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Dec 16th, 2025
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  1. Mon Dec 15 10:18:09 2025
  2. Mon Dec 15 10:18:09 2025
  3. Mon Dec 15 10:18:09 2025 Msieve v. 1.54 (SVN unknown)
  4. Mon Dec 15 10:18:09 2025 random seeds: 2dbceb01 caea9702
  5. Mon Dec 15 10:18:09 2025 factoring 1517164731150609810450730345917088606474228698343100771960623240889294985858555324160384892975922273333133013074669571801793655221711440684136332938312284262546192003799404505228211392530698994914892141716511494659439273793 (223 digits)
  6. Mon Dec 15 10:18:10 2025 no P-1/P+1/ECM available, skipping
  7. Mon Dec 15 10:18:10 2025 commencing number field sieve (223-digit input)
  8. Mon Dec 15 10:18:10 2025 R0: 10719440624731746790254758330812364863
  9. Mon Dec 15 10:18:10 2025 R1: -1
  10. Mon Dec 15 10:18:10 2025 A0: 1
  11. Mon Dec 15 10:18:10 2025 A1: 1
  12. Mon Dec 15 10:18:10 2025 A2: 1
  13. Mon Dec 15 10:18:10 2025 A3: 1
  14. Mon Dec 15 10:18:10 2025 A4: 1
  15. Mon Dec 15 10:18:10 2025 A5: 1
  16. Mon Dec 15 10:18:10 2025 A6: 1
  17. Mon Dec 15 10:18:10 2025 skew 1.34, size 5.115e-11, alpha 2.428, combined = 2.088e-12 rroots = 0
  18. Mon Dec 15 10:18:10 2025
  19. Mon Dec 15 10:18:10 2025 commencing relation filtering
  20. Mon Dec 15 10:18:10 2025 setting target matrix density to 100.0
  21. Mon Dec 15 10:18:10 2025 estimated available RAM is 7902.4 MB
  22. Mon Dec 15 10:18:10 2025 commencing duplicate removal, pass 1
  23. Mon Dec 15 10:25:52 2025 skipped 1 relations with b > 2^32
  24. Mon Dec 15 10:25:52 2025 found 2865066 hash collisions in 80380576 relations
  25. Mon Dec 15 10:25:59 2025 added 2438534 free relations
  26. Mon Dec 15 10:25:59 2025 commencing duplicate removal, pass 2
  27. Mon Dec 15 10:26:21 2025 found 0 duplicates and 82819110 unique relations
  28. Mon Dec 15 10:26:21 2025 memory use: 253.2 MB
  29. Mon Dec 15 10:26:21 2025 reading ideals above 43057152
  30. Mon Dec 15 10:26:21 2025 commencing singleton removal, initial pass
  31. Mon Dec 15 10:32:30 2025 memory use: 1506.0 MB
  32. Mon Dec 15 10:32:30 2025 reading all ideals from disk
  33. Mon Dec 15 10:32:32 2025 memory use: 1504.9 MB
  34. Mon Dec 15 10:32:35 2025 commencing in-memory singleton removal
  35. Mon Dec 15 10:32:38 2025 begin with 82819110 relations and 77135717 unique ideals
  36. Mon Dec 15 10:33:08 2025 reduce to 43697732 relations and 32748092 ideals in 17 passes
  37. Mon Dec 15 10:33:08 2025 max relations containing the same ideal: 28
  38. Mon Dec 15 10:33:10 2025 reading ideals above 720000
  39. Mon Dec 15 10:33:10 2025 commencing singleton removal, initial pass
  40. Mon Dec 15 10:37:10 2025 memory use: 753.0 MB
  41. Mon Dec 15 10:37:10 2025 reading all ideals from disk
  42. Mon Dec 15 10:37:12 2025 memory use: 1589.1 MB
  43. Mon Dec 15 10:37:16 2025 keeping 37737903 ideals with weight <= 200, target excess is 225475
  44. Mon Dec 15 10:37:19 2025 commencing in-memory singleton removal
  45. Mon Dec 15 10:37:22 2025 begin with 43697732 relations and 37737903 unique ideals
