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Serge_Batalov

C270_151_70.msieve.log

Serge_Batalov
Apr 29th, 2025
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  1. Found 760309244 unique, 187870680 duplicate, and 16 bad relations.
  2. Largest dimension used: 1800 of 1800
  3.  
  4. Mon Apr 28 02:37:19 2025 Msieve v. 1.54 (SVN 1040M)
  5. Mon Apr 28 02:37:19 2025 random seeds: 93a4d2db 88a00d6c
  6. Mon Apr 28 02:37:19 2025 factoring 127795054509734443768698935129819145684426699863865883396292057417991005821866650689070423174378681985396507500321275012739965293781391835757415189980236923621126998353399536856033178740336120634163560773037051432529041747474387945941068529153491849030220078017019099959 (270 digits)
  7. Mon Apr 28 02:37:21 2025 searching for 15-digit factors
  8. Mon Apr 28 02:37:21 2025 commencing number field sieve (270-digit input)
  9. Mon Apr 28 02:37:21 2025 R0: -3203887529980253057019236799601
  10. Mon Apr 28 02:37:21 2025 R1: 22539340290692258087863249000000000000000000000000000000
  11. Mon Apr 28 02:37:21 2025 A0: 70
  12. Mon Apr 28 02:37:21 2025 A1: 0
  13. Mon Apr 28 02:37:21 2025 A2: 0
  14. Mon Apr 28 02:37:21 2025 A3: 0
  15. Mon Apr 28 02:37:21 2025 A4: 0
  16. Mon Apr 28 02:37:21 2025 A5: 1
  17. Mon Apr 28 02:37:21 2025 skew 2.34, size 4.114e-19, alpha 1.367, combined = 5.153e-15 rroots = 1
  18. Mon Apr 28 02:37:21 2025
  19. Mon Apr 28 02:37:21 2025 commencing relation filtering
  20. Mon Apr 28 02:37:21 2025 setting target matrix density to 140.0
  21. Mon Apr 28 02:37:21 2025 estimated available RAM is 1031034.2 MB
  22. Mon Apr 28 02:37:28 2025 commencing duplicate removal, pass 1
  23. Mon Apr 28 04:54:07 2025 skipped 40159 relations with b > 2^32
  24. Mon Apr 28 04:54:07 2025 skipped 7 relations with composite factors
  25. Mon Apr 28 04:54:07 2025 found 111407866 hash collisions in 760269065 relations
  26. Mon Apr 28 04:54:40 2025 added 731429 free relations
  27. Mon Apr 28 04:54:40 2025 commencing duplicate removal, pass 2
  28. Mon Apr 28 05:15:19 2025 found 7673494 duplicates and 753327000 unique relations
  29. Mon Apr 28 05:15:19 2025 memory use: 4518.0 MB
  30. Mon Apr 28 05:15:19 2025 reading ideals above 720000
  31. Mon Apr 28 05:15:19 2025 commencing singleton removal, initial pass
  32. Mon Apr 28 08:21:12 2025 memory use: 11024.0 MB
  33. Mon Apr 28 08:21:13 2025 reading all ideals from disk
  34. Mon Apr 28 08:21:44 2025 memory use: 33432.6 MB
  35. Mon Apr 28 08:23:22 2025 keeping 637473134 ideals with weight <= 200, target excess is 4088465
  36. Mon Apr 28 08:25:31 2025 commencing in-memory singleton removal
  37. Mon Apr 28 08:26:43 2025 begin with 753327000 relations and 637473134 unique ideals
  38. Mon Apr 28 08:41:10 2025 reduce to 524333710 relations and 389661973 ideals in 13 passes
  39. Mon Apr 28 08:41:10 2025 max relations containing the same ideal: 168
  40. Mon Apr 28 08:45:19 2025 removing 12194506 relations and 10194506 ideals in 2000000 cliques
  41. Mon Apr 28 08:45:41 2025 commencing in-memory singleton removal
  42. Mon Apr 28 08:46:23 2025 begin with 512139204 relations and 389661973 unique ideals
  43. Mon Apr 28 08:52:28 2025 reduce to 511948998 relations and 379276268 ideals in 7 passes
  44. Mon Apr 28 08:52:28 2025 max relations containing the same ideal: 164
  45. Mon Apr 28 08:56:21 2025 removing 9358124 relations and 7358124 ideals in 2000000 cliques
  46. Mon Apr 28 08:56:42 2025 commencing in-memory singleton removal
  47. Mon Apr 28 08:57:23 2025 begin with 502590874 relations and 379276268 unique ideals
  48. Mon Apr 28 09:02:31 2025 reduce to 502463629 relations and 371790303 ideals in 6 passes
  49. Mon Apr 28 09:02:31 2025 max relations containing the same ideal: 163
  50. Mon Apr 28 09:06:20 2025 removing 8441959 relations and 6441959 ideals in 2000000 cliques
  51. Mon Apr 28 09:06:41 2025 commencing in-memory singleton removal
  52. Mon Apr 28 09:07:20 2025 begin with 494021670 relations and 371790303 unique ideals
  53. Mon Apr 28 09:13:07 2025 reduce to 493912333 relations and 365238517 ideals in 7 passes
  54. Mon Apr 28 09:13:07 2025 max relations containing the same ideal: 162
  55. Mon Apr 28 09:16:48 2025 removing 7907953 relations and 5907953 ideals in 2000000 cliques
  56. Mon Apr 28 09:17:09 2025 commencing in-memory singleton removal
  57. Mon Apr 28 09:17:47 2025 begin with 486004380 relations and 365238517 unique ideals
  58. Mon Apr 28 09:23:29 2025 reduce to 485904371 relations and 359230116 ideals in 7 passes
  59. Mon Apr 28 09:23:29 2025 max relations containing the same ideal: 159
  60. Mon Apr 28 09:27:08 2025 removing 7535997 relations and 5535997 ideals in 2000000 cliques
  61. Mon Apr 28 09:27:28 2025 commencing in-memory singleton removal
  62. Mon Apr 28 09:28:06 2025 begin with 478368374 relations and 359230116 unique ideals
  63. Mon Apr 28 09:32:54 2025 reduce to 478274554 relations and 353599895 ideals in 6 passes
  64. Mon Apr 28 09:32:54 2025 max relations containing the same ideal: 159
  65. Mon Apr 28 09:36:29 2025 removing 7270959 relations and 5270959 ideals in 2000000 cliques
