1144,c=2105

alpha/2 = 31 / 57
= 2592 mod 8689

(306, 3644i) 543=1 mod 8689

5*421 = 2105

44, 14u=44, v=15

a=1711,b=1320,c=2161

alpha/2 = 29 / 59
= 3535 mod 8689

(41, 2779i) 2172=1 mod 8689

2161

44, 16u=44, v=17 → 47, 4

a=1647,b=1496,c=2225

alpha/2 = 27 / 61
= 8547 mod 8689

(54, 1163i) 4344=1 mod 8689

5*5*89 = 2225

44, 18u=44, v=19

a=1575,b=1672,c=2297

alpha/2 = 25 / 63
= 690 mod 8689

(805, 1336i) 4344=1 mod 8689

2297

44, 20u=44, v=21

a=1495,b=1848,c=2377

alpha/2 = 23 / 65
= 8422 mod 8689

(1123, 4007i) 1448=1 mod 8689

2377

44, 22u=44, v=23 → 41, 28 → 49, 8

a=1407,b=2024,c=2465

alpha/2 = 21 / 67
= 130 mod 8689

(292, 3205i) 4344=1 mod 8689

5*17*29 = 2465

44, 24u=44, v=25 → 40, 31

a=1311,b=2200,c=2561

alpha/2 = 19 / 69
= 7430 mod 8689

(1930, 3051i) 543=1 mod 8689

13*197 = 2561

44, 26u=44, v=27 → 37, 36 → 51, 8

a=1207,b=2376,c=2665

alpha/2 = 17 / 71
= 245 mod 8689

(3566, 4164i) 1086=1 mod 8689

5*13*41 = 2665

44, 28u=44, v=29

a=1095,b=2552,c=2777

alpha/2 = 15 / 73
= 3452 mod 8689

(2163, 2412i) 1448=1 mod 8689

2777

44, 30u=44, v=31

a=975,b=2728,c=2897

alpha/2 = 13 / 75
= 927 mod 8689

(2882, 4092i) 2172=1 mod 8689

2897

44, 3244, 3344, 34u=44, v=35 → 56, 5

a=711,b=3080,c=3161

alpha/2 = 9 / 79
= 990 mod 8689

(3534, 3997i) 1448=1 mod 8689

29*109 = 3161

44, 36u=44, v=37 → 56, 13

a=567,b=3256,c=3305

alpha/2 = 7 / 81
= 8260 mod 8689

(233, 3949i) 4344=1 mod 8689

5*661 = 3305

44, 38u=44, v=39

a=415,b=3432,c=3457

alpha/2 = 5 / 83
= 8375 mod 8689

(1566, 3548i) 2172=1 mod 8689

3457

44, 40u=44, v=41

a=255,b=3608,c=3617

alpha/2 = 3 / 85
= 5929 mod 8689

(985, 1056i) 4344=1 mod 8689

3617

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

a=87,b=3784,c=3785

alpha/2 = 1 / 87
= 799 mod 8689

(1118, 1686i) 4344=1 mod 8689

5*757 = 3785

45, 1u=45, v=2

a=2021,b=180,c=2029

alpha/2 = 43 / 47
= 2774 mod 8689

(1290, 1409i) 4344=1 mod 8689

2029

45, 3u=45, v=4 → 40, 21

a=2009,b=360,c=2041

alpha/2 = 41 / 49
= 4434 mod 8689

(251, 3692i) 543=1 mod 8689

13*157 = 2041

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

a=1961,b=720,c=2089

alpha/2 = 37 / 53
= 4919 mod 8689

(948, 989i) 4344=1 mod 8689

2089

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

a=1829,b=1260,c=2221

alpha/2 = 31 / 59
= 6775 mod 8689

(2031, 3424i) 4344=1 mod 8689

2221

45, 15u=45, v=16

a=1769,b=1440,c=2281

alpha/2 = 29 / 61
= 2422 mod 8689

(563, 586i) 4344=1 mod 8689

2281

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

a=1541,b=1980,c=2509

alpha/2 = 23 / 67
= 4280 mod 8689

(3840, 4302i) 4344=1 mod 8689

13*193 = 2509

45, 2345, 2445, 25u=45, v=26 → 51, 10

a=1349,b=2340,c=2701

alpha/2 = 19 / 71
= 5385 mod 8689

(2410, 3517i) 4344=1 mod 8689

37*73 = 2701

45, 27u=45, v=28

a=1241,b=2520,c=2809

alpha/2 = 17 / 73
= 3333 mod 8689

(578, 2483i) 724=1 mod 8689

53*53 = 2809

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

a=1001,b=2880,c=3049

alpha/2 = 13 / 77
= 5191 mod 8689

(740, 4300i) 4344=1 mod 8689

3049

45, 33u=45, v=34

a=869,b=3060,c=3181

alpha/2 = 11 / 79
= 1210 mod 8689

(966, 3324i) 2172=1 mod 8689

3181

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

a=581,b=3420,c=3469

alpha/2 = 7 / 83
= 3036 mod 8689

(2098, 2545i) 1448=1 mod 8689

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
= 2636 mod 8689

(1587, 2130i) 1448=1 mod 8689

17*233 = 3961

u=46, v=1 f(46,v)=2116+v2;→ → 34, 31

a=2115,b=92,c=2117

alpha/2 = 45 / 47
= 5732 mod 8689

(788, 1493i) 1448=1 mod 8689

29*73 = 2117

46, 2u=46, v=3 → 42, 19

a=2107,b=276,c=2125

alpha/2 = 43 / 49
= 5498 mod 8689

(270, 4139i) 543=1 mod 8689

5*5*5*17 = 2125

46, 4u=46, v=5

a=2091,b=460,c=2141

alpha/2 = 41 / 51
= 3749 mod 8689

(3473, 4156i) 724=1 mod 8689

2141

46, 6u=46, v=7 → 41, 22

a=2067,b=644,c=2165

alpha/2 = 39 / 53
= 2132 mod 8689

(1213, 3207i) 1448=1 mod 8689

5*433 = 2165

46, 8u=46, v=9

a=2035,b=828,c=2197

alpha/2 = 37 / 55
= 5846 mod 8689

(3944, 3983i) 1448=1 mod 8689

13*13*13 = 2197

46, 10u=46, v=11

a=1995,b=1012,c=2237

alpha/2 = 35 / 57
= 1525 mod 8689

(1205, 4245i) 4344=1 mod 8689

2237

46, 12u=46, v=13 → 38, 29

a=1947,b=1196,c=2285

alpha/2 = 33 / 59
= 1326 mod 8689

(1916, 2102i) 724=1 mod 8689

5*457 = 2285

46, 14u=46, v=15

a=1891,b=1380,c=2341

alpha/2 = 31 / 61
= 4986 mod 8689

(378, 2898i) 2172=1 mod 8689

2341

46, 16u=46, v=17 → 38, 31 → 49, 2

a=1827,b=1564,c=2405

alpha/2 = 29 / 63
= 4276 mod 8689

(1388, 3912i) 2172=1 mod 8689

5*13*37 = 2405

46, 18u=46, v=19

a=1755,b=1748,c=2477

alpha/2 = 27 / 65
= 7620 mod 8689

(315, 2137i) 1448=1 mod 8689

2477

46, 20u=46, v=21

a=1675,b=1932,c=2557

alpha/2 = 25 / 67
= 8430 mod 8689

(2796, 2976i) 2172=1 mod 8689

2557

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

a=1491,b=2300,c=2741

alpha/2 = 21 / 71
= 1836 mod 8689

(1147, 3155i) 4344=1 mod 8689

2741

46, 26u=46, v=27 → 53, 6

a=1387,b=2484,c=2845

alpha/2 = 19 / 73
= 3214 mod 8689

(1045, 4014i) 4344=1 mod 8689

5*569 = 2845

46, 28u=46, v=29

a=1275,b=2668,c=2957

alpha/2 = 17 / 75
= 2549 mod 8689

(2813, 4228i) 1448=1 mod 8689

2957

46, 30u=46, v=31 → 49, 26

a=1155,b=2852,c=3077

alpha/2 = 15 / 77
= 6658 mod 8689

(1850, 3703i) 2172=1 mod 8689

17*181 = 3077

46, 32u=46, v=33 → 54, 17

a=1027,b=3036,c=3205

alpha/2 = 13 / 79
= 1430 mod 8689

(647, 2746i) 543=1 mod 8689

5*641 = 3205

46, 34u=46, v=35 → 50, 29

a=891,b=3220,c=3341

alpha/2 = 11 / 81
= 4291 mod 8689

(592, 1207i) 4344=1 mod 8689

13*257 = 3341

46, 36u=46, v=37 → 59, 2

a=747,b=3404,c=3485

alpha/2 = 9 / 83
= 6386 mod 8689

(547, 2139i) 1448=1 mod 8689

5*17*41 = 3485

46, 38u=46, v=39

a=595,b=3588,c=3637

alpha/2 = 7 / 85
= 2249 mod 8689

(1536, 3757i) 2172=1 mod 8689

3637

46, 40u=46, v=41

a=435,b=3772,c=3797

alpha/2 = 5 / 87
= 3995 mod 8689

(2699, 3451i) 2172=1 mod 8689

3797

46, 42u=46, v=43 → 62, 11

a=267,b=3956,c=3965

alpha/2 = 3 / 89
= 7908 mod 8689

(2096, 4225i) 4344=1 mod 8689

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
= 2960 mod 8689

(1835, 1985i) 181=1 mod 8689

41*101 = 4141

47, 1u=47, v=2

a=2205,b=188,c=2213

alpha/2 = 45 / 49
= 6562 mod 8689

(102, 2398i) 4344=1 mod 8689

2213

47, 3u=47, v=4 → 44, 17

a=2193,b=376,c=2225

alpha/2 = 43 / 51
= 6475 mod 8689

(2883, 3452i) 1448=1 mod 8689

5*5*89 = 2225

47, 5u=47, v=6 → 34, 33

a=2173,b=564,c=2245

alpha/2 = 41 / 53
= 8034 mod 8689

(2329, 3770i) 4344=1 mod 8689

5*449 = 2245

47, 7u=47, v=8

a=2145,b=752,c=2273

alpha/2 = 39 / 55
= 6162 mod 8689

(259, 2817i) 4344=1 mod 8689

2273

47, 9u=47, v=10

a=2109,b=940,c=2309

alpha/2 = 37 / 57
= 5336 mod 8689

(817, 2970i) 543=1 mod 8689

2309

47, 11u=47, v=12 → 48, 7

a=2065,b=1128,c=2353

alpha/2 = 35 / 59
= 4566 mod 8689

(396, 823i) 1448=1 mod 8689

13*181 = 2353

47, 13u=47, v=14 → 38, 31 → 49, 2

a=2013,b=1316,c=2405

alpha/2 = 33 / 61
= 7550 mod 8689

(321, 458i) 724=1 mod 8689

5*13*37 = 2405

47, 15u=47, v=16 → 41, 28 → 49, 8

a=1953,b=1504,c=2465

alpha/2 = 31 / 63
= 6069 mod 8689

(535, 2770i) 4344=1 mod 8689

5*17*29 = 2465

47, 17u=47, v=18 → 38, 33

a=1885,b=1692,c=2533

alpha/2 = 29 / 65
= 7219 mod 8689

(2745, 3455i) 181=1 mod 8689

17*149 = 2533

47, 19u=47, v=20

a=1809,b=1880,c=2609

alpha/2 = 27 / 67
= 3891 mod 8689

(3431, 3716i) 181=1 mod 8689

2609

47, 21u=47, v=22

a=1725,b=2068,c=2693

alpha/2 = 25 / 69
= 630 mod 8689

(2916, 3071i) 724=1 mod 8689

2693

47, 23u=47, v=24 → 52, 9

a=1633,b=2256,c=2785

alpha/2 = 23 / 71
= 6976 mod 8689

(2330, 3038i) 4344=1 mod 8689

5*557 = 2785

47, 25u=47, v=26 → 49, 22

a=1533,b=2444,c=2885

alpha/2 = 21 / 73
= 3095 mod 8689

(1749, 3187i) 362=1 mod 8689

5*577 = 2885

47, 27u=47, v=28 → 52, 17

a=1425,b=2632,c=2993

alpha/2 = 19 / 75
= 3360 mod 8689

(207, 3760i) 1448=1 mod 8689

41*73 = 2993

47, 29u=47, v=30

a=1309,b=2820,c=3109

alpha/2 = 17 / 77
= 8125 mod 8689

(2241, 4018i) 2172=1 mod 8689

3109

47, 31u=47, v=32 → 52, 23

a=1185,b=3008,c=3233

alpha/2 = 15 / 79
= 1650 mod 8689

(1502, 1936i) 4344=1 mod 8689

53*61 = 3233

47, 33u=47, v=34 → 58, 1

a=1053,b=3196,c=3365

alpha/2 = 13 / 81
= 6651 mod 8689

(2108, 2913i) 1448=1 mod 8689

5*673 = 3365

47, 35u=47, v=36 → 57, 16

a=913,b=3384,c=3505

alpha/2 = 11 / 83
= 1047 mod 8689

(2775, 4343i) 362=1 mod 8689

5*701 = 3505

47, 37u=47, v=38 → 58, 17

a=765,b=3572,c=3653

alpha/2 = 9 / 85
= 409 mod 8689

(2621, 3243i) 2172=1 mod 8689

13*281 = 3653

47, 39u=47, v=40 → 55, 28

a=609,b=3760,c=3809

alpha/2 = 7 / 87
= 5593 mod 8689

(569, 853i) 2172=1 mod 8689

13*293 = 3809

47, 41u=47, v=42 → 63, 2

a=445,b=3948,c=3973

alpha/2 = 5 / 89
= 4491 mod 8689

(1063, 3671i) 1086=1 mod 8689

29*137 = 3973

47, 43u=47, v=44 → 64, 7

a=273,b=4136,c=4145

alpha/2 = 3 / 91
= 191 mod 8689

(916, 1177i) 724=1 mod 8689

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
= 8035 mod 8689

(1332, 2229i) 4344=1 mod 8689

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
= 7626 mod 8689

(392, 1439i) 1086=1 mod 8689

5*461 = 2305

48, 248, 348, 4u=48, v=5 → 40, 27

a=2279,b=480,c=2329

alpha/2 = 43 / 53
= 5247 mod 8689

(3115, 3838i) 4344=1 mod 8689

17*137 = 2329

48, 6u=48, v=7 → 47, 12

a=2255,b=672,c=2353

alpha/2 = 41 / 55
= 6478 mod 8689

(2368, 3818i) 4344=1 mod 8689

13*181 = 2353

48, 848, 948, 10u=48, v=11 → 43, 24

a=2183,b=1056,c=2425

alpha/2 = 37 / 59
= 7806 mod 8689

(997, 2763i) 4344=1 mod 8689

5*5*97 = 2425

48, 12u=48, v=13

a=2135,b=1248,c=2473

alpha/2 = 35 / 61
= 1425 mod 8689

(166, 1946i) 4344=1 mod 8689

2473

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

a=2015,b=1632,c=2593

alpha/2 = 31 / 65
= 6818 mod 8689

(614, 1847i) 4344=1 mod 8689

2593

48, 18u=48, v=19 → 37, 36 → 51, 8

a=1943,b=1824,c=2665

alpha/2 = 29 / 67
= 8041 mod 8689

(71, 2562i) 362=1 mod 8689

5*13*41 = 2665

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

a=1775,b=2208,c=2833

alpha/2 = 25 / 71
= 3427 mod 8689

(714, 3419i) 362=1 mod 8689

2833

48, 24u=48, v=25 → 52, 15

a=1679,b=2400,c=2929

alpha/2 = 23 / 73
= 2976 mod 8689

(1736, 3620i) 724=1 mod 8689

29*101 = 2929

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

a=1463,b=2784,c=3145

alpha/2 = 19 / 77
= 903 mod 8689

(2295, 3500i) 1448=1 mod 8689

5*17*37 = 3145

48, 30u=48, v=31 → 57, 4

a=1343,b=2976,c=3265

alpha/2 = 17 / 79
= 1870 mod 8689

(617, 1846i) 4344=1 mod 8689

5*653 = 3265

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

a=1079,b=3360,c=3529

alpha/2 = 13 / 83
= 4397 mod 8689

(891, 1011i) 4344=1 mod 8689

3529

48, 36u=48, v=37

a=935,b=3552,c=3673

alpha/2 = 11 / 85
= 7258 mod 8689

(2078, 3411i) 4344=1 mod 8689

3673

48, 3848, 3948, 40u=48, v=41 → 63, 4

a=623,b=3936,c=3985

alpha/2 = 7 / 89
= 1074 mod 8689

(530, 4255i) 1086=1 mod 8689

5*797 = 3985

48, 42u=48, v=43

a=455,b=4128,c=4153

alpha/2 = 5 / 91
= 6111 mod 8689

(3446, 3631i) 2172=1 mod 8689

4153

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

a=95,b=4512,c=4513

alpha/2 = 1 / 95
= 3750 mod 8689

(1496, 3095i) 4344=1 mod 8689

4513

49, 1u=49, v=2 → 38, 31

a=2397,b=196,c=2405

alpha/2 = 47 / 51
= 3238 mod 8689

(895, 4115i) 543=1 mod 8689

5*13*37 = 2405

49, 3u=49, v=4

a=2385,b=392,c=2417

alpha/2 = 45 / 53
= 2460 mod 8689

(134, 543i) 724=1 mod 8689

2417

49, 5u=49, v=6

a=2365,b=588,c=2437

alpha/2 = 43 / 55
= 6794 mod 8689

(367, 1550i) 2172=1 mod 8689

2437

49, 7u=49, v=8 → 41, 28

a=2337,b=784,c=2465

alpha/2 = 41 / 57
= 4269 mod 8689

(133, 2993i) 1448=1 mod 8689

5*17*29 = 2465

49, 9u=49, v=10 → 50, 1

a=2301,b=980,c=2501

alpha/2 = 39 / 59
= 2357 mod 8689

(529, 4325i) 4344=1 mod 8689

41*61 = 2501

49, 11u=49, v=12 → 39, 32

a=2257,b=1176,c=2545

alpha/2 = 37 / 61
= 3989 mod 8689

(1766, 2206i) 2172=1 mod 8689

5*509 = 2545

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

a=2145,b=1568,c=2657

alpha/2 = 33 / 65
= 6417 mod 8689

(1891, 3987i) 724=1 mod 8689

2657

49, 17u=49, v=18 → 42, 31

a=2077,b=1764,c=2725

alpha/2 = 31 / 67
= 3502 mod 8689

(1836, 3690i) 1086=1 mod 8689

5*5*109 = 2725

49, 19u=49, v=20

a=2001,b=1960,c=2801

alpha/2 = 29 / 69
= 7682 mod 8689

(1935, 2208i) 2172=1 mod 8689

2801

49, 21u=49, v=22 → 47, 26

a=1917,b=2156,c=2885

alpha/2 = 27 / 71
= 8567 mod 8689

(832, 2642i) 543=1 mod 8689

5*577 = 2885

49, 23u=49, v=24 → 41, 36

a=1825,b=2352,c=2977

alpha/2 = 25 / 73
= 2857 mod 8689

(875, 2556i) 724=1 mod 8689

13*229 = 2977

49, 25u=49, v=26 → 46, 31

a=1725,b=2548,c=3077

alpha/2 = 23 / 75
= 4982 mod 8689

(2315, 3028i) 724=1 mod 8689

17*181 = 3077

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

a=1501,b=2940,c=3301

alpha/2 = 19 / 79
= 2090 mod 8689

(347, 4044i) 4344=1 mod 8689

3301

49, 31u=49, v=32 → 56, 17

a=1377,b=3136,c=3425

alpha/2 = 17 / 81
= 2682 mod 8689

(1504, 2033i) 1448=1 mod 8689

5*5*137 = 3425

49, 33u=49, v=34

a=1245,b=3332,c=3557

alpha/2 = 15 / 83
= 7747 mod 8689

(1240, 2812i) 2172=1 mod 8689

3557

49, 35u=49, v=36

a=1105,b=3528,c=3697

alpha/2 = 13 / 85
= 5418 mod 8689

(793, 837i) 4344=1 mod 8689

3697

49, 37u=49, v=38 → 62, 1

a=957,b=3724,c=3845

alpha/2 = 11 / 87
= 100 mod 8689

(3338, 3617i) 4344=1 mod 8689

5*769 = 3845

49, 39u=49, v=40

a=801,b=3920,c=4001

alpha/2 = 9 / 89
= 6346 mod 8689

(1781, 2164i) 4344=1 mod 8689

4001

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

a=465,b=4312,c=4337

alpha/2 = 5 / 93
= 5419 mod 8689

(62, 2892i) 2172=1 mod 8689

4337

49, 45u=49, v=46

a=285,b=4508,c=4517

alpha/2 = 3 / 95
= 2561 mod 8689

(1135, 4081i) 1086=1 mod 8689

4517

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

a=97,b=4704,c=4705

alpha/2 = 1 / 97
= 6360 mod 8689

(941, 4290i) 4344=1 mod 8689

5*941 = 4705

u=50, v=1 f(50,v)=2500+v2;→ → 49, 10

a=2499,b=100,c=2501

alpha/2 = 49 / 51
= 5964 mod 8689

(264, 4177i) 4344=1 mod 8689

41*61 = 2501

50, 2u=50, v=3 → 45, 22

a=2491,b=300,c=2509

alpha/2 = 47 / 53
= 8362 mod 8689

(928, 986i) 4344=1 mod 8689

13*193 = 2509

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

a=2451,b=700,c=2549

alpha/2 = 43 / 57
= 8080 mod 8689

(1102, 2066i) 2172=1 mod 8689

2549

50, 8u=50, v=9 → 41, 30

a=2419,b=900,c=2581

alpha/2 = 41 / 59
= 5597 mod 8689

(3253, 3585i) 2172=1 mod 8689

29*89 = 2581

50, 10u=50, v=11

a=2379,b=1100,c=2621

alpha/2 = 39 / 61
= 6553 mod 8689

(3265, 3326i) 1086=1 mod 8689

2621

50, 12u=50, v=13 → 38, 35

a=2331,b=1300,c=2669

alpha/2 = 37 / 63
= 2759 mod 8689

(1039, 1990i) 1448=1 mod 8689

17*157 = 2669

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

a=2211,b=1700,c=2789

alpha/2 = 33 / 67
= 7652 mod 8689

(1473, 2800i) 724=1 mod 8689

2789

50, 18u=50, v=19

a=2139,b=1900,c=2861

alpha/2 = 31 / 69
= 2519 mod 8689

(602, 1618i) 1448=1 mod 8689

2861

50, 20u=50, v=21 → 54, 5

a=2059,b=2100,c=2941

alpha/2 = 29 / 71
= 5018 mod 8689

(500, 2122i) 4344=1 mod 8689

17*173 = 2941

50, 22u=50, v=23 → 55, 2

a=1971,b=2300,c=3029

alpha/2 = 27 / 73
= 2738 mod 8689

(61, 4024i) 12=1 mod 8689

13*233 = 3029

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

a=1771,b=2700,c=3229

alpha/2 = 23 / 77
= 3837 mod 8689

(2417, 2865i) 4344=1 mod 8689

3229

50, 28u=50, v=29 → 46, 35

a=1659,b=2900,c=3341

alpha/2 = 21 / 79
= 2310 mod 8689

(375, 2651i) 4344=1 mod 8689

13*257 = 3341

50, 30u=50, v=31

a=1539,b=3100,c=3461

alpha/2 = 19 / 81
= 5042 mod 8689

(1216, 1680i) 2172=1 mod 8689

3461

50, 32u=50, v=33 → 58, 15

a=1411,b=3300,c=3589

alpha/2 = 17 / 83
= 2408 mod 8689

(1361, 1534i) 2172=1 mod 8689

37*97 = 3589

50, 3450, 3550, 36u=50, v=37 → 62, 5

a=1131,b=3700,c=3869

alpha/2 = 13 / 87
= 1698 mod 8689

(3319, 3498i) 1448=1 mod 8689

53*73 = 3869

50, 38u=50, v=39

a=979,b=3900,c=4021

alpha/2 = 11 / 89
= 2929 mod 8689

(1073, 3159i) 4344=1 mod 8689

4021

50, 40u=50, v=41 → 55, 34

a=819,b=4100,c=4181

alpha/2 = 9 / 91
= 573 mod 8689

(553, 4064i) 362=1 mod 8689

37*113 = 4181

50, 42u=50, v=43

a=651,b=4300,c=4349

alpha/2 = 7 / 93
= 4111 mod 8689

(1921, 3041i) 181=1 mod 8689

4349

50, 4450, 4550, 46u=50, v=47 → 65, 22

a=291,b=4700,c=4709

alpha/2 = 3 / 97
= 1702 mod 8689

(1002, 2359i) 1086=1 mod 8689

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
= 4915 mod 8689

(1375, 2998i) 4344=1 mod 8689

13*13*29 = 4901

51, 1u=51, v=2 → 42, 29

a=2597,b=204,c=2605

alpha/2 = 49 / 53
= 5575 mod 8689

(120, 3061i) 181=1 mod 8689

5*521 = 2605

51, 3u=51, v=4

a=2585,b=408,c=2617

alpha/2 = 47 / 55
= 7426 mod 8689

(1305, 1432i) 1448=1 mod 8689

2617

51, 551, 651, 7u=51, v=8 → 37, 36

a=2537,b=816,c=2665

alpha/2 = 43 / 59
= 148 mod 8689

(3382, 3427i) 724=1 mod 8689

5*13*41 = 2665

51, 9u=51, v=10 → 45, 26

a=2501,b=1020,c=2701

alpha/2 = 41 / 61
= 428 mod 8689

(2671, 3761i) 4344=1 mod 8689

37*73 = 2701

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

a=2405,b=1428,c=2797

alpha/2 = 37 / 65
= 5615 mod 8689

(170, 1239i) 2172=1 mod 8689

2797

51, 15u=51, v=16

a=2345,b=1632,c=2857

alpha/2 = 35 / 67
= 3113 mod 8689

(1634, 3576i) 1086=1 mod 8689

2857

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

a=2201,b=2040,c=3001

alpha/2 = 31 / 71
= 1469 mod 8689

(2676, 3604i) 1448=1 mod 8689

3001

51, 21u=51, v=22 → 54, 13

a=2117,b=2244,c=3085

alpha/2 = 29 / 73
= 2619 mod 8689

(1861, 3189i) 2172=1 mod 8689

5*617 = 3085

51, 2351, 2451, 25u=51, v=26 → 54, 19

a=1925,b=2652,c=3277

alpha/2 = 25 / 77
= 5304 mod 8689

(1996, 3583i) 2172=1 mod 8689

29*113 = 3277

51, 27u=51, v=28 → 53, 24

a=1817,b=2856,c=3385

alpha/2 = 23 / 79
= 2530 mod 8689

(2673, 3511i) 4344=1 mod 8689

5*677 = 3385

51, 2951, 3051, 31u=51, v=32 → 59, 12

a=1577,b=3264,c=3625

alpha/2 = 19 / 83
= 5758 mod 8689

(976, 1976i) 1448=1 mod 8689

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
= 8201 mod 8689

(158, 1585i) 1448=1 mod 8689

5*809 = 4045

51, 39u=51, v=40

a=1001,b=4080,c=4201

alpha/2 = 11 / 91
= 6493 mod 8689

(789, 2960i) 1448=1 mod 8689

4201

51, 4151, 4251, 43u=51, v=44 → 64, 21

a=665,b=4488,c=4537

alpha/2 = 7 / 95
= 183 mod 8689

(2211, 3953i) 1448=1 mod 8689

13*349 = 4537

51, 45u=51, v=46 → 66, 19

a=485,b=4692,c=4717

alpha/2 = 5 / 97
= 5733 mod 8689

(2273, 2390i) 2172=1 mod 8689

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
= 5764 mod 8689

(202, 2923i) 1448=1 mod 8689

5101

u=52, v=1 f(52,v)=2704+v2;→ → 41, 32

a=2703,b=104,c=2705

alpha/2 = 51 / 53
= 2788 mod 8689

(1210, 2149i) 1448=1 mod 8689

5*541 = 2705

52, 2u=52, v=3

a=2695,b=312,c=2713

alpha/2 = 49 / 55
= 7742 mod 8689

(2592, 4327i) 4344=1 mod 8689

2713

52, 4u=52, v=5

a=2679,b=520,c=2729

alpha/2 = 47 / 57
= 7013 mod 8689

(1386, 2974i) 543=1 mod 8689

2729

52, 6u=52, v=7

a=2655,b=728,c=2753

alpha/2 = 45 / 59
= 3388 mod 8689

(1497, 2541i) 1448=1 mod 8689

2753

52, 8u=52, v=9 → 47, 24

a=2623,b=936,c=2785

alpha/2 = 43 / 61
= 2992 mod 8689

(2437, 4264i) 4344=1 mod 8689

5*557 = 2785

52, 10u=52, v=11 → 53, 4

a=2583,b=1144,c=2825

alpha/2 = 41 / 63
= 6345 mod 8689

(2371, 3009i) 4344=1 mod 8689

5*5*113 = 2825

52, 1252, 1352, 14u=52, v=15 → 48, 25

a=2479,b=1560,c=2929

alpha/2 = 37 / 67
= 7263 mod 8689

(2353, 2850i) 181=1 mod 8689

29*101 = 2929

52, 16u=52, v=17 → 47, 28

a=2415,b=1768,c=2993

alpha/2 = 35 / 69
= 882 mod 8689

(1037, 3171i) 1448=1 mod 8689

41*73 = 2993

52, 18u=52, v=19 → 53, 16

a=2343,b=1976,c=3065

alpha/2 = 33 / 71
= 6609 mod 8689

(175, 939i) 4344=1 mod 8689

5*613 = 3065

52, 20u=52, v=21 → 43, 36 → 56, 3

a=2263,b=2184,c=3145

alpha/2 = 31 / 73
= 2500 mod 8689

(527, 2961i) 4344=1 mod 8689

5*17*37 = 3145

52, 22u=52, v=23 → 47, 32

a=2175,b=2392,c=3233

alpha/2 = 29 / 75
= 7415 mod 8689

(1327, 3758i) 4344=1 mod 8689

53*61 = 3233

52, 24u=52, v=25

a=2079,b=2600,c=3329

alpha/2 = 27 / 77
= 6771 mod 8689

(1247, 2270i) 4344=1 mod 8689

3329

52, 26u=52, v=27

a=1975,b=2808,c=3433

alpha/2 = 25 / 79
= 2750 mod 8689

(2024, 2290i) 181=1 mod 8689

3433

52, 28u=52, v=29 → 59, 8

a=1863,b=3016,c=3545

alpha/2 = 23 / 81
= 1073 mod 8689

(1621, 2606i) 2172=1 mod 8689

5*709 = 3545

52, 30u=52, v=31 → 56, 23

a=1743,b=3224,c=3665

alpha/2 = 21 / 83
= 419 mod 8689

(2476, 3872i) 1448=1 mod 8689

5*733 = 3665

52, 32u=52, v=33

a=1615,b=3432,c=3793

alpha/2 = 19 / 85
= 8587 mod 8689

(3110, 4314i) 2172=1 mod 8689

3793

52, 34u=52, v=35

a=1479,b=3640,c=3929

alpha/2 = 17 / 87
= 4894 mod 8689

(1023, 3196i) 1086=1 mod 8689

3929

52, 36u=52, v=37

a=1335,b=3848,c=4073

alpha/2 = 15 / 89
= 4784 mod 8689

(725, 1490i) 181=1 mod 8689

4073

52, 3852, 3952, 40u=52, v=41 → 64, 17

a=1023,b=4264,c=4385

alpha/2 = 11 / 93
= 1495 mod 8689

(1178, 1262i) 1086=1 mod 8689

5*877 = 4385

52, 42u=52, v=43 → 67, 8

a=855,b=4472,c=4553

alpha/2 = 9 / 95
= 7683 mod 8689

(2251, 2317i) 2172=1 mod 8689

29*157 = 4553

52, 44u=52, v=45

a=679,b=4680,c=4729

alpha/2 = 7 / 97
= 1075 mod 8689

(1581, 4145i) 4344=1 mod 8689

4729

52, 46u=52, v=47

a=495,b=4888,c=4913

alpha/2 = 5 / 99
= 7197 mod 8689

(2133, 2263i) 724=1 mod 8689

17*17*17 = 4913

52, 48u=52, v=49 → 71, 8

a=303,b=5096,c=5105

alpha/2 = 3 / 101
= 8603 mod 8689

(1492, 1937i) 2172=1 mod 8689

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
= 5399 mod 8689

(3926, 4004i) 4344=1 mod 8689

5*1061 = 5305

53, 1u=53, v=2 → 38, 37

a=2805,b=212,c=2813

alpha/2 = 51 / 55
= 8058 mod 8689

(555, 2644i) 2172=1 mod 8689

29*97 = 2813

53, 3u=53, v=4 → 52, 11

a=2793,b=424,c=2825

alpha/2 = 49 / 57
= 2135 mod 8689

(818, 2194i) 1448=1 mod 8689

5*5*113 = 2825

53, 5u=53, v=6 → 46, 27

a=2773,b=636,c=2845

alpha/2 = 47 / 59
= 6628 mod 8689

(1018, 4050i) 24=1 mod 8689

5*569 = 2845

53, 7u=53, v=8 → 43, 32

a=2745,b=848,c=2873

alpha/2 = 45 / 61
= 5556 mod 8689

(503, 3191i) 1086=1 mod 8689

13*13*17 = 2873

53, 9u=53, v=10

a=2709,b=1060,c=2909

alpha/2 = 43 / 63
= 8138 mod 8689

(541, 3216i) 724=1 mod 8689

2909

53, 11u=53, v=12

a=2665,b=1272,c=2953

alpha/2 = 41 / 65
= 4813 mod 8689

(182, 2253i) 2172=1 mod 8689

2953

53, 13u=53, v=14 → 43, 34

a=2613,b=1484,c=3005

alpha/2 = 39 / 67
= 2724 mod 8689

(2012, 3894i) 4344=1 mod 8689

5*601 = 3005

53, 15u=53, v=16 → 52, 19

a=2553,b=1696,c=3065

alpha/2 = 37 / 69
= 4408 mod 8689

(1200, 2002i) 4344=1 mod 8689

5*613 = 3065

53, 17u=53, v=18 → 42, 37

a=2485,b=1908,c=3133

alpha/2 = 35 / 71
= 3060 mod 8689

(2627, 4334i) 1086=1 mod 8689

13*241 = 3133

53, 19u=53, v=20

a=2409,b=2120,c=3209

alpha/2 = 33 / 73
= 2381 mod 8689

(507, 1777i) 4344=1 mod 8689

3209

53, 21u=53, v=22 → 43, 38

a=2325,b=2332,c=3293

alpha/2 = 31 / 75
= 8226 mod 8689

(1564, 2944i) 1086=1 mod 8689

37*89 = 3293

53, 23u=53, v=24 → 51, 28

a=2233,b=2544,c=3385

alpha/2 = 29 / 77
= 8238 mod 8689

(274, 1927i) 4344=1 mod 8689

5*677 = 3385

53, 25u=53, v=26 → 46, 37 → 59, 2

a=2133,b=2756,c=3485

alpha/2 = 27 / 79
= 2970 mod 8689

(3000, 3774i) 1448=1 mod 8689

5*17*41 = 3485

53, 27u=53, v=28

a=2025,b=2968,c=3593

alpha/2 = 25 / 81
= 3433 mod 8689

(478, 4009i) 1448=1 mod 8689

3593

53, 29u=53, v=30

a=1909,b=3180,c=3709

alpha/2 = 23 / 83
= 3769 mod 8689

(1883, 1885i) 4344=1 mod 8689

3709

53, 31u=53, v=32

a=1785,b=3392,c=3833

alpha/2 = 21 / 85
= 6747 mod 8689

(486, 1347i) 4344=1 mod 8689

3833

53, 33u=53, v=34 → 46, 43 → 62, 11

a=1653,b=3604,c=3965

alpha/2 = 19 / 87
= 6492 mod 8689

(1971, 3327i) 1448=1 mod 8689

5*13*61 = 3965

53, 35u=53, v=36 → 64, 3

a=1513,b=3816,c=4105

alpha/2 = 17 / 89
= 1367 mod 8689

(3277, 3866i) 1448=1 mod 8689

5*821 = 4105

53, 37u=53, v=38

a=1365,b=4028,c=4253

alpha/2 = 15 / 91
= 955 mod 8689

(1143, 2294i) 2172=1 mod 8689

4253

53, 39u=53, v=40

a=1209,b=4240,c=4409

alpha/2 = 13 / 93
= 187 mod 8689

(2760, 3656i) 1448=1 mod 8689

4409

53, 41u=53, v=42 → 62, 27

a=1045,b=4452,c=4573

alpha/2 = 11 / 95
= 6494 mod 8689

(2129, 3722i) 724=1 mod 8689

17*269 = 4573

53, 43u=53, v=44 → 68, 11

a=873,b=4664,c=4745

alpha/2 = 9 / 97
= 5106 mod 8689

(1267, 4002i) 1448=1 mod 8689

5*13*73 = 4745

53, 45u=53, v=46 → 59, 38

a=693,b=4876,c=4925

alpha/2 = 7 / 99
= 8338 mod 8689

(2491, 3249i) 4344=1 mod 8689

5*5*197 = 4925

53, 47u=53, v=48

a=505,b=5088,c=5113

alpha/2 = 5 / 101
= 2753 mod 8689

(293, 4201i) 181=1 mod 8689

