kyleaskine

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Jun 18th, 2026
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  1. Mon Jun 15 21:57:22 2026
  2. Mon Jun 15 21:57:22 2026
  3. Mon Jun 15 21:57:22 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Jun 15 21:57:22 2026 random seeds: bfdfd133 8c95e68e
  5. Mon Jun 15 21:57:22 2026 Using 8 OpenMP threads
  6. Mon Jun 15 21:57:22 2026 factoring 20518425934404414747116645488611092495594569056777849447282532204413647400449552912419890800837103793528072467863904977723812819305391942766783493259681152969302396165645783858779338758915729 (191 digits)
  7. Mon Jun 15 21:57:22 2026 no P-1/P+1/ECM available, skipping
  8. Mon Jun 15 21:57:22 2026 commencing number field sieve (191-digit input)
  9. Mon Jun 15 21:57:22 2026 R0: -8934721896769377414975552548352784279
  10. Mon Jun 15 21:57:22 2026 R1: 226939422758817350568737
  11. Mon Jun 15 21:57:22 2026 A0: 872213818539299662184325201559989568000682568
  12. Mon Jun 15 21:57:22 2026 A1: -25384781967564471957943069469229413922
  13. Mon Jun 15 21:57:22 2026 A2: -1165529172836429412832917944891
  14. Mon Jun 15 21:57:22 2026 A3: 16858843041489443894487
  15. Mon Jun 15 21:57:22 2026 A4: 148112829648418
  16. Mon Jun 15 21:57:22 2026 A5: 720720
  17. Mon Jun 15 21:57:22 2026 skew 60638004.16, size 1.665e-18, alpha -7.464, combined = 2.439e-14 rroots = 3
  18. Mon Jun 15 21:57:22 2026
  19. Mon Jun 15 21:57:22 2026 commencing relation filtering
  20. Mon Jun 15 21:57:22 2026 setting 3 target densities:Mon Jun 15 21:57:22 2026 80Mon Jun 15 21:57:22 2026 100Mon Jun 15 21:57:22 2026 120Mon Jun 15 21:57:22 2026
  21. Mon Jun 15 21:57:22 2026 estimated available RAM is 78540.1 MB
  22. Mon Jun 15 21:57:22 2026 commencing duplicate removal, pass 1
  23. Mon Jun 15 22:09:07 2026 error -1 reading relation 160141133
  24. Mon Jun 15 22:09:29 2026 error -1 reading relation 162836173
  25. Mon Jun 15 22:11:50 2026 error -1 reading relation 193731890
  26. Mon Jun 15 22:12:18 2026 error -1 reading relation 203635096
  27. Mon Jun 15 22:12:18 2026 error -1 reading relation 203658401
  28. Mon Jun 15 22:12:25 2026 error -1 reading relation 205209681
  29. Mon Jun 15 22:12:28 2026 error -1 reading relation 206099902
  30. Mon Jun 15 22:12:30 2026 error -1 reading relation 206513224
  31. Mon Jun 15 22:12:38 2026 error -1 reading relation 208350698
  32. Mon Jun 15 22:13:21 2026 error -1 reading relation 218460006
  33. Mon Jun 15 22:13:43 2026 error -1 reading relation 221327041
  34. Mon Jun 15 22:13:43 2026 error -1 reading relation 221347887
  35. Mon Jun 15 22:13:45 2026 error -1 reading relation 224285269
  36. Mon Jun 15 22:14:27 2026 error -1 reading relation 234123740
  37. Mon Jun 15 22:14:46 2026 error -1 reading relation 236076698
  38. Mon Jun 15 22:15:03 2026 error -1 reading relation 243007559
  39. Mon Jun 15 22:15:21 2026 error -1 reading relation 247312597
  40. Mon Jun 15 22:15:23 2026 error -1 reading relation 247705596
  41. Mon Jun 15 22:15:41 2026 error -1 reading relation 252294318
  42. Mon Jun 15 22:18:43 2026 error -1 reading relation 292482169
  43. Mon Jun 15 22:19:33 2026 error -15 reading relation 304045960
  44. Mon Jun 15 22:19:37 2026 error -1 reading relation 307406063
  45. Mon Jun 15 22:20:42 2026 error -1 reading relation 322609405
  46. Mon Jun 15 22:20:59 2026 error -1 reading relation 326609220
  47. Mon Jun 15 22:22:12 2026 error -1 reading relation 344185639
  48. Mon Jun 15 22:22:16 2026 error -1 reading relation 344875793
  49. Mon Jun 15 22:22:18 2026 error -1 reading relation 345497855
  50. Mon Jun 15 22:22:36 2026 error -1 reading relation 349587811
  51. Mon Jun 15 22:22:38 2026 error -1 reading relation 349950616
  52. Mon Jun 15 22:22:42 2026 error -1 reading relation 350747455
  53. Mon Jun 15 22:26:04 2026 error -1 reading relation 398052688
  54. Mon Jun 15 22:26:47 2026 error -1 reading relation 407988735
  55. Mon Jun 15 22:26:53 2026 error -1 reading relation 409443146
  56. Mon Jun 15 22:27:25 2026 error -1 reading relation 416761726
  57. Mon Jun 15 22:27:54 2026 error -1 reading relation 423288271
  58. Mon Jun 15 22:28:37 2026 error -1 reading relation 430319650
  59. Mon Jun 15 22:28:31 2026 error -1 reading relation 431446871
  60. Mon Jun 15 22:28:45 2026 error -1 reading relation 432476563
  61. Mon Jun 15 22:29:03 2026 error -1 reading relation 438122404
  62. Mon Jun 15 22:29:28 2026 error -1 reading relation 443615182
  63. Mon Jun 15 22:30:26 2026 error -1 reading relation 455448194
  64. Mon Jun 15 22:30:58 2026 error -1 reading relation 461904167
  65. Mon Jun 15 22:31:02 2026 error -1 reading relation 462720564
  66. Mon Jun 15 22:31:21 2026 error -1 reading relation 464617724
  67. Mon Jun 15 22:31:24 2026 error -1 reading relation 465114989
  68. Mon Jun 15 22:31:34 2026 error -1 reading relation 469522456
  69. Mon Jun 15 22:31:38 2026 error -1 reading relation 470377440
