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gchilders
May 1st, 2026
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  1. Fri May 1 10:22:34 2026
  2. Fri May 1 10:22:34 2026
  3. Fri May 1 10:22:34 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri May 1 10:22:34 2026 random seeds: c41f0a09 23b3e732
  5. Fri May 1 10:22:34 2026 MPI process 0 of 1
  6. Fri May 1 10:22:34 2026 Using 46 OpenMP threads
  7. Fri May 1 10:22:34 2026 factoring 8975584090307013773111739369224270586323348877964545191217614321917289066413705338754734185838464043629521447505745992020947558934124848758878524634643978231033512505892122029371447658947984587451196828065882373941082726456544630368308931 (238 digits)
  8. Fri May 1 10:22:34 2026 no P-1/P+1/ECM available, skipping
  9. Fri May 1 10:22:34 2026 commencing number field sieve (238-digit input)
  10. Fri May 1 10:22:34 2026 R0: 1
  11. Fri May 1 10:22:34 2026 R1: -36881872967171126005221902761261185302798929
  12. Fri May 1 10:22:34 2026 A0: -1674289
  13. Fri May 1 10:22:34 2026 A1: 0
  14. Fri May 1 10:22:34 2026 A2: 0
  15. Fri May 1 10:22:34 2026 A3: 0
  16. Fri May 1 10:22:34 2026 A4: 0
  17. Fri May 1 10:22:34 2026 A5: 0
  18. Fri May 1 10:22:34 2026 A6: 1
  19. Fri May 1 10:22:34 2026 skew 8.41, size 2.927e-13, alpha -2.487, combined = 4.703e-14 rroots = 2
  20. Fri May 1 10:22:34 2026
  21. Fri May 1 10:22:34 2026 commencing relation filtering
  22. Fri May 1 10:22:34 2026 setting target matrix density to 110.0
  23. Fri May 1 10:22:34 2026 estimated available RAM is 773418.9 MB
  24. Fri May 1 10:22:34 2026 commencing duplicate removal, pass 1
  25. Fri May 1 10:23:16 2026 error -15 reading relation 57595280
  26. Fri May 1 10:23:25 2026 error -11 reading relation 70967029
  27. Fri May 1 10:23:29 2026 error -15 reading relation 77972156
  28. Fri May 1 10:23:51 2026 error -1 reading relation 115387467
  29. Fri May 1 10:24:22 2026 error -5 reading relation 164991728
  30. Fri May 1 10:25:09 2026 error -6 reading relation 251895467
  31. Fri May 1 10:25:13 2026 error -15 reading relation 259774753
  32. Fri May 1 10:25:15 2026 skipped 63 relations with b > 2^32
  33. Fri May 1 10:25:15 2026 skipped 567 malformed relations
  34. Fri May 1 10:25:15 2026 found 14978517 hash collisions in 264045920 relations
  35. Fri May 1 10:25:26 2026 added 1218783 free relations
  36. Fri May 1 10:25:26 2026 commencing duplicate removal, pass 2
  37. Fri May 1 10:26:28 2026 found 0 duplicates and 265264703 unique relations
  38. Fri May 1 10:26:28 2026 memory use: 852.8 MB
  39. Fri May 1 10:26:28 2026 reading ideals above 720000
  40. Fri May 1 10:26:28 2026 commencing singleton removal, initial pass
  41. Fri May 1 10:33:08 2026 memory use: 6024.0 MB
  42. Fri May 1 10:33:08 2026 reading all ideals from disk
  43. Fri May 1 10:33:14 2026 memory use: 13098.5 MB
  44. Fri May 1 10:33:26 2026 keeping 251909148 ideals with weight <= 200, target excess is 1371965
  45. Fri May 1 10:33:45 2026 commencing in-memory singleton removal
