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Oct 20th, 2025
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  1. Sun Oct 19 19:53:47 2025
  2. Sun Oct 19 19:53:47 2025
  3. Sun Oct 19 19:53:47 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Oct 19 19:53:47 2025 random seeds: da2a80e7 4f262768
  5. Sun Oct 19 19:53:47 2025 factoring 1823661551712189779937333673585343082550097492584999494711625797028141770236196154809469171034588173238446399766858719731703649945042777689295978204652571408855365386384177254390431839738885947865605679518598341318883 (217 digits)
  6. Sun Oct 19 19:53:49 2025 searching for 15-digit factors
  7. Sun Oct 19 19:53:50 2025 commencing number field sieve (217-digit input)
  8. Sun Oct 19 19:53:50 2025 R0: 94962560811790273604447042914443660290
  9. Sun Oct 19 19:53:50 2025 R1: -9744873565715990017
  10. Sun Oct 19 19:53:50 2025 A0: -1
  11. Sun Oct 19 19:53:50 2025 A1: 3
  12. Sun Oct 19 19:53:50 2025 A2: 6
  13. Sun Oct 19 19:53:50 2025 A3: -4
  14. Sun Oct 19 19:53:50 2025 A4: -5
  15. Sun Oct 19 19:53:50 2025 A5: 1
  16. Sun Oct 19 19:53:50 2025 A6: 1
  17. Sun Oct 19 19:53:50 2025 skew 1.37, size 3.177e-11, alpha 3.126, combined = 1.455e-12 rroots = 6
  18. Sun Oct 19 19:53:50 2025
  19. Sun Oct 19 19:53:50 2025 commencing relation filtering
  20. Sun Oct 19 19:53:50 2025 setting target matrix density to 110.0
  21. Sun Oct 19 19:53:50 2025 estimated available RAM is 15938.6 MB
  22. Sun Oct 19 19:53:50 2025 commencing duplicate removal, pass 1
  23. Sun Oct 19 20:13:57 2025 skipped 2 relations with b > 2^32
  24. Sun Oct 19 20:13:57 2025 found 4324694 hash collisions in 99329508 relations
  25. Sun Oct 19 20:14:14 2025 added 2438358 free relations
  26. Sun Oct 19 20:14:14 2025 commencing duplicate removal, pass 2
  27. Sun Oct 19 20:15:13 2025 found 0 duplicates and 101767866 unique relations
  28. Sun Oct 19 20:15:13 2025 memory use: 261.2 MB
  29. Sun Oct 19 20:15:13 2025 reading ideals above 64028672
  30. Sun Oct 19 20:15:13 2025 commencing singleton removal, initial pass
  31. Sun Oct 19 20:33:11 2025 memory use: 2756.0 MB
  32. Sun Oct 19 20:33:12 2025 reading all ideals from disk
  33. Sun Oct 19 20:33:17 2025 memory use: 1856.2 MB
  34. Sun Oct 19 20:33:27 2025 commencing in-memory singleton removal
  35. Sun Oct 19 20:33:36 2025 begin with 101767866 relations and 84651649 unique ideals
  36. Sun Oct 19 20:35:07 2025 reduce to 68528949 relations and 48156733 ideals in 12 passes
  37. Sun Oct 19 20:35:07 2025 max relations containing the same ideal: 30
  38. Sun Oct 19 20:35:17 2025 reading ideals above 720000
  39. Sun Oct 19 20:35:17 2025 commencing singleton removal, initial pass
  40. Sun Oct 19 20:52:04 2025 memory use: 1506.0 MB
  41. Sun Oct 19 20:52:04 2025 reading all ideals from disk
  42. Sun Oct 19 20:52:11 2025 memory use: 2569.4 MB
  43. Sun Oct 19 20:52:25 2025 keeping 55390916 ideals with weight <= 200, target excess is 339093
  44. Sun Oct 19 20:52:42 2025 commencing in-memory singleton removal
  45. Sun Oct 19 20:52:54 2025 begin with 68528949 relations and 55390916 unique ideals
