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Msieve log of 348__507_5m1

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Dec 16th, 2025
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  1. Mon Dec 15 03:56:23 2025 Msieve v. 1.54 (SVN Unversioned directory)
  2. Mon Dec 15 03:56:23 2025 random seeds: c7bd505b 01e538bd
  3. Mon Dec 15 03:56:23 2025 factoring 1341497131781480609018130609421195756017902077318707309741061303926018554174952682491070489543043030384976227789489163374405867253313513491718863359163805975244864841211612356443292298846503763528997443144893934891 (214 digits)
  4. Mon Dec 15 03:56:24 2025 no P-1/P+1/ECM available, skipping
  5. Mon Dec 15 03:56:24 2025 commencing number field sieve (214-digit input)
  6. Mon Dec 15 03:56:24 2025 R0: 348534367432414043816562499951891328973011116546471507
  7. Mon Dec 15 03:56:24 2025 R1: -1
  8. Mon Dec 15 03:56:24 2025 A0: 1
  9. Mon Dec 15 03:56:24 2025 A1: 1
  10. Mon Dec 15 03:56:24 2025 A2: 1
  11. Mon Dec 15 03:56:24 2025 A3: 1
  12. Mon Dec 15 03:56:24 2025 A4: 1
  13. Mon Dec 15 03:56:24 2025 skew 1.94, size 7.836e-22, alpha 1.694, combined = 5.061e-13 rroots = 0
  14. Mon Dec 15 03:56:24 2025
  15. Mon Dec 15 03:56:24 2025 commencing relation filtering
  16. Mon Dec 15 03:56:24 2025 setting target matrix density to 120.0
  17. Mon Dec 15 03:56:24 2025 estimated available RAM is 85467.8 MB
  18. Mon Dec 15 03:56:24 2025 commencing duplicate removal, pass 1
  19. Mon Dec 15 03:59:21 2025 error -1 reading relation 18710724
  20. Mon Dec 15 04:03:37 2025 error -11 reading relation 46545402
  21. Mon Dec 15 04:04:29 2025 error -1 reading relation 52175956
  22. Mon Dec 15 04:07:19 2025 error -1 reading relation 70659914
  23. Mon Dec 15 04:45:15 2025 error -1 reading relation 325955702
  24. Mon Dec 15 04:45:20 2025 error -1 reading relation 326632965
  25. Mon Dec 15 04:45:21 2025 error -1 reading relation 326697036
  26. Mon Dec 15 04:45:42 2025 skipped 251 relations with b > 2^32
  27. Mon Dec 15 04:45:42 2025 skipped 315 malformed relations
  28. Mon Dec 15 04:45:42 2025 found 64366260 hash collisions in 329185071 relations
  29. Mon Dec 15 04:45:53 2025 added 3657741 free relations
  30. Mon Dec 15 04:45:53 2025 commencing duplicate removal, pass 2
  31. Mon Dec 15 04:53:06 2025 found 68560582 duplicates and 264282230 unique relations
  32. Mon Dec 15 04:53:06 2025 memory use: 1705.5 MB
  33. Mon Dec 15 04:53:06 2025 reading ideals above 720000
  34. Mon Dec 15 04:53:07 2025 commencing singleton removal, initial pass
  35. Mon Dec 15 05:34:04 2025 memory use: 6024.0 MB
  36. Mon Dec 15 05:34:04 2025 reading all ideals from disk
  37. Mon Dec 15 05:34:11 2025 memory use: 12191.4 MB
  38. Mon Dec 15 05:34:52 2025 keeping 222737561 ideals with weight <= 200, target excess is 1339768
  39. Mon Dec 15 05:35:33 2025 commencing in-memory singleton removal
  40. Mon Dec 15 05:36:40 2025 begin with 264282230 relations and 222737561 unique ideals
  41. Mon Dec 15 05:40:45 2025 reduce to 176917297 relations and 127508628 ideals in 14 passes
  42. Mon Dec 15 05:40:45 2025 max relations containing the same ideal: 166
  43. Mon Dec 15 05:42:45 2025 removing 9742833 relations and 7742833 ideals in 2000000 cliques
