Inhaltsverzeichnis

Development of
Algorithmic Constructions

15:25:16
Deutsch
29.Mar 2024

Results for the primes distribution on quadratic polynomials

The following tables show a comparison between the primes distribution concerning 239 quadratic irreducible polynomials.
The calculation for all polynomial needed appr. 3 days on Amd Fx(tm) 6300, 2 Ghz, with 32GB Ram with the use of 6 cores.
The calculation for all polynomials was done from n=0 up to n=2^32. The prime density is the quotient of all primes, which appear for the first time and the max n multiply by 100.

A. Graphic for the distribution of the polynomials

B. Table of the polynomials sorted by the discriminant

C. Table of the polynomials sorted by the density of primes

D. Table of the polynomials sorted by b and c mod 4 of the polynomial f(n)=n^2+bn+c


A. Graphic for the distribution of the polynomials

B. Table of the polynomials sorted by the discriminant

number

a

b

c

prime density

disriminant=b^2-4c

b mod 4

c mod 4

polynomial

1.

1

0

163

73,5004

-163

0

3

n²+163

2.

1

-8

167

66,7867

-151

0

3

n²-8n+167

3.

1

-16

191

67,5882

-127

0

3

n²-16n+191

4.

1

0

103

67,2888

-103

0

3

n²+103

5.

1

0

79

66,9893

-79

0

3

n²+79

6.

1

-12

107

66,1673

-71

0

3

n²-12n+107

7.

1

0

67

69,8590

-67

0

3

n²+67

8.

1

0

47

66,6328

-47

0

3

n²+47

9.

1

0

43

68,7866

-43

0

3

n²+43

10.

1

0

37

71,3339

-37

0

1

n²+37

11.

1

8

47

67,4146

-31

0

3

n²+8n+47

12.

1

0

23

67,2851

-23

0

3

n²+23

13.

1

0

19

67,6174

-19

0

3

n²+19

14.

1

0

13

68,9431

-13

0

1

n²+13

15.

1

0

11

67,2655

-11

0

3

n²+11

16.

1

0

7

68,8349

-7

0

3

n²+7

17.

1

0

5

68,1140

-5

0

1

n²+5

18.

1

0

3

68,8361

-3

0

3

n²+3

19.

1

0

2

68,9933

-2

0

2

n²+2

20.

1

0

1

69,9637

-1

0

1

n²+1

21.

1

0

-2

71,0333

2

0

2

n²-2

22.

1

0

-3

70,5493

3

0

1

n²-3

23.

1

0

-5

70,1504

5

0

3

n²-5

24.

1

0

-7

69,4821

7

0

1

n²-7

25.

1

0

-11

69,5431

11

0

1

n²-11

26.

1

0

-13

68,8654

13

0

3

n²-13

27.

1

0

-17

69,6678

17

0

3

n²-17

28.

1

8

-3

68,5203

19

0

1

n²+8n-3

29.

1

0

-23

69,6032

23

0

1

n²-23

30.

1

1

-7

70,2370

29

1

1

n²+n-7

31.

1

-12

5

68,1569

31

0

1

n²-12n+5

32.

1

3

-7

69,5615

37

3

1

n²+3n-7

33.

1

0

-41

68,7623

41

0

3

n²-41

34.

1

12

-7

68,2016

43

0

1

n²+12n-7

35.

1

0

-47

70,1341

47

0

1

n²-47

36.

1

1

-13

70,3771

53

1

3

n²+n-13

37.

1

8

-43

69,0873

59

0

1

n²+8n-43

38.

1

7

-3

69,0654

61

3

1

n²+7n-3

39.

1

16

-3

67,9631

67

0

1

n²+16n-3

40.

1

16

-7

68,5831

71

0

1

n²+16n-7

41.

1

12

-37

67,8817

73

0

3

n²+12n-37

42.

1

0

-83

70,9010

83

0

1

n²-83

43.

1

8

-73

68,1805

89

0

3

n²+8n-73

44.

1

0

-97

67,6412

97

0

3

n²-97

45.

1

3

-23

69,9757

101

3

1

n²+3n-23

46.

1

20

-3

68,1293

103

0

1

n²+20n-3

47.

1

12

-71

69,7468

107

0

1

n²+12n-71

48.

1

9

-7

68,5426

109

1

1

n²+9n-7

49.

1

0

-113

68,2308

113

0

3

n²-113

50.

1

-24

17

67,7570

127

0

1

n²-24n+17

51.

1

20

-31

69,1244

131

0

1

n²+20n-31

52.

1

12

-101

68,1501

137

0

3

n²+12n-101

53.

1

24

5

67,4213

139

0

1

n²+24n+5

54.

1

9

-17

69,5219

149

1

3

n²+9n-17

55.

1

13

3

69,0145

157

1

3

n²+13n+3

56.

1

24

-19

67,6178

163

0

1

n²+24n-19

57.

1

0

-167

72,3307

167

0

1

n²-167

58.

1

1

-43

71,4546

173

1

1

n²+n-43

59.

1

-28

17

67,9321

179

0

1

n²-28n+17

60.

1

13

-3

68,3741

181

1

1

n²+13n-3

61.

1

-28

5

67,8649

191

0

1

n²-28n+5

62.

1

28

3

67,0474

193

0

3

n²+28n+3

63.

1

3

-47

70,6532

197

3

1

n²+3n-47

64.

1

-28

-3

67,1048

199

0

1

n²-28n-3

65.

1

58

-3

65,6041

211

2

1

n²+58n-3

66.

1

12

-191

73,2198

227

0

1

n²+12n-191

67.

1

62

29

67,9582

233

2

1

n²+62n+29

68.

1

-32

17

68,3223

239

0

1

n²-32n+17

69.

1

-36

83

66,7093

241

0

3

n²-36n+83

70.

1

32

5

68,4822

251

0

1

n²+32n+5

71.

1

20

-157

68,2002

257

0

3

n²+20n-157

72.

1

28

-67

69,4291

263

0

1

n²+28n-67

73.

1

15

-11

69,6663

269

3

1

n²+15n-11

74.

1

-66

5

66,0612

271

2

1

n²-66n+5

75.

1

15

-13

68,5868

277

3

3

n²+15n-13

76.

1

20

-181

67,3513

281

0

3

n²+20n-181

77.

1

-36

41

68,4043

283

0

1

n²-36n+41

78.

1

1

-73

72,3969

293

1

3

n²+n-73

79.

1

70

-3

67,4644

307

2

1

n²+70n-3

80.

1

-36

13

68,5141

311

0

1

n²-36n+13

81.

1

36

11

66,8577

313

0

3

n²+36n+11

82.

