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Aug 23rd, 2025
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  1. Fri Aug 22 19:58:46 2025
  2. Fri Aug 22 19:58:46 2025
  3. Fri Aug 22 19:58:46 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Aug 22 19:58:46 2025 random seeds: aa63b630 e308e7ef
  5. Fri Aug 22 19:58:46 2025 factoring 1152330552806508269734625453332908869928810600307484978310909099224743331197923579282376880123904269909012259602778006186171636026913314598809224350787586453504475635056967357196561694762064153343865218597363804964711757101 (223 digits)
  6. Fri Aug 22 19:58:48 2025 searching for 15-digit factors
  7. Fri Aug 22 19:58:49 2025 commencing number field sieve (223-digit input)
  8. Fri Aug 22 19:58:49 2025 R0: 10239125028719824036356814330107188450
  9. Fri Aug 22 19:58:49 2025 R1: -3199863282816911857
  10. Fri Aug 22 19:58:49 2025 A0: -1
  11. Fri Aug 22 19:58:49 2025 A1: 3
  12. Fri Aug 22 19:58:49 2025 A2: 6
  13. Fri Aug 22 19:58:49 2025 A3: -4
  14. Fri Aug 22 19:58:49 2025 A4: -5
  15. Fri Aug 22 19:58:49 2025 A5: 1
  16. Fri Aug 22 19:58:49 2025 A6: 1
  17. Fri Aug 22 19:58:49 2025 skew 1.37, size 6.003e-11, alpha 3.126, combined = 2.299e-12 rroots = 6
  18. Fri Aug 22 19:58:49 2025
  19. Fri Aug 22 19:58:49 2025 commencing relation filtering
  20. Fri Aug 22 19:58:49 2025 setting target matrix density to 120.0
  21. Fri Aug 22 19:58:49 2025 estimated available RAM is 15938.6 MB
  22. Fri Aug 22 19:58:49 2025 commencing duplicate removal, pass 1
  23. Fri Aug 22 20:12:14 2025 skipped 6 relations with b > 2^32
  24. Fri Aug 22 20:12:14 2025 found 5224714 hash collisions in 109516054 relations
  25. Fri Aug 22 20:12:28 2025 added 2438358 free relations
  26. Fri Aug 22 20:12:28 2025 commencing duplicate removal, pass 2
  27. Fri Aug 22 20:13:17 2025 found 0 duplicates and 111954412 unique relations
  28. Fri Aug 22 20:13:17 2025 memory use: 378.4 MB
  29. Fri Aug 22 20:13:17 2025 reading ideals above 59965440
  30. Fri Aug 22 20:13:17 2025 commencing singleton removal, initial pass
  31. Fri Aug 22 20:22:38 2025 memory use: 2756.0 MB
  32. Fri Aug 22 20:22:38 2025 reading all ideals from disk
  33. Fri Aug 22 20:22:42 2025 memory use: 1976.0 MB
  34. Fri Aug 22 20:22:49 2025 commencing in-memory singleton removal
  35. Fri Aug 22 20:22:56 2025 begin with 111954412 relations and 85272696 unique ideals
  36. Fri Aug 22 20:24:03 2025 reduce to 80891505 relations and 51595677 ideals in 11 passes
  37. Fri Aug 22 20:24:03 2025 max relations containing the same ideal: 57
  38. Fri Aug 22 20:24:11 2025 reading ideals above 720000
  39. Fri Aug 22 20:24:11 2025 commencing singleton removal, initial pass
  40. Fri Aug 22 20:33:32 2025 memory use: 1506.0 MB
  41. Fri Aug 22 20:33:32 2025 reading all ideals from disk
  42. Fri Aug 22 20:33:38 2025 memory use: 2989.5 MB
  43. Fri Aug 22 20:33:48 2025 keeping 58305642 ideals with weight <= 200, target excess is 410229