  46. Sun Oct 19 20:53:35 2025 reduce to 68528941 relations and 55390908 ideals in 3 passes
  47. Sun Oct 19 20:53:35 2025 max relations containing the same ideal: 200
  48. Sun Oct 19 20:54:44 2025 removing 8649023 relations and 6649023 ideals in 2000000 cliques
  49. Sun Oct 19 20:54:48 2025 commencing in-memory singleton removal
  50. Sun Oct 19 20:55:00 2025 begin with 59879918 relations and 55390908 unique ideals
  51. Sun Oct 19 20:56:42 2025 reduce to 58883746 relations and 47708673 ideals in 9 passes
  52. Sun Oct 19 20:56:42 2025 max relations containing the same ideal: 190
  53. Sun Oct 19 20:57:40 2025 removing 7039809 relations and 5039809 ideals in 2000000 cliques
  54. Sun Oct 19 20:57:45 2025 commencing in-memory singleton removal
  55. Sun Oct 19 20:57:55 2025 begin with 51843937 relations and 47708673 unique ideals
  56. Sun Oct 19 20:59:16 2025 reduce to 51128376 relations and 41928248 ideals in 8 passes
  57. Sun Oct 19 20:59:16 2025 max relations containing the same ideal: 175
  58. Sun Oct 19 21:00:07 2025 removing 6569446 relations and 4569446 ideals in 2000000 cliques
  59. Sun Oct 19 21:00:11 2025 commencing in-memory singleton removal
  60. Sun Oct 19 21:00:20 2025 begin with 44558930 relations and 41928248 unique ideals
  61. Sun Oct 19 21:01:27 2025 reduce to 43874426 relations and 36648312 ideals in 8 passes
  62. Sun Oct 19 21:01:27 2025 max relations containing the same ideal: 159
  63. Sun Oct 19 21:02:12 2025 removing 6366101 relations and 4366101 ideals in 2000000 cliques
  64. Sun Oct 19 21:02:17 2025 commencing in-memory singleton removal
  65. Sun Oct 19 21:02:24 2025 begin with 37508325 relations and 36648312 unique ideals
  66. Sun Oct 19 21:03:21 2025 reduce to 36787754 relations and 31531152 ideals in 8 passes
  67. Sun Oct 19 21:03:21 2025 max relations containing the same ideal: 143
  68. Sun Oct 19 21:04:00 2025 removing 6271517 relations and 4271517 ideals in 2000000 cliques
  69. Sun Oct 19 21:04:04 2025 commencing in-memory singleton removal
  70. Sun Oct 19 21:04:10 2025 begin with 30516237 relations and 31531152 unique ideals
  71. Sun Oct 19 21:04:55 2025 reduce to 29707157 relations and 26410165 ideals in 8 passes
  72. Sun Oct 19 21:04:55 2025 max relations containing the same ideal: 124
  73. Sun Oct 19 21:05:27 2025 removing 6235172 relations and 4235172 ideals in 2000000 cliques
  74. Sun Oct 19 21:05:31 2025 commencing in-memory singleton removal
  75. Sun Oct 19 21:05:35 2025 begin with 23471985 relations and 26410165 unique ideals
  76. Sun Oct 19 21:06:14 2025 reduce to 22506103 relations and 21148855 ideals in 9 passes
  77. Sun Oct 19 21:06:14 2025 max relations containing the same ideal: 102
  78. Sun Oct 19 21:06:38 2025 removing 3511932 relations and 2548032 ideals in 963900 cliques
  79. Sun Oct 19 21:06:40 2025 commencing in-memory singleton removal
  80. Sun Oct 19 21:06:43 2025 begin with 18994171 relations and 21148855 unique ideals
  81. Sun Oct 19 21:07:12 2025 reduce to 18572410 relations and 18162006 ideals in 8 passes