1

13

-37

70,3783

317

1

3

n²+13n-37

83.

1

36

-13

66,6609

337

0

3

n²+36n-13

84.

1

36

-23

69,5258

347

0

1

n²+36n-23

85.

1

19

3

68,2511

349

3

3

n²+19n+3

86.

1

28

-157

68,2337

353

0

3

n²+28n-157

87.

1

36

-43

67,9768

367

0

1

n²+36n-43

88.

1

19

-3

68,4861

373

3

1

n²+19n-3

89.

1

32

-127

71,3484

383

0

1

n²+32n-127

90.

1

19

-7

68,7388

389

3

1

n²+19n-7

91.

1

21

11

69,0096

397

1

3

n²+21n+11

92.

1

-40

-19

68,4779

419

0

1

n²-40n-19

93.

1

82

-3

65,1429

421

2

1

n²+82n-3

94.

1

-44

53

68,7896

431

0

1

n²-44n+53

95.

1

-48

127

67,0067

449

0

3

n²-48n+127

96.

1

21

-5

70,1160

461

1

3

n²+21n-5

97.

1

86

-3

65,8955

463

2

1

n²+86n-3

98.

1

-44

17

69,8046

467

0

1

n²-44n+17

99.

1

-44

5

70,1190

479

0

1

n²-44n+5

100.

1

-44

-3

67,4311

487

0

1

n²-44n-3

101.

1

36

-179

72,1545

503

0

1

n²+36n-179

102.

1

19

-37

69,6910

509

3

3

n²+19n-37

103.

1

-48

53

68,4914

523

0

1

n²-48n+53

104.

1

21

-29

70,7497

557

1

3

n²+21n-29

105.

1

40

-163

71,9207

563

0

1

n²+40n-163

106.

1

48

7

66,9051

569

0

3

n²+48n+7

107.

1

48

-1

66,5915

577

0

3

n²+48n-1

108.

1

44

-103

70,3787

587

0

1

n²+44n-103

109.

1

-44

-109

68,5343

593

0

3

n²-44n-109

110.

1

-25

3

68,5035

613

3

3

n²-25n+3

111.

1

-56

167

67,6351

617

0

3

n²-56n+167

112.

1

19

-73

69,6788

653

3

3

n²+19n-73

113.

1

48

-97

66,2714

673

0

3

n²+48n-97

114.

1

3

-167

73,2220

677

3

1

n²+3n-167

115.

1

48

-107

69,5474

683

0

1

n²+48n-107

116.

1

23

-43

68,7762

701

3

1

n²+23n-43

117.

1

-56

41

72,0163

743

0

1

n²-56n+41

118.

1

27

-7

67,9157

757

3

1

n²+27n-7

119.

1

19

-103

72,1842

773

3

1

n²-222n+17

120.

1

56

-3

69,8801

787

0

1

n²+19n-103

121.

1

17

-127

71,1823

797

1

1

n²+56n-3

122.

1

56

-37

67,6261

821

0

3

n²+17n-127

123.

1

56

-43

72,3626

827

0

1

n²+56n-37

124.

1

27

-31

69,6400

853

3

1

n²+56n-43

125.

1

52

-181

68,5805

857

0

3

n²+27n-31

126.

1

-60

37

68,9886

863

0

1

n²+52n-181

127.

1

-118

-43

66,9833

881

2

1

n²-60n+37

128.

1

56

-103

72,6019

887

0

1

n²-118n-43

129.

1

-60

-29

67,1250

929

0

3

n²+56n-103

130.

1

31

5

71,1025

941

3

1

n²-60n-29

131.

1

56

-163

69,3232

947

0

1

n²+31n+5

132.

1

-68

179

67,4752

977

0

3

n²+56n-163

133.

1

60

-83

73,5356

983

0

1

n²-68n+179

134.

1

25

-97

71,0273

1013

1

3

n²+60n-83

135.

1

64

3

66,1050

1021

0

3

n²+25n-97

136.

1

-64

-7

68,0499

1031

0

1

n²+64n+3

137.

1

-68

107

66,9303

1049

0

3

n²-64n-7

138.

1

134

-3

67,2560

1123

2

1

n²-68n+107

139.

1

-72

167

65,4973

1129

0

3

n²+134n-3

140.

1

-68

5

69,8031

1151

0

1

n²-72n+167

141.

1

64

-139

70,5637

1163

0

1

n²-68n+5

142.

1

-35

11

69,6829

1181

1

3

n²+64n-139

143.

1

-68

-37

68,2071

1193

0

3

n²-35n+11

144.

1

68

-61

69,0910

1217

0

3

n²-68n-37

145.

1

138

-163

65,7932

1231

2

1

n²+68n-61

146.

1

33

-37

69,0017

1237

1

3

n²+138n-163

147.

1

-72

47

65,6667

1249

0

3

n²+33n-37

148.

1

-142

5

67,4095

1259

2

1

n²-72n+47

149.

1

25

-163

70,2293

1277

1

1

n²-142n+5

150.

1

68

-151

71,3287

1307

0

1

n²+25n-163

151.

1

-72

-23

71,6050

1319

0

1

n²+68n-151

152.

1

72

-113

66,3662

1409

0

3

n²-72n-23

153.

1

150

-83

69,0295

1427

2

1

n²+72n-113

154.

1

72

-137

68,2219

1433

0

3

n²+150n-83

155.

1

76

-3

68,9064

1447

0

1

n²+72n-137

156.

1

-80

113

73,2934

1487

0

1

n²+76n-3

157.

1

33

-101

71,6593

1493

1

3

n²-80n+113

158.

1

76

-109

69,4271

1553

0

3

n²+33n-101

159.

1

80

3

66,7931

1597

0

3

n²+76n-109

160.

1

-80

-1

67,4341

1601

0

3

n²+80n+3

161.

1

-41

17

71,4153

1613

3

1

n²-80n-1

162.

1

33

-137

71,0479

1637

1

3

n²-41n+17

163.

1

84

107

66,4791

1657

0

3

n²+33n-137

164.

1

39

-37

68,1016

1669

3

3

n²+84n+107

165.

1

39

-43

69,7878

1693

3

1

n²+39n-37

166.

1

80

-97

68,4713

1697

0

3

n²+39n-43

167.

1

84

17

67,1952

1747

0

1

n²+80n-97

168.

1

84

11

66,2233

1753

0

3

n²+84n+17

169.

1

-84

-13

66,3461

1777

0

3

n²+84n+11

170.

1

84

-37

65,2137

1801

0

3

n²-84n-13

171.

1

43

-3

68,1158

1861

3

1

n²+84n-37

172.

1

84

-109

65,5780

1873

0

3

n²+43n-3

173.