5113

53, 49u=53, v=50

a=309,b=5300,c=5309

alpha/2 = 3 / 103
= 7508 mod 8689

(2055, 3905i) 543=1 mod 8689

5309

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

a=105,b=5512,c=5513

alpha/2 = 1 / 105
= 8358 mod 8689

(2847, 3614i) 1448=1 mod 8689

37*149 = 5513

u=54, v=1 f(54,v)=2916+v2;→

a=2915,b=108,c=2917

alpha/2 = 53 / 55
= 8374 mod 8689

(2802, 3649i) 2172=1 mod 8689

2917

54, 254, 354, 4u=54, v=5 → 50, 21

a=2891,b=540,c=2941

alpha/2 = 49 / 59
= 1179 mod 8689

(778, 3773i) 4344=1 mod 8689

17*173 = 2941

54, 6u=54, v=7 → 39, 38

a=2867,b=756,c=2965

alpha/2 = 47 / 61
= 8120 mod 8689

(2953, 3279i) 4344=1 mod 8689

5*593 = 2965

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

a=2795,b=1188,c=3037

alpha/2 = 43 / 65
= 4412 mod 8689

(164, 2380i) 4344=1 mod 8689

3037

54, 12u=54, v=13 → 51, 22

a=2747,b=1404,c=3085

alpha/2 = 41 / 67
= 6874 mod 8689

(2326, 2979i) 2172=1 mod 8689

5*617 = 3085

54, 1454, 1554, 16u=54, v=17 → 46, 33

a=2627,b=1836,c=3205

alpha/2 = 37 / 71
= 8200 mod 8689

(1538, 3860i) 543=1 mod 8689

5*641 = 3205

54, 18u=54, v=19 → 51, 26

a=2555,b=2052,c=3277

alpha/2 = 35 / 73
= 2262 mod 8689

(2851, 3986i) 543=1 mod 8689

29*113 = 3277

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

a=2387,b=2484,c=3445

alpha/2 = 31 / 77
= 1016 mod 8689

(2364, 3659i) 2172=1 mod 8689

5*13*53 = 3445

54, 24u=54, v=25

a=2291,b=2700,c=3541

alpha/2 = 29 / 79
= 3190 mod 8689

(121, 1825i) 543=1 mod 8689

3541

54, 2654, 2754, 28u=54, v=29 → 61, 6

a=2075,b=3132,c=3757

alpha/2 = 25 / 83
= 7119 mod 8689

(2222, 4250i) 4344=1 mod 8689

13*17*17 = 3757

54, 30u=54, v=31

a=1955,b=3348,c=3877

alpha/2 = 23 / 85
= 4907 mod 8689

(1584, 3966i) 1448=1 mod 8689

3877

54, 3254, 3354, 34u=54, v=35 → 46, 45

a=1691,b=3780,c=4141

alpha/2 = 19 / 89
= 6639 mod 8689

(2431, 2703i) 724=1 mod 8689

41*101 = 4141

54, 36u=54, v=37 → 62, 21

a=1547,b=3996,c=4285

alpha/2 = 17 / 91
= 6875 mod 8689

(26, 3718i) 362=1 mod 8689

5*857 = 4285

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

a=1235,b=4428,c=4597

alpha/2 = 13 / 95
= 5305 mod 8689

(2116, 2576i) 4344=1 mod 8689

4597

54, 42u=54, v=43 → 69, 2

a=1067,b=4644,c=4765

alpha/2 = 11 / 97
= 448 mod 8689

(2470, 3505i) 724=1 mod 8689

5*953 = 4765

54, 4454, 4554, 46u=54, v=47 → 63, 34

a=707,b=5076,c=5125

alpha/2 = 7 / 101
= 5592 mod 8689

(2105, 3157i) 1448=1 mod 8689

5*5*5*41 = 5125

54, 48u=54, v=49 → 66, 31

a=515,b=5292,c=5317

alpha/2 = 5 / 103
= 928 mod 8689

(894, 4176i) 4344=1 mod 8689

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
= 2761 mod 8689

(213, 3169i) 1448=1 mod 8689

5*5*229 = 5725

55, 1u=55, v=2 → 50, 23

a=3021,b=220,c=3029

alpha/2 = 53 / 57
= 1068 mod 8689

(785, 4237i) 181=1 mod 8689

13*233 = 3029

55, 3u=55, v=4

a=3009,b=440,c=3041

alpha/2 = 51 / 59
= 4419 mod 8689

(37, 2682i) 1086=1 mod 8689

3041

55, 5u=55, v=6

a=2989,b=660,c=3061

alpha/2 = 49 / 61
= 1995 mod 8689

(703, 3557i) 1448=1 mod 8689

3061

55, 7u=55, v=8

a=2961,b=880,c=3089

alpha/2 = 47 / 63
= 3035 mod 8689

(1117, 4269i) 2172=1 mod 8689

3089

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

a=2881,b=1320,c=3169

alpha/2 = 43 / 67
= 2335 mod 8689

(1322, 4079i) 543=1 mod 8689

3169

55, 13u=55, v=14

a=2829,b=1540,c=3221

alpha/2 = 41 / 69
= 2771 mod 8689

(540, 4086i) 1448=1 mod 8689

3221

55, 15u=55, v=16 → 41, 40

a=2769,b=1760,c=3281

alpha/2 = 39 / 71
= 4651 mod 8689

(1902, 3238i) 2172=1 mod 8689

17*193 = 3281

55, 17u=55, v=18 → 57, 10

a=2701,b=1980,c=3349

alpha/2 = 37 / 73
= 2143 mod 8689

(98, 665i) 4344=1 mod 8689

17*197 = 3349

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

a=2449,b=2640,c=3601

alpha/2 = 31 / 79
= 3410 mod 8689

(657, 1393i) 4344=1 mod 8689

13*277 = 3601

55, 25u=55, v=26

a=2349,b=2860,c=3701

alpha/2 = 29 / 81
= 8153 mod 8689

(961, 2981i) 724=1 mod 8689

3701

55, 27u=55, v=28 → 47, 40

a=2241,b=3080,c=3809

alpha/2 = 27 / 83
= 1780 mod 8689

(799, 2777i) 362=1 mod 8689

13*293 = 3809

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

a=2001,b=3520,c=4049

alpha/2 = 23 / 87
= 999 mod 8689

(600, 1140i) 4344=1 mod 8689

4049

55, 33u=55, v=34 → 50, 41

a=1869,b=3740,c=4181

alpha/2 = 21 / 89
= 3222 mod 8689

(148, 1040i) 2172=1 mod 8689

37*113 = 4181

55, 35u=55, v=36 → 64, 15

a=1729,b=3960,c=4321

alpha/2 = 19 / 91
= 4106 mod 8689

(908, 3439i) 4344=1 mod 8689

29*149 = 4321

55, 37u=55, v=38 → 62, 25

a=1581,b=4180,c=4469

alpha/2 = 17 / 93
= 6260 mod 8689

(1583, 4119i) 1448=1 mod 8689

41*109 = 4469

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

a=1261,b=4620,c=4789

alpha/2 = 13 / 97
= 4479 mod 8689

(2114, 2405i) 4344=1 mod 8689

4789

55, 4355, 4455, 45u=55, v=46 → 71, 10

a=909,b=5060,c=5141

alpha/2 = 9 / 101
= 8431 mod 8689

(1030, 3877i) 2172=1 mod 8689

53*97 = 5141

55, 47u=55, v=48

a=721,b=5280,c=5329

alpha/2 = 7 / 103
= 3037 mod 8689

(2481, 4218i) 362=1 mod 8689

73*73 = 5329

55, 4955, 5055, 51u=55, v=52 → 73, 20

a=321,b=5720,c=5729

alpha/2 = 3 / 107
= 8283 mod 8689

(820, 3144i) 4344=1 mod 8689

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
= 8131 mod 8689

(1895, 2090i) 1448=1 mod 8689

13*457 = 5941

u=56, v=1 f(56,v)=3136+v2;→

a=3135,b=112,c=3137

alpha/2 = 55 / 57
= 4879 mod 8689

(699, 4332i) 2172=1 mod 8689

3137

56, 2u=56, v=3 → 43, 36

a=3127,b=336,c=3145

alpha/2 = 53 / 59
= 7659 mod 8689

(3074, 3423i) 4344=1 mod 8689

5*17*37 = 3145

56, 4u=56, v=5 → 44, 35

a=3111,b=560,c=3161

alpha/2 = 51 / 61
= 4559 mod 8689

(2932, 3307i) 1448=1 mod 8689

29*109 = 3161

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

a=3055,b=1008,c=3217

alpha/2 = 47 / 65
= 3610 mod 8689

(2945, 3887i) 1086=1 mod 8689

3217

56, 10u=56, v=11

a=3015,b=1232,c=3257

alpha/2 = 45 / 67
= 6485 mod 8689

(177, 896i) 4344=1 mod 8689

3257

56, 12u=56, v=13 → 44, 37

a=2967,b=1456,c=3305

alpha/2 = 43 / 69
= 6297 mod 8689

(1988, 3884i) 1448=1 mod 8689

5*661 = 3305

56, 14u=56, v=15

a=2911,b=1680,c=3361

alpha/2 = 41 / 71
= 1102 mod 8689

(3316, 3836i) 4344=1 mod 8689

3361

56, 16u=56, v=17 → 49, 32

a=2847,b=1904,c=3425

alpha/2 = 39 / 73
= 2024 mod 8689

(924, 4065i) 4344=1 mod 8689

5*5*137 = 3425

56, 18u=56, v=19 → 59, 4

a=2775,b=2128,c=3497

alpha/2 = 37 / 75
= 1970 mod 8689

(469, 926i) 4344=1 mod 8689

13*269 = 3497

56, 2056, 2156, 22u=56, v=23 → 52, 31

a=2607,b=2576,c=3665

alpha/2 = 33 / 79
= 3630 mod 8689

(445, 803i) 4344=1 mod 8689

5*733 = 3665

56, 24u=56, v=25

a=2511,b=2800,c=3761

alpha/2 = 31 / 81
= 1824 mod 8689

(593, 2372i) 4344=1 mod 8689

3761

56, 26u=56, v=27 → 61, 12

a=2407,b=3024,c=3865

alpha/2 = 29 / 83
= 5130 mod 8689

(260, 747i) 4344=1 mod 8689

5*773 = 3865

56, 28u=56, v=29 → 61, 16

a=2295,b=3248,c=3977

alpha/2 = 27 / 85
= 1227 mod 8689

(2299, 3053i) 2172=1 mod 8689

41*97 = 3977

56, 30u=56, v=31 → 64, 1

a=2175,b=3472,c=4097

alpha/2 = 25 / 87
= 2597 mod 8689

(1062, 3602i) 4344=1 mod 8689

17*241 = 4097

56, 32u=56, v=33 → 63, 16

a=2047,b=3696,c=4225

alpha/2 = 23 / 89
= 8494 mod 8689

(1435, 1776i) 724=1 mod 8689

5*5*13*13 = 4225

56, 3456, 3556, 36u=56, v=37 → 67, 4

a=1767,b=4144,c=4505

alpha/2 = 19 / 93
= 4952 mod 8689

(1677, 2772i) 4344=1 mod 8689

5*17*53 = 4505

56, 38u=56, v=39

a=1615,b=4368,c=4657

alpha/2 = 17 / 95
= 2927 mod 8689

(723, 968i) 181=1 mod 8689

4657

56, 40u=56, v=41

a=1455,b=4592,c=4817

alpha/2 = 15 / 97
= 8510 mod 8689

(141, 827i) 724=1 mod 8689

4817

56, 42u=56, v=43 → 68, 19

a=1287,b=4816,c=4985

alpha/2 = 13 / 99
= 3072 mod 8689

(55, 1748i) 181=1 mod 8689

5*997 = 4985

56, 44u=56, v=45 → 69, 20

a=1111,b=5040,c=5161

alpha/2 = 11 / 101
= 2581 mod 8689

(2484, 3859i) 1086=1 mod 8689

13*397 = 5161

56, 46u=56, v=47 → 73, 4

a=927,b=5264,c=5345

alpha/2 = 9 / 103
= 5146 mod 8689

(40, 2450i) 1448=1 mod 8689

5*1069 = 5345

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

a=535,b=5712,c=5737

alpha/2 = 5 / 107
= 5116 mod 8689

(686, 779i) 4344=1 mod 8689

5737

56, 52u=56, v=53 → 77, 4

a=327,b=5936,c=5945

alpha/2 = 3 / 109
= 7015 mod 8689

(1238, 4258i) 1086=1 mod 8689

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
= 5323 mod 8689

(3797, 4183i) 4344=1 mod 8689

61*101 = 6161

57, 1u=57, v=2

a=3245,b=228,c=3253

alpha/2 = 55 / 59
= 2210 mod 8689

(1170, 1412i) 1448=1 mod 8689

3253

57, 3u=57, v=4 → 48, 31

a=3233,b=456,c=3265

alpha/2 = 53 / 61
= 7123 mod 8689

(423, 488i) 4344=1 mod 8689

5*653 = 3265

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

a=3185,b=912,c=3313

alpha/2 = 49 / 65
= 3209 mod 8689

(2250, 3518i) 362=1 mod 8689

3313

57, 9u=57, v=10 → 55, 18

a=3149,b=1140,c=3349

alpha/2 = 47 / 67
= 1946 mod 8689

(2050, 2995i) 1448=1 mod 8689

17*197 = 3349

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

a=3053,b=1596,c=3445

alpha/2 = 43 / 71
= 6242 mod 8689

(1320, 2267i) 724=1 mod 8689

5*13*53 = 3445

57, 15u=57, v=16 → 47, 36

a=2993,b=1824,c=3505

alpha/2 = 41 / 73
= 1905 mod 8689

(752, 1126i) 1086=1 mod 8689

5*701 = 3505

57, 1757, 1857, 19u=57, v=20 → 60, 7

a=2849,b=2280,c=3649

alpha/2 = 37 / 77
= 5417 mod 8689

(277, 2689i) 2172=1 mod 8689

41*89 = 3649

57, 21u=57, v=22

a=2765,b=2508,c=3733

alpha/2 = 35 / 79
= 3850 mod 8689

(1191, 2441i) 1086=1 mod 8689

3733

57, 2357, 2457, 25u=57, v=26 → 62, 9

a=2573,b=2964,c=3925

alpha/2 = 31 / 83
= 8480 mod 8689

(845, 2824i) 4344=1 mod 8689

5*5*157 = 3925

57, 27u=57, v=28 → 63, 8

a=2465,b=3192,c=4033

alpha/2 = 29 / 85
= 8076 mod 8689

(775, 2821i) 4344=1 mod 8689

37*109 = 4033

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

a=2225,b=3648,c=4273

alpha/2 = 25 / 89
= 5077 mod 8689

(3777, 4283i) 362=1 mod 8689

4273

57, 33u=57, v=34 → 66, 7

a=2093,b=3876,c=4405

alpha/2 = 23 / 91
= 7257 mod 8689

(3311, 4274i) 2172=1 mod 8689

5*881 = 4405

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

a=1649,b=4560,c=4849

alpha/2 = 17 / 97
= 3852 mod 8689

(1450, 1628i) 2172=1 mod 8689

13*373 = 4849

57, 4157, 4257, 43u=57, v=44 → 72, 1

a=1313,b=5016,c=5185

alpha/2 = 13 / 101
= 5420 mod 8689

(299, 994i) 2172=1 mod 8689

5*17*61 = 5185

57, 45u=57, v=46 → 73, 6

a=1133,b=5244,c=5365

alpha/2 = 11 / 103
= 7255 mod 8689

(218, 1242i) 1086=1 mod 8689

5*29*37 = 5365

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

a=749,b=5700,c=5749

alpha/2 = 7 / 107
= 1949 mod 8689

(1594, 2007i) 2172=1 mod 8689

5749

57, 51u=57, v=52

a=545,b=5928,c=5953

alpha/2 = 5 / 109
= 5899 mod 8689

(1446, 3255i) 2172=1 mod 8689

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
= 5075 mod 8689

(479, 1994i) 181=1 mod 8689

5*1277 = 6385

u=58, v=1 f(58,v)=3364+v2;→ → 47, 34

a=3363,b=116,c=3365

alpha/2 = 57 / 59
= 5450 mod 8689

(816, 3882i) 4344=1 mod 8689

5*673 = 3365

58, 2u=58, v=3

a=3355,b=348,c=3373

alpha/2 = 55 / 61
= 998 mod 8689

(1678, 2334i) 1086=1 mod 8689

3373

58, 4u=58, v=5

a=3339,b=580,c=3389

alpha/2 = 53 / 63
= 8414 mod 8689

(2000, 2868i) 4344=1 mod 8689

3389

58, 6u=58, v=7

a=3315,b=812,c=3413

alpha/2 = 51 / 65
= 2808 mod 8689

(2095, 2501i) 1086=1 mod 8689

3413

58, 8u=58, v=9 → 42, 41

a=3283,b=1044,c=3445

alpha/2 = 49 / 67
= 6096 mod 8689

(477, 3073i) 1086=1 mod 8689

5*13*53 = 3445

58, 10u=58, v=11 → 46, 37 → 59, 2

a=3243,b=1276,c=3485

alpha/2 = 47 / 69
= 4660 mod 8689

(234, 345i) 4344=1 mod 8689

5*17*41 = 3485

58, 12u=58, v=13

a=3195,b=1508,c=3533

alpha/2 = 45 / 71
= 2693 mod 8689

(1337, 3296i) 4344=1 mod 8689

3533

58, 14u=58, v=15 → 50, 33

a=3139,b=1740,c=3589

alpha/2 = 43 / 73
= 1786 mod 8689

(613, 1790i) 181=1 mod 8689

37*97 = 3589

58, 16u=58, v=17 → 47, 38

a=3075,b=1972,c=3653

alpha/2 = 41 / 75
= 3592 mod 8689

(2705, 3039i) 543=1 mod 8689

13*281 = 3653

58, 18u=58, v=19 → 61, 2

a=3003,b=2204,c=3725

alpha/2 = 39 / 77
= 6884 mod 8689

(2416, 2803i) 2172=1 mod 8689

5*5*149 = 3725

58, 20u=58, v=21 → 59, 18

a=2923,b=2436,c=3805

alpha/2 = 37 / 79
= 4070 mod 8689

(2040, 3885i) 362=1 mod 8689

5*761 = 3805

58, 22u=58, v=23 → 62, 7

a=2835,b=2668,c=3893

alpha/2 = 35 / 81
= 6544 mod 8689

(131, 802i) 1448=1 mod 8689

17*229 = 3893

58, 24u=58, v=25

a=2739,b=2900,c=3989

alpha/2 = 33 / 83
= 3141 mod 8689

(554, 3234i) 4344=1 mod 8689

3989

58, 26u=58, v=27

a=2635,b=3132,c=4093

alpha/2 = 31 / 85
= 6236 mod 8689

(736, 1905i) 543=1 mod 8689

4093

58, 2858, 2958, 30u=58, v=31 → 47, 46

a=2403,b=3596,c=4325

alpha/2 = 27 / 89
= 1660 mod 8689

(630, 1460i) 4344=1 mod 8689

5*5*173 = 4325

58, 32u=58, v=33 → 63, 22

a=2275,b=3828,c=4453

alpha/2 = 25 / 91
= 4488 mod 8689

(1983, 2167i) 2172=1 mod 8689

61*73 = 4453

58, 34u=58, v=35 → 67, 10

a=2139,b=4060,c=4589

alpha/2 = 23 / 93
= 2336 mod 8689

(552, 1164i) 1448=1 mod 8689

13*353 = 4589

58, 36u=58, v=37

a=1995,b=4292,c=4733

alpha/2 = 21 / 95
= 549 mod 8689

(1644, 1649i) 4344=1 mod 8689

4733

58, 38u=58, v=39 → 66, 23

a=1843,b=4524,c=4885

alpha/2 = 19 / 97
= 7883 mod 8689

(1355, 2685i) 1448=1 mod 8689

5*977 = 4885

58, 40u=58, v=41 → 71, 2

a=1683,b=4756,c=5045

alpha/2 = 17 / 99
= 5354 mod 8689

(2443, 2477i) 362=1 mod 8689

5*1009 = 5045

58, 42u=58, v=43 → 62, 37

a=1515,b=4988,c=5213

alpha/2 = 15 / 101
= 8259 mod 8689

(557, 3781i) 2172=1 mod 8689

13*401 = 5213

58, 44u=58, v=45 → 67, 30

a=1339,b=5220,c=5389

alpha/2 = 13 / 103
= 675 mod 8689

(1977, 3632i) 4344=1 mod 8689

17*317 = 5389

58, 46u=58, v=47

a=1155,b=5452,c=5573

alpha/2 = 11 / 105
= 5048 mod 8689

(298, 1106i) 4344=1 mod 8689

5573

58, 48u=58, v=49 → 74, 17

a=963,b=5684,c=5765

alpha/2 = 9 / 107
= 7471 mod 8689

(698, 1357i) 4344=1 mod 8689

5*1153 = 5765

58, 50u=58, v=51 → 77, 6

a=763,b=5916,c=5965

alpha/2 = 7 / 109
= 4783 mod 8689

(806, 1088i) 2172=1 mod 8689

5*1193 = 5965

58, 52u=58, v=53

a=555,b=6148,c=6173

alpha/2 = 5 / 111
= 548 mod 8689

(128, 633i) 4344=1 mod 8689

6173

58, 54u=58, v=55

a=339,b=6380,c=6389

alpha/2 = 3 / 113
= 6536 mod 8689

(305, 2837i) 2172=1 mod 8689

6389

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

a=115,b=6612,c=6613

alpha/2 = 1 / 115
= 8009 mod 8689

(1152, 2030i) 4344=1 mod 8689

17*389 = 6613

59, 1u=59, v=2 → 46, 37

a=3477,b=236,c=3485

alpha/2 = 57 / 61
= 3562 mod 8689

(1269, 1664i) 4344=1 mod 8689

5*17*41 = 3485

59, 3u=59, v=4 → 56, 19

a=3465,b=472,c=3497

alpha/2 = 55 / 63
= 1518 mod 8689

(790, 1380i) 1448=1 mod 8689

13*269 = 3497

59, 5u=59, v=6

a=3445,b=708,c=3517

alpha/2 = 53 / 65
= 2407 mod 8689

(3023, 3669i) 362=1 mod 8689

3517

59, 7u=59, v=8 → 52, 29

a=3417,b=944,c=3545

alpha/2 = 51 / 67
= 1557 mod 8689

(2580, 2743i) 724=1 mod 8689

5*709 = 3545

59, 9u=59, v=10

a=3381,b=1180,c=3581

alpha/2 = 49 / 69
= 8186 mod 8689

(2946, 3478i) 2172=1 mod 8689

3581

59, 11u=59, v=12 → 51, 32

a=3337,b=1416,c=3625

alpha/2 = 47 / 71
= 7833 mod 8689

(165, 1360i) 1448=1 mod 8689

5*5*5*29 = 3625

59, 13u=59, v=14

a=3285,b=1652,c=3677

alpha/2 = 45 / 73
= 1667 mod 8689

(777, 1069i) 4344=1 mod 8689

3677

59, 15u=59, v=16 → 61, 4

a=3225,b=1888,c=3737

alpha/2 = 43 / 75
= 4403 mod 8689

(1277, 3438i) 543=1 mod 8689

37*101 = 3737

59, 17u=59, v=18 → 58, 21

a=3157,b=2124,c=3805

alpha/2 = 41 / 77
= 8351 mod 8689

(2563, 2605i) 543=1 mod 8689

5*761 = 3805

59, 19u=59, v=20

a=3081,b=2360,c=3881

alpha/2 = 39 / 79
= 4290 mod 8689

(173, 794i) 4344=1 mod 8689

3881

59, 21u=59, v=22 → 46, 43 → 62, 11

a=2997,b=2596,c=3965

alpha/2 = 37 / 81
= 215 mod 8689

(2008, 2515i) 4344=1 mod 8689

5*13*61 = 3965

59, 23u=59, v=24

a=2905,b=2832,c=4057

alpha/2 = 35 / 83
= 6491 mod 8689

(539, 3017i) 724=1 mod 8689

4057

59, 25u=59, v=26

a=2805,b=3068,c=4157

alpha/2 = 33 / 85
= 4396 mod 8689

(1119, 3143i) 2172=1 mod 8689

4157

59, 27u=59, v=28 → 64, 13

a=2697,b=3304,c=4265

alpha/2 = 31 / 87
= 7391 mod 8689

(2199, 3081i) 4344=1 mod 8689

5*853 = 4265

59, 29u=59, v=30 → 66, 5

a=2581,b=3540,c=4381

alpha/2 = 29 / 89
= 6932 mod 8689

(3024, 4188i) 1086=1 mod 8689

13*337 = 4381

59, 31u=59, v=32 → 56, 37 → 67, 4

a=2457,b=3776,c=4505

alpha/2 = 27 / 91
= 1719 mod 8689

(3739, 4238i) 1448=1 mod 8689

5*17*53 = 4505

59, 33u=59, v=34

a=2325,b=4012,c=4637

alpha/2 = 25 / 93
= 1028 mod 8689

(2220, 3046i) 1448=1 mod 8689

4637

59, 35u=59, v=36 → 69, 4

a=2185,b=4248,c=4777

alpha/2 = 23 / 95
= 8049 mod 8689

(2667, 3837i) 4344=1 mod 8689

17*281 = 4777

59, 37u=59, v=38 → 53, 46

a=2037,b=4484,c=4925

alpha/2 = 21 / 97
= 3225 mod 8689

(3166, 4000i) 1448=1 mod 8689

5*5*197 = 4925

59, 39u=59, v=40

a=1881,b=4720,c=5081

alpha/2 = 19 / 99
= 6495 mod 8689

(2834, 3527i) 724=1 mod 8689

5081

59, 41u=59, v=42 → 69, 22

a=1717,b=4956,c=5245

alpha/2 = 17 / 101
= 2409 mod 8689

(1273, 2969i) 1448=1 mod 8689

5*1049 = 5245

59, 43u=59, v=44

a=1545,b=5192,c=5417

alpha/2 = 15 / 103
= 2784 mod 8689

(2186, 3525i) 2172=1 mod 8689

5417

59, 45u=59, v=46 → 74, 11

a=1365,b=5428,c=5597

alpha/2 = 13 / 105
= 4386 mod 8689

(155, 2089i) 8=1 mod 8689

29*193 = 5597

59, 47u=59, v=48 → 76, 3

a=1177,b=5664,c=5785

alpha/2 = 11 / 107
= 4304 mod 8689

(361, 2798i) 2172=1 mod 8689

5*13*89 = 5785

59, 49u=59, v=50

a=981,b=5900,c=5981

alpha/2 = 9 / 109
= 3667 mod 8689

(1871, 3352i) 4344=1 mod 8689

5981

59, 51u=59, v=52 → 77, 16

a=777,b=6136,c=6185

alpha/2 = 7 / 111
= 2505 mod 8689

(2140, 2918i) 543=1 mod 8689

5*1237 = 6185

59, 53u=59, v=54

a=565,b=6372,c=6397

alpha/2 = 5 / 113
= 7997 mod 8689

(1271, 2635i) 4344=1 mod 8689

6397

59, 55u=59, v=56 → 76, 29

a=345,b=6608,c=6617

alpha/2 = 3 / 115
= 6649 mod 8689

(1171, 1405i) 4344=1 mod 8689

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
= 6164 mod 8689

(901, 1032i) 543=1 mod 8689

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
= 6126 mod 8689

(2828, 4101i) 4344=1 mod 8689

13*277 = 3601

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

a=3551,b=840,c=3649

alpha/2 = 53 / 67
= 5707 mod 8689

(1448, 2485i) 543=1 mod 8689

41*89 = 3649

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

a=3479,b=1320,c=3721

alpha/2 = 49 / 71
= 4284 mod 8689

(462, 2521i) 543=1 mod 8689

61*61 = 3721

60, 12u=60, v=13

a=3431,b=1560,c=3769

alpha/2 = 47 / 73
= 1548 mod 8689

(3815, 4241i) 4344=1 mod 8689

3769

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

a=3311,b=2040,c=3889

alpha/2 = 43 / 77
= 1129 mod 8689

(1521, 4342i) 1086=1 mod 8689

3889

60, 18u=60, v=19 → 45, 44

a=3239,b=2280,c=3961

alpha/2 = 41 / 79
= 4510 mod 8689

(1456, 1855i) 4344=1 mod 8689

17*233 = 3961

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

a=3071,b=2760,c=4129

alpha/2 = 37 / 83
= 1152 mod 8689

(1600, 2284i) 724=1 mod 8689

4129

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

a=2759,b=3480,c=4441

alpha/2 = 31 / 89
= 3515 mod 8689

(99, 3090i) 724=1 mod 8689

4441

60, 30u=60, v=31

a=2639,b=3720,c=4561

alpha/2 = 29 / 91
= 7639 mod 8689

(1161, 3640i) 4344=1 mod 8689

4561

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

a=2231,b=4440,c=4969

alpha/2 = 23 / 97
= 7256 mod 8689

(3082, 3927i) 543=1 mod 8689

4969

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

a=1919,b=4920,c=5281

alpha/2 = 19 / 101
= 5248 mod 8689

(2755, 3185i) 2172=1 mod 8689

5281

60, 42u=60, v=43

a=1751,b=5160,c=5449

alpha/2 = 17 / 103
= 4893 mod 8689

(3865, 4182i) 2172=1 mod 8689

5449

60, 4460, 4560, 46u=60, v=47 → 72, 25

a=1391,b=5640,c=5809

alpha/2 = 13 / 107
= 1137 mod 8689

(364, 4341i) 362=1 mod 8689

37*157 = 5809

60, 48u=60, v=49 → 76, 15

a=1199,b=5880,c=6001

alpha/2 = 11 / 109
= 2551 mod 8689

(314, 1627i) 2172=1 mod 8689

17*353 = 6001

60, 5060, 5160, 52u=60, v=53 → 80, 3

a=791,b=6360,c=6409

alpha/2 = 7 / 113
= 769 mod 8689

(3204, 4120i) 543=1 mod 8689

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
= 4308 mod 8689

(3107, 3895i) 24=1 mod 8689

73*97 = 7081

61, 1u=61, v=2 → 58, 19

a=3717,b=244,c=3725

alpha/2 = 59 / 63
= 5104 mod 8689

(6, 4131i) 724=1 mod 8689

5*5*149 = 3725

61, 3u=61, v=4 → 59, 16

a=3705,b=488,c=3737

alpha/2 = 57 / 65
= 1605 mod 8689

(757, 1474i) 2172=1 mod 8689

37*101 = 3737

61, 5u=61, v=6 → 54, 29

a=3685,b=732,c=3757

alpha/2 = 55 / 67
= 1168 mod 8689

(1670, 3297i) 1448=1 mod 8689

13*17*17 = 3757

61, 7u=61, v=8 → 44, 43

a=3657,b=976,c=3785

alpha/2 = 53 / 69
= 6549 mod 8689

(1544, 2339i) 4344=1 mod 8689

5*757 = 3785

61, 9u=61, v=10

a=3621,b=1220,c=3821

alpha/2 = 51 / 71
= 735 mod 8689

(243, 4090i) 362=1 mod 8689

3821

61, 11u=61, v=12 → 56, 27

a=3577,b=1464,c=3865

alpha/2 = 49 / 73
= 1429 mod 8689

(388, 1643i) 1448=1 mod 8689

5*773 = 3865

61, 13u=61, v=14

a=3525,b=1708,c=3917

alpha/2 = 47 / 75
= 6025 mod 8689

(618, 4130i) 362=1 mod 8689

3917

61, 15u=61, v=16 → 56, 29

a=3465,b=1952,c=3977

alpha/2 = 45 / 77
= 2596 mod 8689

(2492, 4072i) 1086=1 mod 8689

41*97 = 3977

61, 17u=61, v=18 → 51, 38

a=3397,b=2196,c=4045

alpha/2 = 43 / 79
= 4730 mod 8689

(403, 3300i) 4344=1 mod 8689

5*809 = 4045

61, 19u=61, v=20 → 64, 5

a=3321,b=2440,c=4121

alpha/2 = 41 / 81
= 4935 mod 8689

(2069, 2814i) 724=1 mod 8689

13*317 = 4121

61, 21u=61, v=22 → 62, 19

a=3237,b=2684,c=4205

alpha/2 = 39 / 83
= 4502 mod 8689

(2791, 3714i) 1086=1 mod 8689

5*29*29 = 4205

61, 23u=61, v=24

a=3145,b=2928,c=4297

alpha/2 = 37 / 85
= 716 mod 8689

(2897, 3135i) 2172=1 mod 8689

4297

61, 25u=61, v=26

a=3045,b=3172,c=4397

alpha/2 = 35 / 87
= 1898 mod 8689

(58, 2874i) 2172=1 mod 8689

4397

61, 27u=61, v=28 → 56, 37 → 67, 4

a=2937,b=3416,c=4505

alpha/2 = 33 / 89
= 98 mod 8689

(1480, 2674i) 4344=1 mod 8689

5*17*53 = 4505

61, 29u=61, v=30

a=2821,b=3660,c=4621

alpha/2 = 31 / 91
= 4870 mod 8689

(411, 1770i) 4344=1 mod 8689

4621

61, 31u=61, v=32 → 53, 44 → 68, 11

a=2697,b=3904,c=4745

alpha/2 = 29 / 93
= 7101 mod 8689

(704, 1341i) 4344=1 mod 8689

5*13*73 = 4745

61, 33u=61, v=34

a=2565,b=4148,c=4877

alpha/2 = 27 / 95
= 5671 mod 8689

(1351, 2178i) 181=1 mod 8689

4877

61, 35u=61, v=36 → 69, 16

a=2425,b=4392,c=5017

alpha/2 = 25 / 97
= 2598 mod 8689

(3065, 3747i) 362=1 mod 8689

29*173 = 5017

61, 37u=61, v=38 → 67, 26

a=2277,b=4636,c=5165

alpha/2 = 23 / 99
= 88 mod 8689

(442, 4141i) 724=1 mod 8689

5*1033 = 5165

61, 39u=61, v=40 → 64, 35

a=2121,b=4880,c=5321

alpha/2 = 21 / 101
= 8087 mod 8689

(1402, 1773i) 1086=1 mod 8689

17*313 = 5321

61, 41u=61, v=42 → 74, 3

a=1957,b=5124,c=5485

alpha/2 = 19 / 103
= 7002 mod 8689

(2341, 4229i) 4344=1 mod 8689

5*1097 = 5485

61, 43u=61, v=44

a=1785,b=5368,c=5657

alpha/2 = 17 / 105
= 3062 mod 8689

(2084, 3483i) 181=1 mod 8689

5657

61, 45u=61, v=46 → 74, 19

a=1605,b=5612,c=5837

alpha/2 = 15 / 107
= 6659 mod 8689

(1964, 3361i) 543=1 mod 8689

13*449 = 5837

61, 47u=61, v=48 → 72, 29

a=1417,b=5856,c=6025

alpha/2 = 13 / 109
= 1435 mod 8689

(3285, 4151i) 4344=1 mod 8689

5*5*241 = 6025

61, 49u=61, v=50

a=1221,b=6100,c=6221

alpha/2 = 11 / 111
= 6419 mod 8689

(589, 1194i) 1086=1 mod 8689

6221

61, 51u=61, v=52 → 67, 44

a=1017,b=6344,c=6425

alpha/2 = 9 / 113
= 2230 mod 8689

(1078, 2914i) 2172=1 mod 8689

5*5*257 = 6425

61, 53u=61, v=54

a=805,b=6588,c=6637

alpha/2 = 7 / 115
= 3929 mod 8689

(3198, 4112i) 362=1 mod 8689

6637

61, 55u=61, v=56

a=585,b=6832,c=6857

alpha/2 = 5 / 117
= 4753 mod 8689

(1514, 2386i) 1448=1 mod 8689

6857

61, 57u=61, v=58 → 83, 14

a=357,b=7076,c=7085

alpha/2 = 3 / 119
= 4235 mod 8689

(1014, 2530i) 1448=1 mod 8689

5*13*109 = 7085

61, 59u=61, v=60 f(u,60)=u2+3600;↓

a=121,b=7320,c=7321

alpha/2 = 1 / 121
= 7181 mod 8689

(1823, 3359i) 543=1 mod 8689

7321

u=62, v=1 f(62,v)=3844+v2;→ → 49, 38

a=3843,b=124,c=3845

alpha/2 = 61 / 63
= 6897 mod 8689

(1495, 2827i) 1448=1 mod 8689

5*769 = 3845

62, 2u=62, v=3

a=3835,b=372,c=3853

alpha/2 = 59 / 65
= 1204 mod 8689

(443, 3342i) 4344=1 mod 8689

3853

62, 4u=62, v=5 → 50, 37

a=3819,b=620,c=3869

alpha/2 = 57 / 67
= 5318 mod 8689

(2091, 3336i) 1448=1 mod 8689

53*73 = 3869

62, 6u=62, v=7 → 58, 23

a=3795,b=868,c=3893

alpha/2 = 55 / 69
= 1386 mod 8689

(338, 739i) 4344=1 mod 8689

17*229 = 3893

62, 8u=62, v=9 → 57, 26

a=3763,b=1116,c=3925

alpha/2 = 53 / 71
= 5875 mod 8689

(1204, 3468i) 1448=1 mod 8689

5*5*157 = 3925

