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  1. cpu frequency: 3127021 Hz
  2. DIVISOR_PRECHECK_K_MAX: 300
  3. number of threads: 11
  4. Lucas Lehmer prime test for mersenne numbers
  5. p: 3 time: 3 ms
  6. p: 5 time: 4 ms
  7. p: 7 time: 4 ms
  8. p: 13 time: 5 ms
  9. p: 17 time: 5 ms
  10. p: 19 time: 6 ms
  11. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 23 <<<
  12. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 29 <<<
  13. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 2411 <<<
  14. p: 31 time: 9 ms
  15. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 37 <<<
  16. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 2417 <<<
  17. >>> divisionPrecheck (2*k*p+1) finds k = 163 for p = 41 <<<
  18. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 4801 <<<
  19. >>> divisionPrecheck (2*k*p+1) finds k = 5 for p = 43 <<<
  20. >>> divisionPrecheck (2*k*p+1) finds k = 25 for p = 47 <<<
  21. >>> divisionPrecheck (2*k*p+1) finds k = 60 for p = 53 <<<
  22. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 4813 <<<
  23. p: 61 time: 21 ms
  24. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 73 <<<
  25. >>> divisionPrecheck (2*k*p+1) finds k = 17 for p = 79 <<<
  26. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 83 <<<
  27. p: 89 time: 31 ms
  28. >>> divisionPrecheck (2*k*p+1) finds k = 12 for p = 7207 <<<
  29. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 16811 <<<
  30. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 7211 <<<
  31. >>> divisionPrecheck (2*k*p+1) finds k = 119 for p = 9601 <<<
  32. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 16823 <<<
  33. >>> divisionPrecheck (2*k*p+1) finds k = 59 for p = 97 <<<
  34. p: 107 time: 129 ms
  35. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 9613 <<<
  36. >>> divisionPrecheck (2*k*p+1) finds k = 9 for p = 19207 <<<
  37. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 113 <<<
  38. p: 127 time: 137 ms
  39. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 131 <<<
  40. >>> divisionPrecheck (2*k*p+1) finds k = 60 for p = 151 <<<
  41. >>> divisionPrecheck (2*k*p+1) finds k = 7 for p = 16829 <<<
  42. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 179 <<<
  43. >>> divisionPrecheck (2*k*p+1) finds k = 32 for p = 9619 <<<
  44. >>> divisionPrecheck (2*k*p+1) finds k = 120 for p = 181 <<<
  45. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 191 <<<
  46. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 19211 <<<
  47. >>> divisionPrecheck (2*k*p+1) finds k = 19 for p = 197 <<<
  48. >>> divisionPrecheck (2*k*p+1) finds k = 36 for p = 211 <<<
  49. >>> divisionPrecheck (2*k*p+1) finds k = 41 for p = 223 <<<
  50. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 233 <<<
  51. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 239 <<<
  52. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 251 <<<
  53. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 19213 <<<
  54. >>> divisionPrecheck (2*k*p+1) finds k = 45 for p = 263 <<<
  55. >>> divisionPrecheck (2*k*p+1) finds k = 9 for p = 16831 <<<
  56. >>> divisionPrecheck (2*k*p+1) finds k = 144 for p = 281 <<<
  57. >>> divisionPrecheck (2*k*p+1) finds k = 17 for p = 283 <<<
  58. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 317 <<<
  59. >>> divisionPrecheck (2*k*p+1) finds k = 27 for p = 337 <<<
  60. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 359 <<<
  61. >>> divisionPrecheck (2*k*p+1) finds k = 17 for p = 367 <<<
  62. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 397 <<<
  63. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 419 <<<
  64. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 431 <<<
  65. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 443 <<<
  66. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 461 <<<
  67. >>> divisionPrecheck (2*k*p+1) finds k = 12 for p = 463 <<<
  68. >>> divisionPrecheck (2*k*p+1) finds k = 5 for p = 487 <<<
  69. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 491 <<<
  70. >>> divisionPrecheck (2*k*p+1) finds k = 21 for p = 499 <<<
  71. p: 521 time: 1296 ms
  72. >>> divisionPrecheck (2*k*p+1) finds k = 5 for p = 547 <<<
  73. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 557 <<<
  74. >>> divisionPrecheck (2*k*p+1) finds k = 5 for p = 571 <<<