  44. Fri Aug 22 20:33:58 2025 commencing in-memory singleton removal
  45. Fri Aug 22 20:34:07 2025 begin with 80891505 relations and 58305642 unique ideals
  46. Fri Aug 22 20:34:15 2025 reduce to 80891505 relations and 58305642 ideals in 1 passes
  47. Fri Aug 22 20:34:15 2025 max relations containing the same ideal: 200
  48. Fri Aug 22 20:34:59 2025 removing 7568067 relations and 5568067 ideals in 2000000 cliques
  49. Fri Aug 22 20:35:02 2025 commencing in-memory singleton removal
  50. Fri Aug 22 20:35:11 2025 begin with 73323438 relations and 58305642 unique ideals
  51. Fri Aug 22 20:36:00 2025 reduce to 72730845 relations and 52126833 ideals in 7 passes
  52. Fri Aug 22 20:36:00 2025 max relations containing the same ideal: 195
  53. Fri Aug 22 20:36:40 2025 removing 6193758 relations and 4193758 ideals in 2000000 cliques
  54. Fri Aug 22 20:36:43 2025 commencing in-memory singleton removal
  55. Fri Aug 22 20:36:50 2025 begin with 66537087 relations and 52126833 unique ideals
  56. Fri Aug 22 20:37:27 2025 reduce to 66128601 relations and 47513187 ideals in 6 passes
  57. Fri Aug 22 20:37:27 2025 max relations containing the same ideal: 186
  58. Fri Aug 22 20:38:02 2025 removing 5770307 relations and 3770307 ideals in 2000000 cliques
  59. Fri Aug 22 20:38:05 2025 commencing in-memory singleton removal
  60. Fri Aug 22 20:38:11 2025 begin with 60358294 relations and 47513187 unique ideals
  61. Fri Aug 22 20:38:43 2025 reduce to 60000201 relations and 43374366 ideals in 6 passes
  62. Fri Aug 22 20:38:43 2025 max relations containing the same ideal: 177
  63. Fri Aug 22 20:39:14 2025 removing 5549037 relations and 3549037 ideals in 2000000 cliques
  64. Fri Aug 22 20:39:17 2025 commencing in-memory singleton removal
  65. Fri Aug 22 20:39:22 2025 begin with 54451164 relations and 43374366 unique ideals
  66. Fri Aug 22 20:39:51 2025 reduce to 54109501 relations and 39473081 ideals in 6 passes
  67. Fri Aug 22 20:39:51 2025 max relations containing the same ideal: 164
  68. Fri Aug 22 20:40:19 2025 removing 5413977 relations and 3413977 ideals in 2000000 cliques
  69. Fri Aug 22 20:40:21 2025 commencing in-memory singleton removal
  70. Fri Aug 22 20:40:26 2025 begin with 48695524 relations and 39473081 unique ideals
  71. Fri Aug 22 20:40:55 2025 reduce to 48353754 relations and 35706108 ideals in 7 passes
  72. Fri Aug 22 20:40:55 2025 max relations containing the same ideal: 150
  73. Fri Aug 22 20:41:20 2025 removing 5325193 relations and 3325193 ideals in 2000000 cliques
  74. Fri Aug 22 20:41:22 2025 commencing in-memory singleton removal
  75. Fri Aug 22 20:41:26 2025 begin with 43028561 relations and 35706108 unique ideals
  76. Fri Aug 22 20:41:45 2025 reduce to 42676350 relations and 32015926 ideals in 6 passes
  77. Fri Aug 22 20:41:45 2025 max relations containing the same ideal: 138
  78. Fri Aug 22 20:42:08 2025 removing 5264961 relations and 3264961 ideals in 2000000 cliques
