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gchilders
Mar 11th, 2026
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  1. Mon Dec 15 13:57:49 2025
  2. Mon Dec 15 13:57:49 2025
  3. Mon Dec 15 13:57:49 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Dec 15 13:57:49 2025 random seeds: aab11a1f 88f6978f
  5. Mon Dec 15 13:57:49 2025 MPI process 0 of 1
  6. Mon Dec 15 13:57:49 2025 Using 46 OpenMP threads
  7. Mon Dec 15 13:57:49 2025 factoring 82502733834217154413182802741873718139688482372055628879456916471218793487620649697374030532635018299175609468742790931754169219680526719437222677125352222863682749419343568075389257285474064114842273537283778937844909119192122302744003686129990533656666376034727884501286690249348370779974871477687047 (302 digits)
  8. Mon Dec 15 13:57:50 2025 no P-1/P+1/ECM available, skipping
  9. Mon Dec 15 13:57:50 2025 commencing number field sieve (302-digit input)
  10. Mon Dec 15 13:57:50 2025 R0: -66555937033867822607895549241096482953017615834735226163
  11. Mon Dec 15 13:57:50 2025 R1: 1
  12. Mon Dec 15 13:57:50 2025 A0: 3
  13. Mon Dec 15 13:57:50 2025 A1: 0
  14. Mon Dec 15 13:57:50 2025 A2: 0
  15. Mon Dec 15 13:57:50 2025 A3: 0
  16. Mon Dec 15 13:57:50 2025 A4: 0
  17. Mon Dec 15 13:57:50 2025 A5: 0
  18. Mon Dec 15 13:57:50 2025 A6: 1
  19. Mon Dec 15 13:57:50 2025 skew 1.67, size 1.863e-16, alpha 2.596, combined = 1.386e-16 rroots = 0
  20. Mon Dec 15 13:57:50 2025
  21. Mon Dec 15 13:57:50 2025 commencing relation filtering
  22. Mon Dec 15 13:57:50 2025 setting target matrix density to 110.0
  23. Mon Dec 15 13:57:50 2025 estimated available RAM is 1031760.2 MB
  24. Mon Dec 15 13:57:50 2025 commencing duplicate removal, pass 1
  25. Mon Dec 15 14:28:16 2025 skipped 4959693 relations with b > 2^32
  26. Mon Dec 15 14:28:16 2025 skipped 3 relations with composite factors
  27. Mon Dec 15 14:28:16 2025 skipped 9337 malformed relations
  28. Mon Dec 15 14:28:16 2025 found 121953782 hash collisions in 2978637973 relations
  29. Mon Dec 15 14:28:20 2025 added 2437780 free relations
  30. Mon Dec 15 14:28:20 2025 commencing duplicate removal, pass 2
  31. Mon Dec 15 14:40:57 2025 found 0 duplicates and 2981075753 unique relations
  32. Mon Dec 15 14:40:57 2025 memory use: 8870.0 MB
  33. Mon Dec 15 14:40:57 2025 reading ideals above 720000
  34. Mon Dec 15 14:40:57 2025 commencing singleton removal, initial pass
  35. Mon Dec 15 21:28:09 2025 memory use: 66560.0 MB
  36. Mon Dec 15 21:28:10 2025 reading all ideals from disk
  37. Mon Dec 15 21:30:37 2025 memory use: 166567.9 MB
  38. Mon Dec 15 21:36:10 2025 keeping 3219917190 ideals with weight <= 200, target excess is 17950138
  39. Mon Dec 15 21:42:20 2025 commencing in-memory singleton removal
  40. Mon Dec 15 21:42:30 2025 begin with 2981075753 relations and 3219917190 unique ideals
  41. Mon Dec 15 21:44:14 2025 reduce to 1175187966 relations and 1119328269 ideals in 26 passes
  42. Mon Dec 15 21:44:14 2025 max relations containing the same ideal: 115
  43. Mon Dec 15 21:48:14 2025 removing 39394156 relations and 37394156 ideals in 2000000 cliques
  44. Mon Dec 15 21:48:38 2025 commencing in-memory singleton removal
  45. Mon Dec 15 21:48:41 2025 begin with 1135793810 relations and 1119328269 unique ideals
  46. Mon Dec 15 21:49:09 2025 reduce to 1134500831 relations and 1080636570 ideals in 13 passes
  47. Mon Dec 15 21:49:09 2025 max relations containing the same ideal: 114
  48. Mon Dec 15 21:52:41 2025 removing 27993035 relations and 25993035 ideals in 2000000 cliques
  49. Mon Dec 15 21:53:02 2025 commencing in-memory singleton removal
  50. Mon Dec 15 21:53:05 2025 begin with 1106507796 relations and 1080636570 unique ideals
  51. Mon Dec 15 21:53:31 2025 reduce to 1105831153 relations and 1053965052 ideals in 13 passes
  52. Mon Dec 15 21:53:31 2025 max relations containing the same ideal: 111
  53. Mon Dec 15 21:56:56 2025 removing 24336475 relations and 22336475 ideals in 2000000 cliques
  54. Mon Dec 15 21:57:16 2025 commencing in-memory singleton removal
  55. Mon Dec 15 21:57:19 2025 begin with 1081494678 relations and 1053965052 unique ideals
  56. Mon Dec 15 21:57:42 2025 reduce to 1080975069 relations and 1031107720 ideals in 11 passes
  57. Mon Dec 15 21:57:42 2025 max relations containing the same ideal: 109
  58. Mon Dec 15 22:01:17 2025 removing 22234440 relations and 20234440 ideals in 2000000 cliques
  59. Mon Dec 15 22:01:41 2025 commencing in-memory singleton removal
  60. Mon Dec 15 22:01:44 2025 begin with 1058740629 relations and 1031107720 unique ideals