  46. Fri May 1 10:33:47 2026 begin with 265264703 relations and 251909148 unique ideals
  47. Fri May 1 10:33:57 2026 reduce to 166259524 relations and 142836356 ideals in 15 passes
  48. Fri May 1 10:33:57 2026 max relations containing the same ideal: 152
  49. Fri May 1 10:34:35 2026 removing 12780591 relations and 10780591 ideals in 2000000 cliques
  50. Fri May 1 10:34:40 2026 commencing in-memory singleton removal
  51. Fri May 1 10:34:41 2026 begin with 153478933 relations and 142836356 unique ideals
  52. Fri May 1 10:34:45 2026 reduce to 152679853 relations and 131244044 ideals in 8 passes
  53. Fri May 1 10:34:45 2026 max relations containing the same ideal: 145
  54. Fri May 1 10:35:22 2026 removing 9782077 relations and 7782077 ideals in 2000000 cliques
  55. Fri May 1 10:35:26 2026 commencing in-memory singleton removal
  56. Fri May 1 10:35:27 2026 begin with 142897776 relations and 131244044 unique ideals
  57. Fri May 1 10:35:31 2026 reduce to 142368325 relations and 122925273 ideals in 8 passes
  58. Fri May 1 10:35:31 2026 max relations containing the same ideal: 139
  59. Fri May 1 10:36:06 2026 removing 8873811 relations and 6873811 ideals in 2000000 cliques
  60. Fri May 1 10:36:10 2026 commencing in-memory singleton removal
  61. Fri May 1 10:36:11 2026 begin with 133494514 relations and 122925273 unique ideals
  62. Fri May 1 10:36:14 2026 reduce to 133026151 relations and 115576619 ideals in 7 passes
  63. Fri May 1 10:36:14 2026 max relations containing the same ideal: 133
  64. Fri May 1 10:36:46 2026 removing 8408461 relations and 6408461 ideals in 2000000 cliques
  65. Fri May 1 10:36:50 2026 commencing in-memory singleton removal
  66. Fri May 1 10:36:51 2026 begin with 124617690 relations and 115576619 unique ideals
  67. Fri May 1 10:36:54 2026 reduce to 124167668 relations and 108711828 ideals in 7 passes
  68. Fri May 1 10:36:54 2026 max relations containing the same ideal: 129
  69. Fri May 1 10:37:22 2026 removing 8131494 relations and 6131495 ideals in 2000000 cliques
  70. Fri May 1 10:37:26 2026 commencing in-memory singleton removal
  71. Fri May 1 10:37:26 2026 begin with 116036174 relations and 108711828 unique ideals
  72. Fri May 1 10:37:29 2026 reduce to 115588844 relations and 102126434 ideals in 8 passes
  73. Fri May 1 10:37:29 2026 max relations containing the same ideal: 123
  74. Fri May 1 10:37:57 2026 removing 7960849 relations and 5960849 ideals in 2000000 cliques
  75. Fri May 1 10:38:00 2026 commencing in-memory singleton removal
  76. Fri May 1 10:38:01 2026 begin with 107627995 relations and 102126434 unique ideals
  77. Fri May 1 10:38:04 2026 reduce to 107168528 relations and 95699092 ideals in 9 passes
  78. Fri May 1 10:38:04 2026 max relations containing the same ideal: 118
  79. Fri May 1 10:38:30 2026 removing 7859969 relations and 5859969 ideals in 2000000 cliques
  80. Fri May 1 10:38:33 2026 commencing in-memory singleton removal
  81. Fri May 1 10:38:34 2026 begin with 99308559 relations and 95699092 unique ideals
  82. Fri May 1 10:38:36 2026 reduce to 98831935 relations and 89354670 ideals in 8 passes