  70. Mon Jun 15 22:32:05 2026 error -1 reading relation 473975263
  71. Mon Jun 15 22:32:10 2026 error -1 reading relation 477176192
  72. Mon Jun 15 22:32:27 2026 error -1 reading relation 478784115
  73. Mon Jun 15 22:33:20 2026 error -1 reading relation 492302885
  74. Mon Jun 15 22:33:30 2026 error -1 reading relation 494323630
  75. Mon Jun 15 22:33:51 2026 error -1 reading relation 496559928
  76. Mon Jun 15 22:33:59 2026 error -1 reading relation 498069921
  77. Mon Jun 15 22:34:04 2026 error -1 reading relation 499229342
  78. Mon Jun 15 22:34:04 2026 error -1 reading relation 499257564
  79. Mon Jun 15 22:34:01 2026 error -1 reading relation 500722946
  80. Mon Jun 15 22:34:02 2026 error -1 reading relation 500880260
  81. Mon Jun 15 22:34:35 2026 error -1 reading relation 506046087
  82. Mon Jun 15 22:34:47 2026 error -1 reading relation 510614360
  83. Mon Jun 15 22:35:01 2026 error -1 reading relation 513573055
  84. Mon Jun 15 22:35:03 2026 error -1 reading relation 513912835
  85. Mon Jun 15 22:35:35 2026 error -1 reading relation 521084037
  86. Mon Jun 15 22:35:56 2026 error -1 reading relation 525325208
  87. Mon Jun 15 22:36:09 2026 error -1 reading relation 527965968
  88. Mon Jun 15 22:36:11 2026 error -1 reading relation 528525839
  89. Mon Jun 15 22:36:21 2026 error -1 reading relation 530702773
  90. Mon Jun 15 22:36:23 2026 error -1 reading relation 531014018
  91. Mon Jun 15 22:37:10 2026 error -1 reading relation 539123606
  92. Mon Jun 15 22:37:10 2026 error -1 reading relation 541248145
  93. Mon Jun 15 22:37:23 2026 error -1 reading relation 544190190
  94. Mon Jun 15 22:37:35 2026 error -1 reading relation 546943011
  95. Mon Jun 15 22:37:36 2026 error -1 reading relation 547210816
  96. Mon Jun 15 22:37:36 2026 error -1 reading relation 547293619
  97. Mon Jun 15 22:37:40 2026 error -1 reading relation 547914185
  98. Mon Jun 15 22:38:02 2026 error -1 reading relation 552926859
  99. Mon Jun 15 22:38:06 2026 error -11 reading relation 553980988
  100. Mon Jun 15 22:38:08 2026 error -1 reading relation 554373676
  101. Mon Jun 15 22:38:11 2026 error -1 reading relation 554800512
  102. Mon Jun 15 22:38:31 2026 error -1 reading relation 558883814
  103. Mon Jun 15 22:38:49 2026 error -11 reading relation 562762968
  104. Mon Jun 15 22:38:55 2026 error -1 reading relation 563976751
  105. Mon Jun 15 22:39:10 2026 error -1 reading relation 567122412
  106. Mon Jun 15 22:39:33 2026 error -1 reading relation 569765388
  107. Mon Jun 15 22:39:35 2026 error -1 reading relation 570295485
  108. Mon Jun 15 22:39:32 2026 error -1 reading relation 571946124
  109. Mon Jun 15 22:39:34 2026 error -1 reading relation 572224508
  110. Mon Jun 15 22:39:46 2026 error -1 reading relation 572866958
  111. Mon Jun 15 22:40:00 2026 error -1 reading relation 575577418
  112. Mon Jun 15 22:39:59 2026 error -1 reading relation 577557150
  113. Mon Jun 15 22:40:11 2026 error -1 reading relation 579828142
  114. Mon Jun 15 22:40:13 2026 error -1 reading relation 580206159
  115. Mon Jun 15 22:40:19 2026 error -1 reading relation 581443188
  116. Mon Jun 15 22:40:19 2026 error -1 reading relation 581540871
  117. Mon Jun 15 22:40:24 2026 error -1 reading relation 582402868
  118. Mon Jun 15 22:40:44 2026 error -1 reading relation 586399058
  119. Mon Jun 15 22:41:48 2026 error -1 reading relation 598304903
  120. Mon Jun 15 22:42:22 2026 error -1 reading relation 603875993
  121. Mon Jun 15 22:42:25 2026 error -1 reading relation 604341028
  122. Mon Jun 15 22:42:29 2026 error -1 reading relation 605274362
  123. Mon Jun 15 22:43:11 2026 error -1 reading relation 617453032
  124. Mon Jun 15 22:43:23 2026 error -1 reading relation 619585433
  125. Mon Jun 15 22:43:26 2026 error -1 reading relation 620219030
  126. Mon Jun 15 22:43:28 2026 error -1 reading relation 620540208
  127. Mon Jun 15 22:43:29 2026 error -15 reading relation 620577971
  128. Mon Jun 15 22:43:29 2026 error -1 reading relation 620706211
  129. Mon Jun 15 22:43:31 2026 error -15 reading relation 621060458
  130. Mon Jun 15 22:43:31 2026 error -15 reading relation 621071179
  131. Mon Jun 15 22:43:32 2026 error -1 reading relation 621162265
  132. Mon Jun 15 22:43:32 2026 error -1 reading relation 621176932
  133. Mon Jun 15 22:43:32 2026 error -1 reading relation 621258517
  134. Mon Jun 15 22:43:33 2026 error -1 reading relation 621452528
  135. Mon Jun 15 22:43:34 2026 error -1 reading relation 621622857
  136. Mon Jun 15 22:43:49 2026 error -1 reading relation 622523134
  137. Mon Jun 15 22:43:49 2026 error -1 reading relation 622526192
  138. Mon Jun 15 22:43:51 2026 error -1 reading relation 622760936
  139. Mon Jun 15 22:43:56 2026 error -1 reading relation 623664115
  140. Mon Jun 15 22:43:50 2026 error -1 reading relation 624577146
  141. Mon Jun 15 22:43:50 2026 error -1 reading relation 624578934
  142. Mon Jun 15 22:43:56 2026 error -1 reading relation 625703522