  75. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 577 <<<
  76. >>> divisionPrecheck (2*k*p+1) finds k = 88 for p = 593 <<<
  77. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 601 <<<
  78. p: 607 time: 2055 ms
  79. >>> divisionPrecheck (2*k*p+1) finds k = 48 for p = 617 <<<
  80. >>> divisionPrecheck (2*k*p+1) finds k = 89 for p = 619 <<<
  81. >>> divisionPrecheck (2*k*p+1) finds k = 28 for p = 641 <<<
  82. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 659 <<<
  83. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 683 <<<
  84. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 719 <<<
  85. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 743 <<<
  86. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 761 <<<
  87. >>> divisionPrecheck (2*k*p+1) finds k = 201 for p = 811 <<<
  88. >>> divisionPrecheck (2*k*p+1) finds k = 40 for p = 827 <<<
  89. >>> divisionPrecheck (2*k*p+1) finds k = 44 for p = 829 <<<
  90. >>> divisionPrecheck (2*k*p+1) finds k = 16 for p = 839 <<<
  91. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 857 <<<
  92. >>> divisionPrecheck (2*k*p+1) finds k = 20 for p = 877 <<<
  93. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 881 <<<
  94. >>> divisionPrecheck (2*k*p+1) finds k = 5 for p = 883 <<<
  95. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 911 <<<
  96. >>> divisionPrecheck (2*k*p+1) finds k = 7 for p = 929 <<<
  97. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 937 <<<
  98. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 941 <<<
  99. >>> divisionPrecheck (2*k*p+1) finds k = 180 for p = 953 <<<
  100. >>> divisionPrecheck (2*k*p+1) finds k = 12 for p = 967 <<<
  101. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 1013 <<<
  102. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 1019 <<<
  103. >>> divisionPrecheck (2*k*p+1) finds k = 20 for p = 1021 <<<
  104. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 1031 <<<
  105. >>> divisionPrecheck (2*k*p+1) finds k = 95 for p = 1033 <<<
  106. >>> divisionPrecheck (2*k*p+1) finds k = 16 for p = 1049 <<<
  107. >>> divisionPrecheck (2*k*p+1) finds k = 40 for p = 1091 <<<
  108. >>> divisionPrecheck (2*k*p+1) finds k = 20 for p = 1093 <<<
  109. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 1103 <<<
  110. >>> divisionPrecheck (2*k*p+1) finds k = 24 for p = 1117 <<<
  111. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 1129 <<<
  112. >>> divisionPrecheck (2*k*p+1) finds k = 116 for p = 1153 <<<
  113. >>> divisionPrecheck (2*k*p+1) finds k = 108 for p = 1187 <<<
  114. >>> divisionPrecheck (2*k*p+1) finds k = 51 for p = 1193 <<<
  115. >>> divisionPrecheck (2*k*p+1) finds k = 24 for p = 1201 <<<
  116. >>> divisionPrecheck (2*k*p+1) finds k = 135 for p = 1213 <<<
  117. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 1223 <<<
  118. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 1229 <<<
  119. >>> divisionPrecheck (2*k*p+1) finds k = 216 for p = 1231 <<<
  120. >>> divisionPrecheck (2*k*p+1) finds k = 39 for p = 1249 <<<
  121. p: 1279 time: 27160 ms
  122. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 2459 <<<
  123. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 1321 <<<
  124. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 1361 <<<
  125. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 1367 <<<
  126. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 1381 <<<
  127. >>> divisionPrecheck (2*k*p+1) finds k = 7 for p = 1433 <<<
  128. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 1439 <<<
  129. >>> divisionPrecheck (2*k*p+1) finds k = 20 for p = 1447 <<<
  130. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 1451 <<<
  131. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 1453 <<<
  132. >>> divisionPrecheck (2*k*p+1) finds k = 5 for p = 1459 <<<
  133. >>> divisionPrecheck (2*k*p+1) finds k = 24 for p = 1481 <<<
  134. >>> divisionPrecheck (2*k*p+1) finds k = 24 for p = 1489 <<<
  135. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 1499 <<<
  136. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 1511 <<<
  137. >>> divisionPrecheck (2*k*p+1) finds k = 29 for p = 1531 <<<
  138. >>> divisionPrecheck (2*k*p+1) finds k = 33 for p = 1543 <<<
  139. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 1559 <<<
  140. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 1583 <<<