  61. Mon Dec 15 22:02:05 2025 reduce to 1058299711 relations and 1010431312 ideals in 10 passes
  62. Mon Dec 15 22:02:05 2025 max relations containing the same ideal: 108
  63. Mon Dec 15 22:05:31 2025 removing 20796504 relations and 18796504 ideals in 2000000 cliques
  64. Mon Dec 15 22:05:51 2025 commencing in-memory singleton removal
  65. Mon Dec 15 22:05:54 2025 begin with 1037503207 relations and 1010431312 unique ideals
  66. Mon Dec 15 22:06:14 2025 reduce to 1037113540 relations and 991244278 ideals in 10 passes
  67. Mon Dec 15 22:06:14 2025 max relations containing the same ideal: 108
  68. Mon Dec 15 22:09:33 2025 removing 19717289 relations and 17717289 ideals in 2000000 cliques
  69. Mon Dec 15 22:09:53 2025 commencing in-memory singleton removal
  70. Mon Dec 15 22:09:56 2025 begin with 1017396251 relations and 991244278 unique ideals
  71. Mon Dec 15 22:10:16 2025 reduce to 1017040453 relations and 973170356 ideals in 10 passes
  72. Mon Dec 15 22:10:16 2025 max relations containing the same ideal: 106
  73. Mon Dec 15 22:13:27 2025 removing 18871030 relations and 16871030 ideals in 2000000 cliques
  74. Mon Dec 15 22:13:46 2025 commencing in-memory singleton removal
  75. Mon Dec 15 22:13:48 2025 begin with 998169423 relations and 973170356 unique ideals
  76. Mon Dec 15 22:14:08 2025 reduce to 997838119 relations and 955967283 ideals in 10 passes
  77. Mon Dec 15 22:14:08 2025 max relations containing the same ideal: 105
  78. Mon Dec 15 22:17:16 2025 removing 18173073 relations and 16173073 ideals in 2000000 cliques
  79. Mon Dec 15 22:17:35 2025 commencing in-memory singleton removal
  80. Mon Dec 15 22:17:38 2025 begin with 979665046 relations and 955967283 unique ideals
  81. Mon Dec 15 22:17:56 2025 reduce to 979351311 relations and 939479744 ideals in 10 passes
  82. Mon Dec 15 22:17:56 2025 max relations containing the same ideal: 105
  83. Mon Dec 15 22:21:05 2025 removing 17597586 relations and 15597586 ideals in 2000000 cliques
  84. Mon Dec 15 22:21:23 2025 commencing in-memory singleton removal
  85. Mon Dec 15 22:21:25 2025 begin with 961753725 relations and 939479744 unique ideals
  86. Mon Dec 15 22:21:43 2025 reduce to 961456211 relations and 923583950 ideals in 9 passes
  87. Mon Dec 15 22:21:43 2025 max relations containing the same ideal: 103
  88. Mon Dec 15 22:24:43 2025 removing 17102280 relations and 15102280 ideals in 2000000 cliques
  89. Mon Dec 15 22:25:01 2025 commencing in-memory singleton removal
  90. Mon Dec 15 22:25:03 2025 begin with 944353931 relations and 923583950 unique ideals
  91. Mon Dec 15 22:25:20 2025 reduce to 944070425 relations and 908197490 ideals in 9 passes
  92. Mon Dec 15 22:25:20 2025 max relations containing the same ideal: 102
  93. Mon Dec 15 22:28:17 2025 removing 16676329 relations and 14676329 ideals in 2000000 cliques
  94. Mon Dec 15 22:28:34 2025 commencing in-memory singleton removal
  95. Mon Dec 15 22:28:36 2025 begin with 927394096 relations and 908197490 unique ideals
  96. Mon Dec 15 22:28:54 2025 reduce to 927121144 relations and 893247626 ideals in 10 passes
  97. Mon Dec 15 22:28:54 2025 max relations containing the same ideal: 100
  98. Mon Dec 15 22:31:47 2025 removing 16293786 relations and 14293786 ideals in 2000000 cliques
  99. Mon Dec 15 22:32:04 2025 commencing in-memory singleton removal
  100. Mon Dec 15 22:32:06 2025 begin with 910827358 relations and 893247626 unique ideals
  101. Mon Dec 15 22:32:22 2025 reduce to 910563790 relations and 878689623 ideals in 8 passes
  102. Mon Dec 15 22:32:22 2025 max relations containing the same ideal: 99
  103. Mon Dec 15 22:35:11 2025 removing 15971230 relations and 13971230 ideals in 2000000 cliques
  104. Mon Dec 15 22:35:28 2025 commencing in-memory singleton removal
  105. Mon Dec 15 22:35:30 2025 begin with 894592560 relations and 878689623 unique ideals
  106. Mon Dec 15 22:35:46 2025 reduce to 894333882 relations and 864459146 ideals in 9 passes
  107. Mon Dec 15 22:35:46 2025 max relations containing the same ideal: 97
  108. Mon Dec 15 22:38:32 2025 removing 15673299 relations and 13673299 ideals in 2000000 cliques
  109. Mon Dec 15 22:38:47 2025 commencing in-memory singleton removal
  110. Mon Dec 15 22:38:50 2025 begin with 878660583 relations and 864459146 unique ideals
  111. Mon Dec 15 22:39:06 2025 reduce to 878407040 relations and 850531749 ideals in 9 passes
  112. Mon Dec 15 22:39:06 2025 max relations containing the same ideal: 96
  113. Mon Dec 15 22:41:48 2025 removing 15409408 relations and 13409408 ideals in 2000000 cliques