  143. Mon Jun 15 22:44:06 2026 error -1 reading relation 627682534
  144. Mon Jun 15 22:44:07 2026 error -1 reading relation 627950973
  145. Mon Jun 15 22:44:08 2026 error -1 reading relation 628102668
  146. Mon Jun 15 22:44:14 2026 error -1 reading relation 629267500
  147. Mon Jun 15 22:44:23 2026 error -1 reading relation 631104040
  148. Mon Jun 15 22:44:23 2026 error -1 reading relation 631184627
  149. Mon Jun 15 22:44:25 2026 error -1 reading relation 631519336
  150. Mon Jun 15 22:44:37 2026 error -1 reading relation 634000804
  151. Mon Jun 15 22:44:50 2026 error -1 reading relation 636656602
  152. Mon Jun 15 22:44:51 2026 error -1 reading relation 636846744
  153. Mon Jun 15 22:45:21 2026 error -1 reading relation 643470953
  154. Mon Jun 15 22:45:24 2026 error -15 reading relation 643993386
  155. Mon Jun 15 22:45:24 2026 error -15 reading relation 644108400
  156. Mon Jun 15 22:45:24 2026 error -1 reading relation 644108401
  157. Mon Jun 15 22:45:27 2026 error -15 reading relation 644845716
  158. Mon Jun 15 22:45:29 2026 error -1 reading relation 645228899
  159. Mon Jun 15 22:45:51 2026 error -1 reading relation 649866015
  160. Mon Jun 15 22:45:57 2026 error -1 reading relation 651096358
  161. Mon Jun 15 22:46:00 2026 error -1 reading relation 651754743
  162. Mon Jun 15 22:46:06 2026 error -1 reading relation 652948944
  163. Mon Jun 15 22:46:12 2026 skipped 4 relations with composite factors
  164. Mon Jun 15 22:46:12 2026 skipped 862 malformed relations
  165. Mon Jun 15 22:46:12 2026 found 146564948 hash collisions in 654014186 relations
  166. Mon Jun 15 22:46:37 2026 added 121913 free relations
  167. Mon Jun 15 22:46:37 2026 commencing duplicate removal, pass 2
  168. Mon Jun 15 23:03:26 2026 found 161339894 duplicates and 492796205 unique relations
  169. Mon Jun 15 23:03:26 2026 memory use: 3411.0 MB
  170. Mon Jun 15 23:03:27 2026 reading ideals above 299958272
  171. Mon Jun 15 23:03:27 2026 commencing singleton removal, initial pass
  172. Mon Jun 15 23:51:01 2026 memory use: 11024.0 MB
  173. Mon Jun 15 23:51:02 2026 reading all ideals from disk
  174. Mon Jun 15 23:51:12 2026 memory use: 12958.7 MB
  175. Mon Jun 15 23:51:42 2026 commencing in-memory singleton removal
  176. Mon Jun 15 23:51:48 2026 begin with 492796205 relations and 447939232 unique ideals
  177. Mon Jun 15 23:53:03 2026 reduce to 288248088 relations and 220412713 ideals in 17 passes
  178. Mon Jun 15 23:53:03 2026 max relations containing the same ideal: 45
  179. Mon Jun 15 23:53:14 2026 reading ideals above 720000
  180. Mon Jun 15 23:53:15 2026 commencing singleton removal, initial pass
  181. Tue Jun 16 00:33:11 2026 memory use: 6024.0 MB
  182. Tue Jun 16 00:33:12 2026 reading all ideals from disk
  183. Tue Jun 16 00:33:22 2026 memory use: 14449.6 MB
  184. Tue Jun 16 00:33:55 2026 keeping 251428885 ideals with weight <= 200, target excess is 1483153
  185. Tue Jun 16 00:34:40 2026 commencing in-memory singleton removal
  186. Tue Jun 16 00:34:48 2026 begin with 288248088 relations and 251428885 unique ideals
  187. Tue Jun 16 00:36:08 2026 reduce to 288227512 relations and 251408309 ideals in 12 passes
  188. Tue Jun 16 00:36:08 2026 max relations containing the same ideal: 200
  189. Tue Jun 16 00:39:10 2026 removing 16292508 relations and 14292508 ideals in 2000000 cliques
  190. Tue Jun 16 00:39:18 2026 commencing in-memory singleton removal
  191. Tue Jun 16 00:39:25 2026 begin with 271935004 relations and 251408309 unique ideals
  192. Tue Jun 16 00:40:34 2026 reduce to 271186058 relations and 236359463 ideals in 11 passes
  193. Tue Jun 16 00:40:34 2026 max relations containing the same ideal: 199
  194. Tue Jun 16 00:43:24 2026 removing 12211385 relations and 10211385 ideals in 2000000 cliques
  195. Tue Jun 16 00:43:31 2026 commencing in-memory singleton removal
  196. Tue Jun 16 00:43:38 2026 begin with 258974673 relations and 236359463 unique ideals
  197. Tue Jun 16 00:44:24 2026 reduce to 258511788 relations and 225681359 ideals in 8 passes
  198. Tue Jun 16 00:44:24 2026 max relations containing the same ideal: 195
  199. Tue Jun 16 00:47:03 2026 removing 10922748 relations and 8922748 ideals in 2000000 cliques
  200. Tue Jun 16 00:47:09 2026 commencing in-memory singleton removal
  201. Tue Jun 16 00:47:15 2026 begin with 247589040 relations and 225681359 unique ideals
  202. Tue Jun 16 00:47:54 2026 reduce to 247193503 relations and 216359948 ideals in 7 passes
  203. Tue Jun 16 00:47:54 2026 max relations containing the same ideal: 192
  204. Tue Jun 16 00:50:26 2026 removing 10229536 relations and 8229536 ideals in 2000000 cliques
  205. Tue Jun 16 00:50:33 2026 commencing in-memory singleton removal
  206. Tue Jun 16 00:50:38 2026 begin with 236963967 relations and 216359948 unique ideals
  207. Tue Jun 16 00:51:22 2026 reduce to 236601950 relations and 207765465 ideals in 8 passes