  83. Fri May 1 10:38:36 2026 max relations containing the same ideal: 111
  84. Fri May 1 10:39:03 2026 removing 7811287 relations and 5811287 ideals in 2000000 cliques
  85. Fri May 1 10:39:06 2026 commencing in-memory singleton removal
  86. Fri May 1 10:39:07 2026 begin with 91020648 relations and 89354670 unique ideals
  87. Fri May 1 10:39:09 2026 reduce to 90513067 relations and 83026757 ideals in 8 passes
  88. Fri May 1 10:39:09 2026 max relations containing the same ideal: 105
  89. Fri May 1 10:39:31 2026 removing 7802339 relations and 5802339 ideals in 2000000 cliques
  90. Fri May 1 10:39:34 2026 commencing in-memory singleton removal
  91. Fri May 1 10:39:35 2026 begin with 82710728 relations and 83026757 unique ideals
  92. Fri May 1 10:39:37 2026 reduce to 82158555 relations and 76661496 ideals in 8 passes
  93. Fri May 1 10:39:37 2026 max relations containing the same ideal: 102
  94. Fri May 1 10:39:58 2026 removing 7826346 relations and 5826346 ideals in 2000000 cliques
  95. Fri May 1 10:40:01 2026 commencing in-memory singleton removal
  96. Fri May 1 10:40:01 2026 begin with 74332209 relations and 76661496 unique ideals
  97. Fri May 1 10:40:03 2026 reduce to 73722951 relations and 70213060 ideals in 8 passes
  98. Fri May 1 10:40:03 2026 max relations containing the same ideal: 97
  99. Fri May 1 10:40:22 2026 removing 7634534 relations and 5716123 ideals in 1918411 cliques
  100. Fri May 1 10:40:25 2026 commencing in-memory singleton removal
  101. Fri May 1 10:40:25 2026 begin with 66088417 relations and 70213060 unique ideals
  102. Fri May 1 10:40:27 2026 reduce to 65443322 relations and 63837468 ideals in 8 passes
  103. Fri May 1 10:40:27 2026 max relations containing the same ideal: 87
  104. Fri May 1 10:40:45 2026 removing 126257 relations and 111883 ideals in 14374 cliques
  105. Fri May 1 10:40:46 2026 commencing in-memory singleton removal
  106. Fri May 1 10:40:46 2026 begin with 65317065 relations and 63837468 unique ideals
  107. Fri May 1 10:40:47 2026 reduce to 65316924 relations and 63725444 ideals in 5 passes
  108. Fri May 1 10:40:47 2026 max relations containing the same ideal: 87
  109. Fri May 1 10:40:55 2026 relations with 0 large ideals: 49453
  110. Fri May 1 10:40:55 2026 relations with 1 large ideals: 20128
  111. Fri May 1 10:40:55 2026 relations with 2 large ideals: 282582
  112. Fri May 1 10:40:55 2026 relations with 3 large ideals: 1814217
  113. Fri May 1 10:40:55 2026 relations with 4 large ideals: 6343947
  114. Fri May 1 10:40:55 2026 relations with 5 large ideals: 13283294
  115. Fri May 1 10:40:55 2026 relations with 6 large ideals: 17433118
  116. Fri May 1 10:40:55 2026 relations with 7+ large ideals: 26090185
  117. Fri May 1 10:40:55 2026 commencing 2-way merge
  118. Fri May 1 10:41:25 2026 reduce to 42011724 relation sets and 40420244 unique ideals
  119. Fri May 1 10:41:25 2026 commencing full merge
  120. Fri May 1 10:50:42 2026 memory use: 5276.3 MB
  121. Fri May 1 10:50:44 2026 found 19395664 cycles, need 19268444