  46. Mon Dec 15 10:37:29 2025 reduce to 43697719 relations and 37737890 ideals in 3 passes
  47. Mon Dec 15 10:37:29 2025 max relations containing the same ideal: 200
  48. Mon Dec 15 10:37:45 2025 removing 5795218 relations and 4795218 ideals in 1000000 cliques
  49. Mon Dec 15 10:37:47 2025 commencing in-memory singleton removal
  50. Mon Dec 15 10:37:49 2025 begin with 37902501 relations and 37737890 unique ideals
  51. Mon Dec 15 10:38:09 2025 reduce to 37152205 relations and 32170009 ideals in 9 passes
  52. Mon Dec 15 10:38:09 2025 max relations containing the same ideal: 188
  53. Mon Dec 15 10:38:22 2025 removing 4596377 relations and 3596377 ideals in 1000000 cliques
  54. Mon Dec 15 10:38:23 2025 commencing in-memory singleton removal
  55. Mon Dec 15 10:38:25 2025 begin with 32555828 relations and 32170009 unique ideals
  56. Mon Dec 15 10:38:40 2025 reduce to 32077652 relations and 28082010 ideals in 9 passes
  57. Mon Dec 15 10:38:40 2025 max relations containing the same ideal: 175
  58. Mon Dec 15 10:38:51 2025 removing 4171859 relations and 3171859 ideals in 1000000 cliques
  59. Mon Dec 15 10:38:52 2025 commencing in-memory singleton removal
  60. Mon Dec 15 10:38:53 2025 begin with 27905793 relations and 28082010 unique ideals
  61. Mon Dec 15 10:39:08 2025 reduce to 27469720 relations and 24461270 ideals in 10 passes
  62. Mon Dec 15 10:39:08 2025 max relations containing the same ideal: 156
  63. Mon Dec 15 10:39:16 2025 removing 3953759 relations and 2953759 ideals in 1000000 cliques
  64. Mon Dec 15 10:39:18 2025 commencing in-memory singleton removal
  65. Mon Dec 15 10:39:19 2025 begin with 23515961 relations and 24461270 unique ideals
  66. Mon Dec 15 10:39:28 2025 reduce to 23069565 relations and 21046068 ideals in 8 passes
  67. Mon Dec 15 10:39:28 2025 max relations containing the same ideal: 137
  68. Mon Dec 15 10:39:36 2025 removing 3831059 relations and 2831059 ideals in 1000000 cliques
  69. Mon Dec 15 10:39:37 2025 commencing in-memory singleton removal
  70. Mon Dec 15 10:39:38 2025 begin with 19238506 relations and 21046068 unique ideals
  71. Mon Dec 15 10:39:47 2025 reduce to 18749623 relations and 17706568 ideals in 9 passes
  72. Mon Dec 15 10:39:47 2025 max relations containing the same ideal: 118
  73. Mon Dec 15 10:39:53 2025 removing 3104604 relations and 2323100 ideals in 781504 cliques
  74. Mon Dec 15 10:39:54 2025 commencing in-memory singleton removal
  75. Mon Dec 15 10:39:54 2025 begin with 15645019 relations and 17706568 unique ideals
  76. Mon Dec 15 10:40:01 2025 reduce to 15264091 relations and 14988118 ideals in 9 passes
  77. Mon Dec 15 10:40:01 2025 max relations containing the same ideal: 104
  78. Mon Dec 15 10:40:06 2025 removing 117255 relations and 102833 ideals in 14422 cliques
  79. Mon Dec 15 10:40:07 2025 commencing in-memory singleton removal
  80. Mon Dec 15 10:40:08 2025 begin with 15146836 relations and 14988118 unique ideals
  81. Mon Dec 15 10:40:11 2025 reduce to 15146269 relations and 14884718 ideals in 5 passes