62, 10u=62, v=11 → 46, 43

a=3723,b=1364,c=3965

alpha/2 = 51 / 73
= 1310 mod 8689

(628, 2774i) 4344=1 mod 8689

5*13*61 = 3965

62, 12u=62, v=13

a=3675,b=1612,c=4013

alpha/2 = 49 / 75
= 6836 mod 8689

(847, 1365i) 1448=1 mod 8689

4013

62, 14u=62, v=15 → 63, 10

a=3619,b=1860,c=4069

alpha/2 = 47 / 77
= 4063 mod 8689

(1016, 3330i) 4344=1 mod 8689

13*313 = 4069

62, 16u=62, v=17

a=3555,b=2108,c=4133

alpha/2 = 45 / 79
= 4950 mod 8689

(3502, 4084i) 4344=1 mod 8689

4133

62, 18u=62, v=19 → 61, 22

a=3483,b=2356,c=4205

alpha/2 = 43 / 81
= 7295 mod 8689

(1914, 1987i) 543=1 mod 8689

5*29*29 = 4205

62, 20u=62, v=21 → 54, 37

a=3403,b=2604,c=4285

alpha/2 = 41 / 83
= 7852 mod 8689

(1066, 3562i) 1086=1 mod 8689

5*857 = 4285

62, 22u=62, v=23

a=3315,b=2852,c=4373

alpha/2 = 39 / 85
= 7565 mod 8689

(341, 967i) 543=1 mod 8689

4373

62, 24u=62, v=25 → 55, 38

a=3219,b=3100,c=4469

alpha/2 = 37 / 87
= 3496 mod 8689

(2348, 2696i) 1448=1 mod 8689

41*109 = 4469

62, 26u=62, v=27 → 53, 42

a=3115,b=3348,c=4573

alpha/2 = 35 / 89
= 5370 mod 8689

(546, 3826i) 2172=1 mod 8689

17*269 = 4573

62, 28u=62, v=29 → 67, 14

a=3003,b=3596,c=4685

alpha/2 = 33 / 91
= 2101 mod 8689

(2173, 3749i) 2172=1 mod 8689

5*937 = 4685

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

a=2755,b=4092,c=4933

alpha/2 = 29 / 95
= 4482 mod 8689

(1459, 3580i) 543=1 mod 8689

4933

62, 34u=62, v=35 → 70, 13

a=2619,b=4340,c=5069

alpha/2 = 27 / 97
= 6629 mod 8689

(1727, 2810i) 2172=1 mod 8689

37*137 = 5069

62, 36u=62, v=37 → 58, 43

a=2475,b=4588,c=5213

alpha/2 = 25 / 99
= 1229 mod 8689

(1843, 2781i) 362=1 mod 8689

13*401 = 5213

62, 38u=62, v=39 → 57, 46 → 73, 6

a=2323,b=4836,c=5365

alpha/2 = 23 / 101
= 2237 mod 8689

(3104, 3374i) 724=1 mod 8689

5*29*37 = 5365

62, 40u=62, v=41 → 74, 7

a=2163,b=5084,c=5525

alpha/2 = 21 / 103
= 422 mod 8689

(441, 3211i) 4344=1 mod 8689

5*5*13*17 = 5525

62, 42u=62, v=43

a=1995,b=5332,c=5693

alpha/2 = 19 / 105
= 2400 mod 8689

(3192, 3391i) 1448=1 mod 8689

5693

62, 44u=62, v=45

a=1819,b=5580,c=5869

alpha/2 = 17 / 107
= 3492 mod 8689

(90, 1477i) 4344=1 mod 8689

5869

62, 46u=62, v=47

a=1635,b=5828,c=6053

alpha/2 = 15 / 109
= 319 mod 8689

(2198, 2648i) 4344=1 mod 8689

6053

62, 48u=62, v=49 → 79, 2

a=1443,b=6076,c=6245

alpha/2 = 13 / 111
= 8376 mod 8689

(1709, 4114i) 181=1 mod 8689

5*1249 = 6245

62, 50u=62, v=51 → 78, 19

a=1243,b=6324,c=6445

alpha/2 = 11 / 113
= 3691 mod 8689

(1577, 2768i) 4344=1 mod 8689

5*1289 = 6445

62, 52u=62, v=53

a=1035,b=6572,c=6653

alpha/2 = 9 / 115
= 2569 mod 8689

(1507, 3810i) 724=1 mod 8689

6653

62, 54u=62, v=55

a=819,b=6820,c=6869

alpha/2 = 7 / 117
= 8392 mod 8689

(434, 1436i) 1448=1 mod 8689

6869

62, 56u=62, v=57 → 73, 42

a=595,b=7068,c=7093

alpha/2 = 5 / 119
= 4162 mod 8689

(1867, 2487i) 724=1 mod 8689

41*173 = 7093

62, 58u=62, v=59 → 74, 43

a=363,b=7316,c=7325

alpha/2 = 3 / 121
= 4165 mod 8689

(3153, 3165i) 1448=1 mod 8689

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
= 989 mod 8689

(890, 3610i) 4344=1 mod 8689

5*17*89 = 7565

63, 1u=63, v=2 → 47, 42

a=3965,b=252,c=3973

alpha/2 = 61 / 65
= 803 mod 8689

(1954, 3648i) 2172=1 mod 8689

29*137 = 3973

63, 3u=63, v=4 → 48, 41

a=3953,b=504,c=3985

alpha/2 = 59 / 67
= 779 mod 8689

(2718, 2793i) 181=1 mod 8689

5*797 = 3985

63, 563, 663, 7u=63, v=8 → 57, 28

a=3905,b=1008,c=4033

alpha/2 = 55 / 71
= 2326 mod 8689

(417, 3225i) 4344=1 mod 8689

37*109 = 4033

63, 9u=63, v=10 → 62, 15

a=3869,b=1260,c=4069

alpha/2 = 53 / 73
= 1191 mod 8689

(2370, 2446i) 4344=1 mod 8689

13*313 = 4069

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

a=3713,b=2016,c=4225

alpha/2 = 47 / 79
= 5170 mod 8689

(1401, 1714i) 2172=1 mod 8689

5*5*13*13 = 4225

63, 1763, 1863, 19u=63, v=20 → 65, 12

a=3569,b=2520,c=4369

alpha/2 = 43 / 83
= 2513 mod 8689

(323, 3621i) 1086=1 mod 8689

17*257 = 4369

63, 21u=63, v=22 → 58, 33

a=3485,b=2772,c=4453

alpha/2 = 41 / 85
= 5725 mod 8689

(1049, 1427i) 2172=1 mod 8689

61*73 = 4453

63, 2363, 2463, 25u=63, v=26 → 66, 17

a=3293,b=3276,c=4645

alpha/2 = 37 / 89
= 1953 mod 8689

(2382, 3430i) 4344=1 mod 8689

5*929 = 4645

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

a=2945,b=4032,c=4993

alpha/2 = 31 / 95
= 3293 mod 8689

(791, 3459i) 4344=1 mod 8689

4993

63, 33u=63, v=34 → 54, 47

a=2813,b=4284,c=5125

alpha/2 = 29 / 97
= 1971 mod 8689

(1978, 2722i) 1448=1 mod 8689

5*5*5*41 = 5125

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

a=2525,b=4788,c=5413

alpha/2 = 25 / 101
= 5076 mod 8689

(1006, 2675i) 1448=1 mod 8689

5413

63, 39u=63, v=40

a=2369,b=5040,c=5569

alpha/2 = 23 / 103
= 2531 mod 8689

(670, 1116i) 1448=1 mod 8689

5569

63, 4163, 4263, 43u=63, v=44 → 73, 24

a=2033,b=5544,c=5905

alpha/2 = 19 / 107
= 325 mod 8689

(1101, 1575i) 4344=1 mod 8689

5*1181 = 5905

63, 45u=63, v=46 → 78, 1

a=1853,b=5796,c=6085

alpha/2 = 17 / 109
= 7892 mod 8689

(2939, 3646i) 181=1 mod 8689

5*1217 = 6085

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

a=1469,b=6300,c=6469

alpha/2 = 13 / 113
= 5152 mod 8689

(232, 1334i) 4344=1 mod 8689

6469

63, 51u=63, v=52

a=1265,b=6552,c=6673

alpha/2 = 11 / 115
= 1209 mod 8689

(548, 2169i) 2172=1 mod 8689

6673

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

a=605,b=7308,c=7333

alpha/2 = 5 / 121
= 1149 mod 8689

(1185, 2609i) 4344=1 mod 8689

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
= 2850 mod 8689

(366, 2430i) 1086=1 mod 8689

13*601 = 7813

u=64, v=1 f(64,v)=4096+v2;→ → 56, 31

a=4095,b=128,c=4097

alpha/2 = 63 / 65
= 402 mod 8689

(333, 3933i) 4344=1 mod 8689

17*241 = 4097

64, 2u=64, v=3 → 53, 36

a=4087,b=384,c=4105

alpha/2 = 61 / 67
= 4929 mod 8689

(2196, 2411i) 4344=1 mod 8689

5*821 = 4105

64, 4u=64, v=5 → 61, 20

a=4071,b=640,c=4121

alpha/2 = 59 / 69
= 8438 mod 8689

(718, 2252i) 543=1 mod 8689

13*317 = 4121

64, 6u=64, v=7 → 47, 44

a=4047,b=896,c=4145

alpha/2 = 57 / 71
= 7466 mod 8689

(1221, 1224i) 2172=1 mod 8689

5*829 = 4145

64, 8u=64, v=9

a=4015,b=1152,c=4177

alpha/2 = 55 / 73
= 1072 mod 8689

(370, 4126i) 1448=1 mod 8689

4177

64, 10u=64, v=11

a=3975,b=1408,c=4217

alpha/2 = 53 / 75
= 8458 mod 8689

(466, 3609i) 724=1 mod 8689

4217

64, 12u=64, v=13 → 59, 28

a=3927,b=1664,c=4265

alpha/2 = 51 / 77
= 6997 mod 8689

(786, 1197i) 1448=1 mod 8689

5*853 = 4265

64, 14u=64, v=15 → 55, 36

a=3871,b=1920,c=4321

alpha/2 = 49 / 79
= 5390 mod 8689

(1684, 3246i) 4344=1 mod 8689

29*149 = 4321

64, 16u=64, v=17 → 52, 41

a=3807,b=2176,c=4385

alpha/2 = 47 / 81
= 3326 mod 8689

(94, 161i) 362=1 mod 8689

5*877 = 4385

64, 18u=64, v=19

a=3735,b=2432,c=4457

alpha/2 = 45 / 83
= 5863 mod 8689

(17, 1771i) 1086=1 mod 8689

4457

64, 20u=64, v=21 → 51, 44

a=3655,b=2688,c=4537

alpha/2 = 43 / 85
= 3885 mod 8689

(302, 3630i) 4344=1 mod 8689

13*349 = 4537

64, 22u=64, v=23 → 68, 1

a=3567,b=2944,c=4625

alpha/2 = 41 / 87
= 6692 mod 8689

(1639, 2669i) 4344=1 mod 8689

5*5*5*37 = 4625

64, 24u=64, v=25

a=3471,b=3200,c=4721

alpha/2 = 39 / 89
= 7225 mod 8689

(3084, 3921i) 724=1 mod 8689

4721

64, 26u=64, v=27 → 69, 8

a=3367,b=3456,c=4825

alpha/2 = 37 / 91
= 5252 mod 8689

(1526, 3293i) 1086=1 mod 8689

5*5*193 = 4825

64, 28u=64, v=29

a=3255,b=3712,c=4937

alpha/2 = 35 / 93
= 3177 mod 8689

(3484, 4295i) 4344=1 mod 8689

4937

64, 30u=64, v=31 → 71, 4

a=3135,b=3968,c=5057

alpha/2 = 33 / 95
= 2104 mod 8689

(2908, 3480i) 2172=1 mod 8689

13*389 = 5057

64, 32u=64, v=33 → 57, 44 → 72, 1

a=3007,b=4224,c=5185

alpha/2 = 31 / 97
= 6002 mod 8689

(3453, 4328i) 2172=1 mod 8689

5*17*61 = 5185

64, 34u=64, v=35 → 61, 40

a=2871,b=4480,c=5321

alpha/2 = 29 / 99
= 3511 mod 8689

(992, 3801i) 543=1 mod 8689

17*313 = 5321

64, 36u=64, v=37 → 68, 29

a=2727,b=4736,c=5465

alpha/2 = 27 / 101
= 7915 mod 8689

(521, 3559i) 1448=1 mod 8689

5*1093 = 5465

64, 38u=64, v=39 → 71, 24

a=2575,b=4992,c=5617

alpha/2 = 25 / 103
= 4640 mod 8689

(2900, 3260i) 2172=1 mod 8689

41*137 = 5617

64, 40u=64, v=41 → 76, 1

a=2415,b=5248,c=5777

alpha/2 = 23 / 105
= 1076 mod 8689

(1144, 1818i) 1448=1 mod 8689

53*109 = 5777

64, 42u=64, v=43 → 56, 53 → 77, 4

a=2247,b=5504,c=5945

alpha/2 = 21 / 107
= 5847 mod 8689

(154, 376i) 2172=1 mod 8689

5*29*41 = 5945

64, 44u=64, v=45

a=2071,b=5760,c=6121

alpha/2 = 19 / 109
= 6776 mod 8689

(1114, 2276i) 4344=1 mod 8689

6121

64, 46u=64, v=47 → 79, 8

a=1887,b=6016,c=6305

alpha/2 = 17 / 111
= 3601 mod 8689

(464, 2512i) 1086=1 mod 8689

5*13*97 = 6305

64, 48u=64, v=49 → 79, 16

a=1695,b=6272,c=6497

alpha/2 = 15 / 113
= 6613 mod 8689

(1454, 3422i) 4344=1 mod 8689

73*89 = 6497

64, 50u=64, v=51 → 69, 44

a=1495,b=6528,c=6697

alpha/2 = 13 / 115
= 8538 mod 8689

(3772, 4053i) 1448=1 mod 8689

37*181 = 6697

64, 52u=64, v=53 → 83, 4

a=1287,b=6784,c=6905

alpha/2 = 11 / 117
= 6981 mod 8689

(3696, 4134i) 4344=1 mod 8689

5*1381 = 6905

64, 54u=64, v=55

a=1071,b=7040,c=7121

alpha/2 = 9 / 119
= 4016 mod 8689

(2831, 4083i) 181=1 mod 8689

7121

64, 56u=64, v=57 → 84, 17

a=847,b=7296,c=7345

alpha/2 = 7 / 121
= 6822 mod 8689

(2488, 3303i) 543=1 mod 8689

5*13*113 = 7345

64, 58u=64, v=59

a=615,b=7552,c=7577

alpha/2 = 5 / 123
= 4945 mod 8689

(1681, 2117i) 543=1 mod 8689

7577

64, 60u=64, v=61

a=375,b=7808,c=7817

alpha/2 = 3 / 125
= 8550 mod 8689

(2083, 2799i) 181=1 mod 8689

7817

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

a=127,b=8064,c=8065

alpha/2 = 1 / 127
= 7868 mod 8689

(3105, 3329i) 4344=1 mod 8689

5*1613 = 8065

65, 1u=65, v=2

a=4221,b=260,c=4229

alpha/2 = 63 / 67
= 390 mod 8689

(3195, 3913i) 4344=1 mod 8689

4229

65, 3u=65, v=4

a=4209,b=520,c=4241

alpha/2 = 61 / 69
= 3275 mod 8689

(47, 2937i) 543=1 mod 8689

4241

65, 5u=65, v=6

a=4189,b=780,c=4261

alpha/2 = 59 / 71
= 3917 mod 8689

(1154, 1979i) 4344=1 mod 8689

4261

65, 7u=65, v=8

a=4161,b=1040,c=4289

alpha/2 = 57 / 73
= 953 mod 8689

(1484, 2054i) 1448=1 mod 8689

4289

65, 965, 1065, 11u=65, v=12 → 63, 20

a=4081,b=1560,c=4369

alpha/2 = 53 / 77
= 8464 mod 8689

(241, 2316i) 1086=1 mod 8689

17*257 = 4369

65, 13u=65, v=14

a=4029,b=1820,c=4421

alpha/2 = 51 / 79
= 5610 mod 8689

(33, 2949i) 181=1 mod 8689

4421

65, 15u=65, v=16

a=3969,b=2080,c=4481

alpha/2 = 49 / 81
= 5686 mod 8689

(429, 3371i) 4344=1 mod 8689

4481

65, 17u=65, v=18

a=3901,b=2340,c=4549

alpha/2 = 47 / 83
= 524 mod 8689

(755, 3550i) 724=1 mod 8689

4549

65, 1965, 2065, 21u=65, v=22 → 50, 47

a=3741,b=2860,c=4709

alpha/2 = 43 / 87
= 8290 mod 8689

(3667, 3780i) 1086=1 mod 8689

17*277 = 4709

65, 23u=65, v=24

a=3649,b=3120,c=4801

alpha/2 = 41 / 89
= 3808 mod 8689

(1501, 2254i) 181=1 mod 8689

4801

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

a=3441,b=3640,c=5009

alpha/2 = 37 / 93
= 1869 mod 8689

(851, 1437i) 1086=1 mod 8689

5009

65, 2965, 3065, 31u=65, v=32 → 68, 25

a=3201,b=4160,c=5249

alpha/2 = 33 / 97
= 1344 mod 8689

(605, 2302i) 4344=1 mod 8689

29*181 = 5249

65, 33u=65, v=34

a=3069,b=4420,c=5381

alpha/2 = 31 / 99
= 4652 mod 8689

(1840, 3637i) 4344=1 mod 8689

5381

65, 35u=65, v=36

a=2929,b=4680,c=5521

alpha/2 = 29 / 101
= 2065 mod 8689

(196, 1578i) 4344=1 mod 8689

5521

65, 37u=65, v=38

a=2781,b=4940,c=5669

alpha/2 = 27 / 103
= 6749 mod 8689

(608, 2185i) 4344=1 mod 8689

5669

65, 3965, 4065, 41u=65, v=42 → 70, 33

a=2461,b=5460,c=5989

alpha/2 = 23 / 107
= 2680 mod 8689

(2126, 3705i) 543=1 mod 8689

53*113 = 5989

65, 43u=65, v=44 → 56, 55

a=2289,b=5720,c=6161

alpha/2 = 21 / 109
= 5660 mod 8689

(2060, 4067i) 4344=1 mod 8689

61*101 = 6161

65, 45u=65, v=46 → 79, 10

a=2109,b=5980,c=6341

alpha/2 = 19 / 111
= 5558 mod 8689

(12, 2815i) 4344=1 mod 8689

17*373 = 6341

65, 47u=65, v=48

a=1921,b=6240,c=6529

alpha/2 = 17 / 113
= 8074 mod 8689

(1928, 4058i) 2172=1 mod 8689

6529

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

a=1309,b=7020,c=7141

alpha/2 = 11 / 119
= 3943 mod 8689

(2218, 4248i) 4344=1 mod 8689

37*193 = 7141

65, 55u=65, v=56 → 80, 31

a=1089,b=7280,c=7361

alpha/2 = 9 / 121
= 3806 mod 8689

(2507, 3763i) 4344=1 mod 8689

17*433 = 7361

65, 57u=65, v=58

a=861,b=7540,c=7589

alpha/2 = 7 / 123
= 6923 mod 8689

(1257, 2756i) 4344=1 mod 8689

7589

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

a=381,b=8060,c=8069

alpha/2 = 3 / 127
= 6226 mod 8689

(13, 3489i) 2172=1 mod 8689

8069

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

a=129,b=8320,c=8321

alpha/2 = 1 / 129
= 943 mod 8689

(2999, 4133i) 543=1 mod 8689

53*157 = 8321

u=66, v=1 f(66,v)=4356+v2;→

a=4355,b=132,c=4357

alpha/2 = 65 / 67
= 4540 mod 8689

(337, 3824i) 1086=1 mod 8689

4357

66, 266, 366, 4u=66, v=5 → 59, 30

a=4331,b=660,c=4381

alpha/2 = 61 / 71
= 368 mod 8689

(339, 2738i) 2172=1 mod 8689

13*337 = 4381

66, 6u=66, v=7 → 57, 34

a=4307,b=924,c=4405

alpha/2 = 59 / 73
= 834 mod 8689

(143, 2385i) 724=1 mod 8689

5*881 = 4405

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

a=4187,b=1716,c=4525

alpha/2 = 53 / 79
= 5830 mod 8689

(876, 3778i) 543=1 mod 8689

5*5*181 = 4525

66, 1466, 1566, 16u=66, v=17 → 63, 26

a=4067,b=2244,c=4645

alpha/2 = 49 / 83
= 3874 mod 8689

(2240, 2552i) 4344=1 mod 8689

5*929 = 4645

66, 18u=66, v=19 → 51, 46

a=3995,b=2508,c=4717

alpha/2 = 47 / 85
= 205 mod 8689

(1972, 4122i) 1086=1 mod 8689

53*89 = 4717

66, 2066, 2166, 22u=66, v=23 → 58, 39

a=3827,b=3036,c=4885

alpha/2 = 43 / 89
= 391 mod 8689

(549, 2957i) 4344=1 mod 8689

5*977 = 4885

66, 24u=66, v=25 → 70, 9

a=3731,b=3300,c=4981

alpha/2 = 41 / 91
= 8403 mod 8689

(3209, 3261i) 1448=1 mod 8689

17*293 = 4981

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

a=3515,b=3828,c=5197

alpha/2 = 37 / 95
= 8415 mod 8689

(1168, 1462i) 1448=1 mod 8689

5197

66, 30u=66, v=31 → 54, 49

a=3395,b=4092,c=5317

alpha/2 = 35 / 97
= 5375 mod 8689

(1024, 3864i) 1448=1 mod 8689

13*409 = 5317

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

a=3131,b=4620,c=5581

alpha/2 = 31 / 101
= 4904 mod 8689

(706, 902i) 4344=1 mod 8689

5581

66, 36u=66, v=37 → 54, 53

a=2987,b=4884,c=5725

alpha/2 = 29 / 103
= 169 mod 8689

(2496, 3768i) 4344=1 mod 8689

5*5*229 = 5725

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

a=2675,b=5412,c=6037

alpha/2 = 25 / 107
= 8202 mod 8689

(900, 3851i) 1448=1 mod 8689

6037

66, 42u=66, v=43 → 78, 11

a=2507,b=5676,c=6205

alpha/2 = 23 / 109
= 4544 mod 8689

(886, 2978i) 362=1 mod 8689

5*17*73 = 6205

66, 4466, 4566, 46u=66, v=47 → 81, 2

a=2147,b=6204,c=6565

alpha/2 = 19 / 113
= 846 mod 8689

(1036, 1132i) 724=1 mod 8689

5*13*101 = 6565

66, 48u=66, v=49 → 81, 14

a=1955,b=6468,c=6757

alpha/2 = 17 / 115
= 5818 mod 8689

(1130, 2585i) 2172=1 mod 8689

29*233 = 6757

66, 5066, 5166, 52u=66, v=53 → 82, 21

a=1547,b=6996,c=7165

alpha/2 = 13 / 119
= 3870 mod 8689

(748, 3496i) 4344=1 mod 8689

5*1433 = 7165

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

a=875,b=7788,c=7837

alpha/2 = 7 / 125
= 2572 mod 8689

(358, 2314i) 362=1 mod 8689

17*461 = 7837

66, 60u=66, v=61 → 74, 51

a=635,b=8052,c=8077

alpha/2 = 5 / 127
= 4584 mod 8689

(1007, 2228i) 1086=1 mod 8689

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
= 4444 mod 8689

(886, 2978i) 362=1 mod 8689

8581

67, 1u=67, v=2

a=4485,b=268,c=4493

alpha/2 = 65 / 69
= 1638 mod 8689

(2751, 3454i) 4344=1 mod 8689

4493

67, 3u=67, v=4 → 56, 37

a=4473,b=536,c=4505

alpha/2 = 63 / 71
= 5508 mod 8689

(1844, 3870i) 1448=1 mod 8689

5*17*53 = 4505

67, 5u=67, v=6 → 66, 13

a=4453,b=804,c=4525

alpha/2 = 61 / 73
= 715 mod 8689

(501, 1251i) 181=1 mod 8689

5*5*181 = 4525

67, 7u=67, v=8 → 52, 43

a=4425,b=1072,c=4553

alpha/2 = 59 / 75
= 2202 mod 8689

(151, 4167i) 1086=1 mod 8689

29*157 = 4553

67, 9u=67, v=10 → 58, 35

a=4389,b=1340,c=4589

alpha/2 = 57 / 77
= 2709 mod 8689

(2754, 3264i) 4344=1 mod 8689

13*353 = 4589

67, 11u=67, v=12 → 68, 3

a=4345,b=1608,c=4633

alpha/2 = 55 / 79
= 6050 mod 8689

(256, 2159i) 1086=1 mod 8689

41*113 = 4633

67, 13u=67, v=14 → 62, 29

a=4293,b=1876,c=4685

alpha/2 = 53 / 81
= 1717 mod 8689

(485, 1398i) 724=1 mod 8689

5*937 = 4685

67, 15u=67, v=16 → 53, 44 → 68, 11

a=4233,b=2144,c=4745

alpha/2 = 51 / 83
= 7224 mod 8689

(336, 3032i) 4344=1 mod 8689

5*13*73 = 4745

67, 17u=67, v=18

a=4165,b=2412,c=4813

alpha/2 = 49 / 85
= 7054 mod 8689

(645, 3848i) 2172=1 mod 8689

4813

67, 19u=67, v=20

a=4089,b=2680,c=4889

alpha/2 = 47 / 87
= 2797 mod 8689

(731, 3200i) 724=1 mod 8689

4889

67, 21u=67, v=22

a=4005,b=2948,c=4973

alpha/2 = 45 / 89
= 5663 mod 8689

(1860, 2113i) 4344=1 mod 8689

4973

67, 23u=67, v=24 → 68, 21

a=3913,b=3216,c=5065

alpha/2 = 43 / 91
= 5634 mod 8689

(517, 1092i) 1448=1 mod 8689

5*1013 = 5065

67, 25u=67, v=26 → 61, 38

a=3813,b=3484,c=5165

alpha/2 = 41 / 93
= 7942 mod 8689

(3088, 3404i) 2172=1 mod 8689

5*1033 = 5165

67, 27u=67, v=28

a=3705,b=3752,c=5273

alpha/2 = 39 / 95
= 7226 mod 8689

(996, 1141i) 362=1 mod 8689

5273

67, 29u=67, v=30 → 58, 45

a=3589,b=4020,c=5389

alpha/2 = 37 / 97
= 717 mod 8689

(1897, 3948i) 1448=1 mod 8689

17*317 = 5389

67, 31u=67, v=32 → 53, 52

a=3465,b=4288,c=5513

alpha/2 = 35 / 99
= 6934 mod 8689

(2384, 4179i) 4344=1 mod 8689

37*149 = 5513

67, 33u=67, v=34 → 74, 13

a=3333,b=4556,c=5645

alpha/2 = 33 / 101
= 7743 mod 8689

(3127, 3861i) 1086=1 mod 8689

5*1129 = 5645

67, 35u=67, v=36 → 59, 48 → 76, 3

a=3193,b=4824,c=5785

alpha/2 = 31 / 103
= 2278 mod 8689

(1007, 2228i) 1086=1 mod 8689

5*13*89 = 5785

67, 37u=67, v=38 → 77, 2

a=3045,b=5092,c=5933

alpha/2 = 29 / 105
= 7779 mod 8689

(1196, 2234i) 2172=1 mod 8689

17*349 = 5933

67, 39u=67, v=40

a=2889,b=5360,c=6089

alpha/2 = 27 / 107
= 5035 mod 8689

(800, 1339i) 1448=1 mod 8689

6089

67, 41u=67, v=42 → 77, 18

a=2725,b=5628,c=6253

alpha/2 = 25 / 109
= 3428 mod 8689

(3593, 4197i) 4344=1 mod 8689

13*13*37 = 6253

67, 43u=67, v=44 → 61, 52

a=2553,b=5896,c=6425

alpha/2 = 23 / 111
= 783 mod 8689

(2858, 3958i) 2172=1 mod 8689

5*5*257 = 6425

67, 45u=67, v=46 → 77, 26

a=2373,b=6164,c=6605

alpha/2 = 21 / 113
= 2307 mod 8689

(2999, 4133i) 543=1 mod 8689

5*1321 = 6605

67, 47u=67, v=48

a=2185,b=6432,c=6793

alpha/2 = 19 / 115
= 4458 mod 8689

(3413, 3743i) 4344=1 mod 8689

6793

67, 49u=67, v=50 → 83, 10

a=1989,b=6700,c=6989

alpha/2 = 17 / 117
= 520 mod 8689

(4085, 4085i) 4=1 mod 8689

29*241 = 6989

67, 51u=67, v=52

a=1785,b=6968,c=7193

alpha/2 = 15 / 119
= 3797 mod 8689

(2458, 3852i) 4344=1 mod 8689

7193

67, 53u=67, v=54 → 86, 3

a=1573,b=7236,c=7405

alpha/2 = 13 / 121
= 6463 mod 8689

(3405, 3741i) 4344=1 mod 8689

5*1481 = 7405

67, 55u=67, v=56 → 76, 43

a=1353,b=7504,c=7625

alpha/2 = 11 / 123
= 2190 mod 8689

(1379, 2737i) 1086=1 mod 8689

5*5*5*61 = 7625

67, 57u=67, v=58

a=1125,b=7772,c=7853

alpha/2 = 9 / 125
= 8272 mod 8689

(157, 3626i) 4344=1 mod 8689

7853

67, 59u=67, v=60

a=889,b=8040,c=8089

alpha/2 = 7 / 127
= 2942 mod 8689

(13, 3489i) 2172=1 mod 8689

8089

67, 61u=67, v=62 → 83, 38

a=645,b=8308,c=8333

alpha/2 = 5 / 129
= 4715 mod 8689

(706, 902i) 4344=1 mod 8689

13*641 = 8333

67, 63u=67, v=64 → 92, 11

a=393,b=8576,c=8585

alpha/2 = 3 / 131
= 4643 mod 8689

(1257, 2756i) 4344=1 mod 8689

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
= 196 mod 8689

(2060, 4067i) 4344=1 mod 8689

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
= 5164 mod 8689

(1317, 2665i) 4344=1 mod 8689

5*5*5*37 = 4625

68, 2u=68, v=3 → 67, 12

a=4615,b=408,c=4633

alpha/2 = 65 / 71
= 1959 mod 8689

(360, 528i) 2172=1 mod 8689

41*113 = 4633

68, 4u=68, v=5

a=4599,b=680,c=4649

alpha/2 = 63 / 73
= 596 mod 8689

(1483, 2409i) 1448=1 mod 8689

4649

68, 6u=68, v=7

a=4575,b=952,c=4673

alpha/2 = 61 / 75
= 3013 mod 8689

(2565, 3825i) 2172=1 mod 8689

4673

68, 8u=68, v=9 → 49, 48

a=4543,b=1224,c=4705

alpha/2 = 59 / 77
= 4176 mod 8689

(3612, 4121i) 1448=1 mod 8689

5*941 = 4705

68, 10u=68, v=11 → 53, 44

a=4503,b=1496,c=4745

alpha/2 = 57 / 79
= 6270 mod 8689

(300, 2094i) 1448=1 mod 8689

5*13*73 = 4745

68, 12u=68, v=13

a=4455,b=1768,c=4793

alpha/2 = 55 / 81
= 4077 mod 8689

(1641, 3904i) 1448=1 mod 8689

4793

68, 14u=68, v=15 → 57, 40

a=4399,b=2040,c=4849

alpha/2 = 53 / 83
= 1885 mod 8689

(69, 271i) 1086=1 mod 8689

13*373 = 4849

68, 1668, 1768, 18u=68, v=19 → 56, 43

a=4263,b=2584,c=4985

alpha/2 = 49 / 87
= 4395 mod 8689

(620, 848i) 1086=1 mod 8689

5*997 = 4985

68, 20u=68, v=21 → 67, 24

a=4183,b=2856,c=5065

alpha/2 = 47 / 89
= 2246 mod 8689

(157, 3626i) 4344=1 mod 8689

5*1013 = 5065

68, 22u=68, v=23

a=4095,b=3128,c=5153

alpha/2 = 45 / 91
= 2865 mod 8689

(672, 3677i) 4344=1 mod 8689

5153

68, 24u=68, v=25 → 65, 32

a=3999,b=3400,c=5249

alpha/2 = 43 / 93
= 6634 mod 8689

(327, 2931i) 4344=1 mod 8689

29*181 = 5249

68, 26u=68, v=27 → 72, 13

a=3895,b=3672,c=5353

alpha/2 = 41 / 95
= 6037 mod 8689

(358, 2314i) 362=1 mod 8689

53*101 = 5353

68, 28u=68, v=29 → 64, 37

a=3783,b=3944,c=5465

alpha/2 = 39 / 97
= 4748 mod 8689

(454, 4028i) 4344=1 mod 8689

5*1093 = 5465

68, 30u=68, v=31 → 73, 16

a=3663,b=4216,c=5585

alpha/2 = 37 / 99
= 8075 mod 8689

(3786, 4027i) 1448=1 mod 8689

5*1117 = 5585

68, 32u=68, v=33 → 72, 23

a=3535,b=4488,c=5713

alpha/2 = 35 / 101
= 1893 mod 8689

(489, 2153i) 2172=1 mod 8689

29*197 = 5713

68, 34u=68, v=35

a=3399,b=4760,c=5849

alpha/2 = 33 / 103
= 4387 mod 8689

(1715, 3333i) 724=1 mod 8689

5849

68, 36u=68, v=37 → 77, 8

a=3255,b=5032,c=5993

alpha/2 = 31 / 105
= 7117 mod 8689

(105, 1603i) 4344=1 mod 8689

13*461 = 5993

68, 38u=68, v=39 → 72, 31

a=3103,b=5304,c=6145

alpha/2 = 29 / 107
= 1868 mod 8689

(248, 879i) 4344=1 mod 8689

5*1229 = 6145

68, 40u=68, v=41 → 64, 47 → 79, 8

a=2943,b=5576,c=6305

alpha/2 = 27 / 109
= 2312 mod 8689

(2561, 3822i) 724=1 mod 8689

5*13*97 = 6305

68, 42u=68, v=43

a=2775,b=5848,c=6473

alpha/2 = 25 / 111
= 2740 mod 8689

(1226, 2546i) 724=1 mod 8689

6473

68, 44u=68, v=45 → 75, 32

a=2599,b=6120,c=6649

alpha/2 = 23 / 113
= 3768 mod 8689

(3, 1153i) 2172=1 mod 8689

61*109 = 6649

68, 46u=68, v=47

a=2415,b=6392,c=6833

alpha/2 = 21 / 115
= 3098 mod 8689

(1539, 3152i) 4344=1 mod 8689

6833

68, 48u=68, v=49 → 79, 28

a=2223,b=6664,c=7025

alpha/2 = 19 / 117
= 4159 mod 8689

(1299, 2513i) 4344=1 mod 8689

5*5*281 = 7025

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

a=1815,b=7208,c=7433

alpha/2 = 15 / 121
= 3447 mod 8689

(3105, 3329i) 4344=1 mod 8689

7433

68, 54u=68, v=55

a=1599,b=7480,c=7649

alpha/2 = 13 / 123
= 4168 mod 8689

(327, 2931i) 4344=1 mod 8689

7649

68, 56u=68, v=57

a=1375,b=7752,c=7873

alpha/2 = 11 / 125
= 5283 mod 8689

(2884, 4335i) 2172=1 mod 8689

7873

68, 58u=68, v=59 → 88, 19

a=1143,b=8024,c=8105

alpha/2 = 9 / 127
= 1300 mod 8689

(731, 3200i) 724=1 mod 8689

5*1621 = 8105

68, 60u=68, v=61 → 91, 8

a=903,b=8296,c=8345

alpha/2 = 7 / 129
= 6601 mod 8689

(3209, 3261i) 1448=1 mod 8689

5*1669 = 8345

68, 62u=68, v=63 → 87, 32

a=655,b=8568,c=8593

alpha/2 = 5 / 131
= 4842 mod 8689

(2083, 2799i) 181=1 mod 8689

13*661 = 8593

68, 64u=68, v=65

a=399,b=8840,c=8849

alpha/2 = 3 / 133
= 588 mod 8689

(1681, 2117i) 543=1 mod 8689

8849

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

a=135,b=9112,c=9113

alpha/2 = 1 / 135
= 708 mod 8689

(1454, 3422i) 4344=1 mod 8689

13*701 = 9113

69, 1u=69, v=2 → 54, 43

a=4757,b=276,c=4765

alpha/2 = 67 / 71
= 7099 mod 8689

(123, 4278i) 2172=1 mod 8689

5*953 = 4765

69, 3u=69, v=4 → 59, 36

a=4745,b=552,c=4777

alpha/2 = 65 / 73
= 477 mod 8689

(463, 3625i) 4344=1 mod 8689

17*281 = 4777

69, 569, 669, 7u=69, v=8 → 64, 27

a=4697,b=1104,c=4825

alpha/2 = 61 / 77
= 5643 mod 8689

(1241, 3417i) 543=1 mod 8689

5*5*193 = 4825

69, 9u=69, v=10

a=4661,b=1380,c=4861

alpha/2 = 59 / 79
= 6490 mod 8689

(2053, 3732i) 2172=1 mod 8689

4861

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

a=4565,b=1932,c=4957

alpha/2 = 55 / 83
= 5235 mod 8689

(1592, 2085i) 181=1 mod 8689

4957

69, 15u=69, v=16 → 61, 36

a=4505,b=2208,c=5017

alpha/2 = 53 / 85
= 3374 mod 8689

(39, 1250i) 724=1 mod 8689