  44. Mon Dec 15 05:42:52 2025 commencing in-memory singleton removal
  45. Mon Dec 15 05:43:35 2025 begin with 167174464 relations and 127508628 unique ideals
  46. Mon Dec 15 05:45:28 2025 reduce to 166733539 relations and 119317746 ideals in 8 passes
  47. Mon Dec 15 05:45:28 2025 max relations containing the same ideal: 160
  48. Mon Dec 15 05:47:20 2025 removing 7447818 relations and 5447818 ideals in 2000000 cliques
  49. Mon Dec 15 05:47:25 2025 commencing in-memory singleton removal
  50. Mon Dec 15 05:48:06 2025 begin with 159285721 relations and 119317746 unique ideals
  51. Mon Dec 15 05:49:40 2025 reduce to 158996705 relations and 113576846 ideals in 7 passes
  52. Mon Dec 15 05:49:40 2025 max relations containing the same ideal: 156
  53. Mon Dec 15 05:51:26 2025 removing 6771143 relations and 4771143 ideals in 2000000 cliques
  54. Mon Dec 15 05:51:32 2025 commencing in-memory singleton removal
  55. Mon Dec 15 05:52:11 2025 begin with 152225562 relations and 113576846 unique ideals
  56. Mon Dec 15 05:53:41 2025 reduce to 151979260 relations and 108556278 ideals in 7 passes
  57. Mon Dec 15 05:53:41 2025 max relations containing the same ideal: 153
  58. Mon Dec 15 05:55:23 2025 removing 6413647 relations and 4413647 ideals in 2000000 cliques
  59. Mon Dec 15 05:55:28 2025 commencing in-memory singleton removal
  60. Mon Dec 15 05:56:05 2025 begin with 145565613 relations and 108556278 unique ideals
  61. Mon Dec 15 05:57:30 2025 reduce to 145341595 relations and 103915643 ideals in 7 passes
  62. Mon Dec 15 05:57:30 2025 max relations containing the same ideal: 148
  63. Mon Dec 15 05:59:08 2025 removing 6182854 relations and 4182854 ideals in 2000000 cliques
  64. Mon Dec 15 05:59:13 2025 commencing in-memory singleton removal
  65. Mon Dec 15 05:59:48 2025 begin with 139158741 relations and 103915643 unique ideals
  66. Mon Dec 15 06:00:57 2025 reduce to 138949776 relations and 99520967 ideals in 6 passes
  67. Mon Dec 15 06:00:57 2025 max relations containing the same ideal: 144
  68. Mon Dec 15 06:02:30 2025 removing 6017164 relations and 4017164 ideals in 2000000 cliques
  69. Mon Dec 15 06:02:35 2025 commencing in-memory singleton removal
  70. Mon Dec 15 06:03:09 2025 begin with 132932612 relations and 99520967 unique ideals
  71. Mon Dec 15 06:04:16 2025 reduce to 132730933 relations and 95299236 ideals in 6 passes
  72. Mon Dec 15 06:04:16 2025 max relations containing the same ideal: 139
  73. Mon Dec 15 06:05:45 2025 removing 5891116 relations and 3891116 ideals in 2000000 cliques
  74. Mon Dec 15 06:05:50 2025 commencing in-memory singleton removal
  75. Mon Dec 15 06:06:22 2025 begin with 126839817 relations and 95299236 unique ideals
  76. Mon Dec 15 06:07:14 2025 reduce to 126642086 relations and 91207415 ideals in 5 passes
  77. Mon Dec 15 06:07:14 2025 max relations containing the same ideal: 136
  78. Mon Dec 15 06:08:40 2025 removing 5795753 relations and 3795753 ideals in 2000000 cliques
  79. Mon Dec 15 06:08:45 2025 commencing in-memory singleton removal
  80. Mon Dec 15 06:09:15 2025 begin with 120846333 relations and 91207415 unique ideals