1

43

-7

72,9603

1877

3

1

n²+84n-109

174.

1

84

-167

71,9360

1931

0

1

n²+43n-7

175.

1

45

23

68,3614

1933

1

3

n²+84n-167

176.

1

88

-13

68,5524

1949

0

3

n²+45n+23

177.

1

88

-43

69,9019

1979

0

1

n²+88n-13

178.

1

41

-79

71,5919

1997

1

1

n²+88n-43

179.

1

-92

3

66,2821

2113

0

3

n²+41n-79

180.

1

92

-13

66,1875

2129

0

3

n²-92n+3

181.

1

-96

151

67,9153

2153

0

3

n²+92n-13

182.

1

-92

-157

70,0888

2273

0

3

n²-96n+151

183.

1

92

-181

66,7561

2297

0

3

n²-92n-157

184.

1

96

-5

70,5470

2309

0

3

n²+92n-181

185.

1

-96

-47

73,9947

2351

0

1

n²+96n-5

186.

1

96

-107

71,0496

2411

0

1

n²-96n-47

187.

1

-100

59

66,9991

2441

0

3

n²+96n-107

188.

1

43

-157

74,9287

2477

3

3

n²-100n+59

189.

1

51

-5

71,0296

2621

3

3

n²+43n-157

190.

1

100

-157

67,9030

2657

0

3

n²+51n-5

191.

1

-104

17

70,6629

2687

0

1

n²+100n-157

192.

1

49

-73

73,0723

2693

1

3

n²-104n+17

193.

1

49

-97

70,7634

2789

1

3

n²+49n-73

194.

1

108

83

66,4170

2833

0

3

n²+49n-97

195.

1

-108

59

65,5318

2857

0

3

n²+108n+83

196.

1

-108

19

68,6675

2897

0

3

n²-108n+59

197.

1

-108

13

71,8231

2903

0

1

n²-108n+19

198.

1

55

-3

69,2495

3037

3

1

n²-108n+13

199.

1

-222

17

65,9457

3076

2

1

n²+55n-3

200.

1

-230

-3

67,6616

3307

2

1

n²-230n-3

201.

1

-116

5

70,2647

3359

0

1

n²-116n+5

202.

1

-120

167

65,8567

3433

0

3

n²-120n+167

203.

1

53

-163

71,2481

3461

1

1

n²+53n-163

204.

1

53

-181

75,0666

3533

1

3

n²+53n-181

205.

1

-238

-3

65,8256

3541

2

1

n²-238n-3

206.

1

-124

167

69,7365

3677

0

3

n²-124n+167

207.

1

-61

-19

72,1632

3797

3

1

n²-61n-19

208.

1

124

-3

67,3401

3847

0

1

n²+124n-3

209.

1

-250

-3

67,8722

3907

2

1

n²-250n-3

210.

1

59

-127

72,9911

3989

3

1

n²+59n-127

211.

1

128

47

67,0205

4049

0

3

n²+128n+47

212.

1

-63

-31

69,2610

4093

1

1

n²-63n-31

213.

1

-132

179

66,3289

4177

0

3

n²-132n+179

214.

1

-65

-7

73,3663

4253

3

1

n²-65n-7

215.

1

132

59

66,6746

4297

0

3

n²+132n+59

216.

1

132

-127

72,7006

4483

0

1

n²+132n-127

217.

1

132

-157

66,1723

4513

0

3

n²+132n-157

218.

1

-136

107

71,1369

4517

0

3

n²-136n+107

219.

1

-140

-3

70,2140

4903

0

1

n²-140n-3

220.

1

140

-73

72,2970

4973

0

3

n²+140n-73

221.

1

-144

191

65,4960

4993

0

3

n²-144n+191

222.

1

140

-181

67,4931

5081

0

3

n²+140n-181

223.

1

144

-89

67,4251

5273

0

3

n²+144n-89

224.

1

69

-137

73,4909

5309

1

3

n²+69n-137

225.

1

75

-19

67,5589

5701

3

1

n²+75n-19

226.

1

-156

131

66,3407

5953

0

3

n²-156n+131

227.

1

-156

5

68,9195

6079

0

1

n²-156n+5

228.

1

81

41

70,2113

6397

1

1

n²+81n+41

229.

1

-164

-13

67,6511

6737

0

3

n²-164n-13

230.

1

85

3

74,2349

7213

1

3

n²+85n+3

231.

1

-188

17

72,1947

8819

0

1

n²-188n+17

232.

1

200

167

71,9536

9833

0

3

n²+200n+167

233.

1

103

3

71,9231

10597

3

3

n²+103n+3

234.

1

224

71

71,4053

12473

0

3

n²+224n+71

235.

1

228

-5

65,3756

13001

0

3

n²+228n-5

236.

1

228

-53

65,4920

13049

0

3

n²+228n-53

237.

1

228

-181

67,1128

13177

0

3

n²+228n-181

238.

1

252

-61

65,5069

15937

0

3

n²+252n-61

239.

1

292

3

68,2484

21313

0

3

n²+292n+3

C. Table of the polynomials sorted by the density of primes

number

a

b

c

prime density

disriminant=b^2-4c

b mod 4

c mod 4

polynomial

1.

1

82

-3

65,1429

421

2

1

n²+82n-3

2.

1

84

-37

65,2137

1801

0

3

n²-84n-13

3.

1

228

-5

65,3756

13001

0

3

n²+228n-5

4.

1

228

-53

65,4920

13049

0

3

n²+228n-53

5.

1

-144

191

65,4960

4993

0

3

n²-144n+191

6.

1

-72

167

65,4973

1129

0

3

n²+134n-3

7.

1

252

-61

65,5069

15937

0

3

n²+252n-61

8.

1

-108

59

65,5318

2857

0

3

n²+108n+83

9.

1

84

-109

65,5780

1873

0

3

n²+43n-3

10.

1

58

-3

65,6041

211

2

1

n²+58n-3

11.

1

-72

47

65,6667

1249

0

3

n²+33n-37

12.

1

138

-163

65,7932

1231

2

1

n²+68n-61

13.

1

-238

-3

65,8256

3541

2

1

n²-238n-3

14.

1

-120

167

65,8567

3433

0

3

n²-120n+167

15.

1

86

-3

65,8955

463

2

1

n²+86n-3

16.

1

-222

17

65,9457

3076

2

1

n²+55n-3

17.

1

-66

5

66,0612

271

2

1

n²-66n+5

18.

1

64

3

66,1050

1021

0

3

n²+25n-97

19.

1

-12

107

66,1673

-71

0

3

n²-12n+107

20.

1

132

-157

66,1723

4513

0

3

n²+132n-157

21.

