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Development of Algorithmic Constructions |
15:25:16
| | | 29.Mar 2024
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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
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 |
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