29*173 = 5017

69, 1769, 1869, 19u=69, v=20 → 56, 45

a=4361,b=2760,c=5161

alpha/2 = 49 / 89
= 7518 mod 8689

(119, 846i) 724=1 mod 8689

13*397 = 5161

69, 21u=69, v=22 → 59, 42

a=4277,b=3036,c=5245

alpha/2 = 47 / 91
= 96 mod 8689

(756, 3160i) 4344=1 mod 8689

5*1049 = 5245

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

a=4085,b=3588,c=5437

alpha/2 = 43 / 95
= 4848 mod 8689

(3015, 3026i) 724=1 mod 8689

5437

69, 27u=69, v=28 → 72, 19

a=3977,b=3864,c=5545

alpha/2 = 41 / 97
= 90 mod 8689

(709, 2986i) 1086=1 mod 8689

5*1109 = 5545

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

a=3737,b=4416,c=5785

alpha/2 = 37 / 101
= 4732 mod 8689

(576, 1243i) 181=1 mod 8689

5*13*89 = 5785

69, 33u=69, v=34 → 74, 21

a=3605,b=4692,c=5917

alpha/2 = 35 / 103
= 6496 mod 8689

(3663, 4324i) 1448=1 mod 8689

61*97 = 5917

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

a=3317,b=5244,c=6205

alpha/2 = 31 / 107
= 7390 mod 8689

(1453, 1933i) 543=1 mod 8689

5*17*73 = 6205

69, 39u=69, v=40

a=3161,b=5520,c=6361

alpha/2 = 29 / 109
= 1196 mod 8689

(3048, 3521i) 4344=1 mod 8689

6361

69, 4169, 4269, 43u=69, v=44 → 64, 51

a=2825,b=6072,c=6697

alpha/2 = 25 / 113
= 5229 mod 8689

(1986, 2021i) 4344=1 mod 8689

37*181 = 6697

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

a=2261,b=6900,c=7261

alpha/2 = 19 / 119
= 3651 mod 8689

(735, 3622i) 2172=1 mod 8689

53*137 = 7261

69, 51u=69, v=52 → 83, 24

a=2057,b=7176,c=7465

alpha/2 = 17 / 121
= 431 mod 8689

(119, 846i) 724=1 mod 8689

5*1493 = 7465

69, 5369, 5469, 55u=69, v=56 → 84, 29

a=1625,b=7728,c=7897

alpha/2 = 13 / 125
= 2294 mod 8689

(3696, 4134i) 4344=1 mod 8689

53*149 = 7897

69, 57u=69, v=58 → 86, 27

a=1397,b=8004,c=8125

alpha/2 = 11 / 127
= 8347 mod 8689

(3772, 4053i) 1448=1 mod 8689

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
= 5041 mod 8689

(735, 3622i) 2172=1 mod 8689

5*1721 = 8605

69, 63u=69, v=64 → 91, 24

a=665,b=8832,c=8857

alpha/2 = 5 / 133
= 980 mod 8689

(366, 2430i) 1086=1 mod 8689

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
= 7040 mod 8689

(1185, 2609i) 4344=1 mod 8689

5*1877 = 9385

u=70, v=1 f(70,v)=4900+v2;→ → 50, 49

a=4899,b=140,c=4901

alpha/2 = 69 / 71
= 3550 mod 8689

(1202, 2749i) 4344=1 mod 8689

13*13*29 = 4901

70, 2u=70, v=3

a=4891,b=420,c=4909

alpha/2 = 67 / 73
= 358 mod 8689

(1931, 4180i) 1086=1 mod 8689

4909

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

a=4819,b=1260,c=4981

alpha/2 = 61 / 79
= 6710 mod 8689

(2193, 2574i) 4344=1 mod 8689

17*293 = 4981

70, 10u=70, v=11

a=4779,b=1540,c=5021

alpha/2 = 59 / 81
= 108 mod 8689

(70, 1128i) 543=1 mod 8689

5021

70, 12u=70, v=13 → 62, 35

a=4731,b=1820,c=5069

alpha/2 = 57 / 83
= 8585 mod 8689

(2548, 4321i) 362=1 mod 8689

37*137 = 5069

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

a=4611,b=2380,c=5189

alpha/2 = 53 / 87
= 7591 mod 8689

(1042, 1734i) 181=1 mod 8689

5189

70, 18u=70, v=19

a=4539,b=2660,c=5261

alpha/2 = 51 / 89
= 4101 mod 8689

(567, 716i) 181=1 mod 8689

5261

70, 2070, 2170, 22u=70, v=23 → 73, 10

a=4371,b=3220,c=5429

alpha/2 = 47 / 93
= 4018 mod 8689

(692, 3994i) 4344=1 mod 8689

61*89 = 5429

70, 2470, 2570, 26u=70, v=27 → 75, 2

a=4171,b=3780,c=5629

alpha/2 = 43 / 97
= 4121 mod 8689

(1021, 2503i) 181=1 mod 8689

13*433 = 5629

70, 28u=70, v=29

a=4059,b=4060,c=5741

alpha/2 = 41 / 99
= 1668 mod 8689

(482, 2433i) 181=1 mod 8689

5741

70, 30u=70, v=31

a=3939,b=4340,c=5861

alpha/2 = 39 / 101
= 7571 mod 8689

(1547, 1553i) 4344=1 mod 8689

5861

70, 32u=70, v=33 → 65, 42

a=3811,b=4620,c=5989

alpha/2 = 37 / 103
= 8605 mod 8689

(639, 1543i) 2172=1 mod 8689

53*113 = 5989

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

a=3531,b=5180,c=6269

alpha/2 = 33 / 107
= 4223 mod 8689

(354, 433i) 1086=1 mod 8689

6269

70, 38u=70, v=39

a=3379,b=5460,c=6421

alpha/2 = 31 / 109
= 80 mod 8689

(4071, 4186i) 543=1 mod 8689

6421

70, 40u=70, v=41

a=3219,b=5740,c=6581

alpha/2 = 29 / 111
= 6654 mod 8689

(1036, 1132i) 724=1 mod 8689

6581

70, 42u=70, v=43 → 82, 5

a=3051,b=6020,c=6749

alpha/2 = 27 / 113
= 6690 mod 8689

(2780, 2950i) 1448=1 mod 8689

17*397 = 6749

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

a=2691,b=6580,c=7109

alpha/2 = 23 / 117
= 2748 mod 8689

(1434, 1767i) 1448=1 mod 8689

7109

70, 4870, 4970, 50u=70, v=51 → 74, 45

a=2299,b=7140,c=7501

alpha/2 = 19 / 121
= 6104 mod 8689

(2496, 3768i) 4344=1 mod 8689

13*577 = 7501

70, 52u=70, v=53 → 85, 22

a=2091,b=7420,c=7709

alpha/2 = 17 / 123
= 8124 mod 8689

(11, 2475i) 2172=1 mod 8689

13*593 = 7709

70, 5470, 5570, 56u=70, v=57 → 90, 7

a=1651,b=7980,c=8149

alpha/2 = 13 / 127
= 6705 mod 8689

(3199, 3847i) 724=1 mod 8689

29*281 = 8149

70, 58u=70, v=59 → 91, 10

a=1419,b=8260,c=8381

alpha/2 = 11 / 129
= 1684 mod 8689

(1547, 1553i) 4344=1 mod 8689

17*17*29 = 8381

70, 60u=70, v=61 → 86, 35

a=1179,b=8540,c=8621

alpha/2 = 9 / 131
= 5240 mod 8689

(366, 2430i) 1086=1 mod 8689

37*233 = 8621

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

a=411,b=9380,c=9389

alpha/2 = 3 / 137
= 3742 mod 8689

(13, 3489i) 2172=1 mod 8689

41*229 = 9389

70, 68u=70, v=69 f(u,69)=u2+4761;↓

a=139,b=9660,c=9661

alpha/2 = 1 / 139
= 5751 mod 8689

(2083, 2799i) 181=1 mod 8689

9661

71, 1u=71, v=2 → 58, 41

a=5037,b=284,c=5045

alpha/2 = 69 / 73
= 239 mod 8689

(2499, 2519i) 543=1 mod 8689

5*1009 = 5045

71, 3u=71, v=4 → 64, 31

a=5025,b=568,c=5057

alpha/2 = 67 / 75
= 5446 mod 8689

(1379, 2737i) 1086=1 mod 8689

13*389 = 5057

71, 5u=71, v=6

a=5005,b=852,c=5077

alpha/2 = 65 / 77
= 8577 mod 8689

(1298, 2338i) 1448=1 mod 8689

5077

71, 7u=71, v=8 → 52, 49

a=4977,b=1136,c=5105

alpha/2 = 63 / 79
= 6930 mod 8689

(932, 2832i) 724=1 mod 8689

5*1021 = 5105

71, 9u=71, v=10 → 55, 46

a=4941,b=1420,c=5141

alpha/2 = 61 / 81
= 2468 mod 8689

(2068, 3380i) 1086=1 mod 8689

53*97 = 5141

71, 11u=71, v=12 → 57, 44 → 72, 1

a=4897,b=1704,c=5185

alpha/2 = 59 / 83
= 3246 mod 8689

(60, 356i) 724=1 mod 8689

5*17*61 = 5185

71, 13u=71, v=14

a=4845,b=1988,c=5237

alpha/2 = 57 / 85
= 8383 mod 8689

(2488, 3303i) 543=1 mod 8689

5237

71, 15u=71, v=16

a=4785,b=2272,c=5297

alpha/2 = 55 / 87
= 500 mod 8689

(2458, 3852i) 4344=1 mod 8689

5297

71, 17u=71, v=18 → 57, 46 → 73, 6

a=4717,b=2556,c=5365

alpha/2 = 53 / 89
= 684 mod 8689

(2571, 3387i) 362=1 mod 8689

5*29*37 = 5365

71, 19u=71, v=20

a=4641,b=2840,c=5441

alpha/2 = 51 / 91
= 3247 mod 8689

(1820, 2227i) 4344=1 mod 8689

5441

71, 21u=71, v=22 → 62, 41 → 74, 7

a=4557,b=3124,c=5525

alpha/2 = 49 / 93
= 2710 mod 8689

(1440, 1671i) 1448=1 mod 8689

5*5*13*17 = 5525

71, 23u=71, v=24 → 64, 39

a=4465,b=3408,c=5617

alpha/2 = 47 / 95
= 2470 mod 8689

(1223, 3257i) 543=1 mod 8689

41*137 = 5617

71, 25u=71, v=26

a=4365,b=3692,c=5717

alpha/2 = 45 / 97
= 8152 mod 8689

(2422, 3273i) 1086=1 mod 8689

5717

71, 27u=71, v=28 → 76, 7

a=4257,b=3976,c=5825

alpha/2 = 43 / 99
= 2809 mod 8689

(1212, 1579i) 1448=1 mod 8689

5*5*233 = 5825

71, 29u=71, v=30 → 55, 54

a=4141,b=4260,c=5941

alpha/2 = 41 / 101
= 1721 mod 8689

(3113, 3641i) 4344=1 mod 8689

13*457 = 5941

71, 31u=71, v=32 → 76, 17

a=4017,b=4544,c=6065

alpha/2 = 39 / 103
= 2025 mod 8689

(634, 2121i) 4344=1 mod 8689

5*1213 = 6065

71, 33u=71, v=34

a=3885,b=4828,c=6197

alpha/2 = 37 / 105
= 5131 mod 8689

(807, 3935i) 4344=1 mod 8689

6197

71, 35u=71, v=36

a=3745,b=5112,c=6337

alpha/2 = 35 / 107
= 1056 mod 8689

(2662, 4165i) 543=1 mod 8689

6337

71, 37u=71, v=38 → 73, 34

a=3597,b=5396,c=6485

alpha/2 = 33 / 109
= 7653 mod 8689

(3593, 4197i) 4344=1 mod 8689

5*1297 = 6485

71, 39u=71, v=40 → 79, 20

a=3441,b=5680,c=6641

alpha/2 = 31 / 111
= 8611 mod 8689

(1287, 3804i) 1086=1 mod 8689

29*229 = 6641

71, 41u=71, v=42 → 82, 9

a=3277,b=5964,c=6805

alpha/2 = 29 / 113
= 8151 mod 8689

(667, 2598i) 4344=1 mod 8689

5*1361 = 6805

71, 43u=71, v=44

a=3105,b=6248,c=6977

alpha/2 = 27 / 115
= 7707 mod 8689

(890, 3610i) 4344=1 mod 8689

6977

71, 45u=71, v=46 → 74, 41

a=2925,b=6532,c=7157

alpha/2 = 25 / 117
= 6387 mod 8689

(3127, 3861i) 1086=1 mod 8689

17*421 = 7157

71, 47u=71, v=48 → 64, 57 → 84, 17

a=2737,b=6816,c=7345

alpha/2 = 23 / 119
= 3505 mod 8689

(1867, 2487i) 724=1 mod 8689

5*13*113 = 7345

71, 49u=71, v=50

a=2541,b=7100,c=7541

alpha/2 = 21 / 121
= 3088 mod 8689

(1114, 2276i) 4344=1 mod 8689

7541

71, 51u=71, v=52 → 88, 1

a=2337,b=7384,c=7745

alpha/2 = 19 / 123
= 1413 mod 8689

(154, 376i) 2172=1 mod 8689

5*1549 = 7745

71, 53u=71, v=54 → 89, 6

a=2125,b=7668,c=7957

alpha/2 = 17 / 125
= 5005 mod 8689

(2432, 2555i) 181=1 mod 8689

73*109 = 7957

71, 55u=71, v=56 → 89, 16

a=1905,b=7952,c=8177

alpha/2 = 15 / 127
= 5063 mod 8689

(256, 2159i) 1086=1 mod 8689

13*17*37 = 8177

71, 57u=71, v=58 → 89, 22

a=1677,b=8236,c=8405

alpha/2 = 13 / 129
= 3570 mod 8689

(29, 4308i) 1086=1 mod 8689

5*41*41 = 8405

71, 59u=71, v=60

a=1441,b=8520,c=8641

alpha/2 = 11 / 131
= 5439 mod 8689

(151, 4167i) 1086=1 mod 8689

8641

71, 61u=71, v=62 → 94, 7

a=1197,b=8804,c=8885

alpha/2 = 9 / 133
= 1764 mod 8689

(2083, 2799i) 181=1 mod 8689

5*1777 = 8885

71, 63u=71, v=64

a=945,b=9088,c=9137

alpha/2 = 7 / 135
= 4956 mod 8689

(1221, 1224i) 2172=1 mod 8689

9137

71, 65u=71, v=66

a=685,b=9372,c=9397

alpha/2 = 5 / 137
= 444 mod 8689

(3104, 3374i) 724=1 mod 8689

9397

71, 67u=71, v=68 → 97, 16

a=417,b=9656,c=9665

alpha/2 = 3 / 139
= 8564 mod 8689

(366, 2430i) 1086=1 mod 8689

5*1933 = 9665

71, 69u=71, v=70 f(u,70)=u2+4900;↓

a=141,b=9940,c=9941

alpha/2 = 1 / 141
= 493 mod 8689

(1507, 3810i) 724=1 mod 8689

9941

u=72, v=1 f(72,v)=5184+v2;→ → 57, 44

a=5183,b=144,c=5185

alpha/2 = 71 / 73
= 120 mod 8689

(4162, 4166i) 2172=1 mod 8689

5*17*61 = 5185

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

a=5159,b=720,c=5209

alpha/2 = 67 / 77
= 1355 mod 8689

(2996, 3172i) 4344=1 mod 8689

5209

72, 6u=72, v=7

a=5135,b=1008,c=5233

alpha/2 = 65 / 79
= 7150 mod 8689

(4, 2534i) 362=1 mod 8689

5233

72, 872, 972, 10u=72, v=11 → 52, 51

a=5063,b=1584,c=5305

alpha/2 = 61 / 83
= 6596 mod 8689

(2218, 4248i) 4344=1 mod 8689

5*1061 = 5305

72, 12u=72, v=13 → 68, 27

a=5015,b=1872,c=5353

alpha/2 = 59 / 85
= 6543 mod 8689

(621, 3250i) 724=1 mod 8689

53*101 = 5353

72, 1472, 1572, 16u=72, v=17 → 73, 12

a=4895,b=2448,c=5473

alpha/2 = 55 / 89
= 5956 mod 8689

(1557, 3627i) 4344=1 mod 8689

13*421 = 5473

72, 18u=72, v=19 → 69, 28

a=4823,b=2736,c=5545

alpha/2 = 53 / 91
= 478 mod 8689

(460, 2654i) 181=1 mod 8689

5*1109 = 5545

72, 2072, 2172, 22u=72, v=23 → 68, 33

a=4655,b=3312,c=5713

alpha/2 = 49 / 95
= 1281 mod 8689

(1823, 3359i) 543=1 mod 8689

29*197 = 5713

72, 24u=72, v=25 → 60, 47

a=4559,b=3600,c=5809

alpha/2 = 47 / 97
= 3494 mod 8689

(2171, 3471i) 2172=1 mod 8689

37*157 = 5809

72, 2672, 2772, 28u=72, v=29 → 61, 48

a=4343,b=4176,c=6025

alpha/2 = 43 / 101
= 4560 mod 8689

(3048, 3521i) 4344=1 mod 8689

5*5*241 = 6025

72, 30u=72, v=31 → 68, 39

a=4223,b=4464,c=6145

alpha/2 = 41 / 103
= 4134 mod 8689

(3120, 3605i) 1448=1 mod 8689

5*1229 = 6145

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

a=3959,b=5040,c=6409

alpha/2 = 37 / 107
= 6578 mod 8689

(3199, 3847i) 724=1 mod 8689

13*17*29 = 6409

72, 36u=72, v=37

a=3815,b=5328,c=6553

alpha/2 = 35 / 109
= 6537 mod 8689

(494, 3029i) 1448=1 mod 8689

6553

72, 3872, 3972, 40u=72, v=41 → 76, 33

a=3503,b=5904,c=6865

alpha/2 = 31 / 113
= 923 mod 8689

(464, 2512i) 1086=1 mod 8689

5*1373 = 6865

72, 42u=72, v=43 → 83, 12

a=3335,b=6192,c=7033

alpha/2 = 29 / 115
= 6347 mod 8689

(3015, 3026i) 724=1 mod 8689

13*541 = 7033

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

a=2975,b=6768,c=7393

alpha/2 = 25 / 119
= 3432 mod 8689

(9, 3867i) 181=1 mod 8689

7393

72, 48u=72, v=49 → 87, 4

a=2783,b=7056,c=7585

alpha/2 = 23 / 121
= 72 mod 8689

(4162, 4166i) 2172=1 mod 8689

5*37*41 = 7585

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

a=2375,b=7632,c=7993

alpha/2 = 19 / 125
= 2016 mod 8689

(1514, 2386i) 1448=1 mod 8689

7993

72, 54u=72, v=55

a=2159,b=7920,c=8209

alpha/2 = 17 / 127
= 3421 mod 8689

(3453, 4328i) 2172=1 mod 8689

8209

72, 5672, 5772, 58u=72, v=59 → 93, 4

a=1703,b=8496,c=8665

alpha/2 = 13 / 131
= 5638 mod 8689

(354, 433i) 1086=1 mod 8689

5*1733 = 8665

72, 60u=72, v=61 → 93, 16

a=1463,b=8784,c=8905

alpha/2 = 11 / 133
= 2156 mod 8689

(47, 2937i) 543=1 mod 8689

5*13*137 = 8905

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

a=959,b=9360,c=9409

alpha/2 = 7 / 137
= 5835 mod 8689

(13, 3489i) 2172=1 mod 8689

97*97 = 9409

72, 66u=72, v=67 → 93, 32

a=695,b=9648,c=9673

alpha/2 = 5 / 139
= 2688 mod 8689

(2341, 4229i) 4344=1 mod 8689

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
= 7413 mod 8689

(1351, 2178i) 181=1 mod 8689

5*5*409 = 10225

73, 1u=73, v=2

a=5325,b=292,c=5333

alpha/2 = 71 / 75
= 7068 mod 8689

(3107, 3895i) 24=1 mod 8689

5333

73, 3u=73, v=4 → 56, 47

a=5313,b=584,c=5345

alpha/2 = 69 / 77
= 2822 mod 8689

(603, 4200i) 4344=1 mod 8689

5*1069 = 5345

73, 5u=73, v=6 → 57, 46

a=5293,b=876,c=5365

alpha/2 = 67 / 79
= 7370 mod 8689

(63, 3577i) 2172=1 mod 8689

5*29*37 = 5365

73, 7u=73, v=8

a=5265,b=1168,c=5393

alpha/2 = 65 / 81
= 7188 mod 8689

(1561, 4219i) 4344=1 mod 8689

5393

73, 9u=73, v=10 → 70, 23

a=5229,b=1460,c=5429

alpha/2 = 63 / 83
= 1257 mod 8689

(3466, 3572i) 1448=1 mod 8689

61*89 = 5429

73, 11u=73, v=12 → 72, 17

a=5185,b=1752,c=5473

alpha/2 = 61 / 85
= 4703 mod 8689

(1881, 3762i) 4344=1 mod 8689

13*421 = 5473

73, 13u=73, v=14 → 62, 41 → 74, 7

a=5133,b=2044,c=5525

alpha/2 = 59 / 87
= 3696 mod 8689

(1539, 3152i) 4344=1 mod 8689

5*5*13*17 = 5525

73, 15u=73, v=16 → 68, 31

a=5073,b=2336,c=5585

alpha/2 = 57 / 89
= 2539 mod 8689

(2507, 3763i) 4344=1 mod 8689

5*1117 = 5585

73, 17u=73, v=18

a=5005,b=2628,c=5653

alpha/2 = 55 / 91
= 6398 mod 8689

(1478, 2611i) 1448=1 mod 8689

5653

73, 19u=73, v=20 → 55, 52

a=4929,b=2920,c=5729

alpha/2 = 53 / 93
= 94 mod 8689

(3289, 3639i) 4344=1 mod 8689

17*337 = 5729

73, 21u=73, v=22

a=4845,b=3212,c=5813

alpha/2 = 51 / 95
= 92 mod 8689

(2406, 4035i) 181=1 mod 8689

5813

73, 23u=73, v=24 → 63, 44

a=4753,b=3504,c=5905

alpha/2 = 49 / 97
= 7525 mod 8689

(2698, 3744i) 4344=1 mod 8689

5*1181 = 5905

73, 25u=73, v=26 → 74, 23

a=4653,b=3796,c=6005

alpha/2 = 47 / 99
= 5091 mod 8689

(892, 3174i) 4344=1 mod 8689

5*1201 = 6005

73, 27u=73, v=28

a=4545,b=4088,c=6113

alpha/2 = 45 / 101
= 7399 mod 8689

(2454, 4154i) 543=1 mod 8689

6113

73, 29u=73, v=30

a=4429,b=4380,c=6229

alpha/2 = 43 / 103
= 6243 mod 8689

(634, 2121i) 4344=1 mod 8689

6229

73, 31u=73, v=32

a=4305,b=4672,c=6353

alpha/2 = 41 / 105
= 3807 mod 8689

(2, 3807i) 1086=1 mod 8689

6353

73, 33u=73, v=34 → 71, 38

a=4173,b=4964,c=6485

alpha/2 = 39 / 107
= 3411 mod 8689

(1212, 1579i) 1448=1 mod 8689

5*1297 = 6485

73, 35u=73, v=36 → 81, 8

a=4033,b=5256,c=6625

alpha/2 = 37 / 109
= 5421 mod 8689

(1316, 3635i) 1448=1 mod 8689

5*5*5*53 = 6625

73, 37u=73, v=38 → 82, 7

a=3885,b=5548,c=6773

alpha/2 = 35 / 111
= 3836 mod 8689

(632, 3957i) 1448=1 mod 8689

13*521 = 6773

73, 39u=73, v=40 → 80, 23

a=3729,b=5840,c=6929

alpha/2 = 33 / 113
= 2384 mod 8689

(1577, 2768i) 4344=1 mod 8689

13*13*41 = 6929

73, 41u=73, v=42 → 62, 57

a=3565,b=6132,c=7093

alpha/2 = 31 / 115
= 4987 mod 8689

(3198, 4112i) 362=1 mod 8689

41*173 = 7093

73, 43u=73, v=44 → 79, 32

a=3393,b=6424,c=7265

alpha/2 = 29 / 117
= 4976 mod 8689

(1704, 3616i) 4344=1 mod 8689

5*1453 = 7265

73, 45u=73, v=46 → 86, 7

a=3213,b=6716,c=7445

alpha/2 = 27 / 119
= 3359 mod 8689

(2017, 3013i) 543=1 mod 8689

5*1489 = 7445

73, 47u=73, v=48 → 87, 8

a=3025,b=7008,c=7633

alpha/2 = 25 / 121
= 5745 mod 8689

(3153, 3165i) 1448=1 mod 8689

17*449 = 7633

73, 49u=73, v=50

a=2829,b=7300,c=7829

alpha/2 = 23 / 123
= 5369 mod 8689

(1406, 3442i) 4344=1 mod 8689

7829

73, 51u=73, v=52 → 88, 17

a=2625,b=7592,c=8033

alpha/2 = 21 / 125
= 7716 mod 8689

(3612, 4121i) 1448=1 mod 8689

29*277 = 8033

73, 53u=73, v=54 → 89, 18

a=2413,b=7884,c=8245

alpha/2 = 19 / 127
= 1779 mod 8689

(1658, 4010i) 4344=1 mod 8689

5*17*97 = 8245

73, 55u=73, v=56 → 92, 1

a=2193,b=8176,c=8465

alpha/2 = 17 / 129
= 7342 mod 8689

(29, 4308i) 1086=1 mod 8689

5*1693 = 8465

73, 57u=73, v=58

a=1965,b=8468,c=8693

alpha/2 = 15 / 131
= 5837 mod 8689

(1681, 2117i) 543=1 mod 8689

8693

73, 59u=73, v=60

a=1729,b=8760,c=8929

alpha/2 = 13 / 133
= 2548 mod 8689

(29, 4308i) 1086=1 mod 8689

8929

73, 61u=73, v=62

a=1485,b=9052,c=9173

alpha/2 = 11 / 135
= 7788 mod 8689

(2173, 3749i) 2172=1 mod 8689

9173

73, 63u=73, v=64 → 97, 4

a=1233,b=9344,c=9425

alpha/2 = 9 / 137
= 2537 mod 8689

(1501, 2254i) 181=1 mod 8689

5*5*13*29 = 9425

73, 65u=73, v=66 → 98, 9

a=973,b=9636,c=9685

alpha/2 = 7 / 139
= 5501 mod 8689

(411, 1770i) 4344=1 mod 8689

5*13*149 = 9685

73, 67u=73, v=68 → 88, 47

a=705,b=9928,c=9953

alpha/2 = 5 / 141
= 2465 mod 8689

(1257, 2756i) 4344=1 mod 8689

37*269 = 9953

73, 69u=73, v=70 → 98, 25

a=429,b=10220,c=10229

alpha/2 = 3 / 143
= 4861 mod 8689

(3153, 3165i) 1448=1 mod 8689

53*193 = 10229

73, 71u=73, v=72 f(u,72)=u2+5184;↓

a=145,b=10512,c=10513

alpha/2 = 1 / 145
= 3955 mod 8689

(462, 2521i) 543=1 mod 8689

10513

u=74, v=1 f(74,v)=5476+v2;→

a=5475,b=148,c=5477

alpha/2 = 73 / 75
= 7879 mod 8689

(1385, 1779i) 4344=1 mod 8689

5477

74, 2u=74, v=3 → 61, 42

a=5467,b=444,c=5485

alpha/2 = 71 / 77
= 4289 mod 8689

(651, 1319i) 1448=1 mod 8689

5*1097 = 5485

74, 4u=74, v=5

a=5451,b=740,c=5501

alpha/2 = 69 / 79
= 7590 mod 8689

(2732, 3925i) 181=1 mod 8689

5501

74, 6u=74, v=7 → 62, 41

a=5427,b=1036,c=5525

alpha/2 = 67 / 81
= 859 mod 8689

(3383, 3959i) 4344=1 mod 8689

5*5*13*17 = 5525

74, 8u=74, v=9

a=5395,b=1332,c=5557

alpha/2 = 65 / 83
= 4607 mod 8689

(748, 3496i) 4344=1 mod 8689

5557

74, 10u=74, v=11 → 59, 46

a=5355,b=1628,c=5597

alpha/2 = 63 / 85
= 2863 mod 8689

(3950, 4227i) 1448=1 mod 8689

29*193 = 5597

74, 12u=74, v=13 → 67, 34

a=5307,b=1924,c=5645

alpha/2 = 61 / 87
= 5294 mod 8689

(2831, 4083i) 181=1 mod 8689

5*1129 = 5645

74, 14u=74, v=15

a=5251,b=2220,c=5701

alpha/2 = 59 / 89
= 7811 mod 8689

(784, 1920i) 4344=1 mod 8689

5701

74, 16u=74, v=17 → 58, 49

a=5187,b=2516,c=5765

alpha/2 = 57 / 91
= 3629 mod 8689

(405, 2325i) 1448=1 mod 8689

5*1153 = 5765

74, 18u=74, v=19 → 61, 46

a=5115,b=2812,c=5837

alpha/2 = 55 / 93
= 7475 mod 8689

(1226, 2546i) 724=1 mod 8689

13*449 = 5837

74, 20u=74, v=21 → 69, 34

a=5035,b=3108,c=5917

alpha/2 = 53 / 95
= 7592 mod 8689

(1842, 2766i) 4344=1 mod 8689

61*97 = 5917

74, 22u=74, v=23 → 73, 26

a=4947,b=3404,c=6005

alpha/2 = 51 / 97
= 2867 mod 8689

(1559, 3508i) 1448=1 mod 8689

5*1201 = 6005

74, 24u=74, v=25

a=4851,b=3700,c=6101

alpha/2 = 49 / 99
= 6232 mod 8689

(12, 2815i) 4344=1 mod 8689

6101

74, 26u=74, v=27 → 66, 43 → 78, 11

a=4747,b=3996,c=6205

alpha/2 = 47 / 101
= 1549 mod 8689

(2454, 4154i) 543=1 mod 8689

5*17*73 = 6205

74, 28u=74, v=29

a=4635,b=4292,c=6317

alpha/2 = 45 / 103
= 8352 mod 8689

(892, 3174i) 4344=1 mod 8689

6317

74, 30u=74, v=31 → 79, 14

a=4515,b=4588,c=6437

alpha/2 = 43 / 105
= 3145 mod 8689

(901, 1032i) 543=1 mod 8689

41*157 = 6437

74, 32u=74, v=33 → 66, 47 → 81, 2

a=4387,b=4884,c=6565

alpha/2 = 41 / 107
= 244 mod 8689

(2432, 2555i) 181=1 mod 8689

5*13*101 = 6565

74, 34u=74, v=35

a=4251,b=5180,c=6701

alpha/2 = 39 / 109
= 4305 mod 8689

(1038, 2445i) 1086=1 mod 8689

6701

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

a=3955,b=5772,c=6997

alpha/2 = 35 / 113
= 3845 mod 8689

(1014, 2530i) 1448=1 mod 8689

6997

74, 40u=74, v=41 → 71, 46

a=3795,b=6068,c=7157

alpha/2 = 33 / 115
= 3627 mod 8689

(1085, 2805i) 1086=1 mod 8689

17*421 = 7157

74, 42u=74, v=43 → 62, 59

a=3627,b=6364,c=7325

alpha/2 = 31 / 117
= 8615 mod 8689

(1385, 1779i) 4344=1 mod 8689

5*5*293 = 7325

74, 44u=74, v=45 → 70, 51

a=3451,b=6660,c=7501

alpha/2 = 29 / 119
= 3286 mod 8689

(521, 3559i) 1448=1 mod 8689

13*577 = 7501

74, 46u=74, v=47 → 86, 17

a=3267,b=6956,c=7685

alpha/2 = 27 / 121
= 2729 mod 8689

(992, 3801i) 543=1 mod 8689

5*29*53 = 7685

74, 48u=74, v=49

a=3075,b=7252,c=7877

alpha/2 = 25 / 123
= 7347 mod 8689

(1641, 3904i) 1448=1 mod 8689

7877

74, 50u=74, v=51 → 66, 61

a=2875,b=7548,c=8077

alpha/2 = 23 / 125
= 4727 mod 8689

(2884, 4335i) 2172=1 mod 8689

41*197 = 8077

74, 52u=74, v=53 → 91, 2

a=2667,b=7844,c=8285

alpha/2 = 21 / 127
= 137 mod 8689

(1185, 2609i) 4344=1 mod 8689

5*1657 = 8285

74, 54u=74, v=55

a=2451,b=8140,c=8501

alpha/2 = 19 / 129
= 539 mod 8689

(429, 3371i) 4344=1 mod 8689

8501

74, 56u=74, v=57 → 87, 34

a=2227,b=8436,c=8725

alpha/2 = 17 / 131
= 6036 mod 8689

(2662, 4165i) 543=1 mod 8689

5*5*349 = 8725

74, 58u=74, v=59 → 94, 11

a=1995,b=8732,c=8957

alpha/2 = 15 / 133
= 2940 mod 8689

(1257, 2756i) 4344=1 mod 8689

13*13*53 = 8957

74, 60u=74, v=61 → 94, 19

a=1755,b=9028,c=9197

alpha/2 = 13 / 135
= 515 mod 8689

(2240, 2552i) 4344=1 mod 8689

17*541 = 9197

74, 62u=74, v=63 → 97, 6

a=1507,b=9324,c=9445

alpha/2 = 11 / 137
= 7928 mod 8689

(2884, 4335i) 2172=1 mod 8689

5*1889 = 9445

74, 64u=74, v=65 → 95, 26

a=1251,b=9620,c=9701

alpha/2 = 9 / 139
= 8314 mod 8689

(1639, 2669i) 4344=1 mod 8689

89*109 = 9701

74, 66u=74, v=67 → 98, 19

a=987,b=9916,c=9965

alpha/2 = 7 / 141
= 3451 mod 8689

(1681, 2117i) 543=1 mod 8689

5*1993 = 9965

74, 68u=74, v=69

a=715,b=10212,c=10237

alpha/2 = 5 / 143
= 2309 mod 8689

(3105, 3329i) 4344=1 mod 8689

29*353 = 10237

74, 70u=74, v=71 → 94, 41

a=435,b=10508,c=10517

alpha/2 = 3 / 145
= 3176 mod 8689

(1078, 2914i) 2172=1 mod 8689

13*809 = 10517

74, 72u=74, v=73 f(u,73)=u2+5329;↓

a=147,b=10804,c=10805

alpha/2 = 1 / 147
= 5970 mod 8689

(1277, 3438i) 543=1 mod 8689

5*2161 = 10805

75, 1u=75, v=2 → 70, 27

a=5621,b=300,c=5629

alpha/2 = 73 / 77
= 5756 mod 8689

(762, 1874i) 2172=1 mod 8689

13*433 = 5629

75, 3u=75, v=4

a=5609,b=600,c=5641

alpha/2 = 71 / 79
= 7810 mod 8689

(3147, 3990i) 4344=1 mod 8689

5641

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

a=5561,b=1200,c=5689

alpha/2 = 67 / 83
= 7957 mod 8689

(2177, 3476i) 181=1 mod 8689

5689

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

a=5429,b=2100,c=5821

alpha/2 = 61 / 89
= 4394 mod 8689

(437, 4204i) 543=1 mod 8689

5821

75, 15u=75, v=16

a=5369,b=2400,c=5881

alpha/2 = 59 / 91
= 860 mod 8689

(519, 4061i) 4344=1 mod 8689

5881

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

a=5141,b=3300,c=6109

alpha/2 = 53 / 97
= 6898 mod 8689

(807, 3935i) 4344=1 mod 8689

41*149 = 6109

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

a=4949,b=3900,c=6301

alpha/2 = 49 / 101
= 4388 mod 8689

(435, 1588i) 724=1 mod 8689

6301

75, 27u=75, v=28 → 60, 53 → 80, 3

a=4841,b=4200,c=6409

alpha/2 = 47 / 103
= 1772 mod 8689

(1709, 4114i) 181=1 mod 8689

13*17*29 = 6409

75, 2975, 3075, 31u=75, v=32 → 68, 45

a=4601,b=4800,c=6649

alpha/2 = 43 / 107
= 5766 mod 8689

(1531, 3201i) 2172=1 mod 8689

61*109 = 6649

75, 33u=75, v=34

a=4469,b=5100,c=6781

alpha/2 = 41 / 109
= 3189 mod 8689

(1910, 3190i) 1448=1 mod 8689

6781

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

a=4181,b=5700,c=7069

alpha/2 = 37 / 113
= 5306 mod 8689

(2571, 3387i) 362=1 mod 8689

7069

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

a=3689,b=6600,c=7561

alpha/2 = 31 / 119
= 3213 mod 8689

(1658, 4010i) 4344=1 mod 8689

7561

75, 45u=75, v=46

a=3509,b=6900,c=7741

alpha/2 = 29 / 121
= 8402 mod 8689

(1142, 2427i) 4344=1 mod 8689

7741

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

a=2921,b=7800,c=8329

alpha/2 = 23 / 127
= 7184 mod 8689

(2140, 2918i) 543=1 mod 8689

8329

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

a=2489,b=8400,c=8761

alpha/2 = 19 / 131
= 6235 mod 8689

(2017, 3013i) 543=1 mod 8689

8761

75, 57u=75, v=58 → 85, 42

a=2261,b=8700,c=8989

alpha/2 = 17 / 133
= 3332 mod 8689

(29, 4308i) 1086=1 mod 8689