  66. Mon Apr 28 09:36:49 2025 commencing in-memory singleton removal
  67. Mon Apr 28 09:37:26 2025 begin with 471003595 relations and 353599895 unique ideals
  68. Mon Apr 28 09:42:10 2025 reduce to 470914402 relations and 348239345 ideals in 6 passes
  69. Mon Apr 28 09:42:10 2025 max relations containing the same ideal: 157
  70. Mon Apr 28 09:45:42 2025 removing 7064032 relations and 5064032 ideals in 2000000 cliques
  71. Mon Apr 28 09:46:02 2025 commencing in-memory singleton removal
  72. Mon Apr 28 09:46:38 2025 begin with 463850370 relations and 348239345 unique ideals
  73. Mon Apr 28 09:50:30 2025 reduce to 463763288 relations and 343087839 ideals in 5 passes
  74. Mon Apr 28 09:50:30 2025 max relations containing the same ideal: 156
  75. Mon Apr 28 09:53:56 2025 removing 6900005 relations and 4900005 ideals in 2000000 cliques
  76. Mon Apr 28 09:54:16 2025 commencing in-memory singleton removal
  77. Mon Apr 28 09:54:52 2025 begin with 456863283 relations and 343087839 unique ideals
  78. Mon Apr 28 09:59:25 2025 reduce to 456779047 relations and 338103212 ideals in 6 passes
  79. Mon Apr 28 09:59:25 2025 max relations containing the same ideal: 154
  80. Mon Apr 28 10:02:51 2025 removing 6766255 relations and 4766255 ideals in 2000000 cliques
  81. Mon Apr 28 10:03:10 2025 commencing in-memory singleton removal
  82. Mon Apr 28 10:03:43 2025 begin with 450012792 relations and 338103212 unique ideals
  83. Mon Apr 28 10:08:02 2025 reduce to 449929925 relations and 333253727 ideals in 6 passes
  84. Mon Apr 28 10:08:02 2025 max relations containing the same ideal: 153
  85. Mon Apr 28 10:11:18 2025 removing 6653479 relations and 4653479 ideals in 2000000 cliques
  86. Mon Apr 28 10:11:36 2025 commencing in-memory singleton removal
  87. Mon Apr 28 10:12:10 2025 begin with 443276446 relations and 333253727 unique ideals
  88. Mon Apr 28 10:16:30 2025 reduce to 443195226 relations and 328518648 ideals in 6 passes
  89. Mon Apr 28 10:16:30 2025 max relations containing the same ideal: 150
  90. Mon Apr 28 10:19:47 2025 removing 6560148 relations and 4560148 ideals in 2000000 cliques
  91. Mon Apr 28 10:20:06 2025 commencing in-memory singleton removal
  92. Mon Apr 28 10:20:39 2025 begin with 436635078 relations and 328518648 unique ideals
  93. Mon Apr 28 10:24:12 2025 reduce to 436554813 relations and 323877773 ideals in 5 passes
  94. Mon Apr 28 10:24:12 2025 max relations containing the same ideal: 150
  95. Mon Apr 28 10:27:24 2025 removing 6475800 relations and 4475800 ideals in 2000000 cliques
  96. Mon Apr 28 10:27:42 2025 commencing in-memory singleton removal
  97. Mon Apr 28 10:28:15 2025 begin with 430079013 relations and 323877773 unique ideals
  98. Mon Apr 28 10:32:25 2025 reduce to 429999707 relations and 319322227 ideals in 6 passes
  99. Mon Apr 28 10:32:25 2025 max relations containing the same ideal: 149
  100. Mon Apr 28 10:35:35 2025 removing 6406439 relations and 4406439 ideals in 2000000 cliques
  101. Mon Apr 28 10:35:53 2025 commencing in-memory singleton removal
  102. Mon Apr 28 10:36:25 2025 begin with 423593268 relations and 319322227 unique ideals
  103. Mon Apr 28 10:39:51 2025 reduce to 423514111 relations and 314836205 ideals in 5 passes
  104. Mon Apr 28 10:39:51 2025 max relations containing the same ideal: 148
  105. Mon Apr 28 10:42:58 2025 removing 6343769 relations and 4343769 ideals in 2000000 cliques
  106. Mon Apr 28 10:43:16 2025 commencing in-memory singleton removal
  107. Mon Apr 28 10:43:48 2025 begin with 417170342 relations and 314836205 unique ideals
  108. Mon Apr 28 10:47:49 2025 reduce to 417091955 relations and 310413625 ideals in 6 passes
  109. Mon Apr 28 10:47:49 2025 max relations containing the same ideal: 147
  110. Mon Apr 28 10:50:53 2025 removing 6291862 relations and 4291862 ideals in 2000000 cliques
  111. Mon Apr 28 10:51:10 2025 commencing in-memory singleton removal
  112. Mon Apr 28 10:51:41 2025 begin with 410800093 relations and 310413625 unique ideals
  113. Mon Apr 28 10:55:38 2025 reduce to 410722264 relations and 306043454 ideals in 6 passes
  114. Mon Apr 28 10:55:38 2025 max relations containing the same ideal: 144
  115. Mon Apr 28 10:58:39 2025 removing 6242985 relations and 4242985 ideals in 2000000 cliques
  116. Mon Apr 28 10:58:56 2025 commencing in-memory singleton removal
  117. Mon Apr 28 10:59:26 2025 begin with 404479279 relations and 306043454 unique ideals
  118. Mon Apr 28 11:03:19 2025 reduce to 404401533 relations and 301722254 ideals in 6 passes
  119. Mon Apr 28 11:03:19 2025 max relations containing the same ideal: 142
  120. Mon Apr 28 11:06:17 2025 removing 6198004 relations and 4198004 ideals in 2000000 cliques
  121. Mon Apr 28 11:06:34 2025 commencing in-memory singleton removal
  122. Mon Apr 28 11:07:04 2025 begin with 398203529 relations and 301722254 unique ideals
  123. Mon Apr 28 11:10:15 2025 reduce to 398124940 relations and 297445168 ideals in 5 passes
  124. Mon Apr 28 11:10:15 2025 max relations containing the same ideal: 141
  125. Mon Apr 28 11:13:10 2025 removing 6159651 relations and 4159651 ideals in 2000000 cliques