  82. Mon Dec 15 10:40:11 2025 max relations containing the same ideal: 103
  83. Mon Dec 15 10:40:14 2025 relations with 0 large ideals: 17059
  84. Mon Dec 15 10:40:14 2025 relations with 1 large ideals: 2630
  85. Mon Dec 15 10:40:14 2025 relations with 2 large ideals: 21831
  86. Mon Dec 15 10:40:14 2025 relations with 3 large ideals: 180604
  87. Mon Dec 15 10:40:14 2025 relations with 4 large ideals: 823545
  88. Mon Dec 15 10:40:14 2025 relations with 5 large ideals: 2227521
  89. Mon Dec 15 10:40:14 2025 relations with 6 large ideals: 3720457
  90. Mon Dec 15 10:40:14 2025 relations with 7+ large ideals: 8152622
  91. Mon Dec 15 10:40:14 2025 commencing 2-way merge
  92. Mon Dec 15 10:40:21 2025 reduce to 9393785 relation sets and 9132234 unique ideals
  93. Mon Dec 15 10:40:21 2025 commencing full merge
  94. Mon Dec 15 10:43:11 2025 memory use: 1318.8 MB
  95. Mon Dec 15 10:43:12 2025 found 4464356 cycles, need 4454434
  96. Mon Dec 15 10:43:13 2025 weight of 4454434 cycles is about 445471527 (100.01/cycle)
  97. Mon Dec 15 10:43:13 2025 distribution of cycle lengths:
  98. Mon Dec 15 10:43:13 2025 1 relations: 333096
  99. Mon Dec 15 10:43:13 2025 2 relations: 358364
  100. Mon Dec 15 10:43:13 2025 3 relations: 365571
  101. Mon Dec 15 10:43:13 2025 4 relations: 354831
  102. Mon Dec 15 10:43:13 2025 5 relations: 345622
  103. Mon Dec 15 10:43:13 2025 6 relations: 330802
  104. Mon Dec 15 10:43:13 2025 7 relations: 311278
  105. Mon Dec 15 10:43:13 2025 8 relations: 290933
  106. Mon Dec 15 10:43:13 2025 9 relations: 265972
  107. Mon Dec 15 10:43:13 2025 10+ relations: 1497965
  108. Mon Dec 15 10:43:13 2025 heaviest cycle: 28 relations
  109. Mon Dec 15 10:43:14 2025 commencing cycle optimization
  110. Mon Dec 15 10:43:20 2025 start with 35556247 relations
  111. Mon Dec 15 10:44:16 2025 pruned 1325083 relations
  112. Mon Dec 15 10:44:16 2025 memory use: 991.6 MB
  113. Mon Dec 15 10:44:16 2025 distribution of cycle lengths:
  114. Mon Dec 15 10:44:16 2025 1 relations: 333096
  115. Mon Dec 15 10:44:16 2025 2 relations: 364725
  116. Mon Dec 15 10:44:16 2025 3 relations: 377811
  117. Mon Dec 15 10:44:16 2025 4 relations: 366306
  118. Mon Dec 15 10:44:16 2025 5 relations: 358657
  119. Mon Dec 15 10:44:16 2025 6 relations: 342445
  120. Mon Dec 15 10:44:16 2025 7 relations: 323662
  121. Mon Dec 15 10:44:16 2025 8 relations: 301371
  122. Mon Dec 15 10:44:16 2025 9 relations: 273868
  123. Mon Dec 15 10:44:16 2025 10+ relations: 1412493
  124. Mon Dec 15 10:44:16 2025 heaviest cycle: 28 relations
  125. Mon Dec 15 10:44:22 2025 RelProcTime: 1572
  126. Mon Dec 15 10:44:22 2025 elapsed time 00:26:13
  127. Tue Dec 16 07:44:07 2025
  128. Tue Dec 16 07:44:07 2025
  129. Tue Dec 16 07:44:07 2025 Msieve v. 1.54 (SVN unknown)
  130. Tue Dec 16 07:44:07 2025 random seeds: 3079c684 5b66ce9b
  131. Tue Dec 16 07:44:07 2025 factoring 1517164731150609810450730345917088606474228698343100771960623240889294985858555324160384892975922273333133013074669571801793655221711440684136332938312284262546192003799404505228211392530698994914892141716511494659439273793 (223 digits)