89*101 = 8989

75, 5975, 6075, 61u=75, v=62 → 90, 37

a=1781,b=9300,c=9469

alpha/2 = 13 / 137
= 4630 mod 8689

(1016, 3330i) 4344=1 mod 8689

17*557 = 9469

75, 63u=75, v=64

a=1529,b=9600,c=9721

alpha/2 = 11 / 139
= 2438 mod 8689

(1152, 2030i) 4344=1 mod 8689

9721

75, 6575, 6675, 67u=75, v=68 → 93, 40

a=1001,b=10200,c=10249

alpha/2 = 7 / 143
= 8446 mod 8689

(2667, 3837i) 4344=1 mod 8689

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
= 1108 mod 8689

(298, 1106i) 4344=1 mod 8689

17*653 = 11101

u=76, v=1 f(76,v)=5776+v2;→ → 64, 41

a=5775,b=152,c=5777

alpha/2 = 75 / 77
= 7223 mod 8689

(186, 3318i) 1448=1 mod 8689

53*109 = 5777

76, 2u=76, v=3 → 59, 48

a=5767,b=456,c=5785

alpha/2 = 73 / 79
= 8030 mod 8689

(1130, 2585i) 2172=1 mod 8689

5*13*89 = 5785

76, 4u=76, v=5

a=5751,b=760,c=5801

alpha/2 = 71 / 81
= 5579 mod 8689

(5, 1829i) 2172=1 mod 8689

5801

76, 6u=76, v=7 → 71, 28

a=5727,b=1064,c=5825

alpha/2 = 69 / 83
= 2618 mod 8689

(1704, 3616i) 4344=1 mod 8689

5*5*233 = 5825

76, 8u=76, v=9

a=5695,b=1368,c=5857

alpha/2 = 67 / 85
= 7872 mod 8689

(1124, 2725i) 724=1 mod 8689

5857

76, 10u=76, v=11

a=5655,b=1672,c=5897

alpha/2 = 65 / 87
= 8490 mod 8689

(2858, 3958i) 2172=1 mod 8689

5897

76, 12u=76, v=13 → 56, 53 → 77, 4

a=5607,b=1976,c=5945

alpha/2 = 63 / 89
= 977 mod 8689

(1394, 3212i) 1086=1 mod 8689

5*29*41 = 5945

76, 14u=76, v=15 → 60, 49

a=5551,b=2280,c=6001

alpha/2 = 61 / 91
= 6780 mod 8689

(2561, 3822i) 724=1 mod 8689

17*353 = 6001

76, 16u=76, v=17 → 71, 32

a=5487,b=2584,c=6065

alpha/2 = 59 / 93
= 4859 mod 8689

(1171, 1405i) 4344=1 mod 8689

5*1213 = 6065

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

a=5335,b=3192,c=6217

alpha/2 = 55 / 97
= 2240 mod 8689

(3120, 3605i) 1448=1 mod 8689

6217

76, 22u=76, v=23 → 64, 47 → 79, 8

a=5247,b=3496,c=6305

alpha/2 = 53 / 99
= 8514 mod 8689

(589, 1194i) 1086=1 mod 8689

5*13*97 = 6305

76, 24u=76, v=25 → 80, 1

a=5151,b=3800,c=6401

alpha/2 = 51 / 101
= 7227 mod 8689

(237, 1065i) 2172=1 mod 8689

37*173 = 6401

76, 26u=76, v=27 → 77, 24

a=5047,b=4104,c=6505

alpha/2 = 49 / 103
= 3881 mod 8689

(2198, 2648i) 4344=1 mod 8689

5*1301 = 6505

76, 28u=76, v=29 → 59, 56

a=4935,b=4408,c=6617

alpha/2 = 47 / 105
= 1821 mod 8689

(434, 1436i) 1448=1 mod 8689

13*509 = 6617

76, 30u=76, v=31

a=4815,b=4712,c=6737

alpha/2 = 45 / 107
= 2599 mod 8689

(1961, 2286i) 181=1 mod 8689

6737

76, 32u=76, v=33 → 72, 41

a=4687,b=5016,c=6865

alpha/2 = 43 / 109
= 2073 mod 8689

(2175, 2889i) 362=1 mod 8689

5*1373 = 6865

76, 34u=76, v=35

a=4551,b=5320,c=7001

alpha/2 = 41 / 111
= 1018 mod 8689

(1557, 3627i) 4344=1 mod 8689

7001

76, 36u=76, v=37 → 83, 16

a=4407,b=5624,c=7145

alpha/2 = 39 / 113
= 6767 mod 8689

(1134, 1392i) 362=1 mod 8689

5*1429 = 7145

76, 38u=76, v=39

a=4255,b=5928,c=7297

alpha/2 = 37 / 115
= 907 mod 8689

(3405, 3741i) 4344=1 mod 8689

7297

76, 40u=76, v=41

a=4095,b=6232,c=7457

alpha/2 = 35 / 117
= 7204 mod 8689

(441, 3211i) 4344=1 mod 8689

7457

76, 42u=76, v=43 → 67, 56

a=3927,b=6536,c=7625

alpha/2 = 33 / 119
= 3140 mod 8689

(3712, 3730i) 1086=1 mod 8689

5*5*5*61 = 7625

76, 44u=76, v=45 → 85, 24

a=3751,b=6840,c=7801

alpha/2 = 31 / 121
= 5386 mod 8689

(1871, 3352i) 4344=1 mod 8689

29*269 = 7801

76, 46u=76, v=47 → 89, 8

a=3567,b=7144,c=7985

alpha/2 = 29 / 123
= 2614 mod 8689

(3466, 3572i) 1448=1 mod 8689

5*1597 = 7985

76, 48u=76, v=49 → 71, 56 → 89, 16

a=3375,b=7448,c=8177

alpha/2 = 27 / 125
= 7438 mod 8689

(2565, 3825i) 2172=1 mod 8689

13*17*37 = 8177

76, 50u=76, v=51

a=3175,b=7752,c=8377

alpha/2 = 25 / 127
= 5542 mod 8689

(1152, 2030i) 4344=1 mod 8689

8377

76, 52u=76, v=53 → 67, 64 → 92, 11

a=2967,b=8056,c=8585

alpha/2 = 23 / 129
= 4311 mod 8689

(2751, 3454i) 4344=1 mod 8689

5*17*101 = 8585

76, 54u=76, v=55 → 80, 49

a=2751,b=8360,c=8801

alpha/2 = 21 / 131
= 6434 mod 8689

(546, 3826i) 2172=1 mod 8689

13*677 = 8801

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

a=2295,b=8968,c=9257

alpha/2 = 17 / 135
= 3347 mod 8689

(876, 3778i) 543=1 mod 8689

9257

76, 60u=76, v=61

a=2055,b=9272,c=9497

alpha/2 = 15 / 137
= 1332 mod 8689

(847, 1365i) 1448=1 mod 8689

9497

76, 62u=76, v=63 → 96, 23

a=1807,b=9576,c=9745

alpha/2 = 13 / 139
= 5251 mod 8689

(3413, 3743i) 4344=1 mod 8689

5*1949 = 9745

76, 64u=76, v=65

a=1551,b=9880,c=10001

alpha/2 = 11 / 141
= 5423 mod 8689

(1544, 2339i) 4344=1 mod 8689

73*137 = 10001

76, 66u=76, v=67

a=1287,b=10184,c=10265

alpha/2 = 9 / 143
= 5894 mod 8689

(2199, 3081i) 4344=1 mod 8689

5*2053 = 10265

76, 68u=76, v=69 → 84, 59

a=1015,b=10488,c=10537

alpha/2 = 7 / 145
= 1618 mod 8689

(3192, 3391i) 1448=1 mod 8689

41*257 = 10537

76, 70u=76, v=71

a=735,b=10792,c=10817

alpha/2 = 5 / 147
= 3783 mod 8689

(1867, 2487i) 724=1 mod 8689

29*373 = 10817

76, 72u=76, v=73

a=447,b=11096,c=11105

alpha/2 = 3 / 149
= 3324 mod 8689

(2220, 3046i) 1448=1 mod 8689

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
= 6675 mod 8689

(3772, 4053i) 1448=1 mod 8689

13*877 = 11401

77, 1u=77, v=2 → 67, 38

a=5925,b=308,c=5933

alpha/2 = 75 / 79
= 8250 mod 8689

(101, 455i) 724=1 mod 8689

17*349 = 5933

77, 3u=77, v=4 → 56, 53

a=5913,b=616,c=5945

alpha/2 = 73 / 81
= 7939 mod 8689

(305, 2837i) 2172=1 mod 8689

5*29*41 = 5945

77, 5u=77, v=6 → 58, 51

a=5893,b=924,c=5965

alpha/2 = 71 / 83
= 5968 mod 8689

(919, 4135i) 724=1 mod 8689

5*1193 = 5965

77, 7u=77, v=8 → 68, 37

a=5865,b=1232,c=5993

alpha/2 = 69 / 85
= 6032 mod 8689

(1316, 3635i) 1448=1 mod 8689

13*461 = 5993

77, 9u=77, v=10

a=5829,b=1540,c=6029

alpha/2 = 67 / 87
= 1399 mod 8689

(1961, 2286i) 181=1 mod 8689

6029

77, 11u=77, v=12

a=5785,b=1848,c=6073

alpha/2 = 65 / 89
= 6249 mod 8689

(479, 1994i) 181=1 mod 8689

6073

77, 1377, 1477, 15u=77, v=16 → 59, 52

a=5673,b=2464,c=6185

alpha/2 = 61 / 93
= 3551 mod 8689

(3219, 4054i) 181=1 mod 8689

5*1237 = 6185

77, 17u=77, v=18 → 67, 42

a=5605,b=2772,c=6253

alpha/2 = 59 / 95
= 4025 mod 8689

(900, 3851i) 1448=1 mod 8689

13*13*37 = 6253

77, 19u=77, v=20

a=5529,b=3080,c=6329

alpha/2 = 57 / 97
= 6271 mod 8689

(2355, 3094i) 543=1 mod 8689

6329

77, 2177, 2277, 23u=77, v=24 → 76, 27

a=5353,b=3696,c=6505

alpha/2 = 53 / 101
= 1377 mod 8689

(3057, 4012i) 1448=1 mod 8689

5*1301 = 6505

77, 25u=77, v=26 → 67, 46

a=5253,b=4004,c=6605

alpha/2 = 51 / 103
= 5990 mod 8689

(482, 2433i) 181=1 mod 8689

5*1321 = 6605

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

a=5029,b=4620,c=6829

alpha/2 = 47 / 107
= 8121 mod 8689

(1964, 3361i) 543=1 mod 8689

6829

77, 31u=77, v=32 → 83, 8

a=4905,b=4928,c=6953

alpha/2 = 45 / 109
= 957 mod 8689

(1124, 2725i) 724=1 mod 8689

17*409 = 6953

77, 33u=77, v=34 → 61, 58 → 83, 14

a=4773,b=5236,c=7085

alpha/2 = 43 / 111
= 2975 mod 8689

(1406, 3442i) 4344=1 mod 8689

5*13*109 = 7085

77, 35u=77, v=36 → 84, 13

a=4633,b=5544,c=7225

alpha/2 = 41 / 113
= 8228 mod 8689

(567, 716i) 181=1 mod 8689

5*5*17*17 = 7225

77, 37u=77, v=38 → 83, 22

a=4485,b=5852,c=7373

alpha/2 = 39 / 115
= 8236 mod 8689

(3595, 3693i) 1448=1 mod 8689

73*101 = 7373

77, 39u=77, v=40

a=4329,b=6160,c=7529

alpha/2 = 37 / 117
= 2154 mod 8689

(603, 4200i) 4344=1 mod 8689

7529

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

a=3813,b=7084,c=8045

alpha/2 = 31 / 123
= 4592 mod 8689

(11, 2475i) 2172=1 mod 8689

5*1609 = 8045

77, 47u=77, v=48

a=3625,b=7392,c=8233

alpha/2 = 29 / 125
= 4449 mod 8689

(2755, 3185i) 2172=1 mod 8689

8233

77, 49u=77, v=50

a=3429,b=7700,c=8429

alpha/2 = 27 / 127
= 3900 mod 8689

(698, 1357i) 4344=1 mod 8689

8429

77, 51u=77, v=52 → 92, 13

a=3225,b=8008,c=8633

alpha/2 = 25 / 129
= 6197 mod 8689

(143, 2385i) 724=1 mod 8689

89*97 = 8633

77, 53u=77, v=54 → 67, 66 → 94, 3

a=3013,b=8316,c=8845

alpha/2 = 23 / 131
= 6633 mod 8689

(632, 3957i) 1448=1 mod 8689

5*29*61 = 8845

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

a=2565,b=8932,c=9293

alpha/2 = 19 / 135
= 4763 mod 8689

(1161, 3640i) 4344=1 mod 8689

9293

77, 59u=77, v=60 → 85, 48

a=2329,b=9240,c=9529

alpha/2 = 17 / 137
= 6723 mod 8689

(11, 2475i) 2172=1 mod 8689

13*733 = 9529

77, 61u=77, v=62 → 98, 13

a=2085,b=9548,c=9773

alpha/2 = 15 / 139
= 8064 mod 8689

(618, 4130i) 362=1 mod 8689

29*337 = 9773

77, 63u=77, v=64 → 83, 56

a=1833,b=9856,c=10025

alpha/2 = 13 / 141
= 6409 mod 8689

(1514, 2386i) 1448=1 mod 8689

5*5*401 = 10025

77, 6577, 6677, 67u=77, v=68 → 88, 53

a=1305,b=10472,c=10553

alpha/2 = 9 / 145
= 839 mod 8689

(630, 1460i) 4344=1 mod 8689

61*173 = 10553

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

a=745,b=11088,c=11113

alpha/2 = 5 / 149
= 5540 mod 8689

(3696, 4134i) 4344=1 mod 8689

11113

77, 73u=77, v=74

a=453,b=11396,c=11405

alpha/2 = 3 / 151
= 2647 mod 8689

(131, 802i) 1448=1 mod 8689

5*2281 = 11405

77, 75u=77, v=76 f(u,76)=u2+5776;↓

a=153,b=11704,c=11705

alpha/2 = 1 / 153
= 6247 mod 8689

(3777, 4283i) 362=1 mod 8689

5*2341 = 11705

u=78, v=1 f(78,v)=6084+v2;→ → 63, 46

a=6083,b=156,c=6085

alpha/2 = 77 / 79
= 8470 mod 8689

(1287, 3804i) 1086=1 mod 8689

5*1217 = 6085

78, 278, 378, 4u=78, v=5 → 75, 22

a=6059,b=780,c=6109

alpha/2 = 73 / 83
= 629 mod 8689

(1986, 2021i) 4344=1 mod 8689

41*149 = 6109

78, 6u=78, v=7

a=6035,b=1092,c=6133

alpha/2 = 71 / 85
= 4192 mod 8689

(239, 2652i) 2172=1 mod 8689

6133

78, 878, 978, 10u=78, v=11 → 66, 43

a=5963,b=1716,c=6205

alpha/2 = 67 / 89
= 2832 mod 8689

(2939, 3646i) 181=1 mod 8689

5*17*73 = 6205

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

a=5795,b=2652,c=6373

alpha/2 = 61 / 95
= 2836 mod 8689

(314, 1627i) 2172=1 mod 8689

6373

78, 18u=78, v=19 → 62, 51

a=5723,b=2964,c=6445

alpha/2 = 59 / 97
= 1613 mod 8689

(1434, 1767i) 1448=1 mod 8689

5*1289 = 6445

78, 2078, 2178, 22u=78, v=23 → 58, 57

a=5555,b=3588,c=6613

alpha/2 = 55 / 101
= 4216 mod 8689

(1299, 2513i) 4344=1 mod 8689

17*389 = 6613

78, 24u=78, v=25

a=5459,b=3900,c=6709

alpha/2 = 53 / 103
= 8099 mod 8689

(1271, 2635i) 4344=1 mod 8689

6709

78, 2678, 2778, 28u=78, v=29 → 83, 6

a=5243,b=4524,c=6925

alpha/2 = 49 / 107
= 4954 mod 8689

(239, 2652i) 2172=1 mod 8689

5*5*277 = 6925

78, 30u=78, v=31 → 81, 22

a=5123,b=4836,c=7045

alpha/2 = 47 / 109
= 8530 mod 8689

(3797, 4183i) 4344=1 mod 8689

5*1409 = 7045

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

a=4859,b=5460,c=7309

alpha/2 = 43 / 113
= 1000 mod 8689

(3088, 3404i) 2172=1 mod 8689

7309

78, 36u=78, v=37 → 82, 27

a=4715,b=5772,c=7453

alpha/2 = 41 / 115
= 6876 mod 8689

(517, 1092i) 1448=1 mod 8689

29*257 = 7453

78, 3878, 3978, 40u=78, v=41 → 87, 14

a=4403,b=6396,c=7765

alpha/2 = 37 / 119
= 2994 mod 8689

(3484, 4295i) 4344=1 mod 8689

5*1553 = 7765

78, 42u=78, v=43

a=4235,b=6708,c=7933

alpha/2 = 35 / 121
= 8043 mod 8689

(1526, 3293i) 1086=1 mod 8689

7933

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

a=3875,b=7332,c=8293

alpha/2 = 31 / 125
= 1460 mod 8689

(1298, 2338i) 1448=1 mod 8689

8293

78, 48u=78, v=49 → 86, 33

a=3683,b=7644,c=8485

alpha/2 = 29 / 127
= 2258 mod 8689

(1594, 2007i) 2172=1 mod 8689

5*1697 = 8485

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

a=3275,b=8268,c=8893

alpha/2 = 25 / 131
= 6832 mod 8689

(1592, 2085i) 181=1 mod 8689

8893

78, 54u=78, v=55

a=3059,b=8580,c=9109

alpha/2 = 23 / 133
= 4508 mod 8689

(1021, 2503i) 181=1 mod 8689

9109

78, 5678, 5778, 58u=78, v=59 → 94, 27

a=2603,b=9204,c=9565

alpha/2 = 19 / 137
= 3425 mod 8689

(489, 2153i) 2172=1 mod 8689

5*1913 = 9565

78, 60u=78, v=61 → 99, 2

a=2363,b=9516,c=9805

alpha/2 = 17 / 139
= 2188 mod 8689

(2718, 2793i) 181=1 mod 8689

5*37*53 = 9805

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

a=1595,b=10452,c=10573

alpha/2 = 11 / 145
= 60 mod 8689

(2828, 4101i) 4344=1 mod 8689

97*109 = 10573

78, 6878, 6978, 70u=78, v=71 → 98, 39

a=1043,b=11076,c=11125

alpha/2 = 7 / 149
= 7756 mod 8689

(775, 2821i) 4344=1 mod 8689

5*5*5*89 = 11125

78, 72u=78, v=73 → 87, 62

a=755,b=11388,c=11413

alpha/2 = 5 / 151
= 7308 mod 8689

(2186, 3525i) 2172=1 mod 8689

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
= 4821 mod 8689

(2945, 3887i) 1086=1 mod 8689

41*293 = 12013

79, 1u=79, v=2 → 62, 49

a=6237,b=316,c=6245

alpha/2 = 77 / 81
= 3970 mod 8689

(1038, 2445i) 1086=1 mod 8689

5*1249 = 6245

79, 3u=79, v=4

a=6225,b=632,c=6257

alpha/2 = 75 / 83
= 3979 mod 8689

(344, 4087i) 2172=1 mod 8689

6257

79, 5u=79, v=6

a=6205,b=948,c=6277

alpha/2 = 73 / 85
= 2352 mod 8689

(3285, 4151i) 4344=1 mod 8689

6277

79, 7u=79, v=8 → 64, 47

a=6177,b=1264,c=6305

alpha/2 = 71 / 87
= 4595 mod 8689

(176, 642i) 2172=1 mod 8689

5*13*97 = 6305

79, 9u=79, v=10 → 65, 46

a=6141,b=1580,c=6341

alpha/2 = 69 / 89
= 8104 mod 8689

(1955, 3272i) 4344=1 mod 8689

17*373 = 6341

79, 11u=79, v=12 → 57, 56

a=6097,b=1896,c=6385

alpha/2 = 67 / 91
= 7162 mod 8689

(1085, 2805i) 1086=1 mod 8689

5*1277 = 6385

79, 13u=79, v=14 → 74, 31

a=6045,b=2212,c=6437

alpha/2 = 65 / 93
= 935 mod 8689

(1928, 4058i) 2172=1 mod 8689

41*157 = 6437

79, 15u=79, v=16 → 64, 49

a=5985,b=2528,c=6497

alpha/2 = 63 / 95
= 1647 mod 8689

(128, 633i) 4344=1 mod 8689

73*89 = 6497

79, 17u=79, v=18 → 66, 47 → 81, 2

a=5917,b=2844,c=6565

alpha/2 = 61 / 97
= 5644 mod 8689

(2355, 3094i) 543=1 mod 8689

5*13*101 = 6565

79, 19u=79, v=20 → 71, 40

a=5841,b=3160,c=6641

alpha/2 = 59 / 99
= 3248 mod 8689

(2001, 3124i) 2172=1 mod 8689

29*229 = 6641

79, 21u=79, v=22 → 82, 1

a=5757,b=3476,c=6725

alpha/2 = 57 / 101
= 7055 mod 8689

(3219, 4054i) 181=1 mod 8689

5*5*269 = 6725

79, 23u=79, v=24 → 81, 16

a=5665,b=3792,c=6817

alpha/2 = 55 / 103
= 1519 mod 8689

(670, 1116i) 1448=1 mod 8689

17*401 = 6817

79, 25u=79, v=26

a=5565,b=4108,c=6917

alpha/2 = 53 / 105
= 8524 mod 8689

(1238, 4258i) 1086=1 mod 8689

6917

79, 27u=79, v=28 → 68, 49

a=5457,b=4424,c=7025

alpha/2 = 51 / 107
= 1787 mod 8689

(1840, 3637i) 4344=1 mod 8689

5*5*281 = 7025

79, 29u=79, v=30 → 65, 54

a=5341,b=4740,c=7141

alpha/2 = 49 / 109
= 7414 mod 8689

(1142, 2427i) 4344=1 mod 8689

37*193 = 7141

79, 31u=79, v=32 → 73, 44

a=5217,b=5056,c=7265

alpha/2 = 47 / 111
= 6889 mod 8689

(1168, 1462i) 1448=1 mod 8689

5*1453 = 7265

79, 33u=79, v=34 → 86, 1

a=5085,b=5372,c=7397

alpha/2 = 45 / 113
= 2461 mod 8689

(3204, 4120i) 543=1 mod 8689

13*569 = 7397

79, 35u=79, v=36

a=4945,b=5688,c=7537

alpha/2 = 43 / 115
= 5516 mod 8689

(548, 2169i) 2172=1 mod 8689

7537

79, 37u=79, v=38 → 74, 47 → 86, 17

a=4797,b=6004,c=7685

alpha/2 = 41 / 117
= 743 mod 8689

(1727, 2810i) 2172=1 mod 8689

5*29*53 = 7685

79, 39u=79, v=40

a=4641,b=6320,c=7841

alpha/2 = 39 / 119
= 2921 mod 8689

(651, 1319i) 1448=1 mod 8689

7841

79, 41u=79, v=42 → 81, 38

a=4477,b=6636,c=8005

alpha/2 = 37 / 121
= 5027 mod 8689

(1972, 4122i) 1086=1 mod 8689

5*1601 = 8005

79, 43u=79, v=44 → 71, 56 → 89, 16

a=4305,b=6952,c=8177

alpha/2 = 35 / 123
= 8548 mod 8689

(1507, 3810i) 724=1 mod 8689

13*17*37 = 8177

79, 45u=79, v=46 → 86, 31

a=4125,b=7268,c=8357

alpha/2 = 33 / 125
= 7160 mod 8689

(405, 2325i) 1448=1 mod 8689

61*137 = 8357

79, 47u=79, v=48 → 92, 9

a=3937,b=7584,c=8545

alpha/2 = 31 / 127
= 616 mod 8689

(33, 2949i) 181=1 mod 8689

5*1709 = 8545

79, 49u=79, v=50

a=3741,b=7900,c=8741

alpha/2 = 29 / 129
= 1280 mod 8689

(1910, 3190i) 1448=1 mod 8689

8741

79, 51u=79, v=52 → 89, 32

a=3537,b=8216,c=8945

alpha/2 = 27 / 131
= 7031 mod 8689

(1066, 3562i) 1086=1 mod 8689

5*1789 = 8945

79, 53u=79, v=54

a=3325,b=8532,c=9157

alpha/2 = 25 / 133
= 4900 mod 8689

(1355, 2685i) 1448=1 mod 8689

9157

79, 55u=79, v=56

a=3105,b=8848,c=9377

alpha/2 = 23 / 135
= 7595 mod 8689

(417, 3225i) 4344=1 mod 8689

9377

79, 57u=79, v=58 → 98, 1

a=2877,b=9164,c=9605

alpha/2 = 21 / 137
= 127 mod 8689

(3105, 3329i) 4344=1 mod 8689

5*17*113 = 9605

79, 59u=79, v=60 → 96, 25

a=2641,b=9480,c=9841

alpha/2 = 19 / 139
= 5001 mod 8689

(1983, 2167i) 2172=1 mod 8689

13*757 = 9841

79, 61u=79, v=62 → 97, 26

a=2397,b=9796,c=10085

alpha/2 = 17 / 141
= 8381 mod 8689

(851, 1437i) 1086=1 mod 8689

5*2017 = 10085

79, 63u=79, v=64

a=2145,b=10112,c=10337

alpha/2 = 15 / 143
= 6927 mod 8689

(1185, 2609i) 4344=1 mod 8689

10337

79, 65u=79, v=66

a=1885,b=10428,c=10597

alpha/2 = 13 / 145
= 7970 mod 8689

(388, 1643i) 1448=1 mod 8689

10597

79, 67u=79, v=68 → 92, 49

a=1617,b=10744,c=10865

alpha/2 = 11 / 147
= 4847 mod 8689

(548, 2169i) 2172=1 mod 8689

5*41*53 = 10865

79, 69u=79, v=70 → 95, 46

a=1341,b=11060,c=11141

alpha/2 = 9 / 149
= 1283 mod 8689

(890, 3610i) 4344=1 mod 8689

13*857 = 11141

79, 71u=79, v=72 → 96, 47

a=1057,b=11376,c=11425

alpha/2 = 7 / 151
= 3280 mod 8689

(3204, 4120i) 543=1 mod 8689

5*5*457 = 11425

79, 73u=79, v=74

a=765,b=11692,c=11717

alpha/2 = 5 / 153
= 5168 mod 8689

(1644, 1649i) 4344=1 mod 8689

11717

79, 75u=79, v=76 → 89, 64

a=465,b=12008,c=12017

alpha/2 = 3 / 155
= 5774 mod 8689

(3074, 3423i) 4344=1 mod 8689

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
= 6918 mod 8689

(1895, 2090i) 1448=1 mod 8689

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
= 6330 mod 8689

(4071, 4186i) 543=1 mod 8689

37*173 = 6401

80, 2u=80, v=3 → 60, 53

a=6391,b=480,c=6409

alpha/2 = 77 / 83
= 7329 mod 8689

(1531, 3201i) 2172=1 mod 8689

13*17*29 = 6409

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

a=6351,b=1120,c=6449

alpha/2 = 73 / 87
= 6193 mod 8689

(1248, 4344i) 6=1 mod 8689

6449

80, 8u=80, v=9

a=6319,b=1440,c=6481

alpha/2 = 71 / 89
= 4687 mod 8689

(1134, 1392i) 362=1 mod 8689

6481

80, 10u=80, v=11

a=6279,b=1760,c=6521

alpha/2 = 69 / 91
= 4393 mod 8689

(97, 4033i) 543=1 mod 8689

6521

80, 12u=80, v=13

a=6231,b=2080,c=6569

alpha/2 = 67 / 93
= 8316 mod 8689

(2780, 2950i) 1448=1 mod 8689

6569

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

a=6111,b=2720,c=6689

alpha/2 = 63 / 97
= 986 mod 8689

(2084, 3483i) 181=1 mod 8689

6689

80, 18u=80, v=19

a=6039,b=3040,c=6761

alpha/2 = 61 / 99
= 4389 mod 8689

(2958, 3093i) 1448=1 mod 8689

6761

80, 20u=80, v=21

a=5959,b=3360,c=6841

alpha/2 = 59 / 101
= 1205 mod 8689

(196, 1578i) 4344=1 mod 8689

6841

80, 22u=80, v=23 → 73, 40

a=5871,b=3680,c=6929

alpha/2 = 57 / 103
= 3628 mod 8689

(792, 2378i) 4344=1 mod 8689

13*13*41 = 6929

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

a=5671,b=4320,c=7129

alpha/2 = 53 / 107
= 7309 mod 8689

(232, 1334i) 4344=1 mod 8689

7129

80, 28u=80, v=29 → 85, 4

a=5559,b=4640,c=7241

alpha/2 = 51 / 109
= 6298 mod 8689

(1402, 1773i) 1086=1 mod 8689

13*557 = 7241

80, 30u=80, v=31 → 65, 56

a=5439,b=4960,c=7361

alpha/2 = 49 / 111
= 157 mod 8689

(1895, 2090i) 1448=1 mod 8689

17*433 = 7361

80, 32u=80, v=33

a=5311,b=5280,c=7489

alpha/2 = 47 / 113
= 3922 mod 8689

(2908, 3480i) 2172=1 mod 8689

7489

80, 3480, 3580, 36u=80, v=37 → 88, 5

a=5031,b=5920,c=7769

alpha/2 = 43 / 117
= 4382 mod 8689

(762, 1874i) 2172=1 mod 8689

17*457 = 7769

80, 38u=80, v=39

a=4879,b=6240,c=7921

alpha/2 = 41 / 119
= 2848 mod 8689

(1078, 2914i) 2172=1 mod 8689

89*89 = 7921

80, 40u=80, v=41

a=4719,b=6560,c=8081

alpha/2 = 39 / 121
= 2011 mod 8689

(1394, 3212i) 1086=1 mod 8689

8081

80, 42u=80, v=43 → 85, 32

a=4551,b=6880,c=8249

alpha/2 = 37 / 123
= 1837 mod 8689

(820, 3144i) 4344=1 mod 8689

73*113 = 8249

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

a=4191,b=7520,c=8609

alpha/2 = 33 / 127
= 7663 mod 8689

(94, 161i) 362=1 mod 8689

8609

80, 48u=80, v=49 → 76, 55

a=3999,b=7840,c=8801

alpha/2 = 31 / 129
= 3166 mod 8689

(70, 1128i) 543=1 mod 8689

13*677 = 8801

80, 50u=80, v=51

a=3799,b=8160,c=9001

alpha/2 = 29 / 131
= 7230 mod 8689

(1154, 1979i) 4344=1 mod 8689

9001

80, 52u=80, v=53

a=3591,b=8480,c=9209

alpha/2 = 27 / 133
= 5292 mod 8689

(692, 3994i) 4344=1 mod 8689

9209

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

a=3151,b=9120,c=9649

alpha/2 = 23 / 137
= 5518 mod 8689

(2884, 4335i) 2172=1 mod 8689

9649

80, 58u=80, v=59 → 91, 40

a=2919,b=9440,c=9881

alpha/2 = 21 / 139
= 7814 mod 8689

(243, 4090i) 362=1 mod 8689

41*241 = 9881

80, 60u=80, v=61

a=2679,b=9760,c=10121

alpha/2 = 19 / 141
= 678 mod 8689

(3696, 4134i) 4344=1 mod 8689

29*349 = 10121

80, 62u=80, v=63

a=2431,b=10080,c=10369

alpha/2 = 17 / 143
= 4375 mod 8689

(6, 4131i) 724=1 mod 8689

10369

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

a=1911,b=10720,c=10889

alpha/2 = 13 / 147
= 8098 mod 8689

(1101, 1575i) 4344=1 mod 8689

10889

80, 68u=80, v=69

a=1639,b=11040,c=11161

alpha/2 = 11 / 149
= 3499 mod 8689

(1514, 2386i) 1448=1 mod 8689

11161

80, 70u=80, v=71

a=1359,b=11360,c=11441

alpha/2 = 9 / 151
= 7941 mod 8689

(1014, 2530i) 1448=1 mod 8689

17*673 = 11441

80, 72u=80, v=73 → 95, 52

a=1071,b=11680,c=11729

alpha/2 = 7 / 153
= 284 mod 8689

(3198, 4112i) 362=1 mod 8689

37*317 = 11729

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

a=471,b=12320,c=12329

alpha/2 = 3 / 157
= 3376 mod 8689

(98, 665i) 4344=1 mod 8689

12329

80, 78u=80, v=79 f(u,79)=u2+6241;↓

a=159,b=12640,c=12641

alpha/2 = 1 / 159
= 3880 mod 8689

(3797, 4183i) 4344=1 mod 8689

12641

81, 1u=81, v=2 → 66, 47

a=6557,b=324,c=6565

alpha/2 = 79 / 83
= 1990 mod 8689

(361, 2798i) 2172=1 mod 8689

5*13*101 = 6565

81, 3u=81, v=4

a=6545,b=648,c=6577

alpha/2 = 77 / 85
= 7361 mod 8689

(494, 3029i) 1448=1 mod 8689

6577

81, 581, 681, 7u=81, v=8 → 73, 36

a=6497,b=1296,c=6625

alpha/2 = 73 / 89
= 1270 mod 8689

(1144, 1818i) 1448=1 mod 8689

5*5*5*53 = 6625

81, 9u=81, v=10

a=6461,b=1620,c=6661

alpha/2 = 71 / 91
= 1624 mod 8689

(719, 3735i) 543=1 mod 8689

6661

81, 1181, 1281, 13u=81, v=14 → 66, 49

a=6365,b=2268,c=6757

alpha/2 = 67 / 95
= 7958 mod 8689

(1384, 3779i) 1086=1 mod 8689

29*233 = 6757

81, 15u=81, v=16 → 79, 24

a=6305,b=2592,c=6817

alpha/2 = 65 / 97
= 5017 mod 8689

(667, 2598i) 4344=1 mod 8689

17*401 = 6817

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

a=6161,b=3240,c=6961

alpha/2 = 61 / 101
= 4044 mod 8689

(806, 1088i) 2172=1 mod 8689

6961

81, 21u=81, v=22 → 78, 31

a=6077,b=3564,c=7045

alpha/2 = 59 / 103
= 5737 mod 8689

(213, 3169i) 1448=1 mod 8689

5*1409 = 7045

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

a=5885,b=4212,c=7237

alpha/2 = 55 / 107
= 4142 mod 8689

(721, 1913i) 1086=1 mod 8689

7237

81, 27u=81, v=28 → 64, 57 → 84, 17

a=5777,b=4536,c=7345

alpha/2 = 53 / 109
= 5182 mod 8689

(1446, 3255i) 2172=1 mod 8689

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
= 5383 mod 8689

(249, 2262i) 543=1 mod 8689

5*37*41 = 7585

81, 33u=81, v=34

a=5405,b=5508,c=7717

alpha/2 = 47 / 115
= 2796 mod 8689

(2902, 4330i) 724=1 mod 8689

7717

81, 3581, 3681, 37u=81, v=38 → 79, 42

a=5117,b=6156,c=8005

alpha/2 = 43 / 119
= 2775 mod 8689

(9, 3867i) 181=1 mod 8689

5*1601 = 8005

81, 39u=81, v=40

a=4961,b=6480,c=8161

alpha/2 = 41 / 121
= 7684 mod 8689

(2382, 3430i) 4344=1 mod 8689

8161

81, 4181, 4281, 43u=81, v=44 → 89, 24

a=4625,b=7128,c=8497

alpha/2 = 37 / 125
= 1182 mod 8689

(1049, 1427i) 2172=1 mod 8689

29*293 = 8497

81, 45u=81, v=46

a=4445,b=7452,c=8677

alpha/2 = 35 / 127
= 6021 mod 8689

(621, 3250i) 724=1 mod 8689

8677

81, 4781, 4881, 49u=81, v=50 → 95, 6

a=4061,b=8100,c=9061

alpha/2 = 31 / 131
= 7429 mod 8689

(735, 3622i) 2172=1 mod 8689

13*17*41 = 9061

81, 51u=81, v=52 → 96, 7

a=3857,b=8424,c=9265

alpha/2 = 29 / 133
= 5684 mod 8689

(2422, 3273i) 1086=1 mod 8689

5*17*109 = 9265

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

a=3425,b=9072,c=9697

alpha/2 = 25 / 137
= 2220 mod 8689

(9, 3867i) 181=1 mod 8689

9697

81, 57u=81, v=58 → 94, 33

a=3197,b=9396,c=9925

alpha/2 = 23 / 139
= 1938 mod 8689

(370, 4126i) 1448=1 mod 8689

5*5*397 = 9925

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

a=2717,b=10044,c=10405

alpha/2 = 19 / 143
= 1823 mod 8689

(735, 3622i) 2172=1 mod 8689

5*2081 = 10405

81, 63u=81, v=64

a=2465,b=10368,c=10657

alpha/2 = 17 / 145
= 6412 mod 8689

(2114, 2405i) 4344=1 mod 8689

10657

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