  79. Fri Aug 22 20:42:10 2025 commencing in-memory singleton removal
  80. Fri Aug 22 20:42:14 2025 begin with 37411389 relations and 32015926 unique ideals
  81. Fri Aug 22 20:42:39 2025 reduce to 37037549 relations and 28362075 ideals in 8 passes
  82. Fri Aug 22 20:42:39 2025 max relations containing the same ideal: 129
  83. Fri Aug 22 20:42:58 2025 removing 5225356 relations and 3225356 ideals in 2000000 cliques
  84. Fri Aug 22 20:43:00 2025 commencing in-memory singleton removal
  85. Fri Aug 22 20:43:03 2025 begin with 31812193 relations and 28362075 unique ideals
  86. Fri Aug 22 20:43:18 2025 reduce to 31401057 relations and 24706756 ideals in 6 passes
  87. Fri Aug 22 20:43:18 2025 max relations containing the same ideal: 118
  88. Fri Aug 22 20:43:35 2025 removing 5201316 relations and 3201316 ideals in 2000000 cliques
  89. Fri Aug 22 20:43:37 2025 commencing in-memory singleton removal
  90. Fri Aug 22 20:43:39 2025 begin with 26199741 relations and 24706756 unique ideals
  91. Fri Aug 22 20:43:52 2025 reduce to 25735580 relations and 21017050 ideals in 6 passes
  92. Fri Aug 22 20:43:52 2025 max relations containing the same ideal: 105
  93. Fri Aug 22 20:44:06 2025 removing 5178670 relations and 3178670 ideals in 2000000 cliques
  94. Fri Aug 22 20:44:08 2025 commencing in-memory singleton removal
  95. Fri Aug 22 20:44:10 2025 begin with 20556910 relations and 21017050 unique ideals
  96. Fri Aug 22 20:44:21 2025 reduce to 20013049 relations and 17259893 ideals in 7 passes
  97. Fri Aug 22 20:44:21 2025 max relations containing the same ideal: 83
  98. Fri Aug 22 20:44:31 2025 removing 5147013 relations and 3147013 ideals in 2000000 cliques
  99. Fri Aug 22 20:44:33 2025 commencing in-memory singleton removal
  100. Fri Aug 22 20:44:35 2025 begin with 14866036 relations and 17259893 unique ideals
  101. Fri Aug 22 20:44:43 2025 reduce to 14183771 relations and 13374020 ideals in 7 passes
  102. Fri Aug 22 20:44:43 2025 max relations containing the same ideal: 64
  103. Fri Aug 22 20:44:50 2025 removing 1165563 relations and 831678 ideals in 333885 cliques
  104. Fri Aug 22 20:44:51 2025 commencing in-memory singleton removal
  105. Fri Aug 22 20:44:52 2025 begin with 13018208 relations and 13374020 unique ideals
  106. Fri Aug 22 20:44:59 2025 reduce to 12914370 relations and 12435772 ideals in 7 passes
  107. Fri Aug 22 20:44:59 2025 max relations containing the same ideal: 63
  108. Fri Aug 22 20:45:09 2025 relations with 0 large ideals: 30541
  109. Fri Aug 22 20:45:09 2025 relations with 1 large ideals: 9738
  110. Fri Aug 22 20:45:09 2025 relations with 2 large ideals: 89887
  111. Fri Aug 22 20:45:09 2025 relations with 3 large ideals: 528788
  112. Fri Aug 22 20:45:09 2025 relations with 4 large ideals: 1642716
  113. Fri Aug 22 20:45:09 2025 relations with 5 large ideals: 3000465
  114. Fri Aug 22 20:45:09 2025 relations with 6 large ideals: 3387008