  208. Tue Jun 16 00:51:22 2026 max relations containing the same ideal: 187
  209. Tue Jun 16 00:53:44 2026 removing 9776518 relations and 7776518 ideals in 2000000 cliques
  210. Tue Jun 16 00:53:49 2026 commencing in-memory singleton removal
  211. Tue Jun 16 00:53:55 2026 begin with 226825432 relations and 207765465 unique ideals
  212. Tue Jun 16 00:54:31 2026 reduce to 226481011 relations and 199641729 ideals in 7 passes
  213. Tue Jun 16 00:54:31 2026 max relations containing the same ideal: 181
  214. Tue Jun 16 00:56:45 2026 removing 9461178 relations and 7461178 ideals in 2000000 cliques
  215. Tue Jun 16 00:56:50 2026 commencing in-memory singleton removal
  216. Tue Jun 16 00:56:56 2026 begin with 217019833 relations and 199641729 unique ideals
  217. Tue Jun 16 00:57:35 2026 reduce to 216682709 relations and 191840771 ideals in 8 passes
  218. Tue Jun 16 00:57:35 2026 max relations containing the same ideal: 178
  219. Tue Jun 16 00:59:49 2026 removing 9226178 relations and 7226178 ideals in 2000000 cliques
  220. Tue Jun 16 00:59:55 2026 commencing in-memory singleton removal
  221. Tue Jun 16 01:00:00 2026 begin with 207456531 relations and 191840771 unique ideals
  222. Tue Jun 16 01:00:32 2026 reduce to 207119047 relations and 184274252 ideals in 7 passes
  223. Tue Jun 16 01:00:32 2026 max relations containing the same ideal: 171
  224. Tue Jun 16 01:02:45 2026 removing 9066444 relations and 7066444 ideals in 2000000 cliques
  225. Tue Jun 16 01:02:51 2026 commencing in-memory singleton removal
  226. Tue Jun 16 01:02:56 2026 begin with 198052603 relations and 184274252 unique ideals
  227. Tue Jun 16 01:03:32 2026 reduce to 197714088 relations and 176866315 ideals in 8 passes
  228. Tue Jun 16 01:03:32 2026 max relations containing the same ideal: 168
  229. Tue Jun 16 01:05:32 2026 removing 8951114 relations and 6951114 ideals in 2000000 cliques
  230. Tue Jun 16 01:05:37 2026 commencing in-memory singleton removal
  231. Tue Jun 16 01:05:42 2026 begin with 188762974 relations and 176866315 unique ideals
  232. Tue Jun 16 01:06:11 2026 reduce to 188419714 relations and 169568729 ideals in 7 passes
  233. Tue Jun 16 01:06:11 2026 max relations containing the same ideal: 164
  234. Tue Jun 16 01:08:13 2026 removing 8863210 relations and 6863210 ideals in 2000000 cliques
  235. Tue Jun 16 01:08:18 2026 commencing in-memory singleton removal
  236. Tue Jun 16 01:08:23 2026 begin with 179556504 relations and 169568729 unique ideals
  237. Tue Jun 16 01:08:55 2026 reduce to 179202848 relations and 162348542 ideals in 8 passes
  238. Tue Jun 16 01:08:55 2026 max relations containing the same ideal: 159
  239. Tue Jun 16 01:10:52 2026 removing 8809093 relations and 6809093 ideals in 2000000 cliques
  240. Tue Jun 16 01:10:57 2026 commencing in-memory singleton removal
  241. Tue Jun 16 01:11:01 2026 begin with 170393755 relations and 162348542 unique ideals
  242. Tue Jun 16 01:11:31 2026 reduce to 170026791 relations and 155168813 ideals in 8 passes
  243. Tue Jun 16 01:11:31 2026 max relations containing the same ideal: 150
  244. Tue Jun 16 01:13:22 2026 removing 8785381 relations and 6785381 ideals in 2000000 cliques
  245. Tue Jun 16 01:13:27 2026 commencing in-memory singleton removal
  246. Tue Jun 16 01:13:31 2026 begin with 161241410 relations and 155168813 unique ideals
  247. Tue Jun 16 01:13:56 2026 reduce to 160857160 relations and 147995236 ideals in 7 passes
  248. Tue Jun 16 01:13:56 2026 max relations containing the same ideal: 146
  249. Tue Jun 16 01:15:35 2026 removing 8778489 relations and 6778489 ideals in 2000000 cliques
  250. Tue Jun 16 01:15:39 2026 commencing in-memory singleton removal
  251. Tue Jun 16 01:15:43 2026 begin with 152078671 relations and 147995236 unique ideals
  252. Tue Jun 16 01:16:17 2026 reduce to 151673444 relations and 140807179 ideals in 10 passes
  253. Tue Jun 16 01:16:17 2026 max relations containing the same ideal: 140
  254. Tue Jun 16 01:17:57 2026 removing 8802679 relations and 6802679 ideals in 2000000 cliques
  255. Tue Jun 16 01:18:01 2026 commencing in-memory singleton removal
  256. Tue Jun 16 01:18:05 2026 begin with 142870765 relations and 140807179 unique ideals
  257. Tue Jun 16 01:18:29 2026 reduce to 142438864 relations and 133567628 ideals in 8 passes
  258. Tue Jun 16 01:18:29 2026 max relations containing the same ideal: 137
  259. Tue Jun 16 01:20:05 2026 removing 8845742 relations and 6845742 ideals in 2000000 cliques
  260. Tue Jun 16 01:20:10 2026 commencing in-memory singleton removal
  261. Tue Jun 16 01:20:13 2026 begin with 133593122 relations and 133567628 unique ideals
  262. Tue Jun 16 01:20:36 2026 reduce to 133127650 relations and 126250881 ideals in 8 passes
  263. Tue Jun 16 01:20:36 2026 max relations containing the same ideal: 131
  264. Tue Jun 16 01:22:01 2026 removing 8912318 relations and 6912318 ideals in 2000000 cliques
  265. Tue Jun 16 01:22:05 2026 commencing in-memory singleton removal