  126. Mon Apr 28 11:13:26 2025 commencing in-memory singleton removal
  127. Mon Apr 28 11:13:56 2025 begin with 391965289 relations and 297445168 unique ideals
  128. Mon Apr 28 11:18:18 2025 reduce to 391886303 relations and 293206008 ideals in 7 passes
  129. Mon Apr 28 11:18:18 2025 max relations containing the same ideal: 138
  130. Mon Apr 28 11:21:10 2025 removing 6122358 relations and 4122358 ideals in 2000000 cliques
  131. Mon Apr 28 11:21:26 2025 commencing in-memory singleton removal
  132. Mon Apr 28 11:21:54 2025 begin with 385763945 relations and 293206008 unique ideals
  133. Mon Apr 28 11:25:23 2025 reduce to 385684112 relations and 289003302 ideals in 6 passes
  134. Mon Apr 28 11:25:23 2025 max relations containing the same ideal: 137
  135. Mon Apr 28 11:28:06 2025 removing 6092926 relations and 4092926 ideals in 2000000 cliques
  136. Mon Apr 28 11:28:22 2025 commencing in-memory singleton removal
  137. Mon Apr 28 11:28:48 2025 begin with 379591186 relations and 289003302 unique ideals
  138. Mon Apr 28 11:31:28 2025 reduce to 379511010 relations and 284829675 ideals in 5 passes
  139. Mon Apr 28 11:31:28 2025 max relations containing the same ideal: 136
  140. Mon Apr 28 11:34:03 2025 removing 6064812 relations and 4064812 ideals in 2000000 cliques
  141. Mon Apr 28 11:34:18 2025 commencing in-memory singleton removal
  142. Mon Apr 28 11:34:41 2025 begin with 373446198 relations and 284829675 unique ideals
  143. Mon Apr 28 11:37:04 2025 reduce to 373365439 relations and 280683531 ideals in 5 passes
  144. Mon Apr 28 11:37:04 2025 max relations containing the same ideal: 135
  145. Mon Apr 28 11:39:30 2025 removing 6042765 relations and 4042765 ideals in 2000000 cliques
  146. Mon Apr 28 11:39:45 2025 commencing in-memory singleton removal
  147. Mon Apr 28 11:40:08 2025 begin with 367322674 relations and 280683531 unique ideals
  148. Mon Apr 28 11:42:56 2025 reduce to 367241439 relations and 276558960 ideals in 6 passes
  149. Mon Apr 28 11:42:56 2025 max relations containing the same ideal: 133
  150. Mon Apr 28 11:45:18 2025 removing 6019722 relations and 4019722 ideals in 2000000 cliques
  151. Mon Apr 28 11:45:33 2025 commencing in-memory singleton removal
  152. Mon Apr 28 11:45:55 2025 begin with 361221717 relations and 276558960 unique ideals
  153. Mon Apr 28 11:48:40 2025 reduce to 361139258 relations and 272456157 ideals in 6 passes
  154. Mon Apr 28 11:48:40 2025 max relations containing the same ideal: 133
  155. Mon Apr 28 11:50:58 2025 removing 5997765 relations and 3997765 ideals in 2000000 cliques
  156. Mon Apr 28 11:51:13 2025 commencing in-memory singleton removal
  157. Mon Apr 28 11:51:34 2025 begin with 355141493 relations and 272456157 unique ideals
  158. Mon Apr 28 11:54:16 2025 reduce to 355059108 relations and 268375354 ideals in 6 passes
  159. Mon Apr 28 11:54:16 2025 max relations containing the same ideal: 130
  160. Mon Apr 28 11:56:30 2025 removing 5980440 relations and 3980440 ideals in 2000000 cliques
  161. Mon Apr 28 11:56:44 2025 commencing in-memory singleton removal
  162. Mon Apr 28 11:57:06 2025 begin with 349078668 relations and 268375354 unique ideals
  163. Mon Apr 28 11:59:44 2025 reduce to 348994877 relations and 264310417 ideals in 6 passes
  164. Mon Apr 28 11:59:44 2025 max relations containing the same ideal: 129
  165. Mon Apr 28 12:01:57 2025 removing 5966850 relations and 3966850 ideals in 2000000 cliques
  166. Mon Apr 28 12:02:11 2025 commencing in-memory singleton removal
  167. Mon Apr 28 12:02:32 2025 begin with 343028027 relations and 264310417 unique ideals
  168. Mon Apr 28 12:05:08 2025 reduce to 342943183 relations and 260258042 ideals in 6 passes
  169. Mon Apr 28 12:05:08 2025 max relations containing the same ideal: 129
  170. Mon Apr 28 12:07:18 2025 removing 5952803 relations and 3952803 ideals in 2000000 cliques
  171. Mon Apr 28 12:07:31 2025 commencing in-memory singleton removal
  172. Mon Apr 28 12:07:52 2025 begin with 336990380 relations and 260258042 unique ideals
  173. Mon Apr 28 12:10:00 2025 reduce to 336904737 relations and 256218848 ideals in 5 passes
  174. Mon Apr 28 12:10:00 2025 max relations containing the same ideal: 127
  175. Mon Apr 28 12:12:14 2025 removing 5937994 relations and 3937994 ideals in 2000000 cliques
  176. Mon Apr 28 12:12:28 2025 commencing in-memory singleton removal
  177. Mon Apr 28 12:12:51 2025 begin with 330966743 relations and 256218848 unique ideals
  178. Mon Apr 28 12:15:33 2025 reduce to 330879273 relations and 252192592 ideals in 6 passes
  179. Mon Apr 28 12:15:33 2025 max relations containing the same ideal: 127
  180. Mon Apr 28 12:18:07 2025 removing 5928869 relations and 3928869 ideals in 2000000 cliques
  181. Mon Apr 28 12:18:21 2025 commencing in-memory singleton removal
  182. Mon Apr 28 12:18:44 2025 begin with 324950404 relations and 252192592 unique ideals
  183. Mon Apr 28 12:21:36 2025 reduce to 324862246 relations and 248174770 ideals in 6 passes
  184. Mon Apr 28 12:21:36 2025 max relations containing the same ideal: 127
  185. Mon Apr 28 12:23:55 2025 removing 5921802 relations and 3921802 ideals in 2000000 cliques