  115. Fri Aug 22 20:45:09 2025 relations with 7+ large ideals: 4225227
  116. Fri Aug 22 20:45:09 2025 commencing 2-way merge
  117. Fri Aug 22 20:45:18 2025 reduce to 8971687 relation sets and 8493089 unique ideals
  118. Fri Aug 22 20:45:18 2025 commencing full merge
  119. Fri Aug 22 20:49:37 2025 memory use: 1180.7 MB
  120. Fri Aug 22 20:49:38 2025 found 4028160 cycles, need 4017289
  121. Fri Aug 22 20:49:40 2025 weight of 4017289 cycles is about 482133718 (120.01/cycle)
  122. Fri Aug 22 20:49:40 2025 distribution of cycle lengths:
  123. Fri Aug 22 20:49:40 2025 1 relations: 116983
  124. Fri Aug 22 20:49:40 2025 2 relations: 191387
  125. Fri Aug 22 20:49:40 2025 3 relations: 251425
  126. Fri Aug 22 20:49:40 2025 4 relations: 277651
  127. Fri Aug 22 20:49:40 2025 5 relations: 296755
  128. Fri Aug 22 20:49:40 2025 6 relations: 301074
  129. Fri Aug 22 20:49:40 2025 7 relations: 297452
  130. Fri Aug 22 20:49:40 2025 8 relations: 287329
  131. Fri Aug 22 20:49:40 2025 9 relations: 267918
  132. Fri Aug 22 20:49:40 2025 10+ relations: 1729315
  133. Fri Aug 22 20:49:40 2025 heaviest cycle: 28 relations
  134. Fri Aug 22 20:49:41 2025 commencing cycle optimization
  135. Fri Aug 22 20:49:51 2025 start with 37910556 relations
  136. Fri Aug 22 20:51:40 2025 pruned 2123104 relations
  137. Fri Aug 22 20:51:40 2025 memory use: 927.1 MB
  138. Fri Aug 22 20:51:40 2025 distribution of cycle lengths:
  139. Fri Aug 22 20:51:40 2025 1 relations: 116983
  140. Fri Aug 22 20:51:40 2025 2 relations: 196293
  141. Fri Aug 22 20:51:40 2025 3 relations: 262635
  142. Fri Aug 22 20:51:40 2025 4 relations: 291364
  143. Fri Aug 22 20:51:40 2025 5 relations: 314679
  144. Fri Aug 22 20:51:40 2025 6 relations: 319451
  145. Fri Aug 22 20:51:40 2025 7 relations: 317913
  146. Fri Aug 22 20:51:40 2025 8 relations: 305858
  147. Fri Aug 22 20:51:40 2025 9 relations: 284589
  148. Fri Aug 22 20:51:40 2025 10+ relations: 1607524
  149. Fri Aug 22 20:51:40 2025 heaviest cycle: 28 relations
  150. Fri Aug 22 20:51:50 2025 RelProcTime: 3181
  151. Fri Aug 22 20:51:50 2025
  152. Fri Aug 22 20:51:50 2025 commencing linear algebra
  153. Fri Aug 22 20:51:50 2025 using VBITS=512
  154. Fri Aug 22 20:51:50 2025 read 4017289 cycles
  155. Fri Aug 22 20:52:00 2025 cycles contain 12683500 unique relations
  156. Fri Aug 22 20:52:57 2025 read 12683500 relations
  157. Fri Aug 22 20:53:22 2025 using 20 quadratic characters above 4294917295
  158. Fri Aug 22 20:54:15 2025 building initial matrix
  159. Fri Aug 22 20:57:25 2025 memory use: 1556.2 MB
  160. Fri Aug 22 20:57:27 2025 read 4017289 cycles
  161. Fri Aug 22 20:57:28 2025 matrix is 4017112 x 4017289 (1849.2 MB) with weight 523829212 (130.39/col)
  162. Fri Aug 22 20:57:28 2025 sparse part has weight 444584770 (110.67/col)
  163. Fri Aug 22 20:58:29 2025 filtering completed in 2 passes
  164. Fri Aug 22 20:58:30 2025 matrix is 4017070 x 4017213 (1849.2 MB) with weight 523826996 (130.40/col)