  114. Mon Dec 15 22:42:03 2025 commencing in-memory singleton removal
  115. Mon Dec 15 22:42:06 2025 begin with 862997632 relations and 850531749 unique ideals
  116. Mon Dec 15 22:42:20 2025 reduce to 862750933 relations and 836875053 ideals in 8 passes
  117. Mon Dec 15 22:42:20 2025 max relations containing the same ideal: 94
  118. Mon Dec 15 22:44:59 2025 removing 15178200 relations and 13178200 ideals in 2000000 cliques
  119. Mon Dec 15 22:45:14 2025 commencing in-memory singleton removal
  120. Mon Dec 15 22:45:17 2025 begin with 847572733 relations and 836875053 unique ideals
  121. Mon Dec 15 22:45:31 2025 reduce to 847326865 relations and 823450415 ideals in 8 passes
  122. Mon Dec 15 22:45:31 2025 max relations containing the same ideal: 93
  123. Mon Dec 15 22:48:07 2025 removing 14953418 relations and 12953418 ideals in 2000000 cliques
  124. Mon Dec 15 22:48:22 2025 commencing in-memory singleton removal
  125. Mon Dec 15 22:48:24 2025 begin with 832373447 relations and 823450415 unique ideals
  126. Mon Dec 15 22:48:38 2025 reduce to 832130299 relations and 810253287 ideals in 8 passes
  127. Mon Dec 15 22:48:38 2025 max relations containing the same ideal: 92
  128. Mon Dec 15 22:51:11 2025 removing 8528560 relations and 7473709 ideals in 1054851 cliques
  129. Mon Dec 15 22:51:25 2025 commencing in-memory singleton removal
  130. Mon Dec 15 22:51:27 2025 begin with 823601739 relations and 810253287 unique ideals
  131. Mon Dec 15 22:51:40 2025 reduce to 823524350 relations and 802702087 ideals in 7 passes
  132. Mon Dec 15 22:51:40 2025 max relations containing the same ideal: 91
  133. Mon Dec 15 22:55:16 2025 relations with 0 large ideals: 1430804
  134. Mon Dec 15 22:55:16 2025 relations with 1 large ideals: 1603109
  135. Mon Dec 15 22:55:16 2025 relations with 2 large ideals: 13261166
  136. Mon Dec 15 22:55:16 2025 relations with 3 large ideals: 60465675
  137. Mon Dec 15 22:55:16 2025 relations with 4 large ideals: 160047686
  138. Mon Dec 15 22:55:16 2025 relations with 5 large ideals: 250303531
  139. Mon Dec 15 22:55:16 2025 relations with 6 large ideals: 221538124
  140. Mon Dec 15 22:55:16 2025 relations with 7+ large ideals: 114874255
  141. Mon Dec 15 22:55:16 2025 commencing 2-way merge
  142. Mon Dec 15 22:59:49 2025 reduce to 485697531 relation sets and 464875268 unique ideals
  143. Mon Dec 15 22:59:49 2025 commencing full merge
  144. Tue Dec 16 00:36:19 2025 memory use: 50368.2 MB
  145. Tue Dec 16 00:37:00 2025 found 229308898 cycles, need 226967468
  146. Tue Dec 16 00:38:12 2025 weight of 226967468 cycles is about 24966759405 (110.00/cycle)
  147. Tue Dec 16 00:38:13 2025 distribution of cycle lengths:
  148. Tue Dec 16 00:38:13 2025 1 relations: 21281644
  149. Tue Dec 16 00:38:13 2025 2 relations: 23689346
  150. Tue Dec 16 00:38:13 2025 3 relations: 24273578
  151. Tue Dec 16 00:38:13 2025 4 relations: 21969559
  152. Tue Dec 16 00:38:13 2025 5 relations: 19164255
  153. Tue Dec 16 00:38:13 2025 6 relations: 16926238
  154. Tue Dec 16 00:38:13 2025 7 relations: 14476335
  155. Tue Dec 16 00:38:13 2025 8 relations: 12803484
  156. Tue Dec 16 00:38:13 2025 9 relations: 11173570
  157. Tue Dec 16 00:38:13 2025 10+ relations: 61209459
  158. Tue Dec 16 00:38:13 2025 heaviest cycle: 25 relations
  159. Tue Dec 16 00:38:57 2025 commencing cycle optimization
  160. Tue Dec 16 00:44:29 2025 start with 1591336479 relations
  161. Tue Dec 16 01:19:52 2025 pruned 37341746 relations
  162. Tue Dec 16 01:20:10 2025 memory use: 49815.3 MB
  163. Tue Dec 16 01:20:11 2025 distribution of cycle lengths:
  164. Tue Dec 16 01:20:11 2025 1 relations: 21281644
  165. Tue Dec 16 01:20:11 2025 2 relations: 24212348
  166. Tue Dec 16 01:20:11 2025 3 relations: 25132794
  167. Tue Dec 16 01:20:11 2025 4 relations: 22444025
  168. Tue Dec 16 01:20:11 2025 5 relations: 19585897
  169. Tue Dec 16 01:20:11 2025 6 relations: 17102032
  170. Tue Dec 16 01:20:11 2025 7 relations: 14620341
  171. Tue Dec 16 01:20:11 2025 8 relations: 12825459
  172. Tue Dec 16 01:20:11 2025 9 relations: 11146934
  173. Tue Dec 16 01:20:11 2025 10+ relations: 58615994
  174. Tue Dec 16 01:20:11 2025 heaviest cycle: 25 relations
  175. Tue Dec 16 01:24:43 2025 RelProcTime: 41213
  176. Tue Dec 16 01:24:43 2025 elapsed time 11:26:54
  177. Tue Dec 16 08:55:06 2025
  178. Tue Dec 16 08:55:06 2025
  179. Tue Dec 16 08:55:06 2025 Msieve v. 1.54 (SVN Unversioned directory)
  180. Tue Dec 16 08:55:06 2025 random seeds: 1ad3ef56 c0d4a39f