  81. Mon Dec 15 06:10:14 2025 reduce to 120650875 relations and 87213190 ideals in 6 passes
  82. Mon Dec 15 06:10:14 2025 max relations containing the same ideal: 134
  83. Mon Dec 15 06:11:36 2025 removing 5714764 relations and 3714764 ideals in 2000000 cliques
  84. Mon Dec 15 06:11:40 2025 commencing in-memory singleton removal
  85. Mon Dec 15 06:12:09 2025 begin with 114936111 relations and 87213190 unique ideals
  86. Mon Dec 15 06:13:05 2025 reduce to 114740617 relations and 83299804 ideals in 6 passes
  87. Mon Dec 15 06:13:05 2025 max relations containing the same ideal: 127
  88. Mon Dec 15 06:14:22 2025 removing 5655267 relations and 3655267 ideals in 2000000 cliques
  89. Mon Dec 15 06:14:26 2025 commencing in-memory singleton removal
  90. Mon Dec 15 06:14:53 2025 begin with 109085350 relations and 83299804 unique ideals
  91. Mon Dec 15 06:15:46 2025 reduce to 108887534 relations and 79443452 ideals in 6 passes
  92. Mon Dec 15 06:15:46 2025 max relations containing the same ideal: 124
  93. Mon Dec 15 06:16:59 2025 removing 5607626 relations and 3607626 ideals in 2000000 cliques
  94. Mon Dec 15 06:17:03 2025 commencing in-memory singleton removal
  95. Mon Dec 15 06:17:28 2025 begin with 103279908 relations and 79443452 unique ideals
  96. Mon Dec 15 06:18:18 2025 reduce to 103078136 relations and 75630455 ideals in 6 passes
  97. Mon Dec 15 06:18:18 2025 max relations containing the same ideal: 122
  98. Mon Dec 15 06:19:27 2025 removing 5566803 relations and 3566803 ideals in 2000000 cliques
  99. Mon Dec 15 06:19:31 2025 commencing in-memory singleton removal
  100. Mon Dec 15 06:19:55 2025 begin with 97511333 relations and 75630455 unique ideals
  101. Mon Dec 15 06:20:43 2025 reduce to 97302713 relations and 71851080 ideals in 6 passes
  102. Mon Dec 15 06:20:43 2025 max relations containing the same ideal: 118
  103. Mon Dec 15 06:21:49 2025 removing 5541352 relations and 3541352 ideals in 2000000 cliques
  104. Mon Dec 15 06:21:52 2025 commencing in-memory singleton removal
  105. Mon Dec 15 06:22:15 2025 begin with 91761361 relations and 71851080 unique ideals
  106. Mon Dec 15 06:22:59 2025 reduce to 91545428 relations and 68089599 ideals in 6 passes
  107. Mon Dec 15 06:22:59 2025 max relations containing the same ideal: 114
  108. Mon Dec 15 06:24:01 2025 removing 5523635 relations and 3523635 ideals in 2000000 cliques
  109. Mon Dec 15 06:24:05 2025 commencing in-memory singleton removal
  110. Mon Dec 15 06:24:25 2025 begin with 86021793 relations and 68089599 unique ideals
  111. Mon Dec 15 06:25:13 2025 reduce to 85794496 relations and 64333896 ideals in 7 passes
  112. Mon Dec 15 06:25:13 2025 max relations containing the same ideal: 106
  113. Mon Dec 15 06:26:12 2025 removing 5514480 relations and 3514480 ideals in 2000000 cliques
  114. Mon Dec 15 06:26:15 2025 commencing in-memory singleton removal
  115. Mon Dec 15 06:26:35 2025 begin with 80280016 relations and 64333896 unique ideals
  116. Mon Dec 15 06:27:12 2025 reduce to 80039151 relations and 60573249 ideals in 6 passes
  117. Mon Dec 15 06:27:12 2025 max relations containing the same ideal: 103
  118. Mon Dec 15 06:28:06 2025 removing 5514169 relations and 3514169 ideals in 2000000 cliques