1

92

-13

66,1875

2129

0

3

n²-92n+3

22.

1

84

11

66,2233

1753

0

3

n²+84n+17

23.

1

48

-97

66,2714

673

0

3

n²+48n-97

24.

1

-92

3

66,2821

2113

0

3

n²+41n-79

25.

1

-132

179

66,3289

4177

0

3

n²-132n+179

26.

1

-156

131

66,3407

5953

0

3

n²-156n+131

27.

1

-84

-13

66,3461

1777

0

3

n²+84n+11

28.

1

72

-113

66,3662

1409

0

3

n²-72n-23

29.

1

108

83

66,4170

2833

0

3

n²+49n-97

30.

1

84

107

66,4791

1657

0

3

n²+33n-137

31.

1

48

-1

66,5915

577

0

3

n²+48n-1

32.

1

0

47

66,6328

-47

0

3

n²+47

33.

1

36

-13

66,6609

337

0

3

n²+36n-13

34.

1

132

59

66,6746

4297

0

3

n²+132n+59

35.

1

-36

83

66,7093

241

0

3

n²-36n+83

36.

1

92

-181

66,7561

2297

0

3

n²-92n-157

37.

1

-8

167

66,7867

-151

0

3

n²-8n+167

38.

1

80

3

66,7931

1597

0

3

n²+76n-109

39.

1

36

11

66,8577

313

0

3

n²+36n+11

40.

1

48

7

66,9051

569

0

3

n²+48n+7

41.

1

-68

107

66,9303

1049

0

3

n²-64n-7

42.

1

-118

-43

66,9833

881

2

1

n²-60n+37

43.

1

0

79

66,9893

-79

0

3

n²+79

44.

1

-100

59

66,9991

2441

0

3

n²+96n-107

45.

1

-48

127

67,0067

449

0

3

n²-48n+127

46.

1

128

47

67,0205

4049

0

3

n²+128n+47

47.

1

28

3

67,0474

193

0

3

n²+28n+3

48.

1

-28

-3

67,1048

199

0

1

n²-28n-3

49.

1

228

-181

67,1128

13177

0

3

n²+228n-181

50.

1

-60

-29

67,1250

929

0

3

n²+56n-103

51.

1

84

17

67,1952

1747

0

1

n²+80n-97

52.

1

134

-3

67,2560

1123

2

1

n²-68n+107

53.

1

0

11

67,2655

-11

0

3

n²+11

54.

1

0

23

67,2851

-23

0

3

n²+23

55.

1

0

103

67,2888

-103

0

3

n²+103

56.

1

124

-3

67,3401

3847

0

1

n²+124n-3

57.

1

20

-181

67,3513

281

0

3

n²+20n-181

58.

1

-142

5

67,4095

1259

2

1

n²-72n+47

59.

1

8

47

67,4146

-31

0

3

n²+8n+47

60.

1

24

5

67,4213

139

0

1

n²+24n+5

61.

1

144

-89

67,4251

5273

0

3

n²+144n-89

62.

1

-44

-3

67,4311

487

0

1

n²-44n-3

63.

1

-80

-1

67,4341

1601

0

3

n²+80n+3

64.

1

70

-3

67,4644

307

2

1

n²+70n-3

65.

1

-68

179

67,4752

977

0

3

n²+56n-163

66.

1

140

-181

67,4931

5081

0

3

n²+140n-181

67.

1

75

-19

67,5589

5701

3

1

n²+75n-19

68.

1

-16

191

67,5882

-127

0

3

n²-16n+191

69.

1

0

19

67,6174

-19

0

3

n²+19

70.

1

24

-19

67,6178

163

0

1

n²+24n-19

71.

1

56

-37

67,6261

821

0

3

n²+17n-127

72.

1

-56

167

67,6351

617

0

3

n²-56n+167

73.

1

0

-97

67,6412

97

0

3

n²-97

74.

1

-164

-13

67,6511

6737

0

3

n²-164n-13

75.

1

-230

-3

67,6616

3307

2

1

n²-230n-3

76.

1

-24

17

67,7570

127

0

1

n²-24n+17

77.

1

-28

5

67,8649

191

0

1

n²-28n+5

78.

1

-250

-3

67,8722

3907

2

1

n²-250n-3

79.

1

12

-37

67,8817

73

0

3

n²+12n-37

80.

1

100

-157

67,9030

2657

0

3

n²+51n-5

81.

1

-96

151

67,9153

2153

0

3

n²+92n-13

82.

1

27

-7

67,9157

757

3

1

n²+27n-7

83.

1

-28

17

67,9321

179

0

1

n²-28n+17

84.

1

62

29

67,9582

233

2

1

n²+62n+29

85.

1

16

-3

67,9631

67

0

1

n²+16n-3

86.

1

36

-43

67,9768

367

0

1

n²+36n-43

87.

1

-64

-7

68,0499

1031

0

1

n²+64n+3

88.

1

39

-37

68,1016

1669

3

3

n²+84n+107

89.

1

0

5

68,1140

-5

0

1

n²+5

90.

1

43

-3

68,1158

1861

3

1

n²+84n-37

91.

1

20

-3

68,1293

103

0

1

n²+20n-3

92.

1

12

-101

68,1501

137

0

3

n²+12n-101

93.

1

-12

5

68,1569

31

0

1

n²-12n+5

94.

1

8

-73

68,1805

89

0

3

n²+8n-73

95.

1

20

-157

68,2002

257

0

3

n²+20n-157

96.

1

12

-7

68,2016

43

0

1

n²+12n-7

97.

1

-68

-37

68,2071

1193

0

3

n²-35n+11

98.

1

72

-137

68,2219

1433

0

3

n²+150n-83

99.

1

0

-113

68,2308

113

0

3

n²-113

100.

1

28

-157

68,2337

353

0

3

n²+28n-157

101.

1

292

3

68,2484

21313

0

3

n²+292n+3

102.

1

19

3

68,2511

349

3

3

n²+19n+3

103.

1

-32

17

68,3223

239

0

1

n²-32n+17

104.

1

45

23

68,3614

1933

1

3

n²+84n-167

105.

1

13

-3

68,3741

181

1

1

n²+13n-3

106.

1

-36

41

68,4043

283

0

1

n²-36n+41

107.

1

80

-97

68,4713

1697

0

3

n²+39n-43

108.

1

-40

-19

68,4779

419

0

1

n²-40n-19

109.

1

32

5

68,4822

251

0

1

n²+32n+5

110.

1

19

-3

68,4861

373

3

1

n²+19n-3

111.

1

-48

53

68,4914

523

0

1

n²-48n+53

112.

1

-25

3

68,5035

613

3

3

n²-25n+3

113.