  266. Tue Jun 16 01:22:08 2026 begin with 124215332 relations and 126250881 unique ideals
  267. Tue Jun 16 01:22:31 2026 reduce to 123707877 relations and 118824512 ideals in 8 passes
  268. Tue Jun 16 01:22:31 2026 max relations containing the same ideal: 122
  269. Tue Jun 16 01:23:52 2026 removing 9009710 relations and 7009710 ideals in 2000000 cliques
  270. Tue Jun 16 01:23:56 2026 commencing in-memory singleton removal
  271. Tue Jun 16 01:23:59 2026 begin with 114698167 relations and 118824512 unique ideals
  272. Tue Jun 16 01:24:21 2026 reduce to 114136705 relations and 111245603 ideals in 9 passes
  273. Tue Jun 16 01:24:21 2026 max relations containing the same ideal: 115
  274. Tue Jun 16 01:25:42 2026 removing 5952218 relations and 4781574 ideals in 1170644 cliques
  275. Tue Jun 16 01:25:45 2026 commencing in-memory singleton removal
  276. Tue Jun 16 01:25:47 2026 begin with 108184487 relations and 111245603 unique ideals
  277. Tue Jun 16 01:26:06 2026 reduce to 107933601 relations and 106210958 ideals in 8 passes
  278. Tue Jun 16 01:26:06 2026 max relations containing the same ideal: 112
  279. Tue Jun 16 01:27:23 2026 trying target density 80
  280. Tue Jun 16 01:27:36 2026 relations with 0 large ideals: 5348
  281. Tue Jun 16 01:27:36 2026 relations with 1 large ideals: 16026
  282. Tue Jun 16 01:27:36 2026 relations with 2 large ideals: 262042
  283. Tue Jun 16 01:27:36 2026 relations with 3 large ideals: 1935583
  284. Tue Jun 16 01:27:36 2026 relations with 4 large ideals: 7802292
  285. Tue Jun 16 01:27:36 2026 relations with 5 large ideals: 18863194
  286. Tue Jun 16 01:27:36 2026 relations with 6 large ideals: 28611605
  287. Tue Jun 16 01:27:36 2026 relations with 7+ large ideals: 50437511
  288. Tue Jun 16 01:27:36 2026 commencing 2-way merge
  289. Tue Jun 16 01:29:20 2026 reduce to 66474674 relation sets and 64752031 unique ideals
  290. Tue Jun 16 01:29:20 2026 commencing full merge
  291. Tue Jun 16 01:57:54 2026 memory use: 7458.1 MB
  292. Tue Jun 16 01:58:10 2026 found 34432510 cycles, need 34196231
  293. Tue Jun 16 01:58:26 2026 weight of 34196231 cycles is about 2735733009 (80.00/cycle)
  294. Tue Jun 16 01:58:26 2026 distribution of cycle lengths:
  295. Tue Jun 16 01:58:26 2026 1 relations: 4381476
  296. Tue Jun 16 01:58:26 2026 2 relations: 3913738
  297. Tue Jun 16 01:58:26 2026 3 relations: 3879917
  298. Tue Jun 16 01:58:26 2026 4 relations: 3588243
  299. Tue Jun 16 01:58:26 2026 5 relations: 3342697
  300. Tue Jun 16 01:58:26 2026 6 relations: 2982256
  301. Tue Jun 16 01:58:26 2026 7 relations: 2672172
  302. Tue Jun 16 01:58:26 2026 8 relations: 2295122
  303. Tue Jun 16 01:58:26 2026 9 relations: 1892761
  304. Tue Jun 16 01:58:26 2026 10+ relations: 5247849
  305. Tue Jun 16 01:58:26 2026 heaviest cycle: 20 relations
  306. Tue Jun 16 01:58:43 2026 commencing cycle optimization
  307. Tue Jun 16 02:00:19 2026 start with 189597135 relations
  308. Tue Jun 16 02:06:58 2026 pruned 4387164 relations
  309. Tue Jun 16 02:07:04 2026 memory use: 6355.9 MB
  310. Tue Jun 16 02:07:05 2026 distribution of cycle lengths:
  311. Tue Jun 16 02:07:05 2026 1 relations: 4381476
  312. Tue Jun 16 02:07:05 2026 2 relations: 4000984
  313. Tue Jun 16 02:07:05 2026 3 relations: 4010544
  314. Tue Jun 16 02:07:05 2026 4 relations: 3672662
  315. Tue Jun 16 02:07:05 2026 5 relations: 3421606
  316. Tue Jun 16 02:07:05 2026 6 relations: 3031540
  317. Tue Jun 16 02:07:05 2026 7 relations: 2705527
  318. Tue Jun 16 02:07:05 2026 8 relations: 2296558
  319. Tue Jun 16 02:07:05 2026 9 relations: 1875424
  320. Tue Jun 16 02:07:05 2026 10+ relations: 4799910
  321. Tue Jun 16 02:07:05 2026 heaviest cycle: 20 relations
  322. Tue Jun 16 02:08:51 2026 trying target density 100
  323. Tue Jun 16 02:09:05 2026 relations with 0 large ideals: 5348
  324. Tue Jun 16 02:09:05 2026 relations with 1 large ideals: 16026
  325. Tue Jun 16 02:09:05 2026 relations with 2 large ideals: 262042
  326. Tue Jun 16 02:09:05 2026 relations with 3 large ideals: 1935583
  327. Tue Jun 16 02:09:05 2026 relations with 4 large ideals: 7802292
  328. Tue Jun 16 02:09:05 2026 relations with 5 large ideals: 18863194
  329. Tue Jun 16 02:09:05 2026 relations with 6 large ideals: 28611605
  330. Tue Jun 16 02:09:05 2026 relations with 7+ large ideals: 50437511
  331. Tue Jun 16 02:09:05 2026 commencing 2-way merge
  332. Tue Jun 16 02:10:35 2026 reduce to 66474674 relation sets and 64752031 unique ideals
  333. Tue Jun 16 02:10:35 2026 commencing full merge
  334. Tue Jun 16 02:44:51 2026 memory use: 7669.4 MB
  335. Tue Jun 16 02:45:10 2026 found 31668716 cycles, need 31460231
  336. Tue Jun 16 02:45:25 2026 weight of 31460231 cycles is about 3146066993 (100.00/cycle)
  337. Tue Jun 16 02:45:25 2026 distribution of cycle lengths:
  338. Tue Jun 16 02:45:25 2026 1 relations: 3119259
  339. Tue Jun 16 02:45:25 2026 2 relations: 2877840