  181. Tue Dec 16 08:55:06 2025 MPI process 0 of 1
  182. Tue Dec 16 08:55:06 2025 Using 46 OpenMP threads
  183. Tue Dec 16 08:55:06 2025 factoring 82502733834217154413182802741873718139688482372055628879456916471218793487620649697374030532635018299175609468742790931754169219680526719437222677125352222863682749419343568075389257285474064114842273537283778937844909119192122302744003686129990533656666376034727884501286690249348370779974871477687047 (302 digits)
  184. Tue Dec 16 08:55:07 2025 no P-1/P+1/ECM available, skipping
  185. Tue Dec 16 08:55:07 2025 commencing number field sieve (302-digit input)
  186. Tue Dec 16 08:55:07 2025 R0: -66555937033867822607895549241096482953017615834735226163
  187. Tue Dec 16 08:55:07 2025 R1: 1
  188. Tue Dec 16 08:55:07 2025 A0: 3
  189. Tue Dec 16 08:55:07 2025 A1: 0
  190. Tue Dec 16 08:55:07 2025 A2: 0
  191. Tue Dec 16 08:55:07 2025 A3: 0
  192. Tue Dec 16 08:55:07 2025 A4: 0
  193. Tue Dec 16 08:55:07 2025 A5: 0
  194. Tue Dec 16 08:55:07 2025 A6: 1
  195. Tue Dec 16 08:55:07 2025 skew 1.67, size 1.863e-16, alpha 2.596, combined = 1.386e-16 rroots = 0
  196. Tue Dec 16 08:55:07 2025
  197. Tue Dec 16 08:55:07 2025 commencing linear algebra
  198. Tue Dec 16 08:55:07 2025 using VBITS=256
  199. Tue Dec 16 08:55:07 2025 stopping after matrix build
  200. Tue Dec 16 08:55:07 2025 initialized process (0,0) of 1 x 1 grid
  201. Tue Dec 16 08:55:26 2025 read 226967468 cycles
  202. Tue Dec 16 09:00:37 2025 cycles contain 805907983 unique relations
  203. Tue Dec 16 09:04:56 2025 read 805907983 relations
  204. Tue Dec 16 09:06:13 2025 using 20 quadratic characters above 4294917295
  205. Tue Dec 16 09:07:16 2025 building initial matrix
  206. Tue Dec 16 10:48:58 2025 memory use: 106986.6 MB
  207. Tue Dec 16 10:51:46 2025 read 226967468 cycles
  208. Tue Dec 16 10:52:02 2025 matrix is 226967156 x 226967468 (101201.0 MB) with weight 28461127732 (125.40/col)
  209. Tue Dec 16 10:52:02 2025 sparse part has weight 24032590711 (105.89/col)
  210. Tue Dec 16 11:53:05 2025 filtering completed in 3 passes
  211. Tue Dec 16 11:53:45 2025 matrix is 226707876 x 226708076 (101178.2 MB) with weight 28452923164 (125.50/col)
  212. Tue Dec 16 11:53:45 2025 sparse part has weight 24029465831 (105.99/col)
  213. Tue Dec 16 12:00:35 2025 BLanczosTime: 11128
  214. Tue Dec 16 12:00:35 2025 elapsed time 03:05:29
  215. Wed Dec 17 14:04:09 2025
  216. Wed Dec 17 14:04:09 2025
  217. Wed Dec 17 14:04:09 2025 Msieve v. 1.54 (SVN Unversioned directory)
  218. Wed Dec 17 14:04:09 2025 random seeds: 427501d2 41ea37b6
  219. Wed Dec 17 14:04:09 2025 MPI process 0 of 4
  220. Wed Dec 17 14:04:09 2025 Using 15 OpenMP threads
  221. Wed Dec 17 14:04:09 2025 factoring 82502733834217154413182802741873718139688482372055628879456916471218793487620649697374030532635018299175609468742790931754169219680526719437222677125352222863682749419343568075389257285474064114842273537283778937844909119192122302744003686129990533656666376034727884501286690249348370779974871477687047 (302 digits)
  222. Wed Dec 17 14:04:10 2025 no P-1/P+1/ECM available, skipping
  223. Wed Dec 17 14:04:10 2025 commencing number field sieve (302-digit input)
  224. Wed Dec 17 14:04:10 2025 R0: -66555937033867822607895549241096482953017615834735226163
  225. Wed Dec 17 14:04:10 2025 R1: 1
  226. Wed Dec 17 14:04:10 2025 A0: 3
  227. Wed Dec 17 14:04:10 2025 A1: 0
  228. Wed Dec 17 14:04:10 2025 A2: 0
  229. Wed Dec 17 14:04:10 2025 A3: 0
  230. Wed Dec 17 14:04:10 2025 A4: 0
  231. Wed Dec 17 14:04:10 2025 A5: 0
  232. Wed Dec 17 14:04:10 2025 A6: 1
  233. Wed Dec 17 14:04:10 2025 skew 1.67, size 1.863e-16, alpha 2.596, combined = 1.386e-16 rroots = 0
  234. Wed Dec 17 14:04:10 2025
  235. Wed Dec 17 14:04:10 2025 commencing linear algebra
  236. Wed Dec 17 14:04:10 2025 using VBITS=256
  237. Wed Dec 17 14:04:10 2025 skipping matrix build
  238. Wed Dec 17 14:04:10 2025 initialized process (0,0) of 2 x 2 grid
  239. Wed Dec 17 14:06:46 2025 matrix starts at (0, 0)
  240. Wed Dec 17 14:06:54 2025 matrix is 113354058 x 113354161 (29316.2 MB) with weight 8649894630 (76.31/col)
  241. Wed Dec 17 14:06:54 2025 sparse part has weight 6438173754 (56.80/col)
  242. Wed Dec 17 14:06:54 2025 saving the first 240 matrix rows for later
  243. Wed Dec 17 14:07:17 2025 matrix includes 256 packed rows
  244. Wed Dec 17 14:07:35 2025 matrix is 113353818 x 113354161 (26814.1 MB) with weight 5577828331 (49.21/col)
  245. Wed Dec 17 14:07:35 2025 sparse part has weight 5215496879 (46.01/col)