  186. Mon Apr 28 12:24:09 2025 commencing in-memory singleton removal
  187. Mon Apr 28 12:24:34 2025 begin with 318940444 relations and 248174770 unique ideals
  188. Mon Apr 28 12:27:42 2025 reduce to 318850374 relations and 244162075 ideals in 6 passes
  189. Mon Apr 28 12:27:42 2025 max relations containing the same ideal: 124
  190. Mon Apr 28 12:30:12 2025 removing 5916569 relations and 3916569 ideals in 2000000 cliques
  191. Mon Apr 28 12:30:25 2025 commencing in-memory singleton removal
  192. Mon Apr 28 12:30:50 2025 begin with 312933805 relations and 244162075 unique ideals
  193. Mon Apr 28 12:33:57 2025 reduce to 312842318 relations and 240153145 ideals in 6 passes
  194. Mon Apr 28 12:33:57 2025 max relations containing the same ideal: 124
  195. Mon Apr 28 12:36:26 2025 removing 5909667 relations and 3909667 ideals in 2000000 cliques
  196. Mon Apr 28 12:36:39 2025 commencing in-memory singleton removal
  197. Mon Apr 28 12:37:04 2025 begin with 306932651 relations and 240153145 unique ideals
  198. Mon Apr 28 12:40:08 2025 reduce to 306839552 relations and 236149512 ideals in 6 passes
  199. Mon Apr 28 12:40:08 2025 max relations containing the same ideal: 124
  200. Mon Apr 28 12:42:31 2025 removing 5904812 relations and 3904812 ideals in 2000000 cliques
  201. Mon Apr 28 12:42:44 2025 commencing in-memory singleton removal
  202. Mon Apr 28 12:43:09 2025 begin with 300934740 relations and 236149512 unique ideals
  203. Mon Apr 28 12:46:11 2025 reduce to 300840154 relations and 232149137 ideals in 6 passes
  204. Mon Apr 28 12:46:11 2025 max relations containing the same ideal: 123
  205. Mon Apr 28 12:48:35 2025 removing 5906323 relations and 3906323 ideals in 2000000 cliques
  206. Mon Apr 28 12:48:48 2025 commencing in-memory singleton removal
  207. Mon Apr 28 12:49:12 2025 begin with 294933831 relations and 232149137 unique ideals
  208. Mon Apr 28 12:52:16 2025 reduce to 294837379 relations and 228145381 ideals in 6 passes
  209. Mon Apr 28 12:52:16 2025 max relations containing the same ideal: 121
  210. Mon Apr 28 12:54:38 2025 removing 5905086 relations and 3905086 ideals in 2000000 cliques
  211. Mon Apr 28 12:54:51 2025 commencing in-memory singleton removal
  212. Mon Apr 28 12:55:14 2025 begin with 288932293 relations and 228145381 unique ideals
  213. Mon Apr 28 12:57:41 2025 reduce to 288833326 relations and 224140280 ideals in 5 passes
  214. Mon Apr 28 12:57:41 2025 max relations containing the same ideal: 117
  215. Mon Apr 28 12:59:58 2025 removing 5908566 relations and 3908566 ideals in 2000000 cliques
  216. Mon Apr 28 13:00:11 2025 commencing in-memory singleton removal
  217. Mon Apr 28 13:00:33 2025 begin with 282924760 relations and 224140280 unique ideals
  218. Mon Apr 28 13:03:25 2025 reduce to 282825255 relations and 220131215 ideals in 6 passes
  219. Mon Apr 28 13:03:25 2025 max relations containing the same ideal: 117
  220. Mon Apr 28 13:05:42 2025 removing 5911411 relations and 3911411 ideals in 2000000 cliques
  221. Mon Apr 28 13:05:54 2025 commencing in-memory singleton removal
  222. Mon Apr 28 13:06:17 2025 begin with 276913844 relations and 220131215 unique ideals
  223. Mon Apr 28 13:09:07 2025 reduce to 276812625 relations and 216117538 ideals in 6 passes
  224. Mon Apr 28 13:09:07 2025 max relations containing the same ideal: 116
  225. Mon Apr 28 13:11:20 2025 removing 5908670 relations and 3908670 ideals in 2000000 cliques
  226. Mon Apr 28 13:11:32 2025 commencing in-memory singleton removal
  227. Mon Apr 28 13:11:54 2025 begin with 270903955 relations and 216117538 unique ideals
  228. Mon Apr 28 13:14:37 2025 reduce to 270797958 relations and 212101740 ideals in 6 passes
  229. Mon Apr 28 13:14:37 2025 max relations containing the same ideal: 115
  230. Mon Apr 28 13:16:46 2025 removing 5918450 relations and 3918450 ideals in 2000000 cliques
  231. Mon Apr 28 13:16:57 2025 commencing in-memory singleton removal
  232. Mon Apr 28 13:17:19 2025 begin with 264879508 relations and 212101740 unique ideals
  233. Mon Apr 28 13:19:58 2025 reduce to 264772254 relations and 208074892 ideals in 6 passes
  234. Mon Apr 28 13:19:58 2025 max relations containing the same ideal: 115
  235. Mon Apr 28 13:22:05 2025 removing 5925217 relations and 3925217 ideals in 2000000 cliques
  236. Mon Apr 28 13:22:17 2025 commencing in-memory singleton removal
  237. Mon Apr 28 13:22:38 2025 begin with 258847037 relations and 208074892 unique ideals
  238. Mon Apr 28 13:25:15 2025 reduce to 258737268 relations and 204038643 ideals in 6 passes
  239. Mon Apr 28 13:25:15 2025 max relations containing the same ideal: 112
  240. Mon Apr 28 13:27:18 2025 removing 5938761 relations and 3938761 ideals in 2000000 cliques
  241. Mon Apr 28 13:27:29 2025 commencing in-memory singleton removal
  242. Mon Apr 28 13:27:49 2025 begin with 252798507 relations and 204038643 unique ideals
  243. Mon Apr 28 13:30:23 2025 reduce to 252687133 relations and 199987271 ideals in 6 passes
  244. Mon Apr 28 13:30:23 2025 max relations containing the same ideal: 110
  245. Mon Apr 28 13:32:24 2025 removing 5946796 relations and 3946796 ideals in 2000000 cliques