a=1937,b=11016,c=11185

alpha/2 = 13 / 149
= 5715 mod 8689

(1583, 4119i) 1448=1 mod 8689

5*2237 = 11185

81, 69u=81, v=70

a=1661,b=11340,c=11461

alpha/2 = 11 / 151
= 3913 mod 8689

(173, 794i) 4344=1 mod 8689

73*157 = 11461

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

a=1085,b=11988,c=12037

alpha/2 = 7 / 155
= 7680 mod 8689

(557, 3781i) 2172=1 mod 8689

12037

81, 75u=81, v=76

a=785,b=12312,c=12337

alpha/2 = 5 / 157
= 8523 mod 8689

(1446, 3255i) 2172=1 mod 8689

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
= 6962 mod 8689

(778, 3773i) 4344=1 mod 8689

13*997 = 12961

u=82, v=1 f(82,v)=6724+v2;→ → 79, 22

a=6723,b=164,c=6725

alpha/2 = 81 / 83
= 5340 mod 8689

(938, 1284i) 543=1 mod 8689

5*5*269 = 6725

82, 2u=82, v=3

a=6715,b=492,c=6733

alpha/2 = 79 / 85
= 5521 mod 8689

(1173, 2693i) 1448=1 mod 8689

6733

82, 4u=82, v=5 → 70, 43

a=6699,b=820,c=6749

alpha/2 = 77 / 87
= 700 mod 8689

(90, 1477i) 4344=1 mod 8689

17*397 = 6749

82, 6u=82, v=7 → 73, 38

a=6675,b=1148,c=6773

alpha/2 = 75 / 89
= 6542 mod 8689

(2729, 2776i) 4344=1 mod 8689

13*521 = 6773

82, 8u=82, v=9 → 71, 42

a=6643,b=1476,c=6805

alpha/2 = 73 / 91
= 7544 mod 8689

(608, 2185i) 4344=1 mod 8689

5*1361 = 6805

82, 10u=82, v=11 → 59, 58

a=6603,b=1804,c=6845

alpha/2 = 71 / 93
= 5700 mod 8689

(576, 1243i) 181=1 mod 8689

5*37*37 = 6845

82, 12u=82, v=13 → 83, 2

a=6555,b=2132,c=6893

alpha/2 = 69 / 95
= 6769 mod 8689

(889, 2933i) 4344=1 mod 8689

61*113 = 6893

82, 14u=82, v=15

a=6499,b=2460,c=6949

alpha/2 = 67 / 97
= 359 mod 8689

(2698, 3744i) 4344=1 mod 8689

6949

82, 16u=82, v=17

a=6435,b=2788,c=7013

alpha/2 = 65 / 99
= 6671 mod 8689

(686, 779i) 4344=1 mod 8689

7013

82, 18u=82, v=19 → 61, 58 → 83, 14

a=6363,b=3116,c=7085

alpha/2 = 63 / 101
= 6883 mod 8689

(3595, 3693i) 1448=1 mod 8689

5*13*109 = 7085

82, 20u=82, v=21 → 66, 53

a=6283,b=3444,c=7165

alpha/2 = 61 / 103
= 7846 mod 8689

(1024, 3864i) 1448=1 mod 8689

5*1433 = 7165

82, 22u=82, v=23

a=6195,b=3772,c=7253

alpha/2 = 59 / 105
= 6538 mod 8689

(191, 4080i) 2172=1 mod 8689

7253

82, 24u=82, v=25

a=6099,b=4100,c=7349

alpha/2 = 57 / 107
= 975 mod 8689

(386, 3698i) 4344=1 mod 8689

7349

82, 26u=82, v=27 → 78, 37

a=5995,b=4428,c=7453

alpha/2 = 55 / 109
= 4066 mod 8689

(40, 2450i) 1448=1 mod 8689

29*257 = 7453

82, 28u=82, v=29 → 62, 61 → 86, 13

a=5883,b=4756,c=7565

alpha/2 = 53 / 111
= 4071 mod 8689

(791, 3459i) 4344=1 mod 8689

5*17*89 = 7565

82, 30u=82, v=31 → 74, 47 → 86, 17

a=5763,b=5084,c=7685

alpha/2 = 51 / 113
= 6844 mod 8689

(1459, 3580i) 543=1 mod 8689

5*29*53 = 7685

82, 32u=82, v=33 → 63, 62

a=5635,b=5412,c=7813

alpha/2 = 49 / 115
= 1436 mod 8689

(63, 3577i) 2172=1 mod 8689

13*601 = 7813

82, 34u=82, v=35

a=5499,b=5740,c=7949

alpha/2 = 47 / 117
= 2971 mod 8689

(3166, 4000i) 1448=1 mod 8689

7949

82, 36u=82, v=37

a=5355,b=6068,c=8093

alpha/2 = 45 / 119
= 2702 mod 8689

(2484, 3859i) 1086=1 mod 8689

8093

82, 38u=82, v=39 → 73, 54 → 89, 18

a=5203,b=6396,c=8245

alpha/2 = 43 / 121
= 4668 mod 8689

(3413, 3743i) 4344=1 mod 8689

5*17*97 = 8245

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

a=4875,b=7052,c=8573

alpha/2 = 39 / 125
= 6882 mod 8689

(3057, 4012i) 1448=1 mod 8689

8573

82, 44u=82, v=45 → 93, 10

a=4699,b=7380,c=8749

alpha/2 = 37 / 127
= 4379 mod 8689

(123, 4278i) 2172=1 mod 8689

13*673 = 8749

82, 46u=82, v=47

a=4515,b=7708,c=8933

alpha/2 = 35 / 129
= 6938 mod 8689

(339, 2738i) 2172=1 mod 8689

8933

82, 48u=82, v=49 → 94, 17

a=4323,b=8036,c=9125

alpha/2 = 33 / 131
= 7628 mod 8689

(141, 827i) 724=1 mod 8689

5*5*5*73 = 9125

82, 50u=82, v=51 → 93, 26

a=4123,b=8364,c=9325

alpha/2 = 31 / 133
= 6076 mod 8689

(2370, 2446i) 4344=1 mod 8689

5*5*373 = 9325

82, 52u=82, v=53

a=3915,b=8692,c=9533

alpha/2 = 29 / 135
= 3154 mod 8689

(628, 2774i) 4344=1 mod 8689

9533

82, 54u=82, v=55

a=3699,b=9020,c=9749

alpha/2 = 27 / 137
= 7611 mod 8689

(1484, 2054i) 1448=1 mod 8689

9749

82, 56u=82, v=57

a=3475,b=9348,c=9973

alpha/2 = 25 / 139
= 4751 mod 8689

(3772, 4053i) 1448=1 mod 8689

9973

82, 58u=82, v=59 → 94, 37

a=3243,b=9676,c=10205

alpha/2 = 23 / 141
= 2650 mod 8689

(2140, 2918i) 543=1 mod 8689

5*13*157 = 10205

82, 60u=82, v=61 → 98, 29

a=3003,b=10004,c=10445

alpha/2 = 21 / 143
= 7960 mod 8689

(165, 1360i) 1448=1 mod 8689

5*2089 = 10445

82, 62u=82, v=63 → 98, 33

a=2755,b=10332,c=10693

alpha/2 = 19 / 145
= 5633 mod 8689

(3405, 3741i) 4344=1 mod 8689

17*17*37 = 10693

82, 64u=82, v=65

a=2499,b=10660,c=10949

alpha/2 = 17 / 147
= 5911 mod 8689

(2348, 2696i) 1448=1 mod 8689

10949

82, 66u=82, v=67

a=2235,b=10988,c=11213

alpha/2 = 15 / 149
= 7931 mod 8689

(445, 803i) 4344=1 mod 8689

11213

82, 68u=82, v=69

a=1963,b=11316,c=11485

alpha/2 = 13 / 151
= 8574 mod 8689

(1152, 2030i) 4344=1 mod 8689

5*2297 = 11485

82, 70u=82, v=71 → 89, 62

a=1683,b=11644,c=11765

alpha/2 = 11 / 153
= 7894 mod 8689

(177, 896i) 4344=1 mod 8689

5*13*181 = 11765

82, 72u=82, v=73

a=1395,b=11972,c=12053

alpha/2 = 9 / 155
= 8633 mod 8689

(699, 4332i) 2172=1 mod 8689

17*709 = 12053

82, 74u=82, v=75

a=1099,b=12300,c=12349

alpha/2 = 7 / 157
= 4981 mod 8689

(2140, 2918i) 543=1 mod 8689

53*233 = 12349

82, 76u=82, v=77

a=795,b=12628,c=12653

alpha/2 = 5 / 159
= 2022 mod 8689

(55, 1748i) 181=1 mod 8689

12653

82, 78u=82, v=79

a=483,b=12956,c=12965

alpha/2 = 3 / 161
= 3508 mod 8689

(2847, 3614i) 1448=1 mod 8689

5*2593 = 12965

82, 80u=82, v=81 f(u,81)=u2+6561;↓

a=163,b=13284,c=13285

alpha/2 = 1 / 163
= 4691 mod 8689

(2055, 3905i) 543=1 mod 8689

5*2657 = 13285

83, 1u=83, v=2 → 82, 13

a=6885,b=332,c=6893

alpha/2 = 81 / 85
= 3681 mod 8689

(155, 2089i) 8=1 mod 8689

61*113 = 6893

83, 3u=83, v=4 → 64, 53

a=6873,b=664,c=6905

alpha/2 = 79 / 87
= 2298 mod 8689

(3663, 4324i) 1448=1 mod 8689

5*1381 = 6905

83, 5u=83, v=6 → 78, 29

a=6853,b=996,c=6925

alpha/2 = 77 / 89
= 3125 mod 8689

(237, 1065i) 2172=1 mod 8689

5*5*277 = 6925

83, 7u=83, v=8 → 77, 32

a=6825,b=1328,c=6953

alpha/2 = 75 / 91
= 4775 mod 8689

(2001, 3124i) 2172=1 mod 8689

17*409 = 6953

83, 9u=83, v=10 → 67, 50

a=6789,b=1660,c=6989

alpha/2 = 73 / 93
= 4392 mod 8689

(510, 1841i) 362=1 mod 8689

29*241 = 6989

83, 11u=83, v=12 → 72, 43

a=6745,b=1992,c=7033

alpha/2 = 71 / 95
= 5580 mod 8689

(1384, 3779i) 1086=1 mod 8689

13*541 = 7033

83, 13u=83, v=14 → 61, 58

a=6693,b=2324,c=7085

alpha/2 = 69 / 97
= 4390 mod 8689

(2840, 3184i) 4344=1 mod 8689

5*13*109 = 7085

83, 15u=83, v=16 → 76, 37

a=6633,b=2656,c=7145

alpha/2 = 67 / 99
= 7812 mod 8689

(719, 3735i) 543=1 mod 8689

5*1429 = 7145

83, 17u=83, v=18

a=6565,b=2988,c=7213

alpha/2 = 65 / 101
= 1033 mod 8689

(1273, 2969i) 1448=1 mod 8689

7213

83, 19u=83, v=20 → 85, 8

a=6489,b=3320,c=7289

alpha/2 = 63 / 103
= 1266 mod 8689

(2481, 4218i) 362=1 mod 8689

37*197 = 7289

83, 21u=83, v=22 → 77, 38

a=6405,b=3652,c=7373

alpha/2 = 61 / 105
= 5876 mod 8689

(1978, 2722i) 1448=1 mod 8689

73*101 = 7373

83, 23u=83, v=24 → 69, 52

a=6313,b=3984,c=7465

alpha/2 = 59 / 107
= 6497 mod 8689

(344, 4087i) 2172=1 mod 8689

5*1493 = 7465

83, 25u=83, v=26 → 62, 61 → 86, 13

a=6213,b=4316,c=7565

alpha/2 = 57 / 109
= 2950 mod 8689

(2847, 3614i) 1448=1 mod 8689

5*17*89 = 7565

83, 27u=83, v=28

a=6105,b=4648,c=7673

alpha/2 = 55 / 111
= 6028 mod 8689

(894, 4176i) 4344=1 mod 8689

7673

83, 29u=83, v=30

a=5989,b=4980,c=7789

alpha/2 = 53 / 113
= 8305 mod 8689

(3, 1153i) 2172=1 mod 8689

7789

83, 31u=83, v=32 → 88, 13

a=5865,b=5312,c=7913

alpha/2 = 51 / 115
= 76 mod 8689

(186, 3318i) 1448=1 mod 8689

41*193 = 7913

83, 33u=83, v=34 → 77, 46

a=5733,b=5644,c=8045

alpha/2 = 49 / 117
= 6610 mod 8689

(1030, 3877i) 2172=1 mod 8689

5*1609 = 8045

83, 35u=83, v=36 → 88, 21

a=5593,b=5976,c=8185

alpha/2 = 47 / 119
= 2629 mod 8689

(3712, 3730i) 1086=1 mod 8689

5*1637 = 8185

83, 37u=83, v=38 → 67, 62

a=5445,b=6308,c=8333

alpha/2 = 45 / 121
= 1652 mod 8689

(302, 3630i) 4344=1 mod 8689

13*641 = 8333

83, 39u=83, v=40 → 92, 5

a=5289,b=6640,c=8489

alpha/2 = 43 / 123
= 7771 mod 8689

(17, 1771i) 1086=1 mod 8689

13*653 = 8489

83, 41u=83, v=42 → 93, 2

a=5125,b=6972,c=8653

alpha/2 = 41 / 125
= 3893 mod 8689

(99, 3090i) 724=1 mod 8689

17*509 = 8653

83, 43u=83, v=44 → 92, 19

a=4953,b=7304,c=8825

alpha/2 = 39 / 127
= 2737 mod 8689

(2017, 3013i) 543=1 mod 8689

5*5*353 = 8825

83, 45u=83, v=46 → 94, 13

a=4773,b=7636,c=9005

alpha/2 = 37 / 129
= 135 mod 8689

(1454, 3422i) 4344=1 mod 8689

5*1801 = 9005

83, 47u=83, v=48 → 92, 27

a=4585,b=7968,c=9193

alpha/2 = 35 / 131
= 7827 mod 8689

(2053, 3732i) 2172=1 mod 8689

29*317 = 9193

83, 49u=83, v=50 → 70, 67

a=4389,b=8300,c=9389

alpha/2 = 33 / 133
= 6468 mod 8689

(3712, 3730i) 1086=1 mod 8689

41*229 = 9389

83, 51u=83, v=52 → 88, 43

a=4185,b=8632,c=9593

alpha/2 = 31 / 135
= 4570 mod 8689

(1456, 1855i) 4344=1 mod 8689

53*181 = 9593

83, 53u=83, v=54 → 78, 61 → 99, 2

a=3973,b=8964,c=9805

alpha/2 = 29 / 137
= 4313 mod 8689

(1954, 3648i) 2172=1 mod 8689

5*37*53 = 9805

83, 55u=83, v=56 → 77, 64

a=3753,b=9296,c=10025

alpha/2 = 27 / 139
= 7564 mod 8689

(1658, 4010i) 4344=1 mod 8689

5*5*401 = 10025

83, 57u=83, v=58

a=3525,b=9628,c=10253

alpha/2 = 25 / 141
= 3636 mod 8689

(2470, 3505i) 724=1 mod 8689

10253

83, 59u=83, v=60 → 92, 45

a=3289,b=9960,c=10489

alpha/2 = 23 / 143
= 5408 mod 8689

(3, 1153i) 2172=1 mod 8689

17*617 = 10489

83, 61u=83, v=62

a=3045,b=10292,c=10733

alpha/2 = 21 / 145
= 4854 mod 8689

(148, 1040i) 2172=1 mod 8689

10733

83, 63u=83, v=64

a=2793,b=10624,c=10985

alpha/2 = 19 / 147
= 473 mod 8689

(820, 3144i) 4344=1 mod 8689

5*13*13*13 = 10985

83, 65u=83, v=66 → 99, 38

a=2533,b=10956,c=11245

alpha/2 = 17 / 149
= 1458 mod 8689

(3023, 3669i) 362=1 mod 8689

5*13*173 = 11245

83, 67u=83, v=68

a=2265,b=11288,c=11513

alpha/2 = 15 / 151
= 4546 mod 8689

(2999, 4133i) 543=1 mod 8689

29*397 = 11513

83, 69u=83, v=70

a=1989,b=11620,c=11789

alpha/2 = 13 / 153
= 3010 mod 8689

(1119, 3143i) 2172=1 mod 8689

11789

83, 71u=83, v=72

a=1705,b=11952,c=12073

alpha/2 = 11 / 155
= 897 mod 8689

(2222, 4250i) 4344=1 mod 8689

12073

83, 73u=83, v=74

a=1413,b=12284,c=12365

alpha/2 = 9 / 157
= 1439 mod 8689

(703, 3557i) 1448=1 mod 8689

5*2473 = 12365

83, 75u=83, v=76

a=1113,b=12616,c=12665

alpha/2 = 7 / 159
= 1093 mod 8689

(1117, 4269i) 2172=1 mod 8689

5*17*149 = 12665

83, 77u=83, v=78

a=805,b=12948,c=12973

alpha/2 = 5 / 161
= 54 mod 8689

(2802, 3649i) 2172=1 mod 8689

12973

83, 79u=83, v=80

a=489,b=13280,c=13289

alpha/2 = 3 / 163
= 5384 mod 8689

(154, 376i) 2172=1 mod 8689

97*137 = 13289

83, 81u=83, v=82 f(u,82)=u2+6724;↓

a=165,b=13612,c=13613

alpha/2 = 1 / 165
= 2949 mod 8689

(1238, 4258i) 1086=1 mod 8689

13613

u=84, v=1 f(84,v)=7056+v2;→

a=7055,b=168,c=7057

alpha/2 = 83 / 85
= 1841 mod 8689

(639, 1543i) 2172=1 mod 8689

7057

84, 284, 384, 4u=84, v=5 → 60, 59

a=7031,b=840,c=7081

alpha/2 = 79 / 89
= 8397 mod 8689

(3113, 3641i) 4344=1 mod 8689

73*97 = 7081

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

a=6935,b=1848,c=7177

alpha/2 = 73 / 95
= 4391 mod 8689

(2886, 3863i) 2172=1 mod 8689

7177

84, 12u=84, v=13 → 77, 36

a=6887,b=2184,c=7225

alpha/2 = 71 / 97
= 8421 mod 8689

(2126, 3705i) 543=1 mod 8689

5*5*17*17 = 7225

84, 1484, 1584, 16u=84, v=17 → 64, 57

a=6767,b=2856,c=7345

alpha/2 = 67 / 101
= 3872 mod 8689

(1084, 4333i) 1086=1 mod 8689

5*13*113 = 7345

84, 18u=84, v=19

a=6695,b=3192,c=7417

alpha/2 = 65 / 103
= 3375 mod 8689

(1478, 2611i) 1448=1 mod 8689

7417

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

a=6527,b=3864,c=7585

alpha/2 = 61 / 107
= 3330 mod 8689

(364, 4341i) 362=1 mod 8689

5*37*41 = 7585

84, 24u=84, v=25

a=6431,b=4200,c=7681

alpha/2 = 59 / 109
= 1834 mod 8689

(15, 1444i) 543=1 mod 8689

7681

84, 2684, 2784, 28u=84, v=29 → 69, 56

a=6215,b=4872,c=7897

alpha/2 = 55 / 113
= 1077 mod 8689

(1561, 4219i) 4344=1 mod 8689

53*149 = 7897

84, 30u=84, v=31

a=6095,b=5208,c=8017

alpha/2 = 53 / 115
= 7405 mod 8689

(22, 2180i) 2172=1 mod 8689

8017

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

a=5687,b=6216,c=8425

alpha/2 = 47 / 121
= 7325 mod 8689

(3926, 4004i) 4344=1 mod 8689

5*5*337 = 8425

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

a=5375,b=6888,c=8737

alpha/2 = 43 / 125
= 904 mod 8689

(293, 4201i) 181=1 mod 8689

8737

84, 42u=84, v=43 → 72, 61 → 93, 16

a=5207,b=7224,c=8905

alpha/2 = 41 / 127
= 1095 mod 8689

(932, 2832i) 724=1 mod 8689

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
= 8026 mod 8689

(2548, 4321i) 362=1 mod 8689

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
= 1015 mod 8689

(11, 2475i) 2172=1 mod 8689

5*1973 = 9865

84, 54u=84, v=55

a=4031,b=9240,c=10081

alpha/2 = 29 / 139
= 1688 mod 8689

(908, 3439i) 4344=1 mod 8689

17*593 = 10081

84, 5684, 5784, 58u=84, v=59 → 76, 69

a=3575,b=9912,c=10537

alpha/2 = 25 / 143
= 2856 mod 8689

(3153, 3165i) 1448=1 mod 8689

41*257 = 10537

84, 60u=84, v=61

a=3335,b=10248,c=10777

alpha/2 = 23 / 145
= 4075 mod 8689

(605, 2302i) 4344=1 mod 8689

13*829 = 10777

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

a=2831,b=10920,c=11281

alpha/2 = 19 / 149
= 3674 mod 8689

(961, 2981i) 724=1 mod 8689

29*389 = 11281

84, 66u=84, v=67

a=2567,b=11256,c=11545

alpha/2 = 17 / 151
= 518 mod 8689

(4085, 4085i) 4=1 mod 8689

5*2309 = 11545

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

a=2015,b=11928,c=12097

alpha/2 = 13 / 155
= 1850 mod 8689

(364, 4341i) 362=1 mod 8689

12097

84, 72u=84, v=73

a=1727,b=12264,c=12385

alpha/2 = 11 / 157
= 6586 mod 8689

(1577, 2768i) 4344=1 mod 8689

5*2477 = 12385

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

a=815,b=13272,c=13297

alpha/2 = 5 / 163
= 6077 mod 8689

(541, 3216i) 724=1 mod 8689

13297

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

a=167,b=13944,c=13945

alpha/2 = 1 / 167
= 5203 mod 8689

(1386, 2974i) 543=1 mod 8689

5*2789 = 13945

85, 1u=85, v=2

a=7221,b=340,c=7229

alpha/2 = 83 / 87
= 5494 mod 8689

(1715, 3333i) 724=1 mod 8689

7229

85, 3u=85, v=4 → 80, 29

a=7209,b=680,c=7241

alpha/2 = 81 / 89
= 4980 mod 8689

(191, 4080i) 2172=1 mod 8689

13*557 = 7241

85, 5u=85, v=6 → 69, 50

a=7189,b=1020,c=7261

alpha/2 = 79 / 91
= 7926 mod 8689

(218, 1242i) 1086=1 mod 8689

53*137 = 7261

85, 7u=85, v=8 → 83, 20

a=7161,b=1360,c=7289

alpha/2 = 77 / 93
= 1776 mod 8689

(299, 994i) 2172=1 mod 8689

37*197 = 7289

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

a=7081,b=2040,c=7369

alpha/2 = 73 / 97
= 3763 mod 8689

(1897, 3948i) 1448=1 mod 8689

7369

85, 13u=85, v=14 → 86, 5

a=7029,b=2380,c=7421

alpha/2 = 71 / 99
= 1405 mod 8689

(248, 879i) 4344=1 mod 8689

41*181 = 7421

85, 15u=85, v=16

a=6969,b=2720,c=7481

alpha/2 = 69 / 101
= 6711 mod 8689

(1440, 1671i) 1448=1 mod 8689

7481

85, 17u=85, v=18

a=6901,b=3060,c=7549

alpha/2 = 67 / 103
= 5484 mod 8689

(460, 2654i) 181=1 mod 8689

7549

85, 1985, 2085, 21u=85, v=22 → 70, 53

a=6741,b=3740,c=7709

alpha/2 = 63 / 107
= 163 mod 8689

(2055, 3905i) 543=1 mod 8689

13*593 = 7709

85, 23u=85, v=24 → 76, 45

a=6649,b=4080,c=7801

alpha/2 = 61 / 109
= 718 mod 8689

(1881, 3762i) 4344=1 mod 8689

29*269 = 7801

85, 25u=85, v=26

a=6549,b=4420,c=7901

alpha/2 = 59 / 111
= 1253 mod 8689

(2729, 2776i) 4344=1 mod 8689

7901

85, 27u=85, v=28

a=6441,b=4760,c=8009

alpha/2 = 57 / 113
= 2538 mod 8689

(7, 2150i) 543=1 mod 8689

8009

85, 2985, 3085, 31u=85, v=32 → 80, 43

a=6201,b=5440,c=8249

alpha/2 = 53 / 117
= 5199 mod 8689

(2996, 3172i) 4344=1 mod 8689

73*113 = 8249

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

a=5929,b=6120,c=8521

alpha/2 = 49 / 121
= 4309 mod 8689

(2499, 2519i) 543=1 mod 8689

8521

85, 37u=85, v=38

a=5781,b=6460,c=8669

alpha/2 = 47 / 123
= 3038 mod 8689

(323, 3621i) 1086=1 mod 8689

8669

85, 3985, 4085, 41u=85, v=42 → 75, 58

a=5461,b=7140,c=8989

alpha/2 = 43 / 127
= 8142 mod 8689

(1401, 1714i) 2172=1 mod 8689

89*101 = 8989

85, 43u=85, v=44

a=5289,b=7480,c=9161

alpha/2 = 41 / 129
= 3907 mod 8689

(2069, 2814i) 724=1 mod 8689

9161

85, 45u=85, v=46

a=5109,b=7820,c=9341

alpha/2 = 39 / 131
= 8225 mod 8689

(1658, 4010i) 4344=1 mod 8689

9341

85, 47u=85, v=48 → 77, 60

a=4921,b=8160,c=9529

alpha/2 = 37 / 133
= 7252 mod 8689

(501, 1251i) 181=1 mod 8689

13*733 = 9529

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

a=4521,b=8840,c=9929

alpha/2 = 33 / 137
= 6406 mod 8689

(620, 848i) 1086=1 mod 8689

9929

85, 53u=85, v=54

a=4309,b=9180,c=10141

alpha/2 = 31 / 139
= 4501 mod 8689

(2017, 3013i) 543=1 mod 8689

10141

85, 55u=85, v=56

a=4089,b=9520,c=10361

alpha/2 = 29 / 141
= 5608 mod 8689

(3786, 4027i) 1448=1 mod 8689

13*797 = 10361

85, 57u=85, v=58

a=3861,b=9860,c=10589

alpha/2 = 27 / 143
= 304 mod 8689

(1594, 2007i) 2172=1 mod 8689

10589

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

a=3381,b=10540,c=11069

alpha/2 = 23 / 147
= 6975 mod 8689

(1867, 2487i) 724=1 mod 8689

11069

85, 63u=85, v=64

a=3129,b=10880,c=11321

alpha/2 = 21 / 149
= 5890 mod 8689

(1871, 3352i) 4344=1 mod 8689

11321

85, 65u=85, v=66 → 90, 59

a=2869,b=11220,c=11581

alpha/2 = 19 / 151
= 5179 mod 8689

(3926, 4004i) 4344=1 mod 8689

37*313 = 11581

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

a=2041,b=12240,c=12409

alpha/2 = 13 / 157
= 3044 mod 8689

(277, 2689i) 2172=1 mod 8689

12409

85, 73u=85, v=74

a=1749,b=12580,c=12701

alpha/2 = 11 / 159
= 7924 mod 8689

(3311, 4274i) 2172=1 mod 8689

13*977 = 12701

85, 75u=85, v=76

a=1449,b=12920,c=13001

alpha/2 = 9 / 161
= 1835 mod 8689

(1114, 2276i) 4344=1 mod 8689

13001

85, 77u=85, v=78

a=1141,b=13260,c=13309

alpha/2 = 7 / 163
= 6770 mod 8689

(698, 1357i) 4344=1 mod 8689

13309

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

a=501,b=13940,c=13949

alpha/2 = 3 / 167
= 6920 mod 8689

(213, 3169i) 1448=1 mod 8689

13*29*37 = 13949

85, 83u=85, v=84 f(u,84)=u2+7056;↓

a=169,b=14280,c=14281

alpha/2 = 1 / 169
= 3599 mod 8689

(2496, 3768i) 4344=1 mod 8689

14281

u=86, v=1 f(86,v)=7396+v2;→ → 79, 34

a=7395,b=172,c=7397

alpha/2 = 85 / 87
= 7092 mod 8689

(1492, 1937i) 2172=1 mod 8689

13*569 = 7397

86, 2u=86, v=3 → 67, 54

a=7387,b=516,c=7405

alpha/2 = 83 / 89
= 1563 mod 8689

(202, 2923i) 1448=1 mod 8689

5*1481 = 7405

86, 4u=86, v=5 → 85, 14

a=7371,b=860,c=7421

alpha/2 = 81 / 91
= 5157 mod 8689

(2384, 4179i) 4344=1 mod 8689

41*181 = 7421

86, 6u=86, v=7 → 73, 46

a=7347,b=1204,c=7445

alpha/2 = 79 / 93
= 468 mod 8689

(1843, 2781i) 362=1 mod 8689

5*1489 = 7445

86, 8u=86, v=9

a=7315,b=1548,c=7477

alpha/2 = 77 / 95
= 2013 mod 8689

(386, 3698i) 4344=1 mod 8689

7477

86, 10u=86, v=11

a=7275,b=1892,c=7517

alpha/2 = 75 / 97
= 7794 mod 8689

(105, 1603i) 4344=1 mod 8689

7517

86, 12u=86, v=13 → 62, 61

a=7227,b=2236,c=7565

alpha/2 = 73 / 99
= 2546 mod 8689

(1977, 3632i) 4344=1 mod 8689

5*17*89 = 7565

86, 14u=86, v=15

a=7171,b=2580,c=7621

alpha/2 = 71 / 101
= 861 mod 8689

(1955, 3272i) 4344=1 mod 8689

7621

86, 16u=86, v=17 → 74, 47

a=7107,b=2924,c=7685

alpha/2 = 69 / 103
= 7593 mod 8689

(176, 642i) 2172=1 mod 8689

5*29*53 = 7685

86, 18u=86, v=19

a=7035,b=3268,c=7757

alpha/2 = 67 / 105
= 3890 mod 8689

(800, 1339i) 1448=1 mod 8689

7757

86, 20u=86, v=21 → 66, 59

a=6955,b=3612,c=7837

alpha/2 = 65 / 107
= 5685 mod 8689

(249, 2262i) 543=1 mod 8689

17*461 = 7837

86, 22u=86, v=23 → 89, 2

a=6867,b=3956,c=7925

alpha/2 = 63 / 109
= 8291 mod 8689

(1860, 2113i) 4344=1 mod 8689

5*5*317 = 7925

86, 24u=86, v=25 → 89, 10

a=6771,b=4300,c=8021

alpha/2 = 61 / 111
= 3210 mod 8689

(2491, 3249i) 4344=1 mod 8689

13*617 = 8021

86, 26u=86, v=27 → 69, 58

a=6667,b=4644,c=8125

alpha/2 = 59 / 113
= 3999 mod 8689

(1101, 1575i) 4344=1 mod 8689

5*5*5*5*13 = 8125

86, 28u=86, v=29

a=6555,b=4988,c=8237

alpha/2 = 57 / 115
= 4685 mod 8689

(889, 2933i) 4344=1 mod 8689

8237

86, 30u=86, v=31 → 79, 46

a=6435,b=5332,c=8357

alpha/2 = 55 / 117
= 149 mod 8689

(298, 1106i) 4344=1 mod 8689

61*137 = 8357

86, 32u=86, v=33 → 78, 49

a=6307,b=5676,c=8485

alpha/2 = 53 / 119
= 2410 mod 8689

(755, 3550i) 724=1 mod 8689

5*1697 = 8485

86, 34u=86, v=35 → 70, 61

a=6171,b=6020,c=8621

alpha/2 = 51 / 121
= 1293 mod 8689

(2133, 2263i) 724=1 mod 8689

37*233 = 8621

86, 36u=86, v=37 → 91, 22

a=6027,b=6364,c=8765

alpha/2 = 49 / 123
= 5016 mod 8689

(721, 1913i) 1086=1 mod 8689

5*1753 = 8765

86, 38u=86, v=39 → 94, 9

a=5875,b=6708,c=8917

alpha/2 = 47 / 125
= 3615 mod 8689

(241, 2316i) 1086=1 mod 8689

37*241 = 8917

86, 40u=86, v=41 → 89, 34

a=5715,b=7052,c=9077

alpha/2 = 45 / 127
= 6500 mod 8689

(1844, 3870i) 1448=1 mod 8689

29*313 = 9077

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

a=5371,b=7740,c=9421

alpha/2 = 41 / 131
= 8424 mod 8689

(1435, 1776i) 724=1 mod 8689

9421

86, 46u=86, v=47 → 79, 58 → 98, 1

a=5187,b=8084,c=9605

alpha/2 = 39 / 133
= 7644 mod 8689

(554, 3234i) 4344=1 mod 8689

5*17*113 = 9605

86, 48u=86, v=49 → 94, 31

a=4995,b=8428,c=9797

alpha/2 = 37 / 135
= 129 mod 8689

(2999, 4133i) 543=1 mod 8689

97*101 = 9797

86, 50u=86, v=51 → 99, 14

a=4795,b=8772,c=9997

alpha/2 = 35 / 137
= 3108 mod 8689

(485, 1398i) 724=1 mod 8689

13*769 = 9997

86, 52u=86, v=53 → 82, 59 → 94, 37

a=4587,b=9116,c=10205

alpha/2 = 33 / 139
= 7314 mod 8689

(2416, 2803i) 2172=1 mod 8689

5*13*157 = 10205

86, 54u=86, v=55 → 89, 50

a=4371,b=9460,c=10421

alpha/2 = 31 / 141
= 6594 mod 8689

(454, 4028i) 4344=1 mod 8689

17*613 = 10421

86, 56u=86, v=57

a=4147,b=9804,c=10645

alpha/2 = 29 / 143
= 6441 mod 8689

(698, 1357i) 4344=1 mod 8689

5*2129 = 10645

86, 58u=86, v=59

a=3915,b=10148,c=10877

alpha/2 = 27 / 145
= 2517 mod 8689

(1196, 2234i) 2172=1 mod 8689

73*149 = 10877

86, 60u=86, v=61

a=3675,b=10492,c=11117

alpha/2 = 25 / 147
= 1537 mod 8689

(3502, 4084i) 4344=1 mod 8689

11117

86, 62u=86, v=63

a=3427,b=10836,c=11365

alpha/2 = 23 / 149
= 8106 mod 8689

(3316, 3836i) 4344=1 mod 8689

5*2273 = 11365

86, 64u=86, v=65

a=3171,b=11180,c=11621

alpha/2 = 21 / 151
= 1151 mod 8689

(1454, 3422i) 4344=1 mod 8689

11621

86, 66u=86, v=67

a=2907,b=11524,c=11885

alpha/2 = 19 / 153
= 5736 mod 8689

(232, 1334i) 4344=1 mod 8689

5*2377 = 11885

86, 68u=86, v=69

a=2635,b=11868,c=12157

alpha/2 = 17 / 155
= 3756 mod 8689

(725, 1490i) 181=1 mod 8689

12157

86, 70u=86, v=71

a=2355,b=12212,c=12437

alpha/2 = 15 / 157
= 8191 mod 8689

(1023, 3196i) 1086=1 mod 8689

12437

86, 72u=86, v=73

a=2067,b=12556,c=12725

alpha/2 = 13 / 159
= 6995 mod 8689

(2443, 2477i) 362=1 mod 8689

5*5*509 = 12725

86, 74u=86, v=75

a=1771,b=12900,c=13021

alpha/2 = 11 / 161
= 7070 mod 8689

(901, 1032i) 543=1 mod 8689

29*449 = 13021

86, 76u=86, v=77 → 98, 61

a=1467,b=13244,c=13325

alpha/2 = 9 / 163
= 7463 mod 8689

(1594, 2007i) 2172=1 mod 8689

5*5*13*41 = 13325

86, 78u=86, v=79

a=1155,b=13588,c=13637

alpha/2 = 7 / 165
= 3265 mod 8689

(503, 3191i) 1086=1 mod 8689

13*1049 = 13637

86, 80u=86, v=81

a=835,b=13932,c=13957

alpha/2 = 5 / 167
= 8637 mod 8689

(1210, 2149i) 1448=1 mod 8689

17*821 = 13957

86, 82u=86, v=83

a=507,b=14276,c=14285

alpha/2 = 3 / 169
= 2108 mod 8689

(3110, 4314i) 2172=1 mod 8689

5*2857 = 14285

86, 84u=86, v=85 f(u,85)=u2+7225;↓

a=171,b=14620,c=14621

alpha/2 = 1 / 171
= 7876 mod 8689

(976, 1976i) 1448=1 mod 8689

14621

87, 1u=87, v=2

a=7565,b=348,c=7573

alpha/2 = 85 / 89
= 6835 mod 8689

(435, 1588i) 724=1 mod 8689

7573

87, 3u=87, v=4 → 72, 49

a=7553,b=696,c=7585

alpha/2 = 83 / 91
= 2388 mod 8689

(2834, 3527i) 724=1 mod 8689

5*37*41 = 7585

87, 587, 687, 7u=87, v=8 → 73, 48

a=7505,b=1392,c=7633

alpha/2 = 79 / 95
= 824 mod 8689

(1842, 2766i) 4344=1 mod 8689

17*449 = 7633

87, 9u=87, v=10

a=7469,b=1740,c=7669

alpha/2 = 77 / 97
= 3136 mod 8689

(3065, 3747i) 362=1 mod 8689

7669

87, 1187, 1287, 13u=87, v=14 → 78, 41

a=7373,b=2436,c=7765

alpha/2 = 73 / 101
= 3700 mod 8689

(2105, 3157i) 1448=1 mod 8689