  132. Tue Dec 16 07:44:08 2025 no P-1/P+1/ECM available, skipping
  133. Tue Dec 16 07:44:08 2025 commencing number field sieve (223-digit input)
  134. Tue Dec 16 07:44:08 2025 R0: 10719440624731746790254758330812364863
  135. Tue Dec 16 07:44:08 2025 R1: -1
  136. Tue Dec 16 07:44:08 2025 A0: 1
  137. Tue Dec 16 07:44:08 2025 A1: 1
  138. Tue Dec 16 07:44:08 2025 A2: 1
  139. Tue Dec 16 07:44:08 2025 A3: 1
  140. Tue Dec 16 07:44:08 2025 A4: 1
  141. Tue Dec 16 07:44:08 2025 A5: 1
  142. Tue Dec 16 07:44:08 2025 A6: 1
  143. Tue Dec 16 07:44:08 2025 skew 1.34, size 5.115e-11, alpha 2.428, combined = 2.088e-12 rroots = 0
  144. Tue Dec 16 07:44:08 2025
  145. Tue Dec 16 07:44:08 2025 commencing linear algebra
  146. Tue Dec 16 07:44:08 2025 using VBITS=512
  147. Tue Dec 16 07:44:09 2025 read 4454246 cycles
  148. Tue Dec 16 07:44:16 2025 cycles contain 14971963 unique relations
  149. Tue Dec 16 07:45:16 2025 read 14971963 relations
  150. Tue Dec 16 07:45:30 2025 using 20 quadratic characters above 4294917295
  151. Tue Dec 16 07:46:28 2025 building initial matrix
  152. Tue Dec 16 07:48:31 2025 memory use: 1791.8 MB
  153. Tue Dec 16 07:48:32 2025 read 4454246 cycles
  154. Tue Dec 16 07:48:33 2025 matrix is 4454103 x 4454246 (1794.2 MB) with weight 511990298 (114.94/col)
  155. Tue Dec 16 07:48:33 2025 sparse part has weight 421354421 (94.60/col)
  156. Tue Dec 16 07:48:55 2025 filtering completed in 1 passes
  157. Tue Dec 16 07:48:56 2025 matrix is 4454103 x 4454246 (1794.2 MB) with weight 511990298 (114.94/col)
  158. Tue Dec 16 07:48:56 2025 sparse part has weight 421354421 (94.60/col)
  159. Tue Dec 16 07:49:04 2025 matrix starts at (0, 0)
  160. Tue Dec 16 07:49:04 2025 matrix is 4454103 x 4454246 (1794.2 MB) with weight 511990298 (114.94/col)
  161. Tue Dec 16 07:49:04 2025 sparse part has weight 421354421 (94.60/col)
  162. Tue Dec 16 07:49:04 2025 saving the first 496 matrix rows for later
  163. Tue Dec 16 07:49:05 2025 matrix includes 512 packed rows
  164. Tue Dec 16 07:49:08 2025 matrix is 4453607 x 4454246 (1707.6 MB) with weight 360879432 (81.02/col)
  165. Tue Dec 16 07:49:08 2025 sparse part has weight 340742528 (76.50/col)
  166. Tue Dec 16 07:49:08 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  167. Tue Dec 16 07:49:08 2025 selected card has CUDA arch 8.6
  168. Tue Dec 16 07:49:35 2025 commencing Lanczos iteration
  169. Tue Dec 16 07:49:35 2025 memory use: 4842.6 MB
  170. Tue Dec 16 07:49:51 2025 linear algebra at 0.3%, ETA 1h12m
  171. Tue Dec 16 07:49:51 2025 checkpointing every 3810000 dimensions
  172. Tue Dec 16 07:51:19 2025 lanczos halted after 135 iterations (dim = 69028)
  173. Tue Dec 16 07:51:20 2025 BLanczosTime: 432
  174. Tue Dec 16 09:00:18 2025
  175. Tue Dec 16 09:00:18 2025
  176. Tue Dec 16 09:00:18 2025 Msieve v. 1.54 (SVN unknown)
  177. Tue Dec 16 09:00:18 2025 random seeds: b0b180e7 a5ec56fa
  178. Tue Dec 16 09:00:18 2025 factoring 1517164731150609810450730345917088606474228698343100771960623240889294985858555324160384892975922273333133013074669571801793655221711440684136332938312284262546192003799404505228211392530698994914892141716511494659439273793 (223 digits)