  340. Tue Jun 16 02:45:25 2026 3 relations: 2893587
  341. Tue Jun 16 02:45:25 2026 4 relations: 2711289
  342. Tue Jun 16 02:45:25 2026 5 relations: 2623520
  343. Tue Jun 16 02:45:25 2026 6 relations: 2490732
  344. Tue Jun 16 02:45:25 2026 7 relations: 2306510
  345. Tue Jun 16 02:45:25 2026 8 relations: 2094693
  346. Tue Jun 16 02:45:25 2026 9 relations: 1901132
  347. Tue Jun 16 02:45:25 2026 10+ relations: 8441669
  348. Tue Jun 16 02:45:25 2026 heaviest cycle: 25 relations
  349. Tue Jun 16 02:45:35 2026 commencing cycle optimization
  350. Tue Jun 16 02:47:16 2026 start with 217433478 relations
  351. Tue Jun 16 02:57:02 2026 pruned 6657669 relations
  352. Tue Jun 16 02:57:08 2026 memory use: 6650.0 MB
  353. Tue Jun 16 02:57:08 2026 distribution of cycle lengths:
  354. Tue Jun 16 02:57:08 2026 1 relations: 3119259
  355. Tue Jun 16 02:57:08 2026 2 relations: 2947823
  356. Tue Jun 16 02:57:08 2026 3 relations: 3000991
  357. Tue Jun 16 02:57:08 2026 4 relations: 2794675
  358. Tue Jun 16 02:57:08 2026 5 relations: 2713769
  359. Tue Jun 16 02:57:08 2026 6 relations: 2555082
  360. Tue Jun 16 02:57:08 2026 7 relations: 2367610
  361. Tue Jun 16 02:57:08 2026 8 relations: 2139660
  362. Tue Jun 16 02:57:08 2026 9 relations: 1930190
  363. Tue Jun 16 02:57:08 2026 10+ relations: 7891172
  364. Tue Jun 16 02:57:08 2026 heaviest cycle: 25 relations
  365. Tue Jun 16 02:58:50 2026 trying target density 120
  366. Tue Jun 16 02:59:02 2026 relations with 0 large ideals: 5348
  367. Tue Jun 16 02:59:02 2026 relations with 1 large ideals: 16026
  368. Tue Jun 16 02:59:02 2026 relations with 2 large ideals: 262042
  369. Tue Jun 16 02:59:02 2026 relations with 3 large ideals: 1935583
  370. Tue Jun 16 02:59:02 2026 relations with 4 large ideals: 7802292
  371. Tue Jun 16 02:59:02 2026 relations with 5 large ideals: 18863194
  372. Tue Jun 16 02:59:02 2026 relations with 6 large ideals: 28611605
  373. Tue Jun 16 02:59:02 2026 relations with 7+ large ideals: 50437511
  374. Tue Jun 16 02:59:02 2026 commencing 2-way merge
  375. Tue Jun 16 03:00:31 2026 reduce to 66474674 relation sets and 64752031 unique ideals
  376. Tue Jun 16 03:00:31 2026 commencing full merge
  377. Tue Jun 16 03:40:56 2026 memory use: 7828.4 MB
  378. Tue Jun 16 03:41:10 2026 found 29643468 cycles, need 29558231
  379. Tue Jun 16 03:41:23 2026 weight of 29558231 cycles is about 3547687040 (120.02/cycle)
  380. Tue Jun 16 03:41:23 2026 distribution of cycle lengths:
  381. Tue Jun 16 03:41:23 2026 1 relations: 2291429
  382. Tue Jun 16 03:41:23 2026 2 relations: 2248610
  383. Tue Jun 16 03:41:23 2026 3 relations: 2286737
  384. Tue Jun 16 03:41:23 2026 4 relations: 2194693
  385. Tue Jun 16 03:41:23 2026 5 relations: 2140442
  386. Tue Jun 16 03:41:23 2026 6 relations: 2072469
  387. Tue Jun 16 03:41:23 2026 7 relations: 1956743
  388. Tue Jun 16 03:41:23 2026 8 relations: 1868587
  389. Tue Jun 16 03:41:23 2026 9 relations: 1740002
  390. Tue Jun 16 03:41:23 2026 10+ relations: 10758519
  391. Tue Jun 16 03:41:24 2026 heaviest cycle: 28 relations
  392. Tue Jun 16 03:41:33 2026 commencing cycle optimization
  393. Tue Jun 16 03:43:19 2026 start with 244320939 relations
  394. Tue Jun 16 03:57:01 2026 pruned 9074247 relations
  395. Tue Jun 16 03:57:01 2026 memory use: 6927.9 MB
  396. Tue Jun 16 03:57:01 2026 distribution of cycle lengths:
  397. Tue Jun 16 03:57:01 2026 1 relations: 2291429
  398. Tue Jun 16 03:57:01 2026 2 relations: 2305026
  399. Tue Jun 16 03:57:01 2026 3 relations: 2376464
  400. Tue Jun 16 03:57:01 2026 4 relations: 2270679
  401. Tue Jun 16 03:57:01 2026 5 relations: 2225638
  402. Tue Jun 16 03:57:01 2026 6 relations: 2142631
  403. Tue Jun 16 03:57:01 2026 7 relations: 2030345
  404. Tue Jun 16 03:57:01 2026 8 relations: 1927129
  405. Tue Jun 16 03:57:01 2026 9 relations: 1791684
  406. Tue Jun 16 03:57:01 2026 10+ relations: 10197206
  407. Tue Jun 16 03:57:01 2026 heaviest cycle: 28 relations
  408. Tue Jun 16 03:58:34 2026 RelProcTime: 21672
  409. Tue Jun 16 03:58:49 2026
  410. Tue Jun 16 03:58:49 2026 commencing linear algebra
  411. Tue Jun 16 03:58:49 2026 using VBITS=64
  412. Tue Jun 16 03:58:49 2026 building matrices for all densities
  413. Tue Jun 16 03:58:49 2026 found 3 density files
  414. Tue Jun 16 03:58:49 2026 building matrix for density 80
  415. Tue Jun 16 03:58:52 2026 read 34196231 cycles
  416. Tue Jun 16 03:59:58 2026 cycles contain 106725038 unique relations
  417. Tue Jun 16 04:07:23 2026 read 106725038 relations
  418. Tue Jun 16 04:08:20 2026 using 20 quadratic characters above 4294917295
  419. Tue Jun 16 04:09:20 2026 building initial matrix
  420. Tue Jun 16 04:35:41 2026 memory use: 14846.6 MB
  421. Tue Jun 16 04:35:56 2026 read 34196231 cycles
  422. Tue Jun 16 04:36:00 2026 matrix is 34196053 x 34196231 (11674.3 MB) with weight 3600807159 (105.30/col)
  423. Tue Jun 16 04:36:00 2026 sparse part has weight 2649992704 (77.49/col)