  122. Fri May 1 10:50:49 2026 weight of 19268444 cycles is about 2119953750 (110.02/cycle)
  123. Fri May 1 10:50:49 2026 distribution of cycle lengths:
  124. Fri May 1 10:50:49 2026 1 relations: 1389546
  125. Fri May 1 10:50:49 2026 2 relations: 1533288
  126. Fri May 1 10:50:49 2026 3 relations: 1580830
  127. Fri May 1 10:50:49 2026 4 relations: 1532784
  128. Fri May 1 10:50:49 2026 5 relations: 1487277
  129. Fri May 1 10:50:49 2026 6 relations: 1428388
  130. Fri May 1 10:50:49 2026 7 relations: 1345587
  131. Fri May 1 10:50:49 2026 8 relations: 1266628
  132. Fri May 1 10:50:49 2026 9 relations: 1164643
  133. Fri May 1 10:50:49 2026 10+ relations: 6539473
  134. Fri May 1 10:50:49 2026 heaviest cycle: 28 relations
  135. Fri May 1 10:50:53 2026 commencing cycle optimization
  136. Fri May 1 10:51:18 2026 start with 153183813 relations
  137. Fri May 1 10:54:44 2026 pruned 5999389 relations
  138. Fri May 1 10:54:44 2026 memory use: 4260.0 MB
  139. Fri May 1 10:54:44 2026 distribution of cycle lengths:
  140. Fri May 1 10:54:44 2026 1 relations: 1389546
  141. Fri May 1 10:54:44 2026 2 relations: 1568652
  142. Fri May 1 10:54:44 2026 3 relations: 1644812
  143. Fri May 1 10:54:44 2026 4 relations: 1589944
  144. Fri May 1 10:54:44 2026 5 relations: 1552311
  145. Fri May 1 10:54:44 2026 6 relations: 1481428
  146. Fri May 1 10:54:44 2026 7 relations: 1402376
  147. Fri May 1 10:54:44 2026 8 relations: 1309743
  148. Fri May 1 10:54:44 2026 9 relations: 1200378
  149. Fri May 1 10:54:44 2026 10+ relations: 6129254
  150. Fri May 1 10:54:44 2026 heaviest cycle: 28 relations
  151. Fri May 1 10:55:03 2026 RelProcTime: 1949
  152. Fri May 1 10:55:03 2026 elapsed time 00:32:29
  153. Fri May 1 10:55:05 2026
  154. Fri May 1 10:55:05 2026
  155. Fri May 1 10:55:05 2026 Msieve v. 1.54 (SVN Unversioned directory)
  156. Fri May 1 10:55:05 2026 random seeds: f30ee7e3 6ca4839d
  157. Fri May 1 10:55:05 2026 MPI process 0 of 1
  158. Fri May 1 10:55:05 2026 Using 46 OpenMP threads
  159. Fri May 1 10:55:05 2026 factoring 8975584090307013773111739369224270586323348877964545191217614321917289066413705338754734185838464043629521447505745992020947558934124848758878524634643978231033512505892122029371447658947984587451196828065882373941082726456544630368308931 (238 digits)
  160. Fri May 1 10:55:06 2026 no P-1/P+1/ECM available, skipping
  161. Fri May 1 10:55:06 2026 commencing number field sieve (238-digit input)
  162. Fri May 1 10:55:06 2026 R0: 1
  163. Fri May 1 10:55:06 2026 R1: -36881872967171126005221902761261185302798929
  164. Fri May 1 10:55:06 2026 A0: -1674289
  165. Fri May 1 10:55:06 2026 A1: 0
  166. Fri May 1 10:55:06 2026 A2: 0
  167. Fri May 1 10:55:06 2026 A3: 0
  168. Fri May 1 10:55:06 2026 A4: 0
  169. Fri May 1 10:55:06 2026 A5: 0
  170. Fri May 1 10:55:06 2026 A6: 1
  171. Fri May 1 10:55:06 2026 skew 8.41, size 2.927e-13, alpha -2.487, combined = 4.703e-14 rroots = 2
  172. Fri May 1 10:55:06 2026
  173. Fri May 1 10:55:06 2026 commencing linear algebra
  174. Fri May 1 10:55:06 2026 using VBITS=256