  119. Mon Dec 15 06:28:10 2025 commencing in-memory singleton removal
  120. Mon Dec 15 06:28:27 2025 begin with 74524982 relations and 60573249 unique ideals
  121. Mon Dec 15 06:29:02 2025 reduce to 74267777 relations and 56795824 ideals in 6 passes
  122. Mon Dec 15 06:29:02 2025 max relations containing the same ideal: 99
  123. Mon Dec 15 06:29:52 2025 removing 5530316 relations and 3530316 ideals in 2000000 cliques
  124. Mon Dec 15 06:29:55 2025 commencing in-memory singleton removal
  125. Mon Dec 15 06:30:11 2025 begin with 68737461 relations and 56795824 unique ideals
  126. Mon Dec 15 06:30:42 2025 reduce to 68458102 relations and 52979170 ideals in 6 passes
  127. Mon Dec 15 06:30:42 2025 max relations containing the same ideal: 92
  128. Mon Dec 15 06:31:28 2025 removing 5551953 relations and 3551953 ideals in 2000000 cliques
  129. Mon Dec 15 06:31:31 2025 commencing in-memory singleton removal
  130. Mon Dec 15 06:31:46 2025 begin with 62906149 relations and 52979170 unique ideals
  131. Mon Dec 15 06:32:18 2025 reduce to 62600538 relations and 49113662 ideals in 7 passes
  132. Mon Dec 15 06:32:18 2025 max relations containing the same ideal: 88
  133. Mon Dec 15 06:33:00 2025 removing 5590431 relations and 3590431 ideals in 2000000 cliques
  134. Mon Dec 15 06:33:03 2025 commencing in-memory singleton removal
  135. Mon Dec 15 06:33:16 2025 begin with 57010107 relations and 49113662 unique ideals
  136. Mon Dec 15 06:33:41 2025 reduce to 56668660 relations and 45171870 ideals in 6 passes
  137. Mon Dec 15 06:33:41 2025 max relations containing the same ideal: 79
  138. Mon Dec 15 06:34:19 2025 removing 5646711 relations and 3646711 ideals in 2000000 cliques
  139. Mon Dec 15 06:34:22 2025 commencing in-memory singleton removal
  140. Mon Dec 15 06:34:33 2025 begin with 51021949 relations and 45171870 unique ideals
  141. Mon Dec 15 06:34:55 2025 reduce to 50634469 relations and 41125635 ideals in 6 passes
  142. Mon Dec 15 06:34:55 2025 max relations containing the same ideal: 73
  143. Mon Dec 15 06:35:29 2025 removing 5720986 relations and 3720986 ideals in 2000000 cliques
  144. Mon Dec 15 06:35:32 2025 commencing in-memory singleton removal
  145. Mon Dec 15 06:35:42 2025 begin with 44913483 relations and 41125635 unique ideals
  146. Mon Dec 15 06:36:06 2025 reduce to 44463508 relations and 36939231 ideals in 8 passes
  147. Mon Dec 15 06:36:06 2025 max relations containing the same ideal: 69
  148. Mon Dec 15 06:36:36 2025 removing 5818620 relations and 3818620 ideals in 2000000 cliques
  149. Mon Dec 15 06:36:39 2025 commencing in-memory singleton removal
  150. Mon Dec 15 06:36:47 2025 begin with 38644888 relations and 36939231 unique ideals
  151. Mon Dec 15 06:37:07 2025 reduce to 38106977 relations and 32561821 ideals in 8 passes
  152. Mon Dec 15 06:37:07 2025 max relations containing the same ideal: 61
  153. Mon Dec 15 06:37:33 2025 removing 5948509 relations and 3948509 ideals in 2000000 cliques
  154. Mon Dec 15 06:37:35 2025 commencing in-memory singleton removal
  155. Mon Dec 15 06:37:42 2025 begin with 32158468 relations and 32561821 unique ideals