  246. Mon Apr 28 13:32:35 2025 commencing in-memory singleton removal
  247. Mon Apr 28 13:32:55 2025 begin with 246740337 relations and 199987271 unique ideals
  248. Mon Apr 28 13:35:25 2025 reduce to 246625312 relations and 195924176 ideals in 6 passes
  249. Mon Apr 28 13:35:25 2025 max relations containing the same ideal: 108
  250. Mon Apr 28 13:37:25 2025 removing 5960734 relations and 3960734 ideals in 2000000 cliques
  251. Mon Apr 28 13:37:35 2025 commencing in-memory singleton removal
  252. Mon Apr 28 13:37:55 2025 begin with 240664578 relations and 195924176 unique ideals
  253. Mon Apr 28 13:40:19 2025 reduce to 240545879 relations and 191843383 ideals in 6 passes
  254. Mon Apr 28 13:40:19 2025 max relations containing the same ideal: 102
  255. Mon Apr 28 13:42:14 2025 removing 5972505 relations and 3972505 ideals in 2000000 cliques
  256. Mon Apr 28 13:42:24 2025 commencing in-memory singleton removal
  257. Mon Apr 28 13:42:43 2025 begin with 234573374 relations and 191843383 unique ideals
  258. Mon Apr 28 13:45:02 2025 reduce to 234452016 relations and 187748078 ideals in 6 passes
  259. Mon Apr 28 13:45:02 2025 max relations containing the same ideal: 98
  260. Mon Apr 28 13:46:52 2025 removing 5990278 relations and 3990278 ideals in 2000000 cliques
  261. Mon Apr 28 13:47:03 2025 commencing in-memory singleton removal
  262. Mon Apr 28 13:47:21 2025 begin with 228461738 relations and 187748078 unique ideals
  263. Mon Apr 28 13:49:36 2025 reduce to 228336087 relations and 183630591 ideals in 6 passes
  264. Mon Apr 28 13:49:36 2025 max relations containing the same ideal: 96
  265. Mon Apr 28 13:51:23 2025 removing 6015270 relations and 4015270 ideals in 2000000 cliques
  266. Mon Apr 28 13:51:33 2025 commencing in-memory singleton removal
  267. Mon Apr 28 13:51:50 2025 begin with 222320817 relations and 183630591 unique ideals
  268. Mon Apr 28 13:54:00 2025 reduce to 222191542 relations and 179484534 ideals in 6 passes
  269. Mon Apr 28 13:54:00 2025 max relations containing the same ideal: 94
  270. Mon Apr 28 13:55:44 2025 removing 6032800 relations and 4032800 ideals in 2000000 cliques
  271. Mon Apr 28 13:55:54 2025 commencing in-memory singleton removal
  272. Mon Apr 28 13:56:12 2025 begin with 216158742 relations and 179484534 unique ideals
  273. Mon Apr 28 13:58:21 2025 reduce to 216024771 relations and 175316158 ideals in 6 passes
  274. Mon Apr 28 13:58:21 2025 max relations containing the same ideal: 92
  275. Mon Apr 28 14:00:05 2025 removing 6057160 relations and 4057160 ideals in 2000000 cliques
  276. Mon Apr 28 14:00:14 2025 commencing in-memory singleton removal
  277. Mon Apr 28 14:00:30 2025 begin with 209967611 relations and 175316158 unique ideals
  278. Mon Apr 28 14:02:33 2025 reduce to 209830024 relations and 171119694 ideals in 6 passes
  279. Mon Apr 28 14:02:33 2025 max relations containing the same ideal: 91
  280. Mon Apr 28 14:04:11 2025 removing 6087329 relations and 4087329 ideals in 2000000 cliques
  281. Mon Apr 28 14:04:21 2025 commencing in-memory singleton removal
  282. Mon Apr 28 14:04:35 2025 begin with 203742695 relations and 171119694 unique ideals
  283. Mon Apr 28 14:06:27 2025 reduce to 203598892 relations and 166886811 ideals in 6 passes
  284. Mon Apr 28 14:06:27 2025 max relations containing the same ideal: 90
  285. Mon Apr 28 14:07:58 2025 removing 6115751 relations and 4115751 ideals in 2000000 cliques
  286. Mon Apr 28 14:08:07 2025 commencing in-memory singleton removal
  287. Mon Apr 28 14:08:21 2025 begin with 197483141 relations and 166886811 unique ideals
  288. Mon Apr 28 14:10:02 2025 reduce to 197334304 relations and 162620394 ideals in 6 passes
  289. Mon Apr 28 14:10:02 2025 max relations containing the same ideal: 88
  290. Mon Apr 28 14:11:30 2025 removing 6152737 relations and 4152737 ideals in 2000000 cliques
  291. Mon Apr 28 14:11:38 2025 commencing in-memory singleton removal
  292. Mon Apr 28 14:11:52 2025 begin with 191181567 relations and 162620394 unique ideals
  293. Mon Apr 28 14:13:35 2025 reduce to 191026956 relations and 158311076 ideals in 6 passes
  294. Mon Apr 28 14:13:35 2025 max relations containing the same ideal: 85
  295. Mon Apr 28 14:15:01 2025 removing 6189806 relations and 4189806 ideals in 2000000 cliques
  296. Mon Apr 28 14:15:10 2025 commencing in-memory singleton removal
  297. Mon Apr 28 14:15:23 2025 begin with 184837150 relations and 158311076 unique ideals
  298. Mon Apr 28 14:17:19 2025 reduce to 184676735 relations and 153958802 ideals in 7 passes
  299. Mon Apr 28 14:17:19 2025 max relations containing the same ideal: 84
  300. Mon Apr 28 14:18:42 2025 removing 6230835 relations and 4230835 ideals in 2000000 cliques
  301. Mon Apr 28 14:18:50 2025 commencing in-memory singleton removal
  302. Mon Apr 28 14:19:01 2025 begin with 178445900 relations and 153958802 unique ideals
  303. Mon Apr 28 14:20:21 2025 reduce to 178278171 relations and 149558133 ideals in 6 passes
  304. Mon Apr 28 14:20:21 2025 max relations containing the same ideal: 82