  165. Fri Aug 22 20:58:30 2025 sparse part has weight 444583856 (110.67/col)
  166. Fri Aug 22 20:58:44 2025 matrix starts at (0, 0)
  167. Fri Aug 22 20:58:44 2025 matrix is 4017070 x 4017213 (1849.2 MB) with weight 523826996 (130.40/col)
  168. Fri Aug 22 20:58:44 2025 sparse part has weight 444583856 (110.67/col)
  169. Fri Aug 22 20:58:44 2025 saving the first 496 matrix rows for later
  170. Fri Aug 22 20:58:45 2025 matrix includes 512 packed rows
  171. Fri Aug 22 20:58:49 2025 matrix is 4016574 x 4017213 (1734.1 MB) with weight 379866290 (94.56/col)
  172. Fri Aug 22 20:58:49 2025 sparse part has weight 358162902 (89.16/col)
  173. Fri Aug 22 21:37:02 2025
  174. Fri Aug 22 21:37:02 2025
  175. Fri Aug 22 21:37:02 2025 Msieve v. 1.54 (SVN unknown)
  176. Fri Aug 22 21:37:02 2025 random seeds: e6b92678 c08284eb
  177. Fri Aug 22 21:37:02 2025 factoring 1152330552806508269734625453332908869928810600307484978310909099224743331197923579282376880123904269909012259602778006186171636026913314598809224350787586453504475635056967357196561694762064153343865218597363804964711757101 (223 digits)
  178. Fri Aug 22 21:37:03 2025 no P-1/P+1/ECM available, skipping
  179. Fri Aug 22 21:37:03 2025 commencing number field sieve (223-digit input)
  180. Fri Aug 22 21:37:03 2025 R0: 10239125028719824036356814330107188450
  181. Fri Aug 22 21:37:03 2025 R1: -3199863282816911857
  182. Fri Aug 22 21:37:03 2025 A0: -1
  183. Fri Aug 22 21:37:03 2025 A1: 3
  184. Fri Aug 22 21:37:03 2025 A2: 6
  185. Fri Aug 22 21:37:03 2025 A3: -4
  186. Fri Aug 22 21:37:03 2025 A4: -5
  187. Fri Aug 22 21:37:03 2025 A5: 1
  188. Fri Aug 22 21:37:03 2025 A6: 1
  189. Fri Aug 22 21:37:03 2025 skew 1.37, size 6.003e-11, alpha 3.126, combined = 2.299e-12 rroots = 6
  190. Fri Aug 22 21:37:03 2025
  191. Fri Aug 22 21:37:03 2025 commencing linear algebra
  192. Fri Aug 22 21:37:03 2025 using VBITS=512
  193. Fri Aug 22 21:37:03 2025 skipping matrix build
  194. Fri Aug 22 21:37:08 2025 matrix starts at (0, 0)
  195. Fri Aug 22 21:37:08 2025 matrix is 4017070 x 4017213 (1849.2 MB) with weight 523826996 (130.40/col)
  196. Fri Aug 22 21:37:08 2025 sparse part has weight 444583856 (110.67/col)
  197. Fri Aug 22 21:37:08 2025 saving the first 496 matrix rows for later
  198. Fri Aug 22 21:37:10 2025 matrix includes 512 packed rows
  199. Fri Aug 22 21:37:12 2025 matrix is 4016574 x 4017213 (1734.1 MB) with weight 379866290 (94.56/col)
  200. Fri Aug 22 21:37:12 2025 sparse part has weight 358162902 (89.16/col)
  201. Fri Aug 22 21:37:12 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  202. Fri Aug 22 21:37:12 2025 selected card has CUDA arch 8.6
  203. Fri Aug 22 21:37:36 2025 commencing Lanczos iteration
  204. Fri Aug 22 21:37:37 2025 memory use: 4724.8 MB
  205. Fri Aug 22 21:37:51 2025 linear algebra at 0.4%, ETA 1h 0m
  206. Fri Aug 22 21:37:51 2025 checkpointing every 4080000 dimensions