  156. Mon Dec 15 06:37:58 2025 reduce to 31493694 relations and 27918415 ideals in 8 passes
  157. Mon Dec 15 06:37:58 2025 max relations containing the same ideal: 55
  158. Mon Dec 15 06:38:19 2025 removing 6108390 relations and 4108390 ideals in 2000000 cliques
  159. Mon Dec 15 06:38:22 2025 commencing in-memory singleton removal
  160. Mon Dec 15 06:38:27 2025 begin with 25385304 relations and 27918415 unique ideals
  161. Mon Dec 15 06:38:41 2025 reduce to 24515593 relations and 22892080 ideals in 10 passes
  162. Mon Dec 15 06:38:41 2025 max relations containing the same ideal: 47
  163. Mon Dec 15 06:38:58 2025 removing 419824 relations and 350442 ideals in 69382 cliques
  164. Mon Dec 15 06:38:59 2025 commencing in-memory singleton removal
  165. Mon Dec 15 06:39:04 2025 begin with 24095769 relations and 22892080 unique ideals
  166. Mon Dec 15 06:39:12 2025 reduce to 24090176 relations and 22536029 ideals in 6 passes
  167. Mon Dec 15 06:39:12 2025 max relations containing the same ideal: 46
  168. Mon Dec 15 06:39:16 2025 relations with 0 large ideals: 93641
  169. Mon Dec 15 06:39:16 2025 relations with 1 large ideals: 78714
  170. Mon Dec 15 06:39:16 2025 relations with 2 large ideals: 702590
  171. Mon Dec 15 06:39:16 2025 relations with 3 large ideals: 2745144
  172. Mon Dec 15 06:39:16 2025 relations with 4 large ideals: 5757963
  173. Mon Dec 15 06:39:16 2025 relations with 5 large ideals: 7401781
  174. Mon Dec 15 06:39:16 2025 relations with 6 large ideals: 4683868
  175. Mon Dec 15 06:39:16 2025 relations with 7+ large ideals: 2626475
  176. Mon Dec 15 06:39:16 2025 commencing 2-way merge
  177. Mon Dec 15 06:39:40 2025 reduce to 15555124 relation sets and 14000977 unique ideals
  178. Mon Dec 15 06:39:40 2025 commencing full merge
  179. Mon Dec 15 06:45:22 2025 memory use: 1658.8 MB
  180. Mon Dec 15 06:45:23 2025 found 6775528 cycles, need 6697177
  181. Mon Dec 15 06:45:26 2025 weight of 6697177 cycles is about 804429060 (120.11/cycle)
  182. Mon Dec 15 06:45:26 2025 distribution of cycle lengths:
  183. Mon Dec 15 06:45:26 2025 1 relations: 314557
  184. Mon Dec 15 06:45:26 2025 2 relations: 345977
  185. Mon Dec 15 06:45:26 2025 3 relations: 400526
  186. Mon Dec 15 06:45:26 2025 4 relations: 423265
  187. Mon Dec 15 06:45:26 2025 5 relations: 439569
  188. Mon Dec 15 06:45:26 2025 6 relations: 445891
  189. Mon Dec 15 06:45:26 2025 7 relations: 442988
  190. Mon Dec 15 06:45:26 2025 8 relations: 434352
  191. Mon Dec 15 06:45:26 2025 9 relations: 415642
  192. Mon Dec 15 06:45:26 2025 10+ relations: 3034410
  193. Mon Dec 15 06:45:26 2025 heaviest cycle: 28 relations
  194. Mon Dec 15 06:45:29 2025 commencing cycle optimization
  195. Mon Dec 15 06:45:44 2025 start with 64501814 relations
  196. Mon Dec 15 06:48:39 2025 pruned 3330250 relations
  197. Mon Dec 15 06:48:39 2025 memory use: 1635.0 MB
  198. Mon Dec 15 06:48:39 2025 distribution of cycle lengths:
  199. Mon Dec 15 06:48:39 2025 1 relations: 314557
  200. Mon Dec 15 06:48:39 2025 2 relations: 354020
  201. Mon Dec 15 06:48:39 2025 3 relations: 417664
  202. Mon Dec 15 06:48:39 2025 4 relations: 442350
  203. Mon Dec 15 06:48:39 2025 5 relations: 464608
  204. Mon Dec 15 06:48:39 2025 6 relations: 471253