1

-36

13

68,5141

311

0

1

n²-36n+13

114.

1

8

-3

68,5203

19

0

1

n²+8n-3

115.

1

-44

-109

68,5343

593

0

3

n²-44n-109

116.

1

9

-7

68,5426

109

1

1

n²+9n-7

117.

1

88

-13

68,5524

1949

0

3

n²+45n+23

118.

1

52

-181

68,5805

857

0

3

n²+27n-31

119.

1

16

-7

68,5831

71

0

1

n²+16n-7

120.

1

15

-13

68,5868

277

3

3

n²+15n-13

121.

1

-108

19

68,6675

2897

0

3

n²-108n+59

122.

1

19

-7

68,7388

389

3

1

n²+19n-7

123.

1

0

-41

68,7623

41

0

3

n²-41

124.

1

23

-43

68,7762

701

3

1

n²+23n-43

125.

1

0

43

68,7866

-43

0

3

n²+43

126.

1

-44

53

68,7896

431

0

1

n²-44n+53

127.

1

0

7

68,8349

-7

0

3

n²+7

128.

1

0

3

68,8361

-3

0

3

n²+3

129.

1

0

-13

68,8654

13

0

3

n²-13

130.

1

76

-3

68,9064

1447

0

1

n²+72n-137

131.

1

-156

5

68,9195

6079

0

1

n²-156n+5

132.

1

0

13

68,9431

-13

0

1

n²+13

133.

1

-60

37

68,9886

863

0

1

n²+52n-181

134.

1

0

2

68,9933

-2

0

2

n²+2

135.

1

33

-37

69,0017

1237

1

3

n²+138n-163

136.

1

21

11

69,0096

397

1

3

n²+21n+11

137.

1

13

3

69,0145

157

1

3

n²+13n+3

138.

1

150

-83

69,0295

1427

2

1

n²+72n-113

139.

1

7

-3

69,0654

61

3

1

n²+7n-3

140.

1

8

-43

69,0873

59

0

1

n²+8n-43

141.

1

68

-61

69,0910

1217

0

3

n²-68n-37

142.

1

20

-31

69,1244

131

0

1

n²+20n-31

143.

1

55

-3

69,2495

3037

3

1

n²-108n+13

144.

1

-63

-31

69,2610

4093

1

1

n²-63n-31

145.

1

56

-163

69,3232

947

0

1

n²+31n+5

146.

1

76

-109

69,4271

1553

0

3

n²+33n-101

147.

1

28

-67

69,4291

263

0

1

n²+28n-67

148.

1

0

-7

69,4821

7

0

1

n²-7

149.

1

9

-17

69,5219

149

1

3

n²+9n-17

150.

1

36

-23

69,5258

347

0

1

n²+36n-23

151.

1

0

-11

69,5431

11

0

1

n²-11

152.

1

48

-107

69,5474

683

0

1

n²+48n-107

153.

1

3

-7

69,5615

37

3

1

n²+3n-7

154.

1

0

-23

69,6032

23

0

1

n²-23

155.

1

27

-31

69,6400

853

3

1

n²+56n-43

156.

1

15

-11

69,6663

269

3

1

n²+15n-11

157.

1

0

-17

69,6678

17

0

3

n²-17

158.

1

19

-73

69,6788

653

3

3

n²+19n-73

159.

1

-35

11

69,6829

1181

1

3

n²+64n-139

160.

1

19

-37

69,6910

509

3

3

n²+19n-37

161.

1

-124

167

69,7365

3677

0

3

n²-124n+167

162.

1

12

-71

69,7468

107

0

1

n²+12n-71

163.

1

39

-43

69,7878

1693

3

1

n²+39n-37

164.

1

-68

5

69,8031

1151

0

1

n²-72n+167

165.

1

-44

17

69,8046

467

0

1

n²-44n+17

166.

1

0

67

69,8590

-67

0

3

n²+67

167.

1

56

-3

69,8801

787

0

1

n²+19n-103

168.

1

88

-43

69,9019

1979

0

1

n²+88n-13

169.

1

0

1

69,9637

-1

0

1

n²+1

170.

1

3

-23

69,9757

101

3

1

n²+3n-23

171.

1

-92

-157

70,0888

2273

0

3

n²-96n+151

172.

1

21

-5

70,1160

461

1

3

n²+21n-5

173.

1

-44

5

70,1190

479

0

1

n²-44n+5

174.

1

0

-47

70,1341

47

0

1

n²-47

175.

1

0

-5

70,1504

5

0

3

n²-5

176.

1

81

41

70,2113

6397

1

1

n²+81n+41

177.

1

-140

-3

70,2140

4903

0

1

n²-140n-3

178.

1

25

-163

70,2293

1277

1

1

n²-142n+5

179.

1

1

-7

70,2370

29

1

1

n²+n-7

180.

1

-116

5

70,2647

3359

0

1

n²-116n+5

181.

1

1

-13

70,3771

53

1

3

n²+n-13

182.

1

13

-37

70,3783

317

1

3

n²+13n-37

183.

1

44

-103

70,3787

587

0

1

n²+44n-103

184.

1

96

-5

70,5470

2309

0

3

n²+92n-181

185.

1

0

-3

70,5493

3

0

1

n²-3

186.

1

64

-139

70,5637

1163

0

1

n²-68n+5

187.

1

3

-47

70,6532

197

3

1

n²+3n-47

188.

1

-104

17

70,6629

2687

0

1

n²+100n-157

189.

1

21

-29

70,7497

557

1

3

n²+21n-29

190.

1

49

-97

70,7634

2789

1

3

n²+49n-73

191.

1

0

-83

70,9010

83

0

1

n²-83

192.

1

25

-97

71,0273

1013

1

3

n²+60n-83

193.

1

51

-5

71,0296

2621

3

3

n²+43n-157

194.

1

0

-2

71,0333

2

0

2

n²-2

195.

1

33

-137

71,0479

1637

1

3

n²-41n+17

196.

1

96

-107

71,0496

2411

0

1

n²-96n-47

197.

1

31

5

71,1025

941

3

1

n²-60n-29

198.

1

-136

107

71,1369

4517

0

3

n²-136n+107

199.

1

17

-127

71,1823

797

1

1

n²+56n-3

200.

1

53

-163

71,2481

3461

1

1

n²+53n-163

201.

1

68

-151

71,3287

1307

0

1

n²+25n-163

202.

1

0

37

71,3339

-37

0

1

n²+37

203.

1

32

-127

71,3484

383

0

1

n²+32n-127

204.

1

224

71

71,4053

12473

0

3

n²+224n+71

205.

1

-41

17

71,4153

1613

3

1

n²-80n-1

206.