  246. Wed Dec 17 14:07:35 2025 using GPU 0 (NVIDIA H200)
  247. Wed Dec 17 14:07:35 2025 selected card has CUDA arch 9.0
  248. Wed Dec 17 14:17:54 2025 commencing Lanczos iteration
  249. Wed Dec 17 14:17:59 2025 memory use: 63573.7 MB
  250. Wed Dec 17 14:19:08 2025 linear algebra at 0.0%, ETA 133h40m
  251. Wed Dec 17 14:20:45 2025 checking every 20000 dimensions, checkpointing every 1720000 dimensions
  252. Sun Dec 21 16:07:30 2025
  253. Sun Dec 21 16:07:30 2025
  254. Sun Dec 21 16:07:30 2025 Msieve v. 1.54 (SVN Unversioned directory)
  255. Sun Dec 21 16:07:30 2025 random seeds: 70693984 99e1f5c0
  256. Sun Dec 21 16:07:30 2025 MPI process 0 of 4
  257. Sun Dec 21 16:07:30 2025 Using 15 OpenMP threads
  258. Sun Dec 21 16:07:30 2025 factoring 82502733834217154413182802741873718139688482372055628879456916471218793487620649697374030532635018299175609468742790931754169219680526719437222677125352222863682749419343568075389257285474064114842273537283778937844909119192122302744003686129990533656666376034727884501286690249348370779974871477687047 (302 digits)
  259. Sun Dec 21 16:07:31 2025 no P-1/P+1/ECM available, skipping
  260. Sun Dec 21 16:07:31 2025 commencing number field sieve (302-digit input)
  261. Sun Dec 21 16:07:31 2025 R0: -66555937033867822607895549241096482953017615834735226163
  262. Sun Dec 21 16:07:31 2025 R1: 1
  263. Sun Dec 21 16:07:31 2025 A0: 3
  264. Sun Dec 21 16:07:31 2025 A1: 0
  265. Sun Dec 21 16:07:31 2025 A2: 0
  266. Sun Dec 21 16:07:31 2025 A3: 0
  267. Sun Dec 21 16:07:31 2025 A4: 0
  268. Sun Dec 21 16:07:31 2025 A5: 0
  269. Sun Dec 21 16:07:31 2025 A6: 1
  270. Sun Dec 21 16:07:31 2025 skew 1.67, size 1.863e-16, alpha 2.596, combined = 1.386e-16 rroots = 0
  271. Sun Dec 21 16:07:31 2025
  272. Sun Dec 21 16:07:31 2025 commencing linear algebra
  273. Sun Dec 21 16:07:31 2025 using VBITS=256
  274. Sun Dec 21 16:07:32 2025 initialized process (0,0) of 2 x 2 grid
  275. Sun Dec 21 16:09:51 2025 matrix starts at (0, 0)
  276. Sun Dec 21 16:09:57 2025 matrix is 113354058 x 113354161 (29316.2 MB) with weight 8649894630 (76.31/col)
  277. Sun Dec 21 16:09:57 2025 sparse part has weight 6438173754 (56.80/col)
  278. Sun Dec 21 16:09:57 2025 saving the first 240 matrix rows for later
  279. Sun Dec 21 16:10:19 2025 matrix includes 256 packed rows
  280. Sun Dec 21 16:10:38 2025 matrix is 113353818 x 113354161 (26814.1 MB) with weight 5577828331 (49.21/col)
  281. Sun Dec 21 16:10:38 2025 sparse part has weight 5215496879 (46.01/col)
  282. Sun Dec 21 16:10:38 2025 using GPU 0 (NVIDIA H200)
  283. Sun Dec 21 16:10:38 2025 selected card has CUDA arch 9.0
  284. Sun Dec 21 16:20:45 2025 commencing Lanczos iteration
  285. Sun Dec 21 16:20:49 2025 memory use: 63573.7 MB
  286. Sun Dec 21 16:21:46 2025 restarting at iteration 646936 (dim = 165120173)
  287. Sun Dec 21 16:22:53 2025 linear algebra at 72.8%, ETA 37h23m
  288. Sun Dec 21 16:24:30 2025 checking every 20000 dimensions, checkpointing every 1700000 dimensions
  289. Tue Dec 23 04:47:15 2025 lanczos halted after 888234 iterations (dim = 226707636)
  290. Tue Dec 23 04:56:29 2025 recovered 39 nontrivial dependencies
  291. Tue Dec 23 04:56:33 2025 BLanczosTime: 132542
  292. Tue Dec 23 04:56:33 2025 elapsed time 36:49:03
  293. Tue Dec 23 04:56:39 2025
  294. Tue Dec 23 04:56:39 2025
  295. Tue Dec 23 04:56:39 2025 Msieve v. 1.54 (SVN Unversioned directory)
  296. Tue Dec 23 04:56:39 2025 random seeds: 7c5b34eb 25bbd7d5
  297. Tue Dec 23 04:56:39 2025 MPI process 0 of 1
  298. Tue Dec 23 04:56:39 2025 Using 32 OpenMP threads
  299. Tue Dec 23 04:56:39 2025 factoring 82502733834217154413182802741873718139688482372055628879456916471218793487620649697374030532635018299175609468742790931754169219680526719437222677125352222863682749419343568075389257285474064114842273537283778937844909119192122302744003686129990533656666376034727884501286690249348370779974871477687047 (302 digits)
  300. Tue Dec 23 04:56:41 2025 no P-1/P+1/ECM available, skipping
  301. Tue Dec 23 04:56:41 2025 commencing number field sieve (302-digit input)
  302. Tue Dec 23 04:56:41 2025 R0: -66555937033867822607895549241096482953017615834735226163
  303. Tue Dec 23 04:56:41 2025 R1: 1
  304. Tue Dec 23 04:56:41 2025 A0: 3
  305. Tue Dec 23 04:56:41 2025 A1: 0
  306. Tue Dec 23 04:56:41 2025 A2: 0
  307. Tue Dec 23 04:56:41 2025 A3: 0
  308. Tue Dec 23 04:56:41 2025 A4: 0
  309. Tue Dec 23 04:56:41 2025 A5: 0
  310. Tue Dec 23 04:56:41 2025 A6: 1
  311. Tue Dec 23 04:56:41 2025 skew 1.67, size 1.863e-16, alpha 2.596, combined = 1.386e-16 rroots = 0