  205. Mon Dec 15 06:48:39 2025 7 relations: 472537
  206. Mon Dec 15 06:48:39 2025 8 relations: 461133
  207. Mon Dec 15 06:48:39 2025 9 relations: 441921
  208. Mon Dec 15 06:48:39 2025 10+ relations: 2857134
  209. Mon Dec 15 06:48:39 2025 heaviest cycle: 28 relations
  210. Mon Dec 15 06:48:55 2025 RelProcTime: 10351
  211. Mon Dec 15 06:48:55 2025 elapsed time 02:52:32
  212. Mon Dec 15 06:48:55 2025
  213. Mon Dec 15 06:48:55 2025
  214. Mon Dec 15 06:48:55 2025 Msieve v. 1.54 (SVN Unversioned directory)
  215. Mon Dec 15 06:48:55 2025 random seeds: 3f69b0b2 713389c9
  216. Mon Dec 15 06:48:55 2025 factoring 1341497131781480609018130609421195756017902077318707309741061303926018554174952682491070489543043030384976227789489163374405867253313513491718863359163805975244864841211612356443292298846503763528997443144893934891 (214 digits)
  217. Mon Dec 15 06:48:56 2025 no P-1/P+1/ECM available, skipping
  218. Mon Dec 15 06:48:56 2025 commencing number field sieve (214-digit input)
  219. Mon Dec 15 06:48:56 2025 R0: 348534367432414043816562499951891328973011116546471507
  220. Mon Dec 15 06:48:56 2025 R1: -1
  221. Mon Dec 15 06:48:56 2025 A0: 1
  222. Mon Dec 15 06:48:56 2025 A1: 1
  223. Mon Dec 15 06:48:56 2025 A2: 1
  224. Mon Dec 15 06:48:56 2025 A3: 1
  225. Mon Dec 15 06:48:56 2025 A4: 1
  226. Mon Dec 15 06:48:56 2025 skew 1.94, size 7.836e-22, alpha 1.694, combined = 5.061e-13 rroots = 0
  227. Mon Dec 15 06:48:56 2025
  228. Mon Dec 15 06:48:56 2025 commencing linear algebra
  229. Mon Dec 15 06:48:56 2025 using VBITS=256
  230. Mon Dec 15 06:48:57 2025 read 6697177 cycles
  231. Mon Dec 15 06:49:16 2025 cycles contain 23250238 unique relations
  232. Mon Dec 15 06:56:26 2025 read 23250238 relations
  233. Mon Dec 15 06:57:13 2025 using 20 quadratic characters above 4294917295
  234. Mon Dec 15 06:59:31 2025 building initial matrix
  235. Mon Dec 15 07:04:48 2025 memory use: 2869.7 MB
  236. Mon Dec 15 07:04:52 2025 read 6697177 cycles
  237. Mon Dec 15 07:04:53 2025 matrix is 6697000 x 6697177 (3131.9 MB) with weight 897735684 (134.05/col)
  238. Mon Dec 15 07:04:53 2025 sparse part has weight 747341004 (111.59/col)
  239. Mon Dec 15 07:06:44 2025 filtering completed in 2 passes
  240. Mon Dec 15 07:06:45 2025 matrix is 6696534 x 6696693 (3131.8 MB) with weight 897713722 (134.05/col)
  241. Mon Dec 15 07:06:45 2025 sparse part has weight 747330260 (111.60/col)
  242. Mon Dec 15 07:07:28 2025 matrix starts at (0, 0)
  243. Mon Dec 15 07:07:29 2025 matrix is 6696534 x 6696693 (3131.8 MB) with weight 897713722 (134.05/col)
  244. Mon Dec 15 07:07:29 2025 sparse part has weight 747330260 (111.60/col)
  245. Mon Dec 15 07:07:29 2025 saving the first 240 matrix rows for later
  246. Mon Dec 15 07:07:31 2025 matrix includes 256 packed rows
  247. Mon Dec 15 07:07:33 2025 matrix is 6696294 x 6696693 (2859.1 MB) with weight 678840964 (101.37/col)
  248. Mon Dec 15 07:07:33 2025 sparse part has weight 642347007 (95.92/col)
  249. Mon Dec 15 07:07:33 2025 using GPU 0 (NVIDIA A100-SXM4-40GB)
  250. Mon Dec 15 07:07:33 2025 selected card has CUDA arch 8.0
  251. Mon Dec 15 07:08:30 2025 commencing Lanczos iteration