  175. Fri May 1 10:55:06 2026 stopping after matrix build
  176. Fri May 1 10:55:06 2026 initialized process (0,0) of 1 x 1 grid
  177. Fri May 1 10:55:08 2026 read 19268444 cycles
  178. Fri May 1 10:55:32 2026 cycles contain 64302873 unique relations
  179. Fri May 1 10:55:57 2026 read 64302873 relations
  180. Fri May 1 10:56:03 2026 using 20 quadratic characters above 4294917295
  181. Fri May 1 10:56:10 2026 building initial matrix
  182. Fri May 1 11:05:22 2026 memory use: 8477.5 MB
  183. Fri May 1 11:05:35 2026 read 19268444 cycles
  184. Fri May 1 11:05:37 2026 matrix is 19268265 x 19268444 (8423.3 MB) with weight 2476801236 (128.54/col)
  185. Fri May 1 11:05:37 2026 sparse part has weight 1996169540 (103.60/col)
  186. Fri May 1 11:08:43 2026 filtering completed in 2 passes
  187. Fri May 1 11:08:45 2026 matrix is 19266476 x 19266647 (8423.2 MB) with weight 2476729992 (128.55/col)
  188. Fri May 1 11:08:45 2026 sparse part has weight 1996145287 (103.61/col)
  189. Fri May 1 11:09:21 2026 BLanczosTime: 855
  190. Fri May 1 11:09:21 2026 elapsed time 00:14:16
  191. Fri May 1 11:09:23 2026
  192. Fri May 1 11:09:23 2026
  193. Fri May 1 11:09:23 2026 Msieve v. 1.54 (SVN Unversioned directory)
  194. Fri May 1 11:09:23 2026 random seeds: 521b5c3c 54f25745
  195. Fri May 1 11:09:23 2026 MPI process 0 of 1
  196. Fri May 1 11:09:23 2026 Using 6 OpenMP threads
  197. Fri May 1 11:09:23 2026 factoring 8975584090307013773111739369224270586323348877964545191217614321917289066413705338754734185838464043629521447505745992020947558934124848758878524634643978231033512505892122029371447658947984587451196828065882373941082726456544630368308931 (238 digits)
  198. Fri May 1 11:09:24 2026 no P-1/P+1/ECM available, skipping
  199. Fri May 1 11:09:24 2026 commencing number field sieve (238-digit input)
  200. Fri May 1 11:09:24 2026 R0: 1
  201. Fri May 1 11:09:24 2026 R1: -36881872967171126005221902761261185302798929
  202. Fri May 1 11:09:24 2026 A0: -1674289
  203. Fri May 1 11:09:24 2026 A1: 0
  204. Fri May 1 11:09:24 2026 A2: 0
  205. Fri May 1 11:09:24 2026 A3: 0
  206. Fri May 1 11:09:24 2026 A4: 0
  207. Fri May 1 11:09:24 2026 A5: 0
  208. Fri May 1 11:09:24 2026 A6: 1
  209. Fri May 1 11:09:24 2026 skew 8.41, size 2.927e-13, alpha -2.487, combined = 4.703e-14 rroots = 2
  210. Fri May 1 11:09:24 2026
  211. Fri May 1 11:09:24 2026 commencing linear algebra
  212. Fri May 1 11:09:24 2026 using VBITS=256
  213. Fri May 1 11:09:24 2026 skipping matrix build
  214. Fri May 1 11:09:24 2026 initialized process (0,0) of 1 x 1 grid
  215. Fri May 1 11:09:35 2026 matrix starts at (0, 0)
  216. Fri May 1 11:09:37 2026 matrix is 19266476 x 19266647 (8423.2 MB) with weight 2476729992 (128.55/col)
  217. Fri May 1 11:09:37 2026 sparse part has weight 1996145287 (103.61/col)
  218. Fri May 1 11:09:37 2026 saving the first 240 matrix rows for later
  219. Fri May 1 11:09:41 2026 matrix includes 256 packed rows
  220. Fri May 1 11:09:45 2026 matrix is 19266236 x 19266647 (7780.1 MB) with weight 1824706868 (94.71/col)