5*1553 = 7765

87, 15u=87, v=16 → 88, 9

a=7313,b=2784,c=7825

alpha/2 = 71 / 103
= 1013 mod 8689

(3865, 4182i) 2172=1 mod 8689

5*5*313 = 7825

87, 1787, 1887, 19u=87, v=20 → 88, 15

a=7169,b=3480,c=7969

alpha/2 = 67 / 107
= 2518 mod 8689

(1453, 1933i) 543=1 mod 8689

13*613 = 7969

87, 21u=87, v=22

a=7085,b=3828,c=8053

alpha/2 = 65 / 109
= 7175 mod 8689

(549, 2957i) 4344=1 mod 8689

8053

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

a=6893,b=4524,c=8245

alpha/2 = 61 / 113
= 5460 mod 8689

(552, 1164i) 1448=1 mod 8689

5*17*97 = 8245

87, 27u=87, v=28

a=6785,b=4872,c=8353

alpha/2 = 59 / 115
= 3325 mod 8689

(2902, 4330i) 724=1 mod 8689

8353

87, 2987, 3087, 31u=87, v=32 → 68, 63

a=6545,b=5568,c=8593

alpha/2 = 55 / 119
= 2337 mod 8689

(58, 2874i) 2172=1 mod 8689

13*661 = 8593

87, 33u=87, v=34 → 74, 57

a=6413,b=5916,c=8725

alpha/2 = 53 / 121
= 6966 mod 8689

(2732, 3925i) 181=1 mod 8689

5*5*349 = 8725

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

a=6125,b=6612,c=9013

alpha/2 = 49 / 125
= 626 mod 8689

(437, 4204i) 543=1 mod 8689

9013

87, 39u=87, v=40 → 95, 12

a=5969,b=6960,c=9169

alpha/2 = 47 / 127
= 4858 mod 8689

(2902, 4330i) 724=1 mod 8689

53*173 = 9169

87, 4187, 4287, 43u=87, v=44 → 96, 17

a=5633,b=7656,c=9505

alpha/2 = 43 / 131
= 8623 mod 8689

(337, 3824i) 1086=1 mod 8689

5*1901 = 9505

87, 45u=87, v=46 → 73, 66 → 98, 9

a=5453,b=8004,c=9685

alpha/2 = 41 / 133
= 8036 mod 8689

(2760, 3656i) 1448=1 mod 8689

5*13*149 = 9685

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

a=5069,b=8700,c=10069

alpha/2 = 37 / 137
= 8499 mod 8689

(2273, 2390i) 2172=1 mod 8689

10069

87, 51u=87, v=52

a=4865,b=9048,c=10273

alpha/2 = 35 / 139
= 1438 mod 8689

(1670, 3297i) 1448=1 mod 8689

10273

87, 5387, 5487, 55u=87, v=56 → 97, 36

a=4433,b=9744,c=10705

alpha/2 = 31 / 143
= 3889 mod 8689

(1453, 1933i) 543=1 mod 8689

5*2141 = 10705

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

a=3725,b=10788,c=11413

alpha/2 = 25 / 149
= 1633 mod 8689

(2492, 4072i) 1086=1 mod 8689

101*113 = 11413

87, 63u=87, v=64

a=3473,b=11136,c=11665

alpha/2 = 23 / 151
= 5812 mod 8689

(1678, 2334i) 1086=1 mod 8689

5*2333 = 11665

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

a=2945,b=11832,c=12193

alpha/2 = 19 / 155
= 4709 mod 8689

(539, 3017i) 724=1 mod 8689

89*137 = 12193

87, 69u=87, v=70

a=2669,b=12180,c=12469

alpha/2 = 17 / 157
= 4649 mod 8689

(3865, 4182i) 2172=1 mod 8689

37*337 = 12469

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

a=2093,b=12876,c=13045

alpha/2 = 13 / 161
= 3616 mod 8689

(182, 2253i) 2172=1 mod 8689

5*2609 = 13045

87, 75u=87, v=76

a=1793,b=13224,c=13345

alpha/2 = 11 / 163
= 8156 mod 8689

(1375, 2998i) 4344=1 mod 8689

5*17*157 = 13345

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

a=1169,b=13920,c=13969

alpha/2 = 7 / 167
= 1665 mod 8689

(2105, 3157i) 1448=1 mod 8689

61*229 = 13969

87, 81u=87, v=82

a=845,b=14268,c=14293

alpha/2 = 5 / 169
= 617 mod 8689

(170, 1239i) 2172=1 mod 8689

14293

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

a=173,b=14964,c=14965

alpha/2 = 1 / 173
= 5123 mod 8689

(1073, 3159i) 4344=1 mod 8689

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
= 3418 mod 8689

(442, 4141i) 724=1 mod 8689

5*1549 = 7745

88, 2u=88, v=3

a=7735,b=528,c=7753

alpha/2 = 85 / 91
= 8308 mod 8689

(1559, 3508i) 1448=1 mod 8689

7753

88, 4u=88, v=5 → 80, 37

a=7719,b=880,c=7769

alpha/2 = 83 / 93
= 6541 mod 8689

(3401, 4249i) 724=1 mod 8689

17*457 = 7769

88, 6u=88, v=7

a=7695,b=1232,c=7793

alpha/2 = 81 / 95
= 8324 mod 8689

(1223, 3257i) 543=1 mod 8689

7793

88, 8u=88, v=9 → 87, 16

a=7663,b=1584,c=7825

alpha/2 = 79 / 97
= 7167 mod 8689

(1450, 1628i) 2172=1 mod 8689

5*5*313 = 7825

88, 1088, 1188, 12u=88, v=13 → 83, 32

a=7575,b=2288,c=7913

alpha/2 = 75 / 101
= 6539 mod 8689

(648, 2959i) 1448=1 mod 8689

41*193 = 7913

88, 14u=88, v=15 → 87, 20

a=7519,b=2640,c=7969

alpha/2 = 73 / 103
= 3122 mod 8689

(2900, 3260i) 2172=1 mod 8689

13*613 = 7969

88, 16u=88, v=17 → 73, 52

a=7455,b=2992,c=8033

alpha/2 = 71 / 105
= 2566 mod 8689

(1267, 4002i) 1448=1 mod 8689

29*277 = 8033

88, 18u=88, v=19 → 68, 59

a=7383,b=3344,c=8105

alpha/2 = 69 / 107
= 8040 mod 8689

(1196, 2234i) 2172=1 mod 8689

5*1621 = 8105

88, 20u=88, v=21 → 83, 36

a=7303,b=3696,c=8185

alpha/2 = 67 / 109
= 6059 mod 8689

(2175, 2889i) 362=1 mod 8689

5*1637 = 8185

88, 22u=88, v=23

a=7215,b=4048,c=8273

alpha/2 = 65 / 111
= 7124 mod 8689

(1375, 2998i) 4344=1 mod 8689

8273

88, 24u=88, v=25

a=7119,b=4400,c=8369

alpha/2 = 63 / 113
= 6921 mod 8689

(2186, 3525i) 2172=1 mod 8689

8369

88, 26u=88, v=27 → 92, 3

a=7015,b=4752,c=8473

alpha/2 = 61 / 115
= 1965 mod 8689

(22, 2180i) 2172=1 mod 8689

37*229 = 8473

88, 28u=88, v=29 → 67, 64 → 92, 11

a=6903,b=5104,c=8585

alpha/2 = 59 / 117
= 7427 mod 8689

(3192, 3391i) 1448=1 mod 8689

5*17*101 = 8585

88, 30u=88, v=31 → 89, 28

a=6783,b=5456,c=8705

alpha/2 = 57 / 119
= 2264 mod 8689

(341, 967i) 543=1 mod 8689

5*1741 = 8705

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

a=6519,b=6160,c=8969

alpha/2 = 53 / 123
= 283 mod 8689

(22, 2180i) 2172=1 mod 8689

8969

88, 36u=88, v=37 → 68, 67

a=6375,b=6512,c=9113

alpha/2 = 51 / 125
= 6326 mod 8689

(3950, 4227i) 1448=1 mod 8689

13*701 = 9113

88, 38u=88, v=39 → 81, 52 → 96, 7

a=6223,b=6864,c=9265

alpha/2 = 49 / 127
= 3216 mod 8689

(736, 1905i) 543=1 mod 8689

5*17*109 = 9265

88, 40u=88, v=41 → 73, 64 → 97, 4

a=6063,b=7216,c=9425

alpha/2 = 47 / 129
= 876 mod 8689

(2068, 3380i) 1086=1 mod 8689

5*5*13*29 = 9425

88, 42u=88, v=43 → 83, 52

a=5895,b=7568,c=9593

alpha/2 = 45 / 131
= 133 mod 8689

(2060, 4067i) 4344=1 mod 8689

53*181 = 9593

88, 44u=88, v=45

a=5719,b=7920,c=9769

alpha/2 = 43 / 133
= 8428 mod 8689

(2175, 2889i) 362=1 mod 8689

9769

88, 46u=88, v=47 → 73, 68

a=5535,b=8272,c=9953

alpha/2 = 41 / 135
= 2961 mod 8689

(2211, 3953i) 1448=1 mod 8689

37*269 = 9953

88, 48u=88, v=49 → 92, 41

a=5343,b=8624,c=10145

alpha/2 = 39 / 137
= 5201 mod 8689

(2091, 3336i) 1448=1 mod 8689

5*2029 = 10145

88, 50u=88, v=51

a=5143,b=8976,c=10345

alpha/2 = 37 / 139
= 4251 mod 8689

(1002, 2359i) 1086=1 mod 8689

5*2069 = 10345

88, 52u=88, v=53 → 77, 68

a=4935,b=9328,c=10553

alpha/2 = 35 / 141
= 8566 mod 8689

(890, 3610i) 4344=1 mod 8689

61*173 = 10553

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

a=4495,b=10032,c=10993

alpha/2 = 31 / 145
= 959 mod 8689

(477, 3073i) 1086=1 mod 8689

10993

88, 58u=88, v=59

a=4263,b=10384,c=11225

alpha/2 = 29 / 147
= 8039 mod 8689

(800, 1339i) 1448=1 mod 8689

5*5*449 = 11225

88, 60u=88, v=61

a=4023,b=10736,c=11465

alpha/2 = 27 / 149
= 3849 mod 8689

(1507, 3810i) 724=1 mod 8689

5*2293 = 11465

88, 62u=88, v=63 → 97, 48

a=3775,b=11088,c=11713

alpha/2 = 25 / 151
= 1784 mod 8689

(2900, 3260i) 2172=1 mod 8689

13*17*53 = 11713

88, 64u=88, v=65

a=3519,b=11440,c=11969

alpha/2 = 23 / 153
= 4657 mod 8689

(1480, 2674i) 4344=1 mod 8689

11969

88, 66u=88, v=67

a=3255,b=11792,c=12233

alpha/2 = 21 / 155
= 5662 mod 8689

(886, 2978i) 362=1 mod 8689

13*941 = 12233

88, 68u=88, v=69 → 99, 52

a=2983,b=12144,c=12505

alpha/2 = 19 / 157
= 1107 mod 8689

(434, 1436i) 1448=1 mod 8689

5*41*61 = 12505

88, 70u=88, v=71

a=2703,b=12496,c=12785

alpha/2 = 17 / 159
= 5137 mod 8689

(1191, 2441i) 1086=1 mod 8689

5*2557 = 12785

88, 72u=88, v=73

a=2415,b=12848,c=13073

alpha/2 = 15 / 161
= 162 mod 8689

(1271, 2635i) 4344=1 mod 8689

17*769 = 13073

88, 74u=88, v=75

a=2119,b=13200,c=13369

alpha/2 = 13 / 163
= 160 mod 8689

(894, 4176i) 4344=1 mod 8689

29*461 = 13369

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

a=1503,b=13904,c=13985

alpha/2 = 9 / 167
= 3382 mod 8689

(2627, 4334i) 1086=1 mod 8689

5*2797 = 13985

88, 80u=88, v=81

a=1183,b=14256,c=14305

alpha/2 = 7 / 169
= 7815 mod 8689

(2671, 3761i) 4344=1 mod 8689

5*2861 = 14305

88, 82u=88, v=83

a=855,b=14608,c=14633

alpha/2 = 5 / 171
= 4624 mod 8689

(1709, 4114i) 181=1 mod 8689

14633

88, 84u=88, v=85

a=519,b=14960,c=14969

alpha/2 = 3 / 173
= 6680 mod 8689

(1039, 1990i) 1448=1 mod 8689

14969

88, 86u=88, v=87 f(u,87)=u2+7569;↓

a=175,b=15312,c=15313

alpha/2 = 1 / 175
= 3277 mod 8689

(589, 1194i) 1086=1 mod 8689

15313

89, 1u=89, v=2 → 86, 23

a=7917,b=356,c=7925

alpha/2 = 87 / 91
= 5539 mod 8689

(2958, 3093i) 1448=1 mod 8689

5*5*317 = 7925

89, 3u=89, v=4

a=7905,b=712,c=7937

alpha/2 = 85 / 93
= 5233 mod 8689

(648, 2959i) 1448=1 mod 8689

7937

89, 5u=89, v=6 → 71, 54

a=7885,b=1068,c=7957

alpha/2 = 83 / 95
= 7135 mod 8689

(996, 1141i) 362=1 mod 8689

73*109 = 7957

89, 7u=89, v=8 → 76, 47

a=7857,b=1424,c=7985

alpha/2 = 81 / 97
= 2509 mod 8689

(1581, 4145i) 4344=1 mod 8689

5*1597 = 7985

89, 9u=89, v=10 → 86, 25

a=7821,b=1780,c=8021

alpha/2 = 79 / 99
= 5969 mod 8689

(519, 4061i) 4344=1 mod 8689

13*617 = 8021

89, 11u=89, v=12 → 64, 63

a=7777,b=2136,c=8065

alpha/2 = 77 / 101
= 689 mod 8689

(1006, 2675i) 1448=1 mod 8689

5*1613 = 8065

89, 13u=89, v=14

a=7725,b=2492,c=8117

alpha/2 = 75 / 103
= 5231 mod 8689

(3401, 4249i) 724=1 mod 8689

8117

89, 15u=89, v=16 → 71, 56

a=7665,b=2848,c=8177

alpha/2 = 73 / 105
= 1904 mod 8689

(2, 3807i) 1086=1 mod 8689

13*17*37 = 8177

89, 17u=89, v=18 → 73, 54

a=7597,b=3204,c=8245

alpha/2 = 71 / 107
= 4873 mod 8689

(2116, 2576i) 4344=1 mod 8689

5*17*97 = 8245

89, 19u=89, v=20 → 65, 64

a=7521,b=3560,c=8321

alpha/2 = 69 / 109
= 4943 mod 8689

(557, 3781i) 2172=1 mod 8689

53*157 = 8321

89, 21u=89, v=22 → 71, 58

a=7437,b=3916,c=8405

alpha/2 = 67 / 111
= 392 mod 8689

(3667, 3780i) 1086=1 mod 8689

5*41*41 = 8405

89, 23u=89, v=24 → 81, 44

a=7345,b=4272,c=8497

alpha/2 = 65 / 113
= 8382 mod 8689

(7, 2150i) 543=1 mod 8689

29*293 = 8497

89, 25u=89, v=26

a=7245,b=4628,c=8597

alpha/2 = 63 / 115
= 605 mod 8689

(2251, 2317i) 2172=1 mod 8689

8597

89, 27u=89, v=28 → 88, 31

a=7137,b=4984,c=8705

alpha/2 = 61 / 117
= 2377 mod 8689

(97, 4033i) 543=1 mod 8689

5*1741 = 8705

89, 29u=89, v=30

a=7021,b=5340,c=8821

alpha/2 = 59 / 119
= 2191 mod 8689

(3147, 3990i) 4344=1 mod 8689

8821

89, 31u=89, v=32 → 79, 52

a=6897,b=5696,c=8945

alpha/2 = 57 / 121
= 934 mod 8689

(7, 2150i) 543=1 mod 8689

5*1789 = 8945

89, 33u=89, v=34 → 86, 41

a=6765,b=6052,c=9077

alpha/2 = 55 / 123
= 2261 mod 8689

(632, 3957i) 1448=1 mod 8689

29*313 = 9077

89, 35u=89, v=36 → 96, 1

a=6625,b=6408,c=9217

alpha/2 = 53 / 125
= 3337 mod 8689

(786, 1197i) 1448=1 mod 8689

13*709 = 9217

89, 37u=89, v=38 → 94, 23

a=6477,b=6764,c=9365

alpha/2 = 51 / 127
= 1574 mod 8689

(466, 3609i) 724=1 mod 8689

5*1873 = 9365

89, 39u=89, v=40

a=6321,b=7120,c=9521

alpha/2 = 49 / 129
= 2762 mod 8689

(2008, 2515i) 4344=1 mod 8689

9521

89, 41u=89, v=42 → 73, 66 → 98, 9

a=6157,b=7476,c=9685

alpha/2 = 47 / 131
= 332 mod 8689

(845, 2824i) 4344=1 mod 8689

5*13*149 = 9685

89, 43u=89, v=44

a=5985,b=7832,c=9857

alpha/2 = 45 / 133
= 131 mod 8689

(886, 2978i) 362=1 mod 8689

9857

89, 45u=89, v=46

a=5805,b=8188,c=10037

alpha/2 = 43 / 135
= 4377 mod 8689

(3195, 3913i) 4344=1 mod 8689

10037

89, 47u=89, v=48 → 72, 71

a=5617,b=8544,c=10225

alpha/2 = 41 / 137
= 1903 mod 8689

(2, 3807i) 1086=1 mod 8689

5*5*409 = 10225

89, 49u=89, v=50 → 86, 55

a=5421,b=8900,c=10421

alpha/2 = 39 / 139
= 7064 mod 8689

(336, 3032i) 4344=1 mod 8689

17*613 = 10421

89, 51u=89, v=52

a=5217,b=9256,c=10625

alpha/2 = 37 / 141
= 863 mod 8689

(2946, 3478i) 2172=1 mod 8689

5*5*5*5*17 = 10625

89, 53u=89, v=54

a=5005,b=9612,c=10837

alpha/2 = 35 / 143
= 7474 mod 8689

(1406, 3442i) 4344=1 mod 8689

10837

89, 55u=89, v=56

a=4785,b=9968,c=11057

alpha/2 = 33 / 145
= 180 mod 8689

(941, 4290i) 4344=1 mod 8689

11057

89, 57u=89, v=58 → 98, 41

a=4557,b=10324,c=11285

alpha/2 = 31 / 147
= 2601 mod 8689

(2050, 2995i) 1448=1 mod 8689

5*37*61 = 11285

89, 59u=89, v=60

a=4321,b=10680,c=11521

alpha/2 = 29 / 149
= 6065 mod 8689

(293, 4201i) 181=1 mod 8689

41*281 = 11521

89, 61u=89, v=62 → 82, 71

a=4077,b=11036,c=11765

alpha/2 = 27 / 151
= 6445 mod 8689

(2476, 3872i) 1448=1 mod 8689

5*13*181 = 11765

89, 63u=89, v=64 → 79, 76

a=3825,b=11392,c=12017

alpha/2 = 25 / 153
= 8462 mod 8689

(1006, 2675i) 1448=1 mod 8689

61*197 = 12017

89, 65u=89, v=66

a=3565,b=11748,c=12277

alpha/2 = 23 / 155
= 6615 mod 8689

(2060, 4067i) 4344=1 mod 8689

12277

89, 67u=89, v=68 → 97, 56

a=3297,b=12104,c=12545

alpha/2 = 21 / 157
= 6254 mod 8689

(1247, 2270i) 4344=1 mod 8689

5*13*193 = 12545

89, 69u=89, v=70

a=3021,b=12460,c=12821

alpha/2 = 19 / 159
= 4208 mod 8689

(464, 2512i) 1086=1 mod 8689

12821

89, 71u=89, v=72

a=2737,b=12816,c=13105

alpha/2 = 17 / 161
= 5397 mod 8689

(1036, 1132i) 724=1 mod 8689

5*2621 = 13105

89, 73u=89, v=74

a=2445,b=13172,c=13397

alpha/2 = 15 / 163
= 853 mod 8689

(806, 1088i) 2172=1 mod 8689

13397

89, 75u=89, v=76

a=2145,b=13528,c=13697

alpha/2 = 13 / 165
= 3581 mod 8689

(1538, 3860i) 543=1 mod 8689

13697

89, 77u=89, v=78

a=1837,b=13884,c=14005

alpha/2 = 11 / 167
= 5099 mod 8689

(1135, 4081i) 1086=1 mod 8689

5*2801 = 14005

89, 79u=89, v=80

a=1521,b=14240,c=14321

alpha/2 = 9 / 169
= 6324 mod 8689

(2371, 3009i) 4344=1 mod 8689

14321

89, 81u=89, v=82 → 98, 71

a=1197,b=14596,c=14645

alpha/2 = 7 / 171
= 2998 mod 8689

(1621, 2606i) 2172=1 mod 8689

5*29*101 = 14645

89, 83u=89, v=84

a=865,b=14952,c=14977

alpha/2 = 5 / 173
= 8237 mod 8689

(2755, 3185i) 2172=1 mod 8689

17*881 = 14977

89, 85u=89, v=86

a=525,b=15308,c=15317

alpha/2 = 3 / 175
= 1142 mod 8689

(3338, 3617i) 4344=1 mod 8689

17*17*53 = 15317

89, 87u=89, v=88 f(u,88)=u2+7744;↓

a=177,b=15664,c=15665

alpha/2 = 1 / 177
= 540 mod 8689

(1891, 3987i) 724=1 mod 8689

5*13*241 = 15665

u=90, v=1 f(90,v)=8100+v2;→

a=8099,b=180,c=8101

alpha/2 = 89 / 91
= 2770 mod 8689

(709, 2986i) 1086=1 mod 8689

8101

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

a=8051,b=1260,c=8149

alpha/2 = 83 / 97
= 6540 mod 8689

(31, 2894i) 181=1 mod 8689

29*281 = 8149

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

a=7979,b=1980,c=8221

alpha/2 = 79 / 101
= 3528 mod 8689

(704, 1341i) 4344=1 mod 8689

8221

90, 12u=90, v=13

a=7931,b=2340,c=8269

alpha/2 = 77 / 103
= 7340 mod 8689

(2443, 2477i) 362=1 mod 8689

8269

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

a=7811,b=3060,c=8389

alpha/2 = 73 / 107
= 1706 mod 8689

(55, 1748i) 181=1 mod 8689

8389

90, 18u=90, v=19

a=7739,b=3420,c=8461

alpha/2 = 71 / 109
= 3827 mod 8689

(15, 1444i) 543=1 mod 8689

8461

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

a=7571,b=4140,c=8629

alpha/2 = 67 / 113
= 1154 mod 8689

(69, 271i) 1086=1 mod 8689

8629

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

a=7259,b=5220,c=8941

alpha/2 = 61 / 119
= 2118 mod 8689

(1178, 1262i) 1086=1 mod 8689

8941

90, 30u=90, v=31 → 81, 50 → 95, 6

a=7139,b=5580,c=9061

alpha/2 = 59 / 121
= 6607 mod 8689

(15, 1444i) 543=1 mod 8689

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
= 8621 mod 8689

(1317, 2665i) 4344=1 mod 8689

17*557 = 9469

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

a=6419,b=7380,c=9781

alpha/2 = 49 / 131
= 531 mod 8689

(941, 4290i) 4344=1 mod 8689

9781

90, 42u=90, v=43

a=6251,b=7740,c=9949

alpha/2 = 47 / 133
= 523 mod 8689

(3712, 3730i) 1086=1 mod 8689

9949

90, 4490, 4590, 46u=90, v=47 → 97, 30

a=5891,b=8460,c=10309

alpha/2 = 43 / 137
= 7294 mod 8689

(9, 3867i) 181=1 mod 8689

13*13*61 = 10309

90, 48u=90, v=49

a=5699,b=8820,c=10501

alpha/2 = 41 / 139
= 1188 mod 8689

(756, 3160i) 4344=1 mod 8689

10501

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

a=5291,b=9540,c=10909

alpha/2 = 37 / 143
= 4922 mod 8689

(1883, 1885i) 4344=1 mod 8689

10909

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

a=4619,b=10620,c=11581

alpha/2 = 31 / 149
= 8281 mod 8689

(1114, 2276i) 4344=1 mod 8689

37*313 = 11581

90, 60u=90, v=61

a=4379,b=10980,c=11821

alpha/2 = 29 / 151
= 2417 mod 8689

(403, 3300i) 4344=1 mod 8689

11821

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

a=3611,b=12060,c=12589

alpha/2 = 23 / 157
= 2712 mod 8689

(1200, 2002i) 4344=1 mod 8689

12589

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

a=3059,b=12780,c=13141

alpha/2 = 19 / 161
= 1943 mod 8689

(1871, 3352i) 4344=1 mod 8689

17*773 = 13141

90, 72u=90, v=73

a=2771,b=13140,c=13429

alpha/2 = 17 / 163
= 1546 mod 8689

(1977, 3632i) 4344=1 mod 8689

13*1033 = 13429

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

a=2171,b=13860,c=14029

alpha/2 = 13 / 167
= 6816 mod 8689

(686, 779i) 4344=1 mod 8689

14029

90, 78u=90, v=79

a=1859,b=14220,c=14341

alpha/2 = 11 / 169
= 4833 mod 8689

(2437, 4264i) 4344=1 mod 8689

14341

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

a=1211,b=14940,c=14989

alpha/2 = 7 / 173
= 1105 mod 8689

(2481, 4218i) 362=1 mod 8689

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
= 7524 mod 8689

(141, 827i) 724=1 mod 8689

37*433 = 16021

91, 1u=91, v=2 → 74, 53

a=8277,b=364,c=8285

alpha/2 = 89 / 93
= 2617 mod 8689

(2840, 3184i) 4344=1 mod 8689

5*1657 = 8285

91, 3u=91, v=4

a=8265,b=728,c=8297

alpha/2 = 87 / 95
= 4757 mod 8689

(2129, 3722i) 724=1 mod 8689

8297

91, 5u=91, v=6

a=8245,b=1092,c=8317

alpha/2 = 85 / 97
= 1882 mod 8689

(3082, 3927i) 543=1 mod 8689

8317

91, 7u=91, v=8 → 68, 61

a=8217,b=1456,c=8345

alpha/2 = 83 / 99
= 8251 mod 8689

(1820, 2227i) 4344=1 mod 8689

5*1669 = 8345

91, 9u=91, v=10 → 70, 59

a=8181,b=1820,c=8381

alpha/2 = 81 / 101
= 6367 mod 8689

(784, 1920i) 4344=1 mod 8689

17*17*29 = 8381

91, 11u=91, v=12 → 84, 37

a=8137,b=2184,c=8425

alpha/2 = 79 / 103
= 760 mod 8689

(792, 2378i) 4344=1 mod 8689

5*5*337 = 8425

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

a=8025,b=2912,c=8537

alpha/2 = 75 / 107
= 7228 mod 8689

(919, 4135i) 724=1 mod 8689

8537

91, 17u=91, v=18 → 69, 62

a=7957,b=3276,c=8605

alpha/2 = 73 / 109
= 2711 mod 8689

(39, 1250i) 724=1 mod 8689

5*1721 = 8605

91, 19u=91, v=20

a=7881,b=3640,c=8681

alpha/2 = 71 / 111
= 4306 mod 8689

(101, 455i) 724=1 mod 8689

8681

91, 21u=91, v=22 → 86, 37

a=7797,b=4004,c=8765

alpha/2 = 69 / 113
= 2615 mod 8689

(510, 1841i) 362=1 mod 8689

5*1753 = 8765

91, 23u=91, v=24 → 69, 64

a=7705,b=4368,c=8857

alpha/2 = 67 / 115
= 6574 mod 8689

(26, 3718i) 362=1 mod 8689

17*521 = 8857

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

a=7381,b=5460,c=9181

alpha/2 = 61 / 121
= 3591 mod 8689

(1910, 3190i) 1448=1 mod 8689

9181

91, 31u=91, v=32 → 92, 29

a=7257,b=5824,c=9305

alpha/2 = 59 / 123
= 6217 mod 8689

(3383, 3959i) 4344=1 mod 8689

5*1861 = 9305

91, 33u=91, v=34

a=7125,b=6188,c=9437

alpha/2 = 57 / 125
= 6048 mod 8689

(792, 2378i) 4344=1 mod 8689

9437

91, 35u=91, v=36 → 96, 19

a=6985,b=6552,c=9577

alpha/2 = 55 / 127
= 6979 mod 8689

(2341, 4229i) 4344=1 mod 8689

61*157 = 9577

91, 37u=91, v=38 → 98, 11

a=6837,b=6916,c=9725

alpha/2 = 53 / 129
= 6534 mod 8689

(463, 3625i) 4344=1 mod 8689

5*5*389 = 9725

91, 39u=91, v=40 → 80, 59

a=6681,b=7280,c=9881

alpha/2 = 51 / 131
= 730 mod 8689

(60, 356i) 724=1 mod 8689

41*241 = 9881

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

a=6345,b=8008,c=10217

alpha/2 = 47 / 135
= 7209 mod 8689

(1496, 3095i) 4344=1 mod 8689

17*601 = 10217

91, 45u=91, v=46

a=6165,b=8372,c=10397

alpha/2 = 45 / 137
= 3996 mod 8689

(1002, 2359i) 1086=1 mod 8689

37*281 = 10397

91, 47u=91, v=48 → 99, 28

a=5977,b=8736,c=10585

alpha/2 = 43 / 139
= 4001 mod 8689

(3405, 3741i) 4344=1 mod 8689

5*29*73 = 10585

91, 49u=91, v=50

a=5781,b=9100,c=10781

alpha/2 = 41 / 141
= 2835 mod 8689

(1142, 2427i) 4344=1 mod 8689

10781

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

a=5365,b=9828,c=11197

alpha/2 = 37 / 145
= 7311 mod 8689

(3413, 3743i) 4344=1 mod 8689

11197

91, 5591, 5691, 57u=91, v=58 → 94, 53

a=4917,b=10556,c=11645

alpha/2 = 33 / 149
= 1808 mod 8689

(274, 1927i) 4344=1 mod 8689

5*17*137 = 11645

91, 59u=91, v=60

a=4681,b=10920,c=11881

alpha/2 = 31 / 151
= 7078 mod 8689

(2024, 2290i) 181=1 mod 8689

109*109 = 11881

91, 61u=91, v=62

a=4437,b=11284,c=12125

alpha/2 = 29 / 153
= 7383 mod 8689

(507, 1777i) 4344=1 mod 8689

5*5*5*97 = 12125

91, 63u=91, v=64

a=4185,b=11648,c=12377

alpha/2 = 27 / 155
= 8521 mod 8689

(2133, 2263i) 724=1 mod 8689

12377

91, 65u=91, v=66

a=3925,b=12012,c=12637

alpha/2 = 25 / 157
= 7859 mod 8689

(527, 2961i) 4344=1 mod 8689

12637

91, 67u=91, v=68

a=3657,b=12376,c=12905

alpha/2 = 23 / 159
= 2350 mod 8689

(3082, 3927i) 543=1 mod 8689

5*29*89 = 12905

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

a=3097,b=13104,c=13465

alpha/2 = 19 / 163
= 2239 mod 8689

(1007, 2228i) 1086=1 mod 8689

5*2693 = 13465

91, 73u=91, v=74

a=2805,b=13468,c=13757

alpha/2 = 17 / 165
= 6688 mod 8689

(2326, 2979i) 2172=1 mod 8689

13757

91, 75u=91, v=76

a=2505,b=13832,c=14057

alpha/2 = 15 / 167
= 8533 mod 8689

(40, 2450i) 1448=1 mod 8689

14057

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

a=1881,b=14560,c=14681

alpha/2 = 11 / 171
= 8435 mod 8689

(1971, 3327i) 1448=1 mod 8689

53*277 = 14681

91, 81u=91, v=82

a=1557,b=14924,c=15005

alpha/2 = 9 / 173
= 2662 mod 8689

(2198, 2648i) 4344=1 mod 8689

5*3001 = 15005

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

a=885,b=15652,c=15677

alpha/2 = 5 / 177
= 2700 mod 8689

(992, 3801i) 543=1 mod 8689

61*257 = 15677

91, 87u=91, v=88

a=537,b=16016,c=16025

alpha/2 = 3 / 179
= 5194 mod 8689

(2273, 2390i) 2172=1 mod 8689

5*5*641 = 16025

91, 89u=91, v=90 f(u,90)=u2+8100;↓

a=181,b=16380,c=16381

alpha/2 = 1 / 181
= 8641 mod 8689

(392, 1439i) 1086=1 mod 8689

16381

u=92, v=1 f(92,v)=8464+v2;→ → 73, 56

a=8463,b=184,c=8465

alpha/2 = 91 / 93
= 1309 mod 8689

(2406, 4035i) 181=1 mod 8689

5*1693 = 8465

92, 2u=92, v=3 → 88, 27

a=8455,b=552,c=8473

alpha/2 = 89 / 95
= 3568 mod 8689

(723, 968i) 181=1 mod 8689

37*229 = 8473

92, 4u=92, v=5 → 83, 40

a=8439,b=920,c=8489

alpha/2 = 87 / 97
= 5913 mod 8689

(2171, 3471i) 2172=1 mod 8689

13*653 = 8489

92, 6u=92, v=7

a=8415,b=1288,c=8513

alpha/2 = 85 / 99
= 703 mod 8689

(1677, 2772i) 4344=1 mod 8689

8513

92, 8u=92, v=9 → 79, 48

a=8383,b=1656,c=8545

alpha/2 = 83 / 101
= 517 mod 8689

(1084, 4333i) 1086=1 mod 8689

5*1709 = 8545

92, 10u=92, v=11 → 67, 64

a=8343,b=2024,c=8585

alpha/2 = 81 / 103
= 2869 mod 8689

(1173, 2693i) 1448=1 mod 8689

5*17*101 = 8585

92, 12u=92, v=13 → 77, 52

a=8295,b=2392,c=8633

alpha/2 = 79 / 105
= 8607 mod 8689

(938, 1284i) 543=1 mod 8689

89*97 = 8633

92, 14u=92, v=15

a=8239,b=2760,c=8689

alpha/2 = 77 / 107
= 4061 mod 8689

8689

92, 16u=92, v=17

a=8175,b=3128,c=8753

alpha/2 = 75 / 109
= 1595 mod 8689

(1135, 4081i) 1086=1 mod 8689

8753

92, 18u=92, v=19 → 83, 44

a=8103,b=3496,c=8825

alpha/2 = 73 / 111
= 6263 mod 8689

(1921, 3041i) 181=1 mod 8689

5*5*353 = 8825

92, 20u=92, v=21 → 72, 61 → 93, 16

a=8023,b=3864,c=8905

alpha/2 = 71 / 113
= 4076 mod 8689

(721, 1913i) 1086=1 mod 8689

5*13*137 = 8905

92, 2292, 2392, 24u=92, v=25 → 95, 8

a=7839,b=4600,c=9089

alpha/2 = 67 / 117
= 4605 mod 8689

(1084, 4333i) 1086=1 mod 8689

61*149 = 9089

92, 26u=92, v=27 → 83, 48

a=7735,b=4968,c=9193

alpha/2 = 65 / 119
= 1972 mod 8689

(2791, 3714i) 1086=1 mod 8689

29*317 = 9193

92, 28u=92, v=29 → 91, 32

a=7623,b=5336,c=9305

alpha/2 = 63 / 121
= 575 mod 8689

(1684, 3246i) 4344=1 mod 8689

5*1861 = 9305

92, 30u=92, v=31 → 73, 64 → 97, 4

a=7503,b=5704,c=9425

alpha/2 = 61 / 123
= 8195 mod 8689

(22, 2180i) 2172=1 mod 8689

5*5*13*29 = 9425

92, 32u=92, v=33 → 97, 12

a=7375,b=6072,c=9553

alpha/2 = 59 / 125
= 3059 mod 8689

(2662, 4165i) 543=1 mod 8689

41*233 = 9553

92, 34u=92, v=35

a=7239,b=6440,c=9689

alpha/2 = 57 / 127
= 5337 mod 8689

(354, 433i) 1086=1 mod 8689

9689

92, 36u=92, v=37

a=7095,b=6808,c=9833

alpha/2 = 55 / 129
= 8420 mod 8689

(249, 2262i) 543=1 mod 8689

9833

92, 38u=92, v=39 → 97, 24

a=6943,b=7176,c=9985

alpha/2 = 53 / 131