  252. Mon Dec 15 07:08:31 2025 memory use: 6586.8 MB
  253. Mon Dec 15 07:09:00 2025 linear algebra at 0.5%, ETA 1h45m
  254. Mon Dec 15 07:09:43 2025 checking every 60000 dimensions, checkpointing every 3900000 dimensions
  255. Mon Dec 15 08:52:41 2025 lanczos halted after 26237 iterations (dim = 6696292)
  256. Mon Dec 15 08:53:13 2025 recovered 36 nontrivial dependencies
  257. Mon Dec 15 08:53:14 2025 BLanczosTime: 7458
  258. Mon Dec 15 08:53:14 2025 elapsed time 02:04:19
  259. Mon Dec 15 08:53:14 2025
  260. Mon Dec 15 08:53:14 2025
  261. Mon Dec 15 08:53:14 2025 Msieve v. 1.54 (SVN Unversioned directory)
  262. Mon Dec 15 08:53:14 2025 random seeds: c8b71c05 c3c5684c
  263. Mon Dec 15 08:53:14 2025 factoring 1341497131781480609018130609421195756017902077318707309741061303926018554174952682491070489543043030384976227789489163374405867253313513491718863359163805975244864841211612356443292298846503763528997443144893934891 (214 digits)
  264. Mon Dec 15 08:53:15 2025 no P-1/P+1/ECM available, skipping
  265. Mon Dec 15 08:53:15 2025 commencing number field sieve (214-digit input)
  266. Mon Dec 15 08:53:15 2025 R0: 348534367432414043816562499951891328973011116546471507
  267. Mon Dec 15 08:53:15 2025 R1: -1
  268. Mon Dec 15 08:53:15 2025 A0: 1
  269. Mon Dec 15 08:53:15 2025 A1: 1
  270. Mon Dec 15 08:53:15 2025 A2: 1
  271. Mon Dec 15 08:53:15 2025 A3: 1
  272. Mon Dec 15 08:53:15 2025 A4: 1
  273. Mon Dec 15 08:53:15 2025 skew 1.94, size 7.836e-22, alpha 1.694, combined = 5.061e-13 rroots = 0
  274. Mon Dec 15 08:53:15 2025
  275. Mon Dec 15 08:53:15 2025 commencing square root phase
  276. Mon Dec 15 08:53:15 2025 reading relations for dependency 1
  277. Mon Dec 15 08:53:16 2025 read 3348673 cycles
  278. Mon Dec 15 08:53:24 2025 cycles contain 11624280 unique relations
  279. Mon Dec 15 08:59:35 2025 read 11624280 relations
  280. Mon Dec 15 09:00:34 2025 multiplying 11624280 relations
  281. Mon Dec 15 09:05:00 2025 multiply complete, coefficients have about 293.65 million bits
  282. Mon Dec 15 09:05:01 2025 initial square root is modulo 185797
  283. Mon Dec 15 09:09:37 2025 found factor: 195582696341796122907177959407019989908526862705503054022014854638426921074405706951
  284. Mon Dec 15 09:09:37 2025 reading relations for dependency 2
  285. Mon Dec 15 09:09:38 2025 read 3348594 cycles
  286. Mon Dec 15 09:09:46 2025 cycles contain 11627768 unique relations
  287. Mon Dec 15 09:15:57 2025 read 11627768 relations
  288. Mon Dec 15 09:16:55 2025 multiplying 11627768 relations
  289. Mon Dec 15 09:21:21 2025 multiply complete, coefficients have about 293.73 million bits
  290. Mon Dec 15 09:21:22 2025 initial square root is modulo 186437
  291. Mon Dec 15 09:25:59 2025 sqrtTime: 1964
  292. Mon Dec 15 09:25:59 2025 p62 factor: 57774837117121783108326230630383272176204921952871753144915031
  293. Mon Dec 15 09:25:59 2025 p69 factor: 118719098359071698291512333158516983338498457491384411223676150881611
  294. Mon Dec 15 09:25:59 2025 p84 factor: 195582696341796122907177959407019989908526862705503054022014854638426921074405706951
  295. Mon Dec 15 09:25:59 2025 elapsed time 00:32:45
  296.  
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