  424. Tue Jun 16 04:42:37 2026 filtering completed in 2 passes
  425. Tue Jun 16 04:42:45 2026 matrix is 34182901 x 34183078 (11673.3 MB) with weight 3600355262 (105.33/col)
  426. Tue Jun 16 04:42:45 2026 sparse part has weight 2649900669 (77.52/col)
  427. Tue Jun 16 04:44:26 2026 building matrix for density 100
  428. Tue Jun 16 04:44:30 2026 read 31460231 cycles
  429. Tue Jun 16 04:45:36 2026 cycles contain 106767450 unique relations
  430. Tue Jun 16 04:52:22 2026 read 106767450 relations
  431. Tue Jun 16 04:53:23 2026 using 20 quadratic characters above 4294917295
  432. Tue Jun 16 04:54:24 2026 building initial matrix
  433. Tue Jun 16 05:21:53 2026 memory use: 14865.5 MB
  434. Tue Jun 16 05:22:09 2026 read 31460231 cycles
  435. Tue Jun 16 05:22:14 2026 matrix is 31460053 x 31460231 (12889.1 MB) with weight 3936928696 (125.14/col)
  436. Tue Jun 16 05:22:14 2026 sparse part has weight 3001265280 (95.40/col)
  437. Tue Jun 16 05:28:41 2026 filtering completed in 2 passes
  438. Tue Jun 16 05:28:52 2026 matrix is 31454527 x 31454705 (12888.6 MB) with weight 3936704103 (125.15/col)
  439. Tue Jun 16 05:28:52 2026 sparse part has weight 3001210317 (95.41/col)
  440. Tue Jun 16 05:30:43 2026 building matrix for density 120
  441. Tue Jun 16 05:30:47 2026 read 29558231 cycles
  442. Tue Jun 16 05:32:00 2026 cycles contain 106774559 unique relations
  443. Tue Jun 16 05:38:43 2026 read 106774559 relations
  444. Tue Jun 16 05:39:49 2026 using 20 quadratic characters above 4294917295
  445. Tue Jun 16 05:40:51 2026 building initial matrix
  446. Tue Jun 16 06:20:00 2026 memory use: 14901.7 MB
  447. Tue Jun 16 06:21:35 2026 read 29558231 cycles
  448. Tue Jun 16 06:21:40 2026 matrix is 29558054 x 29558231 (14089.6 MB) with weight 4265897578 (144.32/col)
  449. Tue Jun 16 06:21:40 2026 sparse part has weight 3338799224 (112.96/col)
  450. Tue Jun 16 06:29:26 2026 filtering completed in 2 passes
  451. Tue Jun 16 06:29:39 2026 matrix is 29556647 x 29556824 (14089.4 MB) with weight 4265833847 (144.33/col)
  452. Tue Jun 16 06:29:39 2026 sparse part has weight 3338782568 (112.96/col)
  453. Tue Jun 16 06:31:43 2026 BLanczosTime: 9174
  454. Tue Jun 16 06:31:43 2026 elapsed time 08:34:21
  455. Tue Jun 16 13:31:50 2026
  456. Tue Jun 16 13:31:50 2026
  457. Tue Jun 16 13:31:50 2026 Msieve v. 1.54 (SVN unknown)
  458. Tue Jun 16 13:31:50 2026 random seeds: 5b81e52c 90b57e0b
  459. Tue Jun 16 13:31:50 2026 Using 8 OpenMP threads
  460. Tue Jun 16 13:31:50 2026 factoring 20518425934404414747116645488611092495594569056777849447282532204413647400449552912419890800837103793528072467863904977723812819305391942766783493259681152969302396165645783858779338758915729 (191 digits)
  461. Tue Jun 16 13:31:51 2026 no P-1/P+1/ECM available, skipping
  462. Tue Jun 16 13:31:51 2026 commencing number field sieve (191-digit input)
  463. Tue Jun 16 13:31:51 2026 R0: -8934721896769377414975552548352784279
  464. Tue Jun 16 13:31:51 2026 R1: 226939422758817350568737
  465. Tue Jun 16 13:31:51 2026 A0: 872213818539299662184325201559989568000682568
  466. Tue Jun 16 13:31:51 2026 A1: -25384781967564471957943069469229413922
  467. Tue Jun 16 13:31:51 2026 A2: -1165529172836429412832917944891
  468. Tue Jun 16 13:31:51 2026 A3: 16858843041489443894487
  469. Tue Jun 16 13:31:51 2026 A4: 148112829648418
  470. Tue Jun 16 13:31:51 2026 A5: 720720
  471. Tue Jun 16 13:31:51 2026 skew 60638004.16, size 1.665e-18, alpha -7.464, combined = 2.439e-14 rroots = 3
  472. Tue Jun 16 13:31:51 2026
  473. Tue Jun 16 13:31:51 2026 commencing linear algebra
  474. Tue Jun 16 13:31:51 2026 using VBITS=256
  475. Tue Jun 16 13:31:51 2026 skipping matrix build
  476. Tue Jun 16 13:32:08 2026 matrix starts at (0, 0)
  477. Tue Jun 16 13:32:17 2026 matrix is 31454527 x 31454705 (12888.6 MB) with weight 3936704103 (125.15/col)
  478. Tue Jun 16 13:32:17 2026 sparse part has weight 3001210317 (95.41/col)
  479. Tue Jun 16 13:32:17 2026 saving the first 240 matrix rows for later
  480. Tue Jun 16 13:32:39 2026 matrix includes 256 packed rows
  481. Tue Jun 16 13:32:52 2026 matrix is 31454287 x 31454705 (11828.3 MB) with weight 2752247473 (87.50/col)
  482. Tue Jun 16 13:32:52 2026 sparse part has weight 2597449438 (82.58/col)
  483. Tue Jun 16 13:32:52 2026 using GPU 0 (Tesla V100-SXM2-32GB)
  484. Tue Jun 16 13:32:52 2026 selected card has CUDA arch 7.0
  485. Tue Jun 16 13:32:53 2026 nonzeros per matrix block: 256000000
  486. Tue Jun 16 13:40:49 2026 commencing Lanczos iteration
  487. Tue Jun 16 13:40:53 2026 memory use: 30136.1 MB
  488. Tue Jun 16 13:43:48 2026 linear algebra at 0.1%, ETA 49h 1m
  489. Tue Jun 16 13:48:07 2026 checking every 10000 dimensions, checkpointing every 650000 dimensions
  490. Tue Jun 16 18:44:30 2026
  491. Tue Jun 16 18:44:30 2026
  492. Tue Jun 16 18:44:30 2026 Msieve v. 1.54 (SVN unknown)
  493. Tue Jun 16 18:44:30 2026 random seeds: 3d759766 e98b89b9