  82. Sun Oct 19 21:07:12 2025 max relations containing the same ideal: 88
  83. Sun Oct 19 21:07:33 2025 removing 121658 relations and 104602 ideals in 17056 cliques
  84. Sun Oct 19 21:07:35 2025 commencing in-memory singleton removal
  85. Sun Oct 19 21:07:37 2025 begin with 18450752 relations and 18162006 unique ideals
  86. Sun Oct 19 21:07:54 2025 reduce to 18450241 relations and 18056892 ideals in 5 passes
  87. Sun Oct 19 21:07:54 2025 max relations containing the same ideal: 87
  88. Sun Oct 19 21:08:02 2025 relations with 0 large ideals: 24785
  89. Sun Oct 19 21:08:02 2025 relations with 1 large ideals: 6387
  90. Sun Oct 19 21:08:02 2025 relations with 2 large ideals: 43979
  91. Sun Oct 19 21:08:02 2025 relations with 3 large ideals: 323799
  92. Sun Oct 19 21:08:02 2025 relations with 4 large ideals: 1310066
  93. Sun Oct 19 21:08:02 2025 relations with 5 large ideals: 3160826
  94. Sun Oct 19 21:08:02 2025 relations with 6 large ideals: 4737635
  95. Sun Oct 19 21:08:02 2025 relations with 7+ large ideals: 8842764
  96. Sun Oct 19 21:08:02 2025 commencing 2-way merge
  97. Sun Oct 19 21:08:27 2025 reduce to 12024950 relation sets and 11631601 unique ideals
  98. Sun Oct 19 21:08:27 2025 commencing full merge
  99. Sun Oct 19 21:18:19 2025 memory use: 1676.0 MB
  100. Sun Oct 19 21:18:21 2025 found 5562376 cycles, need 5559801
  101. Sun Oct 19 21:18:25 2025 weight of 5559801 cycles is about 611580732 (110.00/cycle)
  102. Sun Oct 19 21:18:25 2025 distribution of cycle lengths:
  103. Sun Oct 19 21:18:25 2025 1 relations: 296311
  104. Sun Oct 19 21:18:25 2025 2 relations: 378657
  105. Sun Oct 19 21:18:25 2025 3 relations: 418677
  106. Sun Oct 19 21:18:25 2025 4 relations: 419269
  107. Sun Oct 19 21:18:25 2025 5 relations: 418576
  108. Sun Oct 19 21:18:25 2025 6 relations: 406013
  109. Sun Oct 19 21:18:25 2025 7 relations: 391203
  110. Sun Oct 19 21:18:25 2025 8 relations: 369939
  111. Sun Oct 19 21:18:25 2025 9 relations: 344143
  112. Sun Oct 19 21:18:25 2025 10+ relations: 2117013
  113. Sun Oct 19 21:18:25 2025 heaviest cycle: 28 relations
  114. Sun Oct 19 21:18:28 2025 commencing cycle optimization
  115. Sun Oct 19 21:18:51 2025 start with 48228431 relations
  116. Sun Oct 19 21:22:33 2025 pruned 2164764 relations
  117. Sun Oct 19 21:22:33 2025 memory use: 1263.2 MB
  118. Sun Oct 19 21:22:33 2025 distribution of cycle lengths:
  119. Sun Oct 19 21:22:33 2025 1 relations: 296311
  120. Sun Oct 19 21:22:33 2025 2 relations: 386397
  121. Sun Oct 19 21:22:33 2025 3 relations: 434423
  122. Sun Oct 19 21:22:33 2025 4 relations: 435409
  123. Sun Oct 19 21:22:33 2025 5 relations: 438164
  124. Sun Oct 19 21:22:33 2025 6 relations: 424005
  125. Sun Oct 19 21:22:33 2025 7 relations: 410786
  126. Sun Oct 19 21:22:33 2025 8 relations: 386663
  127. Sun Oct 19 21:22:33 2025 9 relations: 358863
  128. Sun Oct 19 21:22:33 2025 10+ relations: 1988780
  129. Sun Oct 19 21:22:33 2025 heaviest cycle: 28 relations
  130. Sun Oct 19 21:22:52 2025 RelProcTime: 5342
  131. Sun Oct 19 21:22:52 2025
  132. Sun Oct 19 21:22:52 2025 commencing linear algebra