  305. Mon Apr 28 14:21:33 2025 removing 6279472 relations and 4279472 ideals in 2000000 cliques
  306. Mon Apr 28 14:21:41 2025 commencing in-memory singleton removal
  307. Mon Apr 28 14:21:52 2025 begin with 171998699 relations and 149558133 unique ideals
  308. Mon Apr 28 14:23:11 2025 reduce to 171823293 relations and 145101020 ideals in 6 passes
  309. Mon Apr 28 14:23:11 2025 max relations containing the same ideal: 79
  310. Mon Apr 28 14:24:20 2025 removing 6327658 relations and 4327658 ideals in 2000000 cliques
  311. Mon Apr 28 14:24:27 2025 commencing in-memory singleton removal
  312. Mon Apr 28 14:24:38 2025 begin with 165495635 relations and 145101020 unique ideals
  313. Mon Apr 28 14:25:52 2025 reduce to 165311903 relations and 140587203 ideals in 6 passes
  314. Mon Apr 28 14:25:52 2025 max relations containing the same ideal: 77
  315. Mon Apr 28 14:27:02 2025 removing 6381534 relations and 4381534 ideals in 2000000 cliques
  316. Mon Apr 28 14:27:09 2025 commencing in-memory singleton removal
  317. Mon Apr 28 14:27:19 2025 begin with 158930369 relations and 140587203 unique ideals
  318. Mon Apr 28 14:28:30 2025 reduce to 158736754 relations and 136009474 ideals in 6 passes
  319. Mon Apr 28 14:28:30 2025 max relations containing the same ideal: 76
  320. Mon Apr 28 14:29:37 2025 removing 6447119 relations and 4447119 ideals in 2000000 cliques
  321. Mon Apr 28 14:29:44 2025 commencing in-memory singleton removal
  322. Mon Apr 28 14:29:54 2025 begin with 152289635 relations and 136009474 unique ideals
  323. Mon Apr 28 14:31:19 2025 reduce to 152084267 relations and 131354324 ideals in 7 passes
  324. Mon Apr 28 14:31:19 2025 max relations containing the same ideal: 75
  325. Mon Apr 28 14:32:26 2025 removing 6514490 relations and 4514490 ideals in 2000000 cliques
  326. Mon Apr 28 14:32:33 2025 commencing in-memory singleton removal
  327. Mon Apr 28 14:32:43 2025 begin with 145569777 relations and 131354324 unique ideals
  328. Mon Apr 28 14:33:49 2025 reduce to 145352672 relations and 126619803 ideals in 6 passes
  329. Mon Apr 28 14:33:49 2025 max relations containing the same ideal: 72
  330. Mon Apr 28 14:34:52 2025 removing 6589197 relations and 4589197 ideals in 2000000 cliques
  331. Mon Apr 28 14:34:58 2025 commencing in-memory singleton removal
  332. Mon Apr 28 14:35:07 2025 begin with 138763475 relations and 126619803 unique ideals
  333. Mon Apr 28 14:36:20 2025 reduce to 138531483 relations and 121795414 ideals in 7 passes
  334. Mon Apr 28 14:36:20 2025 max relations containing the same ideal: 70
  335. Mon Apr 28 14:37:20 2025 removing 6674180 relations and 4674180 ideals in 2000000 cliques
  336. Mon Apr 28 14:37:26 2025 commencing in-memory singleton removal
  337. Mon Apr 28 14:37:34 2025 begin with 131857303 relations and 121795414 unique ideals
  338. Mon Apr 28 14:38:35 2025 reduce to 131607560 relations and 116868023 ideals in 6 passes
  339. Mon Apr 28 14:38:35 2025 max relations containing the same ideal: 68
  340. Mon Apr 28 14:39:31 2025 removing 6768980 relations and 4768980 ideals in 2000000 cliques
  341. Mon Apr 28 14:39:38 2025 commencing in-memory singleton removal
  342. Mon Apr 28 14:39:45 2025 begin with 124838580 relations and 116868023 unique ideals
  343. Mon Apr 28 14:40:50 2025 reduce to 124570396 relations and 111827041 ideals in 7 passes
  344. Mon Apr 28 14:40:50 2025 max relations containing the same ideal: 65
  345. Mon Apr 28 14:41:44 2025 removing 6879486 relations and 4879486 ideals in 2000000 cliques
  346. Mon Apr 28 14:41:50 2025 commencing in-memory singleton removal
  347. Mon Apr 28 14:41:57 2025 begin with 117690910 relations and 111827041 unique ideals
  348. Mon Apr 28 14:42:49 2025 reduce to 117399450 relations and 106651726 ideals in 6 passes
  349. Mon Apr 28 14:42:49 2025 max relations containing the same ideal: 63
  350. Mon Apr 28 14:43:40 2025 removing 6995075 relations and 4995075 ideals in 2000000 cliques
  351. Mon Apr 28 14:43:46 2025 commencing in-memory singleton removal
  352. Mon Apr 28 14:43:53 2025 begin with 110404375 relations and 106651726 unique ideals
  353. Mon Apr 28 14:44:50 2025 reduce to 110084995 relations and 101332377 ideals in 7 passes
  354. Mon Apr 28 14:44:50 2025 max relations containing the same ideal: 61
  355. Mon Apr 28 14:45:39 2025 removing 7131534 relations and 5131534 ideals in 2000000 cliques
  356. Mon Apr 28 14:45:45 2025 commencing in-memory singleton removal
  357. Mon Apr 28 14:45:51 2025 begin with 102953461 relations and 101332377 unique ideals
  358. Mon Apr 28 14:46:52 2025 reduce to 102598630 relations and 95840359 ideals in 8 passes
  359. Mon Apr 28 14:46:53 2025 max relations containing the same ideal: 59
  360. Mon Apr 28 14:47:37 2025 removing 7289923 relations and 5289923 ideals in 2000000 cliques
  361. Mon Apr 28 14:47:43 2025 commencing in-memory singleton removal
  362. Mon Apr 28 14:47:48 2025 begin with 95308707 relations and 95840359 unique ideals
  363. Mon Apr 28 14:48:46 2025 reduce to 94908893 relations and 90144108 ideals in 8 passes
  364. Mon Apr 28 14:48:46 2025 max relations containing the same ideal: 55