  179. Tue Dec 16 09:00:19 2025 no P-1/P+1/ECM available, skipping
  180. Tue Dec 16 09:00:19 2025 commencing number field sieve (223-digit input)
  181. Tue Dec 16 09:00:19 2025 R0: 10719440624731746790254758330812364863
  182. Tue Dec 16 09:00:19 2025 R1: -1
  183. Tue Dec 16 09:00:19 2025 A0: 1
  184. Tue Dec 16 09:00:19 2025 A1: 1
  185. Tue Dec 16 09:00:19 2025 A2: 1
  186. Tue Dec 16 09:00:19 2025 A3: 1
  187. Tue Dec 16 09:00:19 2025 A4: 1
  188. Tue Dec 16 09:00:19 2025 A5: 1
  189. Tue Dec 16 09:00:19 2025 A6: 1
  190. Tue Dec 16 09:00:19 2025 skew 1.34, size 5.115e-11, alpha 2.428, combined = 2.088e-12 rroots = 0
  191. Tue Dec 16 09:00:19 2025
  192. Tue Dec 16 09:00:19 2025 commencing linear algebra
  193. Tue Dec 16 09:00:19 2025 using VBITS=512
  194. Tue Dec 16 09:00:19 2025 skipping matrix build
  195. Tue Dec 16 09:00:23 2025 matrix starts at (0, 0)
  196. Tue Dec 16 09:00:23 2025 matrix is 4454103 x 4454246 (1794.2 MB) with weight 511990298 (114.94/col)
  197. Tue Dec 16 09:00:23 2025 sparse part has weight 421354421 (94.60/col)
  198. Tue Dec 16 09:00:23 2025 saving the first 496 matrix rows for later
  199. Tue Dec 16 09:00:25 2025 matrix includes 512 packed rows
  200. Tue Dec 16 09:00:27 2025 matrix is 4453607 x 4454246 (1707.6 MB) with weight 360879432 (81.02/col)
  201. Tue Dec 16 09:00:27 2025 sparse part has weight 340742528 (76.50/col)
  202. Tue Dec 16 09:00:27 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  203. Tue Dec 16 09:00:27 2025 selected card has CUDA arch 8.6
  204. Tue Dec 16 09:00:53 2025 commencing Lanczos iteration
  205. Tue Dec 16 09:00:54 2025 memory use: 4842.6 MB
  206. Tue Dec 16 09:01:09 2025 linear algebra at 0.3%, ETA 1h12m
  207. Tue Dec 16 09:01:10 2025 checkpointing every 3570000 dimensions
  208. Tue Dec 16 10:39:28 2025 lanczos halted after 8713 iterations (dim = 4453604)
  209. Tue Dec 16 10:40:54 2025 recovered 36 nontrivial dependencies
  210. Tue Dec 16 10:40:54 2025 BLanczosTime: 6035
  211. Tue Dec 16 10:40:54 2025 elapsed time 01:40:36
  212. Tue Dec 16 10:47:05 2025
  213. Tue Dec 16 10:47:05 2025
  214. Tue Dec 16 10:47:05 2025 Msieve v. 1.54 (SVN unknown)
  215. Tue Dec 16 10:47:05 2025 random seeds: ab1e3c8f 8ea3816b
  216. Tue Dec 16 10:47:05 2025 factoring 1517164731150609810450730345917088606474228698343100771960623240889294985858555324160384892975922273333133013074669571801793655221711440684136332938312284262546192003799404505228211392530698994914892141716511494659439273793 (223 digits)
  217. Tue Dec 16 10:47:06 2025 no P-1/P+1/ECM available, skipping
  218. Tue Dec 16 10:47:06 2025 commencing number field sieve (223-digit input)
  219. Tue Dec 16 10:47:06 2025 R0: 10719440624731746790254758330812364863
  220. Tue Dec 16 10:47:06 2025 R1: -1
  221. Tue Dec 16 10:47:06 2025 A0: 1
  222. Tue Dec 16 10:47:06 2025 A1: 1
  223. Tue Dec 16 10:47:06 2025 A2: 1
  224. Tue Dec 16 10:47:06 2025 A3: 1
  225. Tue Dec 16 10:47:06 2025 A4: 1