= 929 mod 8689

(799, 2777i) 362=1 mod 8689

5*1997 = 9985

92, 40u=92, v=41 → 88, 49

a=6783,b=7544,c=10145

alpha/2 = 51 / 133
= 1307 mod 8689

(3289, 3639i) 4344=1 mod 8689

5*2029 = 10145

92, 42u=92, v=43

a=6615,b=7912,c=10313

alpha/2 = 49 / 135
= 8625 mod 8689

(333, 3933i) 4344=1 mod 8689

10313

92, 44u=92, v=45 → 83, 60

a=6439,b=8280,c=10489

alpha/2 = 47 / 137
= 698 mod 8689

(2171, 3471i) 2172=1 mod 8689

17*617 = 10489

92, 46u=92, v=47

a=6255,b=8648,c=10673

alpha/2 = 45 / 139
= 6814 mod 8689

(2273, 2390i) 2172=1 mod 8689

13*821 = 10673

92, 48u=92, v=49 → 79, 68

a=6063,b=9016,c=10865

alpha/2 = 43 / 141
= 3821 mod 8689

(121, 1825i) 543=1 mod 8689

5*41*53 = 10865

92, 50u=92, v=51 → 96, 43

a=5863,b=9384,c=11065

alpha/2 = 41 / 143
= 8507 mod 8689

(1496, 3095i) 4344=1 mod 8689

5*2213 = 11065

92, 52u=92, v=53

a=5655,b=9752,c=11273

alpha/2 = 39 / 145
= 6532 mod 8689

(757, 1474i) 2172=1 mod 8689

11273

92, 54u=92, v=55

a=5439,b=10120,c=11489

alpha/2 = 37 / 147
= 3665 mod 8689

(154, 376i) 2172=1 mod 8689

11489

92, 56u=92, v=57 → 88, 63 → 97, 48

a=5215,b=10488,c=11713

alpha/2 = 35 / 149
= 4024 mod 8689

(2432, 2555i) 181=1 mod 8689

13*17*53 = 11713

92, 58u=92, v=59

a=4983,b=10856,c=11945

alpha/2 = 33 / 151
= 3050 mod 8689

(3199, 3847i) 724=1 mod 8689

5*2389 = 11945

92, 60u=92, v=61

a=4743,b=11224,c=12185

alpha/2 = 31 / 153
= 2499 mod 8689

(3198, 4112i) 362=1 mod 8689

5*2437 = 12185

92, 62u=92, v=63

a=4495,b=11592,c=12433

alpha/2 = 29 / 155
= 785 mod 8689

(164, 2380i) 4344=1 mod 8689

12433

92, 64u=92, v=65

a=4239,b=11960,c=12689

alpha/2 = 27 / 157
= 4317 mod 8689

(785, 4237i) 181=1 mod 8689

12689

92, 66u=92, v=67

a=3975,b=12328,c=12953

alpha/2 = 25 / 159
= 1421 mod 8689

(1030, 3877i) 2172=1 mod 8689

12953

92, 6892, 6992, 70u=92, v=71 → 97, 64

a=3423,b=13064,c=13505

alpha/2 = 21 / 163
= 2932 mod 8689

(820, 3144i) 4344=1 mod 8689

5*37*73 = 13505

92, 72u=92, v=73

a=3135,b=13432,c=13793

alpha/2 = 19 / 165
= 3897 mod 8689

(2299, 3053i) 2172=1 mod 8689

13*1061 = 13793

92, 74u=92, v=75

a=2839,b=13800,c=14089

alpha/2 = 17 / 167
= 1561 mod 8689

(723, 968i) 181=1 mod 8689

73*193 = 14089

92, 76u=92, v=77

a=2535,b=14168,c=14393

alpha/2 = 15 / 169
= 1851 mod 8689

(1964, 3361i) 543=1 mod 8689

37*389 = 14393

92, 78u=92, v=79

a=2223,b=14536,c=14705

alpha/2 = 13 / 171
= 6809 mod 8689

(2078, 3411i) 4344=1 mod 8689

5*17*173 = 14705

92, 80u=92, v=81

a=1903,b=14904,c=15025

alpha/2 = 11 / 173
= 4219 mod 8689

(891, 1011i) 4344=1 mod 8689

5*5*601 = 15025

92, 82u=92, v=83

a=1575,b=15272,c=15353

alpha/2 = 9 / 175
= 3426 mod 8689

(3127, 3861i) 1086=1 mod 8689

13*1181 = 15353

92, 84u=92, v=85

a=1239,b=15640,c=15689

alpha/2 = 7 / 177
= 3780 mod 8689

(61, 4024i) 12=1 mod 8689

29*541 = 15689

92, 86u=92, v=87

a=895,b=16008,c=16033

alpha/2 = 5 / 179
= 2864 mod 8689

(1002, 2359i) 1086=1 mod 8689

16033

92, 88u=92, v=89

a=543,b=16376,c=16385

alpha/2 = 3 / 181
= 8545 mod 8689

(314, 1627i) 2172=1 mod 8689

5*29*113 = 16385

92, 90u=92, v=91 f(u,91)=u2+8281;↓

a=183,b=16744,c=16745

alpha/2 = 1 / 183
= 6220 mod 8689

(2211, 3953i) 1448=1 mod 8689

5*17*197 = 16745

93, 1u=93, v=2 → 83, 42

a=8645,b=372,c=8653

alpha/2 = 91 / 95
= 2379 mod 8689

(2886, 3863i) 2172=1 mod 8689

17*509 = 8653

93, 3u=93, v=4 → 72, 59

a=8633,b=744,c=8665

alpha/2 = 89 / 97
= 1255 mod 8689

(31, 2894i) 181=1 mod 8689

5*1733 = 8665

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

a=8585,b=1488,c=8713

alpha/2 = 85 / 101
= 3356 mod 8689

(62, 2892i) 2172=1 mod 8689

8713

93, 9u=93, v=10 → 82, 45

a=8549,b=1860,c=8749

alpha/2 = 83 / 103
= 4978 mod 8689

(31, 2894i) 181=1 mod 8689

13*673 = 8749

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

a=8453,b=2604,c=8845

alpha/2 = 79 / 107
= 894 mod 8689

(3786, 4027i) 1448=1 mod 8689

5*29*61 = 8845

93, 15u=93, v=16 → 72, 61

a=8393,b=2976,c=8905

alpha/2 = 77 / 109
= 479 mod 8689

(645, 3848i) 2172=1 mod 8689

5*13*137 = 8905

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

a=8249,b=3720,c=9049

alpha/2 = 73 / 113
= 5537 mod 8689

(2886, 3863i) 2172=1 mod 8689

9049

93, 21u=93, v=22

a=8165,b=4092,c=9133

alpha/2 = 71 / 115
= 3854 mod 8689

(2193, 2574i) 4344=1 mod 8689

9133

93, 2393, 2493, 25u=93, v=26 → 82, 51

a=7973,b=4836,c=9325

alpha/2 = 67 / 119
= 1899 mod 8689

(600, 1140i) 4344=1 mod 8689

5*5*373 = 9325

93, 27u=93, v=28

a=7865,b=5208,c=9433

alpha/2 = 65 / 121
= 6248 mod 8689

(7, 2150i) 543=1 mod 8689

9433

93, 2993, 3093, 31u=93, v=32 → 72, 67

a=7625,b=5952,c=9673

alpha/2 = 61 / 125
= 70 mod 8689

(1202, 2749i) 4344=1 mod 8689

17*569 = 9673

93, 33u=93, v=34 → 78, 61 → 99, 2

a=7493,b=6324,c=9805

alpha/2 = 59 / 127
= 3695 mod 8689

(2902, 4330i) 724=1 mod 8689

5*37*53 = 9805

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

a=7205,b=7068,c=10093

alpha/2 = 55 / 131
= 1128 mod 8689

(1406, 3442i) 4344=1 mod 8689

10093

93, 39u=93, v=40 → 75, 68

a=7049,b=7440,c=10249

alpha/2 = 53 / 133
= 1699 mod 8689

(1332, 2229i) 4344=1 mod 8689

37*277 = 10249

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

a=6713,b=8184,c=10585

alpha/2 = 49 / 137
= 6089 mod 8689

(2754, 3264i) 4344=1 mod 8689

5*29*73 = 10585

93, 45u=93, v=46

a=6533,b=8556,c=10765

alpha/2 = 47 / 139
= 938 mod 8689

(3319, 3498i) 1448=1 mod 8689

5*2153 = 10765

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

a=6149,b=9300,c=11149

alpha/2 = 43 / 143
= 5955 mod 8689

(632, 3957i) 1448=1 mod 8689

11149

93, 51u=93, v=52

a=5945,b=9672,c=11353

alpha/2 = 41 / 145
= 5753 mod 8689

(1014, 2530i) 1448=1 mod 8689

11353

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

a=5513,b=10416,c=11785

alpha/2 = 37 / 149
= 6240 mod 8689

(248, 879i) 4344=1 mod 8689

5*2357 = 11785

93, 57u=93, v=58 → 78, 77

a=5285,b=10788,c=12013

alpha/2 = 35 / 151
= 7711 mod 8689

(1078, 2914i) 2172=1 mod 8689

41*293 = 12013

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

a=4553,b=11904,c=12745

alpha/2 = 29 / 157
= 775 mod 8689

(2484, 3859i) 1086=1 mod 8689

5*2549 = 12745

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

a=4025,b=12648,c=13273

alpha/2 = 25 / 161
= 270 mod 8689

(1504, 2033i) 1448=1 mod 8689

13*1021 = 13273

93, 69u=93, v=70

a=3749,b=13020,c=13549

alpha/2 = 23 / 163
= 3625 mod 8689

(1322, 4079i) 543=1 mod 8689

17*797 = 13549

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

a=3173,b=13764,c=14125

alpha/2 = 19 / 167
= 3278 mod 8689

(2491, 3249i) 4344=1 mod 8689

5*5*5*113 = 14125

93, 75u=93, v=76 → 99, 68

a=2873,b=14136,c=14425

alpha/2 = 17 / 169
= 360 mod 8689

(875, 2556i) 724=1 mod 8689

5*5*577 = 14425

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

a=2249,b=14880,c=15049

alpha/2 = 13 / 173
= 5776 mod 8689

(928, 986i) 4344=1 mod 8689

101*149 = 15049

93, 81u=93, v=82

a=1925,b=15252,c=15373

alpha/2 = 11 / 175
= 1291 mod 8689

(521, 3559i) 1448=1 mod 8689

15373

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

a=1253,b=15996,c=16045

alpha/2 = 7 / 179
= 534 mod 8689

(12, 2815i) 4344=1 mod 8689

5*3209 = 16045

93, 87u=93, v=88

a=905,b=16368,c=16393

alpha/2 = 5 / 181
= 8449 mod 8689

(793, 837i) 4344=1 mod 8689

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
= 1456 mod 8689

(2329, 3770i) 4344=1 mod 8689

109*157 = 17113

u=94, v=1 f(94,v)=8836+v2;→

a=8835,b=188,c=8837

alpha/2 = 93 / 95
= 1190 mod 8689

(3289, 3639i) 4344=1 mod 8689

8837

94, 2u=94, v=3 → 67, 66

a=8827,b=564,c=8845

alpha/2 = 91 / 97
= 5286 mod 8689

(672, 3677i) 4344=1 mod 8689

5*29*61 = 8845

94, 4u=94, v=5

a=8811,b=940,c=8861

alpha/2 = 89 / 99
= 2985 mod 8689

(3739, 4238i) 1448=1 mod 8689

8861

94, 6u=94, v=7 → 71, 62

a=8787,b=1316,c=8885

alpha/2 = 87 / 101
= 6195 mod 8689

(1248, 4344i) 6=1 mod 8689

5*1777 = 8885

94, 8u=94, v=9 → 86, 39

a=8755,b=1692,c=8917

alpha/2 = 85 / 103
= 7087 mod 8689

(1143, 2294i) 2172=1 mod 8689

37*241 = 8917

94, 10u=94, v=11 → 74, 59

a=8715,b=2068,c=8957

alpha/2 = 83 / 105
= 7283 mod 8689

(454, 4028i) 4344=1 mod 8689

13*13*53 = 8957

94, 12u=94, v=13 → 83, 46

a=8667,b=2444,c=9005

alpha/2 = 81 / 107
= 6416 mod 8689

(605, 2302i) 4344=1 mod 8689

5*1801 = 9005

94, 14u=94, v=15 → 81, 50 → 95, 6

a=8611,b=2820,c=9061

alpha/2 = 79 / 109
= 8052 mod 8689

(553, 4064i) 362=1 mod 8689

13*17*41 = 9061

94, 16u=94, v=17 → 82, 49

a=8547,b=3196,c=9125

alpha/2 = 77 / 111
= 1488 mod 8689

(2431, 2703i) 724=1 mod 8689

5*5*5*73 = 9125

94, 18u=94, v=19 → 74, 61

a=8475,b=3572,c=9197

alpha/2 = 75 / 113
= 6998 mod 8689

(3277, 3866i) 1448=1 mod 8689

17*541 = 9197

94, 20u=94, v=21

a=8395,b=3948,c=9277

alpha/2 = 73 / 115
= 2494 mod 8689

(1248, 4344i) 6=1 mod 8689

9277

94, 22u=94, v=23 → 89, 38

a=8307,b=4324,c=9365

alpha/2 = 71 / 117
= 3194 mod 8689

(489, 2153i) 2172=1 mod 8689

5*1873 = 9365

94, 24u=94, v=25

a=8211,b=4700,c=9461

alpha/2 = 69 / 119
= 1826 mod 8689

(1914, 1987i) 543=1 mod 8689

9461

94, 26u=94, v=27 → 78, 59

a=8107,b=5076,c=9565

alpha/2 = 67 / 121
= 3232 mod 8689

(3446, 3631i) 2172=1 mod 8689

5*1913 = 9565

94, 28u=94, v=29

a=7995,b=5452,c=9677

alpha/2 = 65 / 123
= 3462 mod 8689

(1483, 2409i) 1448=1 mod 8689

9677

94, 30u=94, v=31 → 86, 49

a=7875,b=5828,c=9797

alpha/2 = 63 / 125
= 5770 mod 8689

(360, 528i) 2172=1 mod 8689

97*101 = 9797

94, 32u=94, v=33 → 81, 58

a=7747,b=6204,c=9925

alpha/2 = 61 / 127
= 2053 mod 8689

(2114, 2405i) 4344=1 mod 8689

5*5*397 = 9925

94, 34u=94, v=35

a=7611,b=6580,c=10061

alpha/2 = 59 / 129
= 3503 mod 8689

(3104, 3374i) 724=1 mod 8689

10061

94, 36u=94, v=37 → 82, 59

a=7467,b=6956,c=10205

alpha/2 = 57 / 131
= 1327 mod 8689

(3199, 3847i) 724=1 mod 8689

5*13*157 = 10205

94, 38u=94, v=39

a=7315,b=7332,c=10357

alpha/2 = 55 / 133
= 2091 mod 8689

(2470, 3505i) 724=1 mod 8689

10357

94, 40u=94, v=41 → 74, 71

a=7155,b=7708,c=10517

alpha/2 = 53 / 135
= 2768 mod 8689

(2406, 4035i) 181=1 mod 8689

13*809 = 10517

94, 42u=94, v=43

a=6987,b=8084,c=10685

alpha/2 = 51 / 137
= 2791 mod 8689

(478, 4009i) 1448=1 mod 8689

5*2137 = 10685

94, 44u=94, v=45

a=6811,b=8460,c=10861

alpha/2 = 49 / 139
= 3751 mod 8689

(916, 1177i) 724=1 mod 8689

10861

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

a=6435,b=9212,c=11237

alpha/2 = 45 / 143
= 3403 mod 8689

(672, 3677i) 4344=1 mod 8689

17*661 = 11237

94, 50u=94, v=51

a=6235,b=9588,c=11437

alpha/2 = 43 / 145
= 4974 mod 8689

(338, 739i) 4344=1 mod 8689

11437

94, 52u=94, v=53 → 91, 58

a=6027,b=9964,c=11645

alpha/2 = 41 / 147
= 1478 mod 8689

(1332, 2229i) 4344=1 mod 8689

5*17*137 = 11645

94, 54u=94, v=55

a=5811,b=10340,c=11861

alpha/2 = 39 / 149
= 8456 mod 8689

(105, 1603i) 4344=1 mod 8689

29*409 = 11861

94, 56u=94, v=57

a=5587,b=10716,c=12085

alpha/2 = 37 / 151
= 3683 mod 8689

(354, 433i) 1086=1 mod 8689

5*2417 = 12085

94, 58u=94, v=59

a=5355,b=11092,c=12317

alpha/2 = 35 / 153
= 1420 mod 8689

(1299, 2513i) 4344=1 mod 8689

109*113 = 12317

94, 60u=94, v=61

a=5115,b=11468,c=12557

alpha/2 = 33 / 155
= 2691 mod 8689

(2126, 3705i) 543=1 mod 8689

29*433 = 12557

94, 62u=94, v=63

a=4867,b=11844,c=12805

alpha/2 = 31 / 157
= 5922 mod 8689

(1861, 3189i) 2172=1 mod 8689

5*13*197 = 12805

94, 64u=94, v=65

a=4611,b=12220,c=13061

alpha/2 = 29 / 159
= 8252 mod 8689

(2676, 3604i) 1448=1 mod 8689

37*353 = 13061

94, 66u=94, v=67 → 86, 77 → 98, 61

a=4347,b=12596,c=13325

alpha/2 = 27 / 161
= 5505 mod 8689

(3024, 4188i) 1086=1 mod 8689

5*5*13*41 = 13325

94, 68u=94, v=69

a=4075,b=12972,c=13597

alpha/2 = 25 / 163
= 4318 mod 8689

(555, 2644i) 2172=1 mod 8689

13597

94, 70u=94, v=71

a=3795,b=13348,c=13877

alpha/2 = 23 / 165
= 7004 mod 8689

(706, 902i) 4344=1 mod 8689

13877

94, 72u=94, v=73

a=3507,b=13724,c=14165

alpha/2 = 21 / 167
= 4995 mod 8689

(569, 853i) 2172=1 mod 8689

5*2833 = 14165

94, 74u=94, v=75

a=3211,b=14100,c=14461

alpha/2 = 19 / 169
= 7558 mod 8689

(2364, 3659i) 2172=1 mod 8689

14461

94, 76u=94, v=77

a=2907,b=14476,c=14765

alpha/2 = 17 / 171
= 3557 mod 8689

(1564, 2944i) 1086=1 mod 8689

5*2953 = 14765

94, 78u=94, v=79

a=2595,b=14852,c=15077

alpha/2 = 15 / 173
= 7333 mod 8689

(486, 1347i) 4344=1 mod 8689

15077

94, 80u=94, v=81

a=2275,b=15228,c=15397

alpha/2 = 13 / 175
= 7845 mod 8689

(3453, 4328i) 2172=1 mod 8689

89*173 = 15397

94, 82u=94, v=83

a=1947,b=15604,c=15725

alpha/2 = 11 / 177
= 5940 mod 8689

(1355, 2685i) 1448=1 mod 8689

5*5*17*37 = 15725

94, 84u=94, v=85

a=1611,b=15980,c=16061

alpha/2 = 9 / 179
= 6893 mod 8689

(375, 2651i) 4344=1 mod 8689

16061

94, 86u=94, v=87

a=1267,b=16356,c=16405

alpha/2 = 7 / 181
= 8353 mod 8689

(1749, 3187i) 362=1 mod 8689

5*17*193 = 16405

94, 88u=94, v=89

a=915,b=16732,c=16757

alpha/2 = 5 / 183
= 5033 mod 8689

(71, 2562i) 362=1 mod 8689

13*1289 = 16757

94, 90u=94, v=91

a=555,b=17108,c=17117

alpha/2 = 3 / 185
= 4368 mod 8689

(102, 2398i) 4344=1 mod 8689

17117

94, 92u=94, v=93 f(u,93)=u2+8649;↓

a=187,b=17484,c=17485

alpha/2 = 1 / 187
= 6691 mod 8689

(2760, 3656i) 1448=1 mod 8689

5*13*269 = 17485

95, 1u=95, v=2

a=9021,b=380,c=9029

alpha/2 = 93 / 97
= 628 mod 8689

(510, 1841i) 362=1 mod 8689

9029

95, 3u=95, v=4

a=9009,b=760,c=9041

alpha/2 = 91 / 99
= 4126 mod 8689

(789, 2960i) 1448=1 mod 8689

9041

95, 5u=95, v=6 → 81, 50

a=8989,b=1140,c=9061

alpha/2 = 89 / 101
= 345 mod 8689

(3084, 3921i) 724=1 mod 8689

13*17*41 = 9061

95, 7u=95, v=8 → 92, 25

a=8961,b=1520,c=9089

alpha/2 = 87 / 103
= 507 mod 8689

(1042, 1734i) 181=1 mod 8689

61*149 = 9089

95, 995, 1095, 11u=95, v=12 → 87, 40

a=8881,b=2280,c=9169

alpha/2 = 83 / 107
= 3249 mod 8689

(2177, 3476i) 181=1 mod 8689

53*173 = 9169

95, 13u=95, v=14

a=8829,b=2660,c=9221

alpha/2 = 81 / 109
= 6936 mod 8689

(5, 1829i) 2172=1 mod 8689

9221

95, 15u=95, v=16

a=8769,b=3040,c=9281

alpha/2 = 79 / 111
= 3445 mod 8689

(1644, 1649i) 4344=1 mod 8689

9281

95, 17u=95, v=18

a=8701,b=3420,c=9349

alpha/2 = 77 / 113
= 8459 mod 8689

(158, 1585i) 1448=1 mod 8689

9349

95, 1995, 2095, 21u=95, v=22 → 97, 10

a=8541,b=4180,c=9509

alpha/2 = 73 / 117
= 6833 mod 8689

(2840, 3184i) 4344=1 mod 8689

37*257 = 9509

95, 23u=95, v=24

a=8449,b=4560,c=9601

alpha/2 = 71 / 119
= 1753 mod 8689

(5, 1829i) 2172=1 mod 8689

9601

95, 25u=95, v=26 → 74, 65

a=8349,b=4940,c=9701

alpha/2 = 69 / 121
= 216 mod 8689

(1781, 2164i) 4344=1 mod 8689

89*109 = 9701

95, 27u=95, v=28 → 97, 20

a=8241,b=5320,c=9809

alpha/2 = 67 / 123
= 5440 mod 8689

(2177, 3476i) 181=1 mod 8689

17*577 = 9809

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

a=8001,b=6080,c=10049

alpha/2 = 63 / 127
= 411 mod 8689

(2040, 3885i) 362=1 mod 8689

13*773 = 10049

95, 33u=95, v=34

a=7869,b=6460,c=10181

alpha/2 = 61 / 129
= 5389 mod 8689

(1142, 2427i) 4344=1 mod 8689

10181

95, 35u=95, v=36

a=7729,b=6840,c=10321

alpha/2 = 59 / 131
= 1526 mod 8689

(2432, 2555i) 181=1 mod 8689

10321

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

a=7261,b=7980,c=10789

alpha/2 = 53 / 137
= 8182 mod 8689

(1042, 1734i) 181=1 mod 8689

10789

95, 43u=95, v=44

a=7089,b=8360,c=10961

alpha/2 = 51 / 139
= 6564 mod 8689

(1835, 1985i) 181=1 mod 8689

97*113 = 10961

95, 45u=95, v=46 → 79, 70

a=6909,b=8740,c=11141

alpha/2 = 49 / 141
= 6779 mod 8689

(1910, 3190i) 1448=1 mod 8689

13*857 = 11141

95, 47u=95, v=48

a=6721,b=9120,c=11329

alpha/2 = 47 / 143
= 851 mod 8689

(2211, 3953i) 1448=1 mod 8689

11329

95, 4995, 5095, 51u=95, v=52 → 80, 73

a=6321,b=9880,c=11729

alpha/2 = 43 / 147
= 4729 mod 8689

(548, 2169i) 2172=1 mod 8689

37*317 = 11729

95, 53u=95, v=54

a=6109,b=10260,c=11941

alpha/2 = 41 / 149
= 1983 mod 8689

(2662, 4165i) 543=1 mod 8689

11941

95, 55u=95, v=56

a=5889,b=10640,c=12161

alpha/2 = 39 / 151
= 8344 mod 8689

(3084, 3921i) 724=1 mod 8689

12161

95, 57u=95, v=58

a=5661,b=11020,c=12389

alpha/2 = 37 / 153
= 5225 mod 8689

(2000, 2868i) 4344=1 mod 8689

13*953 = 12389

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

a=5181,b=11780,c=12869

alpha/2 = 33 / 157
= 2380 mod 8689

(1577, 2768i) 4344=1 mod 8689

17*757 = 12869

95, 63u=95, v=64

a=4929,b=12160,c=13121

alpha/2 = 31 / 159
= 7323 mod 8689

(1036, 1132i) 724=1 mod 8689

13121

95, 65u=95, v=66

a=4669,b=12540,c=13381

alpha/2 = 29 / 161
= 2051 mod 8689

(464, 2512i) 1086=1 mod 8689

13381

95, 67u=95, v=68

a=4401,b=12920,c=13649

alpha/2 = 27 / 163
= 5011 mod 8689

(2315, 3028i) 724=1 mod 8689

13649

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

a=3841,b=13680,c=14209

alpha/2 = 23 / 167
= 6712 mod 8689

(832, 2642i) 543=1 mod 8689

13*1093 = 14209

95, 73u=95, v=74

a=3549,b=14060,c=14501

alpha/2 = 21 / 169
= 6067 mod 8689

(128, 633i) 4344=1 mod 8689

17*853 = 14501

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

a=2941,b=14820,c=15109

alpha/2 = 17 / 173
= 201 mod 8689

(2096, 4225i) 4344=1 mod 8689

29*521 = 15109

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

a=2301,b=15580,c=15749

alpha/2 = 13 / 177
= 7020 mod 8689

(1996, 3583i) 2172=1 mod 8689

15749

95, 83u=95, v=84

a=1969,b=15960,c=16081

alpha/2 = 11 / 179
= 4563 mod 8689

(789, 2960i) 1448=1 mod 8689

13*1237 = 16081

95, 85u=95, v=86

a=1629,b=16340,c=16421

alpha/2 = 9 / 181
= 8257 mod 8689

(1935, 2208i) 2172=1 mod 8689

16421

95, 87u=95, v=88

a=1281,b=16720,c=16769

alpha/2 = 7 / 183
= 95 mod 8689

(1496, 3095i) 4344=1 mod 8689

41*409 = 16769

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

a=561,b=17480,c=17489

alpha/2 = 3 / 187
= 2695 mod 8689

(2813, 4228i) 1448=1 mod 8689

17489

95, 93u=95, v=94 f(u,94)=u2+8836;↓

a=189,b=17860,c=17861

alpha/2 = 1 / 189
= 1747 mod 8689

(3473, 4156i) 724=1 mod 8689

53*337 = 17861

u=96, v=1 f(96,v)=9216+v2;→ → 89, 36

a=9215,b=192,c=9217

alpha/2 = 95 / 97
= 4659 mod 8689

(756, 3160i) 4344=1 mod 8689

13*709 = 9217

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

a=9191,b=960,c=9241

alpha/2 = 91 / 101
= 3184 mod 8689

(3024, 4188i) 1086=1 mod 8689

9241

96, 6u=96, v=7 → 81, 52

a=9167,b=1344,c=9265

alpha/2 = 89 / 103
= 2616 mod 8689

(31, 2894i) 181=1 mod 8689

5*17*109 = 9265

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

a=9095,b=2112,c=9337

alpha/2 = 85 / 107
= 82 mod 8689

(938, 1284i) 543=1 mod 8689

9337

96, 12u=96, v=13 → 69, 68

a=9047,b=2496,c=9385

alpha/2 = 83 / 109
= 5820 mod 8689

(1173, 2693i) 1448=1 mod 8689

5*1877 = 9385

96, 1496, 1596, 16u=96, v=17 → 87, 44

a=8927,b=3264,c=9505

alpha/2 = 79 / 113
= 1231 mod 8689

(4, 2534i) 362=1 mod 8689

5*1901 = 9505

96, 18u=96, v=19 → 91, 36

a=8855,b=3648,c=9577

alpha/2 = 77 / 115
= 8463 mod 8689

(3057, 4012i) 1448=1 mod 8689

61*157 = 9577

96, 2096, 2196, 22u=96, v=23 → 76, 63

a=8687,b=4416,c=9745

alpha/2 = 73 / 119
= 1680 mod 8689

(1584, 3966i) 1448=1 mod 8689

5*1949 = 9745

96, 24u=96, v=25 → 79, 60

a=8591,b=4800,c=9841

alpha/2 = 71 / 121
= 5889 mod 8689

(15, 1444i) 543=1 mod 8689

13*757 = 9841

96, 2696, 2796, 28u=96, v=29 → 99, 16

a=8375,b=5568,c=10057

alpha/2 = 67 / 125
= 8481 mod 8689

(1063, 3671i) 1086=1 mod 8689

89*113 = 10057

96, 30u=96, v=31

a=8255,b=5952,c=10177

alpha/2 = 65 / 127
= 7458 mod 8689

(4, 2534i) 362=1 mod 8689

10177

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

a=7991,b=6720,c=10441

alpha/2 = 61 / 131
= 1725 mod 8689

(718, 2252i) 543=1 mod 8689

53*197 = 10441

96, 36u=96, v=37 → 91, 48 → 99, 28

a=7847,b=7104,c=10585

alpha/2 = 59 / 133
= 2875 mod 8689

(2196, 2411i) 4344=1 mod 8689

5*29*73 = 10585

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

a=7535,b=7872,c=10897

alpha/2 = 55 / 137
= 4884 mod 8689

(752, 1126i) 1086=1 mod 8689

17*641 = 10897

96, 42u=96, v=43 → 92, 51

a=7367,b=8256,c=11065

alpha/2 = 53 / 139
= 688 mod 8689

(3595, 3693i) 1448=1 mod 8689

5*2213 = 11065

96, 4496, 4596, 46u=96, v=47 → 79, 72

a=7007,b=9024,c=11425

alpha/2 = 49 / 143
= 6988 mod 8689

(1835, 1985i) 181=1 mod 8689

5*5*457 = 11425

96, 48u=96, v=49

a=6815,b=9408,c=11617

alpha/2 = 47 / 145
= 3416 mod 8689

(709, 2986i) 1086=1 mod 8689

11617

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

a=6407,b=10176,c=12025

alpha/2 = 43 / 149
= 4199 mod 8689

(2755, 3185i) 2172=1 mod 8689

5*5*13*37 = 12025

96, 54u=96, v=55

a=6191,b=10560,c=12241

alpha/2 = 41 / 151
= 4316 mod 8689

(1170, 1412i) 1448=1 mod 8689

12241

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

a=5735,b=11328,c=12697

alpha/2 = 37 / 155
= 4597 mod 8689

(1037, 3171i) 1448=1 mod 8689

12697

96, 60u=96, v=61 → 99, 56

a=5495,b=11712,c=12937

alpha/2 = 35 / 157
= 7527 mod 8689

(2353, 2850i) 181=1 mod 8689

17*761 = 12937

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

a=4991,b=12480,c=13441

alpha/2 = 31 / 161
= 7286 mod 8689

(617, 1846i) 4344=1 mod 8689

13441

96, 66u=96, v=67

a=4727,b=12864,c=13705

alpha/2 = 29 / 163
= 5704 mod 8689

(3739, 4238i) 1448=1 mod 8689

5*2741 = 13705

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

a=4175,b=13632,c=14257

alpha/2 = 25 / 167
= 8429 mod 8689

(3593, 4197i) 4344=1 mod 8689

53*269 = 14257

96, 72u=96, v=73

a=3887,b=14016,c=14545

alpha/2 = 23 / 169
= 4576 mod 8689

(2851, 3986i) 543=1 mod 8689

5*2909 = 14545

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

a=3287,b=14784,c=15145

alpha/2 = 19 / 173
= 1758 mod 8689

(293, 4201i) 181=1 mod 8689

5*13*233 = 15145

96, 78u=96, v=79

a=2975,b=15168,c=15457

alpha/2 = 17 / 175
= 3575 mod 8689

(614, 1847i) 4344=1 mod 8689

13*29*41 = 15457

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

a=2327,b=15936,c=16105

alpha/2 = 13 / 179
= 2233 mod 8689

(592, 1207i) 4344=1 mod 8689

5*3221 = 16105

96, 84u=96, v=85

a=1991,b=16320,c=16441

alpha/2 = 11 / 181
= 8161 mod 8689

(647, 2746i) 543=1 mod 8689

41*401 = 16441

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

a=1295,b=17088,c=17137

alpha/2 = 7 / 185
= 1503 mod 8689

(1581, 4145i) 4344=1 mod 8689

17137

96, 90u=96, v=91

a=935,b=17472,c=17497

alpha/2 = 5 / 187
= 7388 mod 8689

(3431, 3716i) 181=1 mod 8689

17497

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

a=191,b=18240,c=18241

alpha/2 = 1 / 191
= 5823 mod 8689

(916, 1177i) 724=1 mod 8689

17*29*37 = 18241

97, 1u=97, v=2

a=9405,b=388,c=9413

alpha/2 = 95 / 99
= 6408 mod 8689

(97, 4033i) 543=1 mod 8689

9413

97, 3u=97, v=4 → 73, 64

a=9393,b=776,c=9425

alpha/2 = 93 / 101
= 6023 mod 8689

(3401, 4249i) 724=1 mod 8689

5*5*13*29 = 9425

97, 5u=97, v=6 → 74, 63

a=9373,b=1164,c=9445

alpha/2 = 91 / 103
= 4725 mod 8689

(3311, 4274i) 2172=1 mod 8689

5*1889 = 9445

97, 7u=97, v=8

a=9345,b=1552,c=9473

alpha/2 = 89 / 105
= 5297 mod 8689

(530, 4255i) 1086=1 mod 8689

9473

97, 9u=97, v=10 → 95, 22

a=9309,b=1940,c=9509

alpha/2 = 87 / 107
= 5604 mod 8689

(1062, 3602i) 4344=1 mod 8689

37*257 = 9509

97, 11u=97, v=12 → 92, 33

a=9265,b=2328,c=9553

alpha/2 = 85 / 109
= 4704 mod 8689

(2897, 3135i) 2172=1 mod 8689

41*233 = 9553

97, 13u=97, v=14 → 79, 58 → 98, 1

a=9213,b=2716,c=9605

alpha/2 = 83 / 111
= 7359 mod 8689

(648, 2959i) 1448=1 mod 8689

5*17*113 = 9605

97, 15u=97, v=16 → 71, 68

a=9153,b=3104,c=9665

alpha/2 = 81 / 113
= 2692 mod 8689

(2422, 3273i) 1086=1 mod 8689

5*1933 = 9665

97, 17u=97, v=18

a=9085,b=3492,c=9733

alpha/2 = 79 / 115
= 7103 mod 8689

(300, 2094i) 1448=1 mod 8689

9733

97, 19u=97, v=20 → 95, 28

a=9009,b=3880,c=9809

alpha/2 = 77 / 117
= 5422 mod 8689

(1241, 3417i) 543=1 mod 8689

17*577 = 9809

97, 21u=97, v=22 → 98, 17

a=8925,b=4268,c=9893

alpha/2 = 75 / 119
= 1607 mod 8689

(260, 747i) 4344=1 mod 8689

13*761 = 9893

97, 23u=97, v=24 → 92, 39

a=8833,b=4656,c=9985

alpha/2 = 73 / 121
= 2873 mod 8689

(1931, 4180i) 1086=1 mod 8689

5*1997 = 9985

97, 25u=97, v=26 → 79, 62

a=8733,b=5044,c=10085

alpha/2 = 71 / 123
= 707 mod 8689

(249, 2262i) 543=1 mod 8689

5*2017 = 10085

97, 27u=97, v=28

a=8625,b=5432,c=10193

alpha/2 = 69 / 125
= 5492 mod 8689

(2958, 3093i) 1448=1 mod 8689

10193

97, 29u=97, v=30 → 90, 47

a=8509,b=5820,c=10309

alpha/2 = 67 / 127
= 5816 mod 8689

(1931, 4180i) 1086=1 mod 8689

13*13*