  365. Mon Apr 28 14:49:26 2025 removing 153899 relations and 131734 ideals in 22165 cliques
  366. Mon Apr 28 14:49:30 2025 commencing in-memory singleton removal
  367. Mon Apr 28 14:49:36 2025 begin with 94754994 relations and 90144108 unique ideals
  368. Mon Apr 28 14:50:03 2025 reduce to 94754860 relations and 90012240 ideals in 4 passes
  369. Mon Apr 28 14:50:03 2025 max relations containing the same ideal: 55
  370. Mon Apr 28 14:50:23 2025 relations with 0 large ideals: 78577
  371. Mon Apr 28 14:50:23 2025 relations with 1 large ideals: 128142
  372. Mon Apr 28 14:50:23 2025 relations with 2 large ideals: 1489086
  373. Mon Apr 28 14:50:23 2025 relations with 3 large ideals: 7055302
  374. Mon Apr 28 14:50:23 2025 relations with 4 large ideals: 17572033
  375. Mon Apr 28 14:50:23 2025 relations with 5 large ideals: 25724903
  376. Mon Apr 28 14:50:23 2025 relations with 6 large ideals: 23707807
  377. Mon Apr 28 14:50:23 2025 relations with 7+ large ideals: 18999010
  378. Mon Apr 28 14:50:23 2025 commencing 2-way merge
  379. Mon Apr 28 14:51:26 2025 reduce to 60247503 relation sets and 55504883 unique ideals
  380. Mon Apr 28 14:51:26 2025 commencing full merge
  381. Mon Apr 28 15:16:40 2025 memory use: 6994.7 MB
  382. Mon Apr 28 15:16:46 2025 found 26326110 cycles, need 25943083
  383. Mon Apr 28 15:16:59 2025 weight of 25943083 cycles is about 3632160031 (140.00/cycle)
  384. Mon Apr 28 15:16:59 2025 distribution of cycle lengths:
  385. Mon Apr 28 15:16:59 2025 1 relations: 1232047
  386. Mon Apr 28 15:16:59 2025 2 relations: 1398765
  387. Mon Apr 28 15:16:59 2025 3 relations: 1551131
  388. Mon Apr 28 15:16:59 2025 4 relations: 1607072
  389. Mon Apr 28 15:16:59 2025 5 relations: 1688189
  390. Mon Apr 28 15:16:59 2025 6 relations: 1725199
  391. Mon Apr 28 15:16:59 2025 7 relations: 1740404
  392. Mon Apr 28 15:16:59 2025 8 relations: 1727579
  393. Mon Apr 28 15:16:59 2025 9 relations: 1672920
  394. Mon Apr 28 15:16:59 2025 10+ relations: 11599777
  395. Mon Apr 28 15:16:59 2025 heaviest cycle: 28 relations
  396. Mon Apr 28 15:17:07 2025 commencing cycle optimization
  397. Mon Apr 28 15:18:18 2025 start with 243116876 relations
  398. Mon Apr 28 15:29:33 2025 pruned 12392627 relations
  399. Mon Apr 28 15:29:33 2025 memory use: 6343.5 MB
  400. Mon Apr 28 15:29:33 2025 distribution of cycle lengths:
  401. Mon Apr 28 15:29:33 2025 1 relations: 1232047
  402. Mon Apr 28 15:29:33 2025 2 relations: 1435119
  403. Mon Apr 28 15:29:33 2025 3 relations: 1617661
  404. Mon Apr 28 15:29:33 2025 4 relations: 1679729
  405. Mon Apr 28 15:29:33 2025 5 relations: 1781853
  406. Mon Apr 28 15:29:33 2025 6 relations: 1823854
  407. Mon Apr 28 15:29:33 2025 7 relations: 1854258
  408. Mon Apr 28 15:29:33 2025 8 relations: 1837353
  409. Mon Apr 28 15:29:33 2025 9 relations: 1782135
  410. Mon Apr 28 15:29:33 2025 10+ relations: 10899074
  411. Mon Apr 28 15:29:33 2025 heaviest cycle: 28 relations
  412. Mon Apr 28 15:31:01 2025 RelProcTime: 46420
  413. Mon Apr 28 15:31:01 2025
  414. Mon Apr 28 15:31:01 2025 commencing linear algebra
  415. Mon Apr 28 15:31:04 2025 read 25943083 cycles
  416. Mon Apr 28 15:32:11 2025 cycles contain 92433913 unique relations
  417. Mon Apr 28 15:57:33 2025 read 92433913 relations
  418. Mon Apr 28 16:02:39 2025 using 20 quadratic characters above 4294917295
  419. Mon Apr 28 16:11:40 2025 building initial matrix
  420. Mon Apr 28 16:49:56 2025 memory use: 12376.6 MB
  421. Mon Apr 28 16:50:16 2025 read 25943083 cycles
  422. Mon Apr 28 16:50:20 2025 matrix is 25942903 x 25943083 (13878.2 MB) with weight 3981202310 (153.46/col)
  423. Mon Apr 28 16:50:20 2025 sparse part has weight 3352703738 (129.23/col)
  424. Mon Apr 28 17:01:07 2025 filtering completed in 2 passes
  425. Mon Apr 28 17:01:15 2025 matrix is 25941791 x 25941971 (13878.0 MB) with weight 3981148490 (153.46/col)
  426. Mon Apr 28 17:01:15 2025 sparse part has weight 3352677340 (129.24/col)
  427. Mon Apr 28 17:11:32 2025 matrix starts at (0, 0)
  428. Mon Apr 28 17:11:36 2025 matrix is 25941791 x 25941971 (13878.0 MB) with weight 3981148490 (153.46/col)
  429. Mon Apr 28 17:11:36 2025 sparse part has weight 3352677340 (129.24/col)
  430. Mon Apr 28 17:11:36 2025 saving the first 48 matrix rows for later
  431. Mon Apr 28 17:11:43 2025 matrix includes 64 packed rows
  432. Mon Apr 28 17:11:48 2025 matrix is 25941743 x 25941971 (13368.2 MB) with weight 3462532251 (133.47/col)
  433. Mon Apr 28 17:11:48 2025 sparse part has weight 3244982962 (125.09/col)
  434. Mon Apr 28 17:11:48 2025 using block size 8192 and superblock size 10321920 for processor cache size 107520 kB
  435. Mon Apr 28 17:14:03 2025 commencing Lanczos iteration (4 threads)
  436. Mon Apr 28 17:14:03 2025 memory use: 12875.6 MB
  437. Mon Apr 28 17:12:29 2025
  438. Mon Apr 28 17:12:29 2025 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
  439. Mon Apr 28 17:12:29 2025 random seeds: e40e9751 b2cab04e
  440. Mon Apr 28 17:12:29 2025 factoring 127795054509734443768698935129819145684426699863865883396292057417991005821866650689070423174378681985396507500321275012739965293781391835757415189980236923621126998353399536856033178740336120634163560773037051432529041747474387945941068529153491849030220078017019099959 (270 digits)