  226. Tue Dec 16 10:47:06 2025 A5: 1
  227. Tue Dec 16 10:47:06 2025 A6: 1
  228. Tue Dec 16 10:47:06 2025 skew 1.34, size 5.115e-11, alpha 2.428, combined = 2.088e-12 rroots = 0
  229. Tue Dec 16 10:47:06 2025
  230. Tue Dec 16 10:47:06 2025 commencing square root phase
  231. Tue Dec 16 10:47:06 2025 reading relations for dependency 1
  232. Tue Dec 16 10:47:07 2025 read 2226801 cycles
  233. Tue Dec 16 10:47:11 2025 cycles contain 7484030 unique relations
  234. Tue Dec 16 10:48:08 2025 read 7484030 relations
  235. Tue Dec 16 10:48:46 2025 multiplying 7484030 relations
  236. Tue Dec 16 10:52:57 2025 multiply complete, coefficients have about 179.46 million bits
  237. Tue Dec 16 10:52:58 2025 initial square root is modulo 2756129
  238. Tue Dec 16 10:58:01 2025 found factor: 322890411082024475523485776920453779918126852075847260071215112098190002552894463137997
  239. Tue Dec 16 10:58:01 2025 reading relations for dependency 2
  240. Tue Dec 16 10:58:02 2025 read 2226495 cycles
  241. Tue Dec 16 10:58:06 2025 cycles contain 7481914 unique relations
  242. Tue Dec 16 10:58:54 2025 read 7481914 relations
  243. Tue Dec 16 10:59:27 2025 multiplying 7481914 relations
  244. Tue Dec 16 11:03:31 2025 multiply complete, coefficients have about 179.41 million bits
  245. Tue Dec 16 11:03:32 2025 initial square root is modulo 2745151
  246. Tue Dec 16 11:08:20 2025 found factor: 322890411082024475523485776920453779918126852075847260071215112098190002552894463137997
  247. Tue Dec 16 11:08:20 2025 reading relations for dependency 3
  248. Tue Dec 16 11:08:20 2025 read 2226644 cycles
  249. Tue Dec 16 11:08:24 2025 cycles contain 7483138 unique relations
  250. Tue Dec 16 11:09:13 2025 read 7483138 relations
  251. Tue Dec 16 11:09:40 2025 multiplying 7483138 relations
  252. Tue Dec 16 11:13:43 2025 multiply complete, coefficients have about 179.44 million bits
  253. Tue Dec 16 11:13:44 2025 initial square root is modulo 2751829
  254. Tue Dec 16 11:18:39 2025 found factor: 322890411082024475523485776920453779918126852075847260071215112098190002552894463137997
  255. Tue Dec 16 11:18:39 2025 reading relations for dependency 4
  256. Tue Dec 16 11:18:40 2025 read 2227092 cycles
  257. Tue Dec 16 11:18:44 2025 cycles contain 7492920 unique relations
  258. Tue Dec 16 11:19:35 2025 read 7492920 relations
  259. Tue Dec 16 11:20:13 2025 multiplying 7492920 relations
  260. Tue Dec 16 11:24:20 2025 multiply complete, coefficients have about 179.67 million bits
  261. Tue Dec 16 11:24:21 2025 initial square root is modulo 2806093
  262. Tue Dec 16 11:29:25 2025 sqrtTime: 2539
  263. Tue Dec 16 11:29:25 2025 p56 factor: 67390346630982724906145143094674757545133239706809540543
  264. Tue Dec 16 11:29:25 2025 p80 factor: 69723615646412144571460734571853230564901641336707420290554324158548545179257083
  265. Tue Dec 16 11:29:25 2025 p87 factor: 322890411082024475523485776920453779918126852075847260071215112098190002552894463137997
  266. Tue Dec 16 11:29:25 2025 elapsed time 00:42:20
  267.  
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