  494. Tue Jun 16 18:44:30 2026 Using 8 OpenMP threads
  495. Tue Jun 16 18:44:30 2026 factoring 20518425934404414747116645488611092495594569056777849447282532204413647400449552912419890800837103793528072467863904977723812819305391942766783493259681152969302396165645783858779338758915729 (191 digits)
  496. Tue Jun 16 18:44:31 2026 no P-1/P+1/ECM available, skipping
  497. Tue Jun 16 18:44:31 2026 commencing number field sieve (191-digit input)
  498. Tue Jun 16 18:44:31 2026 R0: -8934721896769377414975552548352784279
  499. Tue Jun 16 18:44:31 2026 R1: 226939422758817350568737
  500. Tue Jun 16 18:44:31 2026 A0: 872213818539299662184325201559989568000682568
  501. Tue Jun 16 18:44:31 2026 A1: -25384781967564471957943069469229413922
  502. Tue Jun 16 18:44:31 2026 A2: -1165529172836429412832917944891
  503. Tue Jun 16 18:44:31 2026 A3: 16858843041489443894487
  504. Tue Jun 16 18:44:31 2026 A4: 148112829648418
  505. Tue Jun 16 18:44:31 2026 A5: 720720
  506. Tue Jun 16 18:44:31 2026 skew 60638004.16, size 1.665e-18, alpha -7.464, combined = 2.439e-14 rroots = 3
  507. Tue Jun 16 18:44:31 2026
  508. Tue Jun 16 18:44:31 2026 commencing linear algebra
  509. Tue Jun 16 18:44:31 2026 using VBITS=256
  510. Tue Jun 16 18:44:47 2026 matrix starts at (0, 0)
  511. Tue Jun 16 18:44:54 2026 matrix is 31454527 x 31454705 (12888.6 MB) with weight 3936704103 (125.15/col)
  512. Tue Jun 16 18:44:54 2026 sparse part has weight 3001210317 (95.41/col)
  513. Tue Jun 16 18:44:54 2026 saving the first 240 matrix rows for later
  514. Tue Jun 16 18:45:06 2026 matrix includes 256 packed rows
  515. Tue Jun 16 18:45:18 2026 matrix is 31454287 x 31454705 (11828.3 MB) with weight 2752247473 (87.50/col)
  516. Tue Jun 16 18:45:18 2026 sparse part has weight 2597449438 (82.58/col)
  517. Tue Jun 16 18:45:18 2026 using GPU 0 (Tesla V100-SXM2-32GB)
  518. Tue Jun 16 18:45:18 2026 selected card has CUDA arch 7.0
  519. Tue Jun 16 18:45:19 2026 nonzeros per matrix block: 256000000
  520. Tue Jun 16 18:53:18 2026 commencing Lanczos iteration
  521. Tue Jun 16 18:53:23 2026 memory use: 30136.1 MB
  522. Tue Jun 16 18:53:35 2026 restarting at iteration 5094 (dim = 1300148)
  523. Tue Jun 16 18:54:08 2026 checking every 10000 dimensions, checkpointing every 620000 dimensions
  524. Tue Jun 16 18:56:28 2026 linear algebra at 4.2%, ETA 47h17m
  525. Thu Jun 18 17:48:44 2026 lanczos halted after 123239 iterations (dim = 31454287)
  526. Thu Jun 18 17:51:21 2026 recovered 31 nontrivial dependencies
  527. Thu Jun 18 17:51:22 2026 BLanczosTime: 169611
  528. Thu Jun 18 17:51:22 2026 elapsed time 47:06:52
  529. Thu Jun 18 13:54:04 2026
  530. Thu Jun 18 13:54:04 2026
  531. Thu Jun 18 13:54:04 2026 Msieve v. 1.54 (SVN unknown)
  532. Thu Jun 18 13:54:04 2026 random seeds: 23d53300 a69cef7c
  533. Thu Jun 18 13:54:04 2026 Using 8 OpenMP threads
  534. Thu Jun 18 13:54:04 2026 factoring 20518425934404414747116645488611092495594569056777849447282532204413647400449552912419890800837103793528072467863904977723812819305391942766783493259681152969302396165645783858779338758915729 (191 digits)
  535. Thu Jun 18 13:54:05 2026 no P-1/P+1/ECM available, skipping
  536. Thu Jun 18 13:54:05 2026 commencing number field sieve (191-digit input)
  537. Thu Jun 18 13:54:05 2026 R0: -8934721896769377414975552548352784279
  538. Thu Jun 18 13:54:05 2026 R1: 226939422758817350568737
  539. Thu Jun 18 13:54:05 2026 A0: 872213818539299662184325201559989568000682568
  540. Thu Jun 18 13:54:05 2026 A1: -25384781967564471957943069469229413922
  541. Thu Jun 18 13:54:05 2026 A2: -1165529172836429412832917944891
  542. Thu Jun 18 13:54:05 2026 A3: 16858843041489443894487
  543. Thu Jun 18 13:54:05 2026 A4: 148112829648418
  544. Thu Jun 18 13:54:05 2026 A5: 720720
  545. Thu Jun 18 13:54:05 2026 skew 60638004.16, size 1.665e-18, alpha -7.464, combined = 2.439e-14 rroots = 3
  546. Thu Jun 18 13:54:05 2026
  547. Thu Jun 18 13:54:05 2026 commencing square root phase
  548. Thu Jun 18 13:54:05 2026 reading relations for dependency 1
  549. Thu Jun 18 13:54:16 2026 read 15732531 cycles
  550. Thu Jun 18 13:54:52 2026 cycles contain 53393848 unique relations
  551. Thu Jun 18 14:11:15 2026 read 53393848 relations
  552. Thu Jun 18 14:17:18 2026 multiplying 53393848 relations
  553. Thu Jun 18 14:28:25 2026 multiply complete, coefficients have about 3196.76 million bits
  554. Thu Jun 18 14:28:37 2026 initial square root is modulo 14786927
  555. Thu Jun 18 14:53:08 2026 sqrtTime: 3543
  556. Thu Jun 18 14:53:08 2026 p81 factor: 106071940802792789314998816015770344088077492131769081339513727576547387155215241
  557. Thu Jun 18 14:53:08 2026 p111 factor: 193438771640390132397510237060496179835163894729139769908893000416146920558079766341565142632217747777561940169
  558. Thu Jun 18 14:53:08 2026 elapsed time 00:59:04
  559.  
Tags: math
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