  133. Sun Oct 19 21:22:52 2025 using VBITS=512
  134. Sun Oct 19 21:22:53 2025 read 5559801 cycles
  135. Sun Oct 19 21:23:15 2025 cycles contain 18226100 unique relations
  136. Sun Oct 19 21:26:26 2025 read 18226100 relations
  137. Sun Oct 19 21:27:28 2025 using 20 quadratic characters above 4294917295
  138. Sun Oct 19 21:29:36 2025 building initial matrix
  139. Sun Oct 19 21:38:24 2025 memory use: 2242.8 MB
  140. Sun Oct 19 21:38:32 2025 read 5559801 cycles
  141. Sun Oct 19 21:38:33 2025 matrix is 5559624 x 5559801 (2396.7 MB) with weight 679391592 (122.20/col)
  142. Sun Oct 19 21:38:33 2025 sparse part has weight 572687724 (103.01/col)
  143. Sun Oct 19 21:40:58 2025 filtering completed in 2 passes
  144. Sun Oct 19 21:41:01 2025 matrix is 5559577 x 5559720 (2396.7 MB) with weight 679389626 (122.20/col)
  145. Sun Oct 19 21:41:01 2025 sparse part has weight 572687080 (103.01/col)
  146. Sun Oct 19 21:41:44 2025 matrix starts at (0, 0)
  147. Sun Oct 19 21:41:45 2025 matrix is 5559577 x 5559720 (2396.7 MB) with weight 679389626 (122.20/col)
  148. Sun Oct 19 21:41:45 2025 sparse part has weight 572687080 (103.01/col)
  149. Sun Oct 19 21:41:45 2025 saving the first 496 matrix rows for later
  150. Sun Oct 19 21:41:50 2025 matrix includes 512 packed rows
  151. Sun Oct 19 21:42:00 2025 matrix is 5559081 x 5559720 (2279.1 MB) with weight 491067217 (88.33/col)
  152. Sun Oct 19 21:42:00 2025 sparse part has weight 464025587 (83.46/col)
  153. Sun Oct 19 21:57:48 2025
  154. Sun Oct 19 21:57:48 2025
  155. Sun Oct 19 21:57:48 2025 Msieve v. 1.54 (SVN unknown)
  156. Sun Oct 19 21:57:48 2025 random seeds: 7f2bfd6f 8b68ac4b
  157. Sun Oct 19 21:57:48 2025 factoring 1823661551712189779937333673585343082550097492584999494711625797028141770236196154809469171034588173238446399766858719731703649945042777689295978204652571408855365386384177254390431839738885947865605679518598341318883 (217 digits)
  158. Sun Oct 19 21:57:49 2025 no P-1/P+1/ECM available, skipping
  159. Sun Oct 19 21:57:49 2025 commencing number field sieve (217-digit input)
  160. Sun Oct 19 21:57:49 2025 R0: 94962560811790273604447042914443660290
  161. Sun Oct 19 21:57:49 2025 R1: -9744873565715990017
  162. Sun Oct 19 21:57:49 2025 A0: -1
  163. Sun Oct 19 21:57:49 2025 A1: 3
  164. Sun Oct 19 21:57:49 2025 A2: 6
  165. Sun Oct 19 21:57:49 2025 A3: -4
  166. Sun Oct 19 21:57:49 2025 A4: -5
  167. Sun Oct 19 21:57:49 2025 A5: 1
  168. Sun Oct 19 21:57:49 2025 A6: 1
  169. Sun Oct 19 21:57:49 2025 skew 1.37, size 3.177e-11, alpha 3.126, combined = 1.455e-12 rroots = 6
  170. Sun Oct 19 21:57:49 2025
  171. Sun Oct 19 21:57:49 2025 commencing linear algebra
  172. Sun Oct 19 21:57:49 2025 using VBITS=512
  173. Sun Oct 19 21:57:49 2025 skipping matrix build
  174. Sun Oct 19 21:57:51 2025 matrix starts at (0, 0)
  175. Sun Oct 19 21:57:51 2025 matrix is 5559577 x 5559720 (2396.7 MB) with weight 679389626 (122.20/col)
  176. Sun Oct 19 21:57:51 2025 sparse part has weight 572687080 (103.01/col)
  177. Sun Oct 19 21:57:51 2025 saving the first 496 matrix rows for later