  221. Fri May 1 11:09:45 2026 sparse part has weight 1731252930 (89.86/col)
  222. Fri May 1 11:09:45 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  223. Fri May 1 11:09:45 2026 selected card has CUDA arch 8.0
  224. Fri May 1 11:12:04 2026 commencing Lanczos iteration
  225. Fri May 1 11:12:06 2026 memory use: 18720.6 MB
  226. Fri May 1 11:12:43 2026 linear algebra at 0.2%, ETA 6h27m
  227. Fri May 1 11:13:39 2026 checking every 40000 dimensions, checkpointing every 3000000 dimensions
  228. Fri May 1 17:37:59 2026 lanczos halted after 75486 iterations (dim = 19266233)
  229. Fri May 1 17:39:16 2026 recovered 30 nontrivial dependencies
  230. Fri May 1 17:39:16 2026 BLanczosTime: 23392
  231. Fri May 1 17:39:16 2026 elapsed time 06:29:53
  232. Fri May 1 17:39:18 2026
  233. Fri May 1 17:39:18 2026
  234. Fri May 1 17:39:18 2026 Msieve v. 1.54 (SVN Unversioned directory)
  235. Fri May 1 17:39:18 2026 random seeds: b0a1cd07 1a3da79b
  236. Fri May 1 17:39:18 2026 MPI process 0 of 1
  237. Fri May 1 17:39:18 2026 Using 32 OpenMP threads
  238. Fri May 1 17:39:18 2026 factoring 8975584090307013773111739369224270586323348877964545191217614321917289066413705338754734185838464043629521447505745992020947558934124848758878524634643978231033512505892122029371447658947984587451196828065882373941082726456544630368308931 (238 digits)
  239. Fri May 1 17:39:18 2026 no P-1/P+1/ECM available, skipping
  240. Fri May 1 17:39:18 2026 commencing number field sieve (238-digit input)
  241. Fri May 1 17:39:18 2026 R0: 1
  242. Fri May 1 17:39:18 2026 R1: -36881872967171126005221902761261185302798929
  243. Fri May 1 17:39:18 2026 A0: -1674289
  244. Fri May 1 17:39:18 2026 A1: 0
  245. Fri May 1 17:39:18 2026 A2: 0
  246. Fri May 1 17:39:18 2026 A3: 0
  247. Fri May 1 17:39:18 2026 A4: 0
  248. Fri May 1 17:39:18 2026 A5: 0
  249. Fri May 1 17:39:18 2026 A6: 1
  250. Fri May 1 17:39:18 2026 skew 8.41, size 2.927e-13, alpha -2.487, combined = 4.703e-14 rroots = 2
  251. Fri May 1 17:39:18 2026
  252. Fri May 1 17:39:18 2026 commencing square root phase
  253. Fri May 1 17:39:18 2026 reading relations for dependency 1
  254. Fri May 1 17:39:20 2026 read 9635164 cycles
  255. Fri May 1 17:39:36 2026 cycles contain 32159214 unique relations
  256. Fri May 1 17:40:12 2026 read 32159214 relations
  257. Fri May 1 17:42:18 2026 multiplying 32159214 relations
  258. Fri May 1 17:43:54 2026 multiply complete, coefficients have about 897.27 million bits
  259. Fri May 1 17:43:56 2026 initial square root is modulo 112153597
  260. Fri May 1 17:48:40 2026 sqrtTime: 562
  261. Fri May 1 17:48:40 2026 p117 factor: 264228977446532030106731602619634065045130206504479762736876655475264882733559896448331823597461136442192149618222089
  262. Fri May 1 17:48:40 2026 p122 factor: 33968961985341918865994097013347854577939463124731377749794232644905147300085294917473627177005653013935446751801952995179
  263. Fri May 1 17:48:40 2026 elapsed time 00:09:22
  264.  
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