1

1

-43

71,4546

173

1

1

n²+n-43

207.

1

41

-79

71,5919

1997

1

1

n²+88n-43

208.

1

-72

-23

71,6050

1319

0

1

n²+68n-151

209.

1

33

-101

71,6593

1493

1

3

n²-80n+113

210.

1

-108

13

71,8231

2903

0

1

n²-108n+19

211.

1

40

-163

71,9207

563

0

1

n²+40n-163

212.

1

103

3

71,9231

10597

3

3

n²+103n+3

213.

1

84

-167

71,9360

1931

0

1

n²+43n-7

214.

1

200

167

71,9536

9833

0

3

n²+200n+167

215.

1

-56

41

72,0163

743

0

1

n²-56n+41

216.

1

36

-179

72,1545

503

0

1

n²+36n-179

217.

1

-61

-19

72,1632

3797

3

1

n²-61n-19

218.

1

19

-103

72,1842

773

3

1

n²-222n+17

219.

1

-188

17

72,1947

8819

0

1

n²-188n+17

220.

1

140

-73

72,2970

4973

0

3

n²+140n-73

221.

1

0

-167

72,3307

167

0

1

n²-167

222.

1

56

-43

72,3626

827

0

1

n²+56n-37

223.

1

1

-73

72,3969

293

1

3

n²+n-73

224.

1

56

-103

72,6019

887

0

1

n²-118n-43

225.

1

132

-127

72,7006

4483

0

1

n²+132n-127

226.

1

43

-7

72,9603

1877

3

1

n²+84n-109

227.

1

59

-127

72,9911

3989

3

1

n²+59n-127

228.

1

49

-73

73,0723

2693

1

3

n²-104n+17

229.

1

12

-191

73,2198

227

0

1

n²+12n-191

230.

1

3

-167

73,2220

677

3

1

n²+3n-167

231.

1

-80

113

73,2934

1487

0

1

n²+76n-3

232.

1

-65

-7

73,3663

4253

3

1

n²-65n-7

233.

1

69

-137

73,4909

5309

1

3

n²+69n-137

234.

1

0

163

73,5004

-163

0

3

n²+163

235.

1

60

-83

73,5356

983

0

1

n²-68n+179

236.

1

-96

-47

73,9947

2351

0

1

n²+96n-5

237.

1

85

3

74,2349

7213

1

3

n²+85n+3

238.

1

43

-157

74,9287

2477

3

3

n²-100n+59

239.

1

53

-181

75,0666

3533

1

3

n²+53n-181

D. Table of the polynomials sorted by b and c mod 4 of the polynomials f(n)=n^2+bn+c

number

a

b

c

prime density

disriminant=b^2-4c

b mod 4

c mod 4

polynomial

1.

1

0

37

71,3339

-37

0

1

n²+37

2.

1

0

13

68,9431

-13

0

1

n²+13

3.

1

0

5

68,1140

-5

0

1

n²+5

4.

1

0

1

69,9637

-1

0

1

n²+1

5.

1

0

-3

70,5493

3

0

1

n²-3

6.

1

0

-7

69,4821

7

0

1

n²-7

7.

1

0

-11

69,5431

11

0

1

n²-11

8.

1

8

-3

68,5203

19

0

1

n²+8n-3

9.

1

0

-23

69,6032

23

0

1

n²-23

10.

1

-12

5

68,1569

31

0

1

n²-12n+5

11.

1

12

-7

68,2016

43

0

1

n²+12n-7

12.

1

0

-47

70,1341

47

0

1

n²-47

13.

1

8

-43

69,0873

59

0

1

n²+8n-43

14.

1

16

-3

67,9631

67

0

1

n²+16n-3

15.

1

16

-7

68,5831

71

0

1

n²+16n-7

16.

1

0

-83

70,9010

83

0

1

n²-83

17.

1

20

-3

68,1293

103

0

1

n²+20n-3

18.

1

12

-71

69,7468

107

0

1

n²+12n-71

19.

1

-24

17

67,7570

127

0

1

n²-24n+17

20.

1

20

-31

69,1244

131

0

1

n²+20n-31

21.

1

24

5

67,4213

139

0

1

n²+24n+5

22.

1

24

-19

67,6178

163

0

1

n²+24n-19

23.

1

0

-167

72,3307

167

0

1

n²-167

24.

1

-28

17

67,9321

179

0

1

n²-28n+17

25.

1

-28

5

67,8649

191

0

1

n²-28n+5

26.

1

-28

-3

67,1048

199

0

1

n²-28n-3

27.

1

12

-191

73,2198

227

0

1

n²+12n-191

28.

1

-32

17

68,3223

239

0

1

n²-32n+17

29.

1

32

5

68,4822

251

0

1

n²+32n+5

30.

1

28

-67

69,4291

263

0

1

n²+28n-67

31.

1

-36

41

68,4043

283

0

1

n²-36n+41

32.

1

-36

13

68,5141

311

0

1

n²-36n+13

33.

1

36

-23

69,5258

347

0

1

n²+36n-23

34.

1

36

-43

67,9768

367

0

1

n²+36n-43

35.

1

32

-127

71,3484

383

0

1

n²+32n-127

36.

1

-40

-19

68,4779

419

0

1

n²-40n-19

37.

1

-44

53

68,7896

431

0

1

n²-44n+53

38.

1

-44

17

69,8046

467

0

1

n²-44n+17

39.

1

-44

5

70,1190

479

0

1

n²-44n+5

40.

1

-44

-3

67,4311

487

0

1

n²-44n-3

41.

1

36

-179

72,1545

503

0

1

n²+36n-179

42.

1

-48

53

68,4914

523

0

1

n²-48n+53

43.

1

40

-163

71,9207

563

0

1

n²+40n-163

44.

1

44

-103

70,3787

587

0

1

n²+44n-103

45.

1

48

-107

69,5474

683

0

1

n²+48n-107

46.

1

-56

41

72,0163

743

0

1

n²-56n+41

47.

1

56

-3

69,8801

787

0

1

n²+19n-103

48.

1

56

-43

72,3626

827

0

1

n²+56n-37

49.

1

-60

37

68,9886

863

0

1

n²+52n-181

50.

1

56

-103

72,6019

887

0

1

n²-118n-43

51.

1

56

-163

69,3232

947

0

1

n²+31n+5

52.

1

60

-83

73,5356

983

0

1

n²-68n+179

53.

1

-64

-7

68,0499

1031

0

1

n²+64n+3

54.

1

-68

5

69,8031

1151

0

1

n²-72n+167

55.

1

64

-139

70,5637

1163

0

1

n²-68n+5

56.

1

68

-151

71,3287

1307

0

1

n²+25n-163

57.