  178. Sun Oct 19 21:57:53 2025 matrix includes 512 packed rows
  179. Sun Oct 19 21:57:56 2025 matrix is 5559081 x 5559720 (2279.1 MB) with weight 491067217 (88.33/col)
  180. Sun Oct 19 21:57:56 2025 sparse part has weight 464025587 (83.46/col)
  181. Sun Oct 19 21:57:56 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  182. Sun Oct 19 21:57:56 2025 selected card has CUDA arch 8.6
  183. Sun Oct 19 21:58:26 2025 commencing Lanczos iteration
  184. Sun Oct 19 21:58:27 2025 memory use: 6339.8 MB
  185. Sun Oct 19 21:58:52 2025 linear algebra at 0.3%, ETA 2h30m
  186. Sun Oct 19 21:58:53 2025 checkpointing every 2200000 dimensions
  187. Mon Oct 20 00:08:43 2025 lanczos halted after 10875 iterations (dim = 5559075)
  188. Mon Oct 20 00:10:10 2025 recovered 29 nontrivial dependencies
  189. Mon Oct 20 00:10:10 2025 BLanczosTime: 7941
  190. Mon Oct 20 00:10:10 2025 elapsed time 02:12:22
  191. Mon Oct 20 01:38:30 2025
  192. Mon Oct 20 01:38:30 2025
  193. Mon Oct 20 01:38:30 2025 Msieve v. 1.54 (SVN unknown)
  194. Mon Oct 20 01:38:30 2025 random seeds: 8c91c12a 6dc3e48f
  195. Mon Oct 20 01:38:30 2025 factoring 1823661551712189779937333673585343082550097492584999494711625797028141770236196154809469171034588173238446399766858719731703649945042777689295978204652571408855365386384177254390431839738885947865605679518598341318883 (217 digits)
  196. Mon Oct 20 01:38:31 2025 no P-1/P+1/ECM available, skipping
  197. Mon Oct 20 01:38:31 2025 commencing number field sieve (217-digit input)
  198. Mon Oct 20 01:38:31 2025 R0: 94962560811790273604447042914443660290
  199. Mon Oct 20 01:38:31 2025 R1: -9744873565715990017
  200. Mon Oct 20 01:38:31 2025 A0: -1
  201. Mon Oct 20 01:38:31 2025 A1: 3
  202. Mon Oct 20 01:38:31 2025 A2: 6
  203. Mon Oct 20 01:38:31 2025 A3: -4
  204. Mon Oct 20 01:38:31 2025 A4: -5
  205. Mon Oct 20 01:38:31 2025 A5: 1
  206. Mon Oct 20 01:38:31 2025 A6: 1
  207. Mon Oct 20 01:38:31 2025 skew 1.37, size 3.177e-11, alpha 3.126, combined = 1.455e-12 rroots = 6
  208. Mon Oct 20 01:38:31 2025
  209. Mon Oct 20 01:38:31 2025 commencing square root phase
  210. Mon Oct 20 01:38:31 2025 reading relations for dependency 1
  211. Mon Oct 20 01:38:32 2025 read 2779151 cycles
  212. Mon Oct 20 01:38:36 2025 cycles contain 9113178 unique relations
  213. Mon Oct 20 01:39:16 2025 read 9113178 relations
  214. Mon Oct 20 01:39:49 2025 multiplying 9113178 relations
  215. Mon Oct 20 01:44:00 2025 multiply complete, coefficients have about 220.91 million bits
  216. Mon Oct 20 01:44:01 2025 initial square root is modulo 84715339
  217. Mon Oct 20 01:48:47 2025 sqrtTime: 616
  218. Mon Oct 20 01:48:47 2025 p76 factor: 3058871879959385974836268334358548607682488465502694291519180018351112096133
  219. Mon Oct 20 01:48:47 2025 p141 factor: 596187621868099738461157783250790408057907362064922435110891451007222108267078401923764983059789878890359658870454240036030282360585069031751
  220. Mon Oct 20 01:48:47 2025 elapsed time 00:10:17
  221.  
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