  312. Tue Dec 23 04:56:41 2025
  313. Tue Dec 23 04:56:41 2025 commencing square root phase
  314. Tue Dec 23 04:56:41 2025 reading relations for dependency 1
  315. Tue Dec 23 04:57:30 2025 read 113349846 cycles
  316. Tue Dec 23 05:04:19 2025 cycles contain 402943254 unique relations
  317. Tue Dec 23 05:17:27 2025 read 402943254 relations
  318. Tue Dec 23 06:11:38 2025 multiplying 402943254 relations
  319. Tue Dec 23 07:05:50 2025 multiply complete, coefficients have about 11861.64 million bits
  320. Tue Dec 23 07:06:42 2025 warning: no irreducible prime found, switching to small primes
  321. Tue Dec 23 07:06:44 2025 initial square root is modulo 53
  322. Tue Dec 23 08:27:49 2025 GCD is N, no factor found
  323. Tue Dec 23 08:27:49 2025 reading relations for dependency 2
  324. Tue Dec 23 08:28:07 2025 read 113365071 cycles
  325. Tue Dec 23 08:30:47 2025 cycles contain 402947168 unique relations
  326. Tue Dec 23 08:34:44 2025 read 402947168 relations
  327. Tue Dec 23 08:56:06 2025 multiplying 402947168 relations
  328. Tue Dec 23 09:20:32 2025 multiply complete, coefficients have about 11861.75 million bits
  329. Tue Dec 23 09:20:53 2025 warning: no irreducible prime found, switching to small primes
  330. Tue Dec 23 09:20:54 2025 initial square root is modulo 53
  331. Tue Dec 23 10:35:34 2025 Newton iteration failed to converge
  332. Tue Dec 23 10:35:34 2025 algebraic square root failed
  333. Tue Dec 23 10:35:34 2025 reading relations for dependency 3
  334. Tue Dec 23 10:35:52 2025 read 113350199 cycles
  335. Tue Dec 23 10:38:24 2025 cycles contain 402933152 unique relations
  336. Tue Dec 23 10:42:31 2025 read 402933152 relations
  337. Tue Dec 23 11:03:55 2025 multiplying 402933152 relations
  338. Tue Dec 23 11:28:18 2025 multiply complete, coefficients have about 11861.36 million bits
  339. Tue Dec 23 11:28:39 2025 warning: no irreducible prime found, switching to small primes
  340. Tue Dec 23 11:28:40 2025 initial square root is modulo 53
  341. Tue Dec 23 12:43:51 2025 Newton iteration failed to converge
  342. Tue Dec 23 12:43:51 2025 algebraic square root failed
  343. Tue Dec 23 12:43:51 2025 reading relations for dependency 4
  344. Tue Dec 23 12:44:09 2025 read 113354807 cycles
  345. Tue Dec 23 12:46:42 2025 cycles contain 402943368 unique relations
  346. Tue Dec 23 12:50:19 2025 read 402943368 relations
  347. Tue Dec 23 13:11:21 2025 multiplying 402943368 relations
  348. Tue Dec 23 13:35:46 2025 multiply complete, coefficients have about 11861.61 million bits
  349. Tue Dec 23 13:36:08 2025 warning: no irreducible prime found, switching to small primes
  350. Tue Dec 23 13:36:09 2025 initial square root is modulo 53
  351. Tue Dec 23 14:51:17 2025 Newton iteration failed to converge
  352. Tue Dec 23 14:51:17 2025 algebraic square root failed
  353. Tue Dec 23 14:51:17 2025 reading relations for dependency 5
  354. Tue Dec 23 14:51:35 2025 read 113346777 cycles
  355. Tue Dec 23 14:54:12 2025 cycles contain 402913514 unique relations
  356. Tue Dec 23 14:57:55 2025 read 402913514 relations
  357. Tue Dec 23 15:19:11 2025 multiplying 402913514 relations
  358. Tue Dec 23 15:43:20 2025 multiply complete, coefficients have about 11860.75 million bits
  359. Tue Dec 23 15:43:41 2025 warning: no irreducible prime found, switching to small primes
  360. Tue Dec 23 15:43:42 2025 initial square root is modulo 53
  361. Tue Dec 23 16:58:27 2025 Newton iteration failed to converge
  362. Tue Dec 23 16:58:27 2025 algebraic square root failed
  363. Tue Dec 23 16:58:27 2025 reading relations for dependency 6
  364. Tue Dec 23 16:58:46 2025 read 113339558 cycles
  365. Tue Dec 23 17:01:32 2025 cycles contain 402915642 unique relations
  366. Tue Dec 23 17:05:29 2025 read 402915642 relations
  367. Tue Dec 23 17:26:35 2025 multiplying 402915642 relations
  368. Tue Dec 23 17:50:58 2025 multiply complete, coefficients have about 11860.81 million bits
  369. Tue Dec 23 17:51:20 2025 warning: no irreducible prime found, switching to small primes
  370. Tue Dec 23 17:51:21 2025 initial square root is modulo 53
  371. Tue Dec 23 19:06:02 2025 Newton iteration failed to converge
  372. Tue Dec 23 19:06:02 2025 algebraic square root failed
  373. Tue Dec 23 19:06:02 2025 reading relations for dependency 7
  374. Tue Dec 23 19:06:20 2025 read 113358031 cycles
  375. Tue Dec 23 19:08:53 2025 cycles contain 402939102 unique relations
  376. Tue Dec 23 19:12:36 2025 read 402939102 relations
  377. Tue Dec 23 19:34:09 2025 multiplying 402939102 relations