  141. >>> divisionPrecheck (2*k*p+1) finds k = 156 for p = 2531 <<<
  142. >>> divisionPrecheck (2*k*p+1) finds k = 5 for p = 2539 <<<
  143. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 2543 <<<
  144. >>> divisionPrecheck (2*k*p+1) finds k = 9 for p = 1607 <<<
  145. >>> divisionPrecheck (2*k*p+1) finds k = 5 for p = 1663 <<<
  146. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 1667 <<<
  147. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 1693 <<<
  148. >>> divisionPrecheck (2*k*p+1) finds k = 111 for p = 1709 <<<
  149. >>> divisionPrecheck (2*k*p+1) finds k = 51 for p = 1721 <<<
  150. >>> divisionPrecheck (2*k*p+1) finds k = 5 for p = 1723 <<<
  151. >>> divisionPrecheck (2*k*p+1) finds k = 288 for p = 1741 <<<
  152. >>> divisionPrecheck (2*k*p+1) finds k = 148 for p = 2591 <<<
  153. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 2593 <<<
  154. >>> divisionPrecheck (2*k*p+1) finds k = 7 for p = 2609 <<<
  155. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 2617 <<<
  156. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 2621 <<<
  157. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 1777 <<<
  158. >>> divisionPrecheck (2*k*p+1) finds k = 11 for p = 1789 <<<
  159. >>> divisionPrecheck (2*k*p+1) finds k = 8 for p = 1801 <<<
  160. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 1811 <<<
  161. >>> divisionPrecheck (2*k*p+1) finds k = 33 for p = 1823 <<<
  162. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 4861 <<<
  163. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 4871 <<<
  164. >>> divisionPrecheck (2*k*p+1) finds k = 9 for p = 1847 <<<
  165. >>> divisionPrecheck (2*k*p+1) finds k = 275 for p = 1861 <<<
  166. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 1871 <<<
  167. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 1877 <<<
  168. >>> divisionPrecheck (2*k*p+1) finds k = 161 for p = 1879 <<<
  169. >>> divisionPrecheck (2*k*p+1) finds k = 7 for p = 2657 <<<
  170. >>> divisionPrecheck (2*k*p+1) finds k = 12 for p = 2663 <<<
  171. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 1931 <<<
  172. >>> divisionPrecheck (2*k*p+1) finds k = 68 for p = 2677 <<<
  173. >>> divisionPrecheck (2*k*p+1) finds k = 31 for p = 1973 <<<
  174. >>> divisionPrecheck (2*k*p+1) finds k = 17 for p = 1987 <<<
  175. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 1993 <<<
  176. >>> divisionPrecheck (2*k*p+1) finds k = 99 for p = 1997 <<<
  177. >>> divisionPrecheck (2*k*p+1) finds k = 37 for p = 2687 <<<
  178. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 2003 <<<
  179. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 2699 <<<
  180. >>> divisionPrecheck (2*k*p+1) finds k = 32 for p = 2707 <<<
  181. >>> divisionPrecheck (2*k*p+1) finds k = 108 for p = 2711 <<<
  182. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 2039 <<<
  183. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 2063 <<<
  184. >>> divisionPrecheck (2*k*p+1) finds k = 79 for p = 2069 <<<
  185. >>> divisionPrecheck (2*k*p+1) finds k = 64 for p = 2081 <<<
  186. >>> divisionPrecheck (2*k*p+1) finds k = 81 for p = 2111 <<<
  187. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 2741 <<<
  188. >>> divisionPrecheck (2*k*p+1) finds k = 91 for p = 2141 <<<
  189. >>> divisionPrecheck (2*k*p+1) finds k = 5 for p = 4903 <<<
  190. >>> divisionPrecheck (2*k*p+1) finds k = 57 for p = 2179 <<<
  191. >>> divisionPrecheck (2*k*p+1) finds k = 113 for p = 2767 <<<
  192. p: 2203 time: 220527 ms
  193. >>> divisionPrecheck (2*k*p+1) finds k = 28 for p = 2207 <<<
  194. >>> divisionPrecheck (2*k*p+1) finds k = 12 for p = 2213 <<<
  195. >>> divisionPrecheck (2*k*p+1) finds k = 89 for p = 2251 <<<
  196. p: 2281 time: 263063 ms
  197. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 4919 <<<
  198. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 2819 <<<
  199. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 2837 <<<
  200. >>> divisionPrecheck (2*k*p+1) finds k = 25 for p = 2843 <<<
  201. >>> divisionPrecheck (2*k*p+1) finds k = 67 for p = 2333 <<<
  202. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 2339 <<<
  203. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 2351 <<<
  204. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 4933 <<<
  205. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 2389 <<<