1

-72

-23

71,6050

1319

0

1

n²+68n-151

58.

1

76

-3

68,9064

1447

0

1

n²+72n-137

59.

1

-80

113

73,2934

1487

0

1

n²+76n-3

60.

1

84

17

67,1952

1747

0

1

n²+80n-97

61.

1

84

-167

71,9360

1931

0

1

n²+43n-7

62.

1

88

-43

69,9019

1979

0

1

n²+88n-13

63.

1

-96

-47

73,9947

2351

0

1

n²+96n-5

64.

1

96

-107

71,0496

2411

0

1

n²-96n-47

65.

1

-104

17

70,6629

2687

0

1

n²+100n-157

66.

1

-108

13

71,8231

2903

0

1

n²-108n+19

67.

1

-116

5

70,2647

3359

0

1

n²-116n+5

68.

1

124

-3

67,3401

3847

0

1

n²+124n-3

69.

1

132

-127

72,7006

4483

0

1

n²+132n-127

70.

1

-140

-3

70,2140

4903

0

1

n²-140n-3

71.

1

-156

5

68,9195

6079

0

1

n²-156n+5

72.

1

-188

17

72,1947

8819

0

1

n²-188n+17

73.

1

0

2

68,9933

-2

0

2

n²+2

74.

1

0

-2

71,0333

2

0

2

n²-2

75.

1

0

163

73,5004

-163

0

3

n²+163

76.

1

-8

167

66,7867

-151

0

3

n²-8n+167

77.

1

-16

191

67,5882

-127

0

3

n²-16n+191

78.

1

0

103

67,2888

-103

0

3

n²+103

79.

1

0

79

66,9893

-79

0

3

n²+79

80.

1

-12

107

66,1673

-71

0

3

n²-12n+107

81.

1

0

67

69,8590

-67

0

3

n²+67

82.

1

0

47

66,6328

-47

0

3

n²+47

83.

1

0

43

68,7866

-43

0

3

n²+43

84.

1

8

47

67,4146

-31

0

3

n²+8n+47

85.

1

0

23

67,2851

-23

0

3

n²+23

86.

1

0

19

67,6174

-19

0

3

n²+19

87.

1

0

11

67,2655

-11

0

3

n²+11

88.

1

0

7

68,8349

-7

0

3

n²+7

89.

1

0

3

68,8361

-3

0

3

n²+3

90.

1

0

-5

70,1504

5

0

3

n²-5

91.

1

0

-13

68,8654

13

0

3

n²-13

92.

1

0

-17

69,6678

17

0

3

n²-17

93.

1

0

-41

68,7623

41

0

3

n²-41

94.

1

12

-37

67,8817

73

0

3

n²+12n-37

95.

1

8

-73

68,1805

89

0

3

n²+8n-73

96.

1

0

-97

67,6412

97

0

3

n²-97

97.

1

0

-113

68,2308

113

0

3

n²-113

98.

1

12

-101

68,1501

137

0

3

n²+12n-101

99.

1

28

3

67,0474

193

0

3

n²+28n+3

100.

1

-36

83

66,7093

241

0

3

n²-36n+83

101.

1

20

-157

68,2002

257

0

3

n²+20n-157

102.

1

20

-181

67,3513

281

0

3

n²+20n-181

103.

1

36

11

66,8577

313

0

3

n²+36n+11

104.

1

36

-13

66,6609

337

0

3

n²+36n-13

105.

1

28

-157

68,2337

353

0

3

n²+28n-157

106.

1

-48

127

67,0067

449

0

3

n²-48n+127

107.

1

48

7

66,9051

569

0

3

n²+48n+7

108.

1

48

-1

66,5915

577

0

3

n²+48n-1

109.

1

-44

-109

68,5343

593

0

3

n²-44n-109

110.

1

-56

167

67,6351

617

0

3

n²-56n+167

111.

1

48

-97

66,2714

673

0

3

n²+48n-97

112.

1

56

-37

67,6261

821

0

3

n²+17n-127

113.

1

52

-181

68,5805

857

0

3

n²+27n-31

114.

1

-60

-29

67,1250

929

0

3

n²+56n-103

115.

1

-68

179

67,4752

977

0

3

n²+56n-163

116.

1

64

3

66,1050

1021

0

3

n²+25n-97

117.

1

-68

107

66,9303

1049

0

3

n²-64n-7

118.

1

-72

167

65,4973

1129

0

3

n²+134n-3

119.

1

-68

-37

68,2071

1193

0

3

n²-35n+11

120.

1

68

-61

69,0910

1217

0

3

n²-68n-37

121.

1

-72

47

65,6667

1249

0

3

n²+33n-37

122.

1

72

-113

66,3662

1409

0

3

n²-72n-23

123.

1

72

-137

68,2219

1433

0

3

n²+150n-83

124.

1

76

-109

69,4271

1553

0

3

n²+33n-101

125.

1

80

3

66,7931

1597

0

3

n²+76n-109

126.

1

-80

-1

67,4341

1601

0

3

n²+80n+3

127.

1

84

107

66,4791

1657

0

3

n²+33n-137

128.

1

80

-97

68,4713

1697

0

3

n²+39n-43

129.

1

84

11

66,2233

1753

0

3

n²+84n+17

130.

1

-84

-13

66,3461

1777

0

3

n²+84n+11

131.

1

84

-37

65,2137

1801

0

3

n²-84n-13

132.

1

84

-109

65,5780

1873

0

3

n²+43n-3

133.

1

88

-13

68,5524

1949

0

3

n²+45n+23

134.

1

-92

3

66,2821

2113

0

3

n²+41n-79

135.

1

92

-13

66,1875

2129

0

3

n²-92n+3

136.

1

-96

151

67,9153

2153

0

3

n²+92n-13

137.

1

-92

-157

70,0888

2273

0

3

n²-96n+151

138.

1

92

-181

66,7561

2297

0

3

n²-92n-157

139.

1

96

-5

70,5470

2309

0

3

n²+92n-181

140.

1

-100

59

66,9991

2441

0

3

n²+96n-107

141.

1

100

-157

67,9030

2657

0

3

n²+51n-5

142.

1

108

83

66,4170

2833

0

3

n²+49n-97

143.

1

-108

59

65,5318

2857

0

3

n²+108n+83

144.

1

-108

19

68,6675

2897

0

3

n²-108n+59

145.

1

-120

167

65,8567

3433

0

3

n²-120n+167

146.

1

-124

167

69,7365

3677

0

3

n²-124n+167

147.

1

128

47

67,0205

4049

0

3

n²+128n+47

148.

1

-132

179

66,3289

4177

0

3

n²-132n+179

149.