  207. Fri Aug 22 22:48:08 2025 lanczos halted after 7858 iterations (dim = 4016573)
  208. Fri Aug 22 22:48:59 2025 recovered 33 nontrivial dependencies
  209. Fri Aug 22 22:48:59 2025 BLanczosTime: 4316
  210. Fri Aug 22 22:48:59 2025 elapsed time 01:11:57
  211. Sat Aug 23 09:15:03 2025
  212. Sat Aug 23 09:15:03 2025
  213. Sat Aug 23 09:15:03 2025 Msieve v. 1.54 (SVN Unversioned directory)
  214. Sat Aug 23 09:15:03 2025 random seeds: 7da7312c f327d9c2
  215. Sat Aug 23 09:15:03 2025 factoring 1152330552806508269734625453332908869928810600307484978310909099224743331197923579282376880123904269909012259602778006186171636026913314598809224350787586453504475635056967357196561694762064153343865218597363804964711757101 (223 digits)
  216. Sat Aug 23 09:15:05 2025 searching for 15-digit factors
  217. Sat Aug 23 09:15:06 2025 commencing number field sieve (223-digit input)
  218. Sat Aug 23 09:15:06 2025 R0: 10239125028719824036356814330107188450
  219. Sat Aug 23 09:15:06 2025 R1: -3199863282816911857
  220. Sat Aug 23 09:15:06 2025 A0: -1
  221. Sat Aug 23 09:15:06 2025 A1: 3
  222. Sat Aug 23 09:15:06 2025 A2: 6
  223. Sat Aug 23 09:15:06 2025 A3: -4
  224. Sat Aug 23 09:15:06 2025 A4: -5
  225. Sat Aug 23 09:15:06 2025 A5: 1
  226. Sat Aug 23 09:15:06 2025 A6: 1
  227. Sat Aug 23 09:15:06 2025 skew 1.37, size 6.003e-11, alpha 3.126, combined = 2.299e-12 rroots = 6
  228. Sat Aug 23 09:15:06 2025
  229. Sat Aug 23 09:15:06 2025 commencing square root phase
  230. Sat Aug 23 09:15:06 2025 reading relations for dependency 1
  231. Sat Aug 23 09:15:07 2025 read 2009643 cycles
  232. Sat Aug 23 09:15:13 2025 cycles contain 6345244 unique relations
  233. Sat Aug 23 09:16:10 2025 read 6345244 relations
  234. Sat Aug 23 09:16:52 2025 multiplying 6345244 relations
  235. Sat Aug 23 09:22:45 2025 multiply complete, coefficients have about 153.10 million bits
  236. Sat Aug 23 09:22:46 2025 initial square root is modulo 312197
  237. Sat Aug 23 09:29:29 2025 GCD is N, no factor found
  238. Sat Aug 23 09:29:29 2025 reading relations for dependency 2
  239. Sat Aug 23 09:29:29 2025 read 2008058 cycles
  240. Sat Aug 23 09:29:35 2025 cycles contain 6342240 unique relations
  241. Sat Aug 23 09:30:29 2025 read 6342240 relations
  242. Sat Aug 23 09:31:10 2025 multiplying 6342240 relations
  243. Sat Aug 23 09:37:01 2025 multiply complete, coefficients have about 153.02 million bits
  244. Sat Aug 23 09:37:02 2025 initial square root is modulo 310087
  245. Sat Aug 23 09:43:43 2025 sqrtTime: 1717
  246. Sat Aug 23 09:43:43 2025 p111 factor: 392495302758820073276038710910829030817619995127563622326355915735441418393929287302767327860034599663225230009
  247. Sat Aug 23 09:43:43 2025 p112 factor: 2935909155362785639993325407783295566335186769776870682233257556003852125907779944451928536294392940430933920789
  248. Sat Aug 23 09:43:43 2025 elapsed time 00:28:40
  249.  
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