  378. Tue Dec 23 19:58:49 2025 multiply complete, coefficients have about 11861.50 million bits
  379. Tue Dec 23 19:59:11 2025 warning: no irreducible prime found, switching to small primes
  380. Tue Dec 23 19:59:12 2025 initial square root is modulo 53
  381. Tue Dec 23 21:14:09 2025 GCD is N, no factor found
  382. Tue Dec 23 21:14:09 2025 reading relations for dependency 8
  383. Tue Dec 23 21:14:28 2025 read 113363668 cycles
  384. Tue Dec 23 21:17:09 2025 cycles contain 403008514 unique relations
  385. Tue Dec 23 21:21:14 2025 read 403008514 relations
  386. Tue Dec 23 21:43:05 2025 multiplying 403008514 relations
  387. Tue Dec 23 22:07:21 2025 multiply complete, coefficients have about 11863.53 million bits
  388. Tue Dec 23 22:07:43 2025 warning: no irreducible prime found, switching to small primes
  389. Tue Dec 23 22:07:44 2025 initial square root is modulo 53
  390. Tue Dec 23 23:29:40 2025 Newton iteration failed to converge
  391. Tue Dec 23 23:29:40 2025 algebraic square root failed
  392. Tue Dec 23 23:29:40 2025 reading relations for dependency 9
  393. Tue Dec 23 23:30:26 2025 read 113338664 cycles
  394. Tue Dec 23 23:37:37 2025 cycles contain 402905694 unique relations
  395. Tue Dec 23 23:46:27 2025 read 402905694 relations
  396. Wed Dec 24 00:38:43 2025 multiplying 402905694 relations
  397. Wed Dec 24 01:32:47 2025 multiply complete, coefficients have about 11860.52 million bits
  398. Wed Dec 24 01:33:40 2025 warning: no irreducible prime found, switching to small primes
  399. Wed Dec 24 01:33:42 2025 initial square root is modulo 53
  400. Wed Dec 24 04:34:58 2025 Newton iteration failed to converge
  401. Wed Dec 24 04:34:58 2025 algebraic square root failed
  402. Wed Dec 24 04:34:58 2025 reading relations for dependency 10
  403. Wed Dec 24 04:35:42 2025 read 113357785 cycles
  404. Wed Dec 24 04:42:31 2025 cycles contain 402938432 unique relations
  405. Wed Dec 24 04:51:05 2025 read 402938432 relations
  406. Wed Dec 24 05:45:21 2025 multiplying 402938432 relations
  407. Wed Dec 24 06:38:11 2025 multiply complete, coefficients have about 11861.51 million bits
  408. Wed Dec 24 06:39:04 2025 warning: no irreducible prime found, switching to small primes
  409. Wed Dec 24 06:39:06 2025 initial square root is modulo 53
  410. Wed Dec 24 09:45:20 2025 Newton iteration failed to converge
  411. Wed Dec 24 09:45:20 2025 algebraic square root failed
  412. Wed Dec 24 09:45:20 2025 reading relations for dependency 11
  413. Wed Dec 24 09:46:05 2025 read 113359210 cycles
  414. Wed Dec 24 09:52:32 2025 cycles contain 402956164 unique relations
  415. Wed Dec 24 10:00:56 2025 read 402956164 relations
  416. Wed Dec 24 10:54:27 2025 multiplying 402956164 relations
  417. Wed Dec 24 11:47:48 2025 multiply complete, coefficients have about 11861.98 million bits
  418. Wed Dec 24 11:48:40 2025 warning: no irreducible prime found, switching to small primes
  419. Wed Dec 24 11:48:43 2025 initial square root is modulo 53
  420. Wed Dec 24 14:54:28 2025 Newton iteration failed to converge
  421. Wed Dec 24 14:54:28 2025 algebraic square root failed
  422. Wed Dec 24 14:54:28 2025 reading relations for dependency 12
  423. Wed Dec 24 14:55:12 2025 read 113345847 cycles
  424. Wed Dec 24 15:01:12 2025 cycles contain 402951924 unique relations
  425. Wed Dec 24 15:10:06 2025 read 402951924 relations
  426. Wed Dec 24 16:05:20 2025 multiplying 402951924 relations
  427. Wed Dec 24 17:00:38 2025 multiply complete, coefficients have about 11861.87 million bits
  428. Wed Dec 24 17:01:32 2025 warning: no irreducible prime found, switching to small primes
  429. Wed Dec 24 17:01:34 2025 initial square root is modulo 53
  430. Wed Dec 24 20:03:42 2025 Newton iteration failed to converge
  431. Wed Dec 24 20:03:42 2025 algebraic square root failed
  432. Wed Dec 24 20:03:42 2025 reading relations for dependency 13
  433. Wed Dec 24 20:04:26 2025 read 113356503 cycles
  434. Wed Dec 24 20:10:10 2025 cycles contain 402936086 unique relations
  435. Wed Dec 24 20:19:46 2025 read 402936086 relations
  436. Wed Dec 24 21:10:01 2025 multiplying 402936086 relations
  437. Wed Dec 24 22:02:51 2025 multiply complete, coefficients have about 11861.39 million bits
  438. Wed Dec 24 22:03:43 2025 warning: no irreducible prime found, switching to small primes
  439. Wed Dec 24 22:03:45 2025 initial square root is modulo 53
  440. Thu Dec 25 01:06:20 2025 Newton iteration failed to converge
  441. Thu Dec 25 01:06:20 2025 algebraic square root failed