1

132

59

66,6746

4297

0

3

n²+132n+59

150.

1

132

-157

66,1723

4513

0

3

n²+132n-157

151.

1

-136

107

71,1369

4517

0

3

n²-136n+107

152.

1

140

-73

72,2970

4973

0

3

n²+140n-73

153.

1

-144

191

65,4960

4993

0

3

n²-144n+191

154.

1

140

-181

67,4931

5081

0

3

n²+140n-181

155.

1

144

-89

67,4251

5273

0

3

n²+144n-89

156.

1

-156

131

66,3407

5953

0

3

n²-156n+131

157.

1

-164

-13

67,6511

6737

0

3

n²-164n-13

158.

1

200

167

71,9536

9833

0

3

n²+200n+167

159.

1

224

71

71,4053

12473

0

3

n²+224n+71

160.

1

228

-5

65,3756

13001

0

3

n²+228n-5

161.

1

228

-53

65,4920

13049

0

3

n²+228n-53

162.

1

228

-181

67,1128

13177

0

3

n²+228n-181

163.

1

252

-61

65,5069

15937

0

3

n²+252n-61

164.

1

292

3

68,2484

21313

0

3

n²+292n+3

165.

1

1

-7

70,2370

29

1

1

n²+n-7

166.

1

9

-7

68,5426

109

1

1

n²+9n-7

167.

1

1

-43

71,4546

173

1

1

n²+n-43

168.

1

13

-3

68,3741

181

1

1

n²+13n-3

169.

1

17

-127

71,1823

797

1

1

n²+56n-3

170.

1

25

-163

70,2293

1277

1

1

n²-142n+5

171.

1

41

-79

71,5919

1997

1

1

n²+88n-43

172.

1

53

-163

71,2481

3461

1

1

n²+53n-163

173.

1

-63

-31

69,2610

4093

1

1

n²-63n-31

174.

1

81

41

70,2113

6397

1

1

n²+81n+41

175.

1

1

-13

70,3771

53

1

3

n²+n-13

176.

1

9

-17

69,5219

149

1

3

n²+9n-17

177.

1

13

3

69,0145

157

1

3

n²+13n+3

178.

1

1

-73

72,3969

293

1

3

n²+n-73

179.

1

13

-37

70,3783

317

1

3

n²+13n-37

180.

1

21

11

69,0096

397

1

3

n²+21n+11

181.

1

21

-5

70,1160

461

1

3

n²+21n-5

182.

1

21

-29

70,7497

557

1

3

n²+21n-29

183.

1

25

-97

71,0273

1013

1

3

n²+60n-83

184.

1

-35

11

69,6829

1181

1

3

n²+64n-139

185.

1

33

-37

69,0017

1237

1

3

n²+138n-163

186.

1

33

-101

71,6593

1493

1

3

n²-80n+113

187.

1

33

-137

71,0479

1637

1

3

n²-41n+17

188.

1

45

23

68,3614

1933

1

3

n²+84n-167

189.

1

49

-73

73,0723

2693

1

3

n²-104n+17

190.

1

49

-97

70,7634

2789

1

3

n²+49n-73

191.

1

53

-181

75,0666

3533

1

3

n²+53n-181

192.

1

69

-137

73,4909

5309

1

3

n²+69n-137

193.

1

85

3

74,2349

7213

1

3

n²+85n+3

194.

1

58

-3

65,6041

211

2

1

n²+58n-3

195.

1

62

29

67,9582

233

2

1

n²+62n+29

196.

1

-66

5

66,0612

271

2

1

n²-66n+5

197.

1

70

-3

67,4644

307

2

1

n²+70n-3

198.

1

82

-3

65,1429

421

2

1

n²+82n-3

199.

1

86

-3

65,8955

463

2

1

n²+86n-3

200.

1

-118

-43

66,9833

881

2

1

n²-60n+37

201.

1

134

-3

67,2560

1123

2

1

n²-68n+107

202.

1

138

-163

65,7932

1231

2

1

n²+68n-61

203.

1

-142

5

67,4095

1259

2

1

n²-72n+47

204.

1

150

-83

69,0295

1427

2

1

n²+72n-113

205.

1

-222

17

65,9457

3076

2

1

n²+55n-3

206.

1

-230

-3

67,6616

3307

2

1

n²-230n-3

207.

1

-238

-3

65,8256

3541

2

1

n²-238n-3

208.

1

-250

-3

67,8722

3907

2

1

n²-250n-3

209.

1

3

-7

69,5615

37

3

1

n²+3n-7

210.

1

7

-3

69,0654

61

3

1

n²+7n-3

211.

1

3

-23

69,9757

101

3

1

n²+3n-23

212.

1

3

-47

70,6532

197

3

1

n²+3n-47

213.

1

15

-11

69,6663

269

3

1

n²+15n-11

214.

1

19

-3

68,4861

373

3

1

n²+19n-3

215.

1

19

-7

68,7388

389

3

1

n²+19n-7

216.

1

3

-167

73,2220

677

3

1

n²+3n-167

217.

1

23

-43

68,7762

701

3

1

n²+23n-43

218.

1

27

-7

67,9157

757

3

1

n²+27n-7

219.

1

19

-103

72,1842

773

3

1

n²-222n+17

220.

1

27

-31

69,6400

853

3

1

n²+56n-43

221.

1

31

5

71,1025

941

3

1

n²-60n-29

222.

1

-41

17

71,4153

1613

3

1

n²-80n-1

223.

1

39

-43

69,7878

1693

3

1

n²+39n-37

224.

1

43

-3

68,1158

1861

3

1

n²+84n-37

225.

1

43

-7

72,9603

1877

3

1

n²+84n-109

226.

1

55

-3

69,2495

3037

3

1

n²-108n+13

227.

1

-61

-19

72,1632

3797

3

1

n²-61n-19

228.

1

59

-127

72,9911

3989

3

1

n²+59n-127

229.

1

-65

-7

73,3663

4253

3

1

n²-65n-7

230.

1

75

-19

67,5589

5701

3

1

n²+75n-19

231.

1

15

-13

68,5868

277

3

3

n²+15n-13

232.

1

19

3

68,2511

349

3

3

n²+19n+3

233.

1

19

-37

69,6910

509

3

3

n²+19n-37

234.

1

-25

3

68,5035

613

3

3

n²-25n+3

235.

1

19

-73

69,6788

653

3

3

n²+19n-73

236.

1

39

-37

68,1016

1669

3

3

n²+84n+107

237.

1

43

-157

74,9287

2477

3

3

n²-100n+59

238.

1

51

-5

71,0296

2621

3

3

n²+43n-157

239.

1

103

3

71,9231

10597

3

3

n²+103n+3