  441. Mon Apr 28 17:12:30 2025 no P-1/P+1/ECM available, skipping
  442. Mon Apr 28 17:12:30 2025 commencing number field sieve (270-digit input)
  443. Mon Apr 28 17:12:30 2025 R0: -3203887529980253057019236799601
  444. Mon Apr 28 17:12:30 2025 R1: 22539340290692258087863249000000000000000000000000000000
  445. Mon Apr 28 17:12:30 2025 A0: 70
  446. Mon Apr 28 17:12:30 2025 A1: 0
  447. Mon Apr 28 17:12:30 2025 A2: 0
  448. Mon Apr 28 17:12:30 2025 A3: 0
  449. Mon Apr 28 17:12:30 2025 A4: 0
  450. Mon Apr 28 17:12:30 2025 A5: 1
  451. Mon Apr 28 17:12:30 2025 skew 2.34, size 4.114e-19, alpha 1.367, combined = 5.153e-15 rroots = 1
  452. Mon Apr 28 17:12:30 2025
  453. Mon Apr 28 17:12:30 2025 commencing linear algebra
  454. Mon Apr 28 17:12:30 2025 using VBITS=256
  455. Mon Apr 28 17:12:30 2025 skipping matrix build
  456. Mon Apr 28 17:13:35 2025 matrix starts at (0, 0)
  457. Mon Apr 28 17:13:38 2025 matrix is 25941791 x 25941971 (13878.0 MB) with weight 3981148490 (153.46/col)
  458. Mon Apr 28 17:13:38 2025 sparse part has weight 3352677340 (129.24/col)
  459. Mon Apr 28 17:13:38 2025 saving the first 240 matrix rows for later
  460. Mon Apr 28 17:13:48 2025 matrix includes 256 packed rows
  461. Mon Apr 28 17:14:01 2025 matrix is 25941551 x 25941971 (12800.0 MB) with weight 3083788559 (118.87/col)
  462. Mon Apr 28 17:14:01 2025 sparse part has weight 2940377413 (113.34/col)
  463. Mon Apr 28 17:14:01 2025 using GPU 0 (NVIDIA L40S)
  464. Mon Apr 28 17:14:01 2025 selected card has CUDA arch 8.9
  465. Mon Apr 28 17:22:24 2025 commencing Lanczos iteration
  466. Mon Apr 28 17:22:27 2025 memory use: 29162.6 MB
  467. Mon Apr 28 17:23:54 2025 linear algebra at 0.1%, ETA 20h12m
  468. Mon Apr 28 17:26:04 2025 checking every 10000 dimensions, checkpointing every 650000 dimensions
  469. Tue Apr 29 13:44:52 2025 lanczos halted after 101638 iterations (dim = 25941544)
  470. Tue Apr 29 13:48:34 2025 recovered 30 nontrivial dependencies
  471. Tue Apr 29 13:48:35 2025 BLanczosTime: 74165
  472. Tue Apr 29 13:48:35 2025
  473. Tue Apr 29 13:48:35 2025 commencing square root phase
  474. Tue Apr 29 13:48:35 2025 handling dependencies 1 to 64
  475. Tue Apr 29 13:48:35 2025 reading relations for dependency 1
  476. Tue Apr 29 13:48:53 2025 read 12974977 cycles
  477. Tue Apr 29 13:49:32 2025 cycles contain 46225702 unique relations
  478. Tue Apr 29 14:13:11 2025 read 46225702 relations
  479. Tue Apr 29 14:18:15 2025 multiplying 46225702 relations
  480. Tue Apr 29 15:06:28 2025 multiply complete, coefficients have about 1311.57 million bits
  481. Tue Apr 29 15:06:31 2025 initial square root is modulo 764431
  482. Tue Apr 29 15:45:53 2025 GCD is N, no factor found
  483. Tue Apr 29 13:49:08 2025
  484. Tue Apr 29 13:49:08 2025 Msieve v. 1.54 (SVN 1040M)
  485. Tue Apr 29 13:49:08 2025 random seeds: 00023b1b 5317b10f
  486. Tue Apr 29 13:49:08 2025 factoring 127795054509734443768698935129819145684426699863865883396292057417991005821866650689070423174378681985396507500321275012739965293781391835757415189980236923621126998353399536856033178740336120634163560773037051432529041747474387945941068529153491849030220078017019099959 (270 digits)
  487. Tue Apr 29 13:49:09 2025 searching for 15-digit factors
  488. Tue Apr 29 13:49:10 2025 commencing number field sieve (270-digit input)
  489. Tue Apr 29 13:49:10 2025 R0: -3203887529980253057019236799601
  490. Tue Apr 29 13:49:10 2025 R1: 22539340290692258087863249000000000000000000000000000000
  491. Tue Apr 29 13:49:10 2025 A0: 70
  492. Tue Apr 29 13:49:10 2025 A1: 0
  493. Tue Apr 29 13:49:10 2025 A2: 0
  494. Tue Apr 29 13:49:10 2025 A3: 0
  495. Tue Apr 29 13:49:10 2025 A4: 0
  496. Tue Apr 29 13:49:10 2025 A5: 1
  497. Tue Apr 29 13:49:10 2025 skew 2.34, size 4.114e-19, alpha 1.367, combined = 5.153e-15 rroots = 1
  498. Tue Apr 29 13:49:10 2025
  499. Tue Apr 29 13:49:10 2025 commencing square root phase
  500. Tue Apr 29 13:49:10 2025 handling dependencies 10 to 14
  501. Tue Apr 29 13:49:10 2025 reading relations for dependency 10
  502. Tue Apr 29 13:49:14 2025 read 12967716 cycles
  503. Tue Apr 29 13:49:50 2025 cycles contain 46204366 unique relations
  504. Tue Apr 29 14:12:23 2025 read 46204366 relations
  505. Tue Apr 29 14:17:12 2025 multiplying 46204366 relations
  506. Tue Apr 29 15:00:11 2025 multiply complete, coefficients have about 1310.98 million bits
  507. Tue Apr 29 15:00:15 2025 initial square root is modulo 759821
  508. Tue Apr 29 15:48:04 2025 sqrtTime: 7134
  509. Tue Apr 29 15:48:04 2025 p74 factor: 18740087525779139700199236076475749060500660478771348288405493469563555477
  510. Tue Apr 29 15:48:04 2025 p196 factor: 6819341389624658338559736096893907925878328496051301825318706957996042399095607366361116723108767574983739276867671049716018031059568293461389674831780354213674358853442433589005048775211996679067
  511. Tue Apr 29 15:48:04 2025 elapsed time 01:58:56
  512.  
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