  442. Thu Dec 25 01:06:20 2025 reading relations for dependency 14
  443. Thu Dec 25 01:07:05 2025 read 113355135 cycles
  444. Thu Dec 25 01:13:01 2025 cycles contain 402949278 unique relations
  445. Thu Dec 25 01:23:11 2025 read 402949278 relations
  446. Thu Dec 25 02:13:39 2025 multiplying 402949278 relations
  447. Thu Dec 25 03:06:08 2025 multiply complete, coefficients have about 11861.76 million bits
  448. Thu Dec 25 03:06:59 2025 warning: no irreducible prime found, switching to small primes
  449. Thu Dec 25 03:07:02 2025 initial square root is modulo 53
  450. Thu Dec 25 09:10:20 2025
  451. Thu Dec 25 09:10:20 2025
  452. Thu Dec 25 09:10:20 2025 Msieve v. 1.54 (SVN Unversioned directory)
  453. Thu Dec 25 09:10:20 2025 random seeds: ed9c8110 62bf63dd
  454. Thu Dec 25 09:10:20 2025 MPI process 0 of 1
  455. Thu Dec 25 09:10:20 2025 Using 32 OpenMP threads
  456. Thu Dec 25 09:10:20 2025 factoring 82502733834217154413182802741873718139688482372055628879456916471218793487620649697374030532635018299175609468742790931754169219680526719437222677125352222863682749419343568075389257285474064114842273537283778937844909119192122302744003686129990533656666376034727884501286690249348370779974871477687047 (302 digits)
  457. Thu Dec 25 09:10:22 2025 no P-1/P+1/ECM available, skipping
  458. Thu Dec 25 09:10:22 2025 commencing number field sieve (302-digit input)
  459. Thu Dec 25 09:10:22 2025 R0: -66555937033867822607895549241096482953017615834735226163
  460. Thu Dec 25 09:10:22 2025 R1: 1
  461. Thu Dec 25 09:10:22 2025 A0: 3
  462. Thu Dec 25 09:10:22 2025 A1: 0
  463. Thu Dec 25 09:10:22 2025 A2: 0
  464. Thu Dec 25 09:10:22 2025 A3: 0
  465. Thu Dec 25 09:10:22 2025 A4: 0
  466. Thu Dec 25 09:10:22 2025 A5: 0
  467. Thu Dec 25 09:10:22 2025 A6: 1
  468. Thu Dec 25 09:10:22 2025 skew 1.67, size 1.863e-16, alpha 2.596, combined = 1.386e-16 rroots = 0
  469. Thu Dec 25 09:10:22 2025
  470. Thu Dec 25 09:10:22 2025 commencing square root phase
  471. Thu Dec 25 09:10:22 2025 handling dependencies 14 to 64
  472. Thu Dec 25 09:10:22 2025 reading relations for dependency 14
  473. Thu Dec 25 09:10:59 2025 read 113355135 cycles
  474. Thu Dec 25 09:15:32 2025 cycles contain 402949278 unique relations
  475. Thu Dec 25 09:26:26 2025 read 402949278 relations
  476. Thu Dec 25 10:08:22 2025 multiplying 402949278 relations
  477. Thu Dec 25 10:48:40 2025 multiply complete, coefficients have about 11861.76 million bits
  478. Thu Dec 25 10:49:30 2025 warning: no irreducible prime found, switching to small primes
  479. Thu Dec 25 10:49:32 2025 initial square root is modulo 53
  480. Thu Dec 25 13:00:01 2025 Newton iteration failed to converge
  481. Thu Dec 25 13:00:01 2025 algebraic square root failed
  482. Thu Dec 25 13:00:01 2025 reading relations for dependency 15
  483. Thu Dec 25 13:00:37 2025 read 113360737 cycles
  484. Thu Dec 25 13:05:06 2025 cycles contain 402952234 unique relations
  485. Thu Dec 25 13:15:43 2025 read 402952234 relations
  486. Thu Dec 25 13:59:49 2025 multiplying 402952234 relations
  487. Thu Dec 25 14:39:25 2025 multiply complete, coefficients have about 11861.90 million bits
  488. Thu Dec 25 14:40:15 2025 warning: no irreducible prime found, switching to small primes
  489. Thu Dec 25 14:40:16 2025 initial square root is modulo 53
  490. Thu Dec 25 16:50:25 2025 Newton iteration failed to converge
  491. Thu Dec 25 16:50:25 2025 algebraic square root failed
  492. Thu Dec 25 16:50:25 2025 reading relations for dependency 16
  493. Thu Dec 25 16:51:00 2025 read 113355072 cycles
  494. Thu Dec 25 16:54:59 2025 cycles contain 402917250 unique relations
  495. Thu Dec 25 17:05:53 2025 read 402917250 relations
  496. Thu Dec 25 17:46:59 2025 multiplying 402917250 relations
  497. Thu Dec 25 18:27:04 2025 multiply complete, coefficients have about 11860.86 million bits
  498. Thu Dec 25 18:27:56 2025 warning: no irreducible prime found, switching to small primes
  499. Thu Dec 25 18:27:57 2025 initial square root is modulo 53
  500. Thu Dec 25 20:39:37 2025 sqrtTime: 41355
  501. Thu Dec 25 20:39:37 2025 p146 factor: 12375057124246078405717526339253236226632087800929071003376009406165775158849763406114910400542258252605150065201033845587842413041673980195549403
  502. Thu Dec 25 20:39:37 2025 p157 factor: 6666856807680670946921578519445126714104318729094320456500932653414024778893160192550229557959025566162574852584782887682750862262510549521076926127815342149
  503. Thu Dec 25 20:39:37 2025 elapsed time 11:29:17
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