  206. >>> divisionPrecheck (2*k*p+1) finds k = 7 for p = 2393 <<<
  207. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 2399 <<<
  208. work is done for 0 to 2399
  209. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 2897 <<<
  210. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 2903 <<<
  211. >>> divisionPrecheck (2*k*p+1) finds k = 19 for p = 2909 <<<
  212. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 2939 <<<
  213. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 2953 <<<
  214. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 2963 <<<
  215. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 4943 <<<
  216. >>> divisionPrecheck (2*k*p+1) finds k = 112 for p = 2999 <<<
  217. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 4957 <<<
  218. >>> divisionPrecheck (2*k*p+1) finds k = 33 for p = 4967 <<<
  219. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 3023 <<<
  220. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 3037 <<<
  221. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 3041 <<<
  222. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 3119 <<<
  223. >>> divisionPrecheck (2*k*p+1) finds k = 180 for p = 3121 <<<
  224. >>> divisionPrecheck (2*k*p+1) finds k = 72 for p = 3163 <<<
  225. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 3181 <<<
  226. >>> divisionPrecheck (2*k*p+1) finds k = 8 for p = 4993 <<<
  227. >>> divisionPrecheck (2*k*p+1) finds k = 21 for p = 4999 <<<
  228. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 5003 <<<
  229. p: 3217 time: 640619 ms
  230. >>> divisionPrecheck (2*k*p+1) finds k = 100 for p = 3221 <<<
  231. >>> divisionPrecheck (2*k*p+1) finds k = 8 for p = 5011 <<<
  232. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 5021 <<<
  233. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 3257 <<<
  234. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 5039 <<<
  235. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 5051 <<<
  236. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 3299 <<<
  237. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 12011 <<<
  238. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 12037 <<<
  239. >>> divisionPrecheck (2*k*p+1) finds k = 75 for p = 12041 <<<
  240. >>> divisionPrecheck (2*k*p+1) finds k = 5 for p = 3319 <<<
  241. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 3329 <<<
  242. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 3347 <<<
  243. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 3359 <<<
  244. >>> divisionPrecheck (2*k*p+1) finds k = 83 for p = 3361 <<<
  245. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 5087 <<<
  246. >>> divisionPrecheck (2*k*p+1) finds k = 44 for p = 3391 <<<
  247. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 3457 <<<
  248. >>> divisionPrecheck (2*k*p+1) finds k = 5 for p = 5107 <<<
  249. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 3491 <<<
  250. >>> divisionPrecheck (2*k*p+1) finds k = 5 for p = 3511 <<<
  251. >>> divisionPrecheck (2*k*p+1) finds k = 80 for p = 3517 <<<
  252. >>> divisionPrecheck (2*k*p+1) finds k = 9 for p = 3527 <<<
  253. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 3529 <<<
  254. >>> divisionPrecheck (2*k*p+1) finds k = 27 for p = 3533 <<<
  255. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 3539 <<<
  256. >>> divisionPrecheck (2*k*p+1) finds k = 108 for p = 3541 <<<
  257. >>> divisionPrecheck (2*k*p+1) finds k = 60 for p = 3557 <<<
  258. >>> divisionPrecheck (2*k*p+1) finds k = 9 for p = 3571 <<<
  259. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 3581 <<<
  260. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 3593 <<<
  261. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 3623 <<<
  262. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 5171 <<<
  263. >>> divisionPrecheck (2*k*p+1) finds k = 24 for p = 5179 <<<
  264. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 5189 <<<
  265. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 5197 <<<
  266. >>> divisionPrecheck (2*k*p+1) finds k = 128 for p = 7297 <<<
  267. >>> divisionPrecheck (2*k*p+1) finds k = 108 for p = 5227 <<<
  268. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 5231 <<<
  269. >>> divisionPrecheck (2*k*p+1) finds k = 95 for p = 5233 <<<
  270. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 3701 <<<
  271. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 5261 <<<
  272. >>> divisionPrecheck (2*k*p+1) finds k = 176 for p = 3733 <<<
  273. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 3767 <<<
  274. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 5279 <<<
  275. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 3779 <<<
  276. >>> divisionPrecheck (2*k*p+1) finds k = 8 for p = 3793 <<<
  277. >>> divisionPrecheck (2*k*p+1) finds k = 12 for p = 3797 <<<
  278. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 3803 <<<
  279. >>> divisionPrecheck (2*k*p+1) finds k = 11 for p = 12049 <<<
  280. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 3851 <<<
  281. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 5303 <<<
  282. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 3863 <<<
  283. >>> divisionPrecheck (2*k*p+1) finds k = 68 for p = 3907 <<<
  284. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 3911 <<<
  285. >>> divisionPrecheck (2*k*p+1) finds k = 52 for p = 3917 <<<
  286. >>> divisionPrecheck (2*k*p+1) finds k = 28 for p = 3923 <<<
  287. >>> divisionPrecheck (2*k*p+1) finds k = 29 for p = 5347 <<<
  288. >>> divisionPrecheck (2*k*p+1) finds k = 8 for p = 3967 <<<
  289. >>> divisionPrecheck (2*k*p+1) finds k = 24 for p = 3989 <<<
  290. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 4001 <<<
  291. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 4013 <<<
  292. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 4019 <<<
  293. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 5393 <<<
  294. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 5399 <<<
  295. >>> divisionPrecheck (2*k*p+1) finds k = 12 for p = 4057 <<<
  296. >>> divisionPrecheck (2*k*p+1) finds k = 9 for p = 16871 <<<
  297. >>> divisionPrecheck (2*k*p+1) finds k = 9 for p = 4099 <<<
  298. >>> divisionPrecheck (2*k*p+1) finds k = 40 for p = 5417 <<<
  299. >>> divisionPrecheck (2*k*p+1) finds k = 9 for p = 4127 <<<
  300. >>> divisionPrecheck (2*k*p+1) finds k = 192 for p = 4129 <<<
  301. >>> divisionPrecheck (2*k*p+1) finds k = 5 for p = 5431 <<<
  302. >>> divisionPrecheck (2*k*p+1) finds k = 192 for p = 5437 <<<
  303. >>> divisionPrecheck (2*k*p+1) finds k = 11 for p = 4153 <<<
  304. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 12073 <<<
  305. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 4211 <<<
  306. >>> divisionPrecheck (2*k*p+1) finds k = 259 for p = 4217 <<<
  307. >>> divisionPrecheck (2*k*p+1) finds k = 231 for p = 5449 <<<
  308. >>> divisionPrecheck (2*k*p+1) finds k = 39 for p = 4229 <<<
  309. >>> divisionPrecheck (2*k*p+1) finds k = 12 for p = 4243 <<<
  310. p: 4253 time: 2418479 ms
  311. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 4271 <<<
  312. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 4273 <<<
  313. >>> divisionPrecheck (2*k*p+1) finds k = 81 for p = 5483 <<<
  314. >>> divisionPrecheck (2*k*p+1) finds k = 63 for p = 5501 <<<
  315. >>> divisionPrecheck (2*k*p+1) finds k = 4 for p = 4289 <<<
  316. >>> divisionPrecheck (2*k*p+1) finds k = 104 for p = 4297 <<<
  317. >>> divisionPrecheck (2*k*p+1) finds k = 13 for p = 14411 <<<
  318. >>> divisionPrecheck (2*k*p+1) finds k = 60 for p = 5519 <<<
  319. >>> divisionPrecheck (2*k*p+1) finds k = 8 for p = 5521 <<<
  320. >>> divisionPrecheck (2*k*p+1) finds k = 85 for p = 5531 <<<
  321. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 5557 <<<
  322. >>> divisionPrecheck (2*k*p+1) finds k = 48 for p = 5563 <<<
  323. >>> divisionPrecheck (2*k*p+1) finds k = 7 for p = 4373 <<<
  324. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 4391 <<<
  325. >>> divisionPrecheck (2*k*p+1) finds k = 69 for p = 7411 <<<
  326. >>> divisionPrecheck (2*k*p+1) finds k = 8 for p = 7417 <<<
  327. p: 4423 time: 2874225 ms
  328. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 4441 <<<
  329. >>> divisionPrecheck (2*k*p+1) finds k = 8 for p = 4447 <<<
  330. >>> divisionPrecheck (2*k*p+1) finds k = 183 for p = 4457 <<<
  331. >>> divisionPrecheck (2*k*p+1) finds k = 101 for p = 5623 <<<
  332. >>> divisionPrecheck (2*k*p+1) finds k = 1 for p = 5639 <<<
  333. >>> divisionPrecheck (2*k*p+1) finds k = 15 for p = 4513 <<<
  334. >>> divisionPrecheck (2*k*p+1) finds k = 3 for p = 4517 <<<
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