kyleaskine

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Apr 14th, 2026
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  1. Mon Apr 13 15:13:26 2026
  2. Mon Apr 13 15:13:26 2026
  3. Mon Apr 13 15:13:26 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Apr 13 15:13:26 2026 random seeds: 936c7e9b 66ec8deb
  5. Mon Apr 13 15:13:26 2026 Using 8 OpenMP threads
  6. Mon Apr 13 15:13:26 2026 factoring 816932851866781459569541445894164959881503304367384322946997641913841095771506626098855875924860093082795787950127271139792922860785658961192922609741383981958688008233548769078785673218459093209281125432692002288382131659453503124405919294792235649 (249 digits)
  7. Mon Apr 13 15:13:26 2026 searching for 15-digit factors
  8. Mon Apr 13 15:13:26 2026 commencing number field sieve (249-digit input)
  9. Mon Apr 13 15:13:26 2026 R0: 1
  10. Mon Apr 13 15:13:26 2026 R1: -35088445746427365591953667859821524027762681
  11. Mon Apr 13 15:13:26 2026 A0: -41
  12. Mon Apr 13 15:13:26 2026 A1: 0
  13. Mon Apr 13 15:13:26 2026 A2: 0
  14. Mon Apr 13 15:13:26 2026 A3: 0
  15. Mon Apr 13 15:13:26 2026 A4: 0
  16. Mon Apr 13 15:13:26 2026 A5: 0
  17. Mon Apr 13 15:13:26 2026 A6: 1
  18. Mon Apr 13 15:13:26 2026 skew 1.43, size 5.971e-13, alpha 1.262, combined = 7.862e-14 rroots = 2
  19. Mon Apr 13 15:13:26 2026
  20. Mon Apr 13 15:13:26 2026 commencing relation filtering
  21. Mon Apr 13 15:13:26 2026 target densities: 80 100 120 140
  22. Mon Apr 13 15:13:26 2026 estimated available RAM is 78540.1 MB
  23. Mon Apr 13 15:13:26 2026 commencing duplicate removal, pass 1
  24. Mon Apr 13 15:14:09 2026 error -1 reading relation 17373819
  25. Mon Apr 13 15:16:18 2026 error -1 reading relation 71057281
  26. Mon Apr 13 15:16:20 2026 error -1 reading relation 72062591
  27. Mon Apr 13 15:18:24 2026 error -1 reading relation 122739323
  28. Mon Apr 13 15:18:26 2026 error -1 reading relation 123357198
  29. Mon Apr 13 15:18:34 2026 error -1 reading relation 126267270
  30. Mon Apr 13 15:18:35 2026 error -1 reading relation 126490537
  31. Mon Apr 13 15:19:14 2026 error -1 reading relation 139949966
  32. Mon Apr 13 15:22:19 2026 error -1 reading relation 209863551
  33. Mon Apr 13 15:22:22 2026 error -1 reading relation 210903951
  34. Mon Apr 13 15:22:36 2026 error -1 reading relation 216016875
  35. Mon Apr 13 15:22:36 2026 error -1 reading relation 216238279
  36. Mon Apr 13 15:22:39 2026 error -1 reading relation 217451525
  37. Mon Apr 13 15:23:00 2026 error -1 reading relation 226660261
  38. Mon Apr 13 15:23:13 2026 error -1 reading relation 232111184
  39. Mon Apr 13 15:23:33 2026 error -1 reading relation 240078690
  40. Mon Apr 13 15:23:47 2026 error -1 reading relation 245987253
  41. Mon Apr 13 15:24:04 2026 error -1 reading relation 253540334
  42. Mon Apr 13 15:25:19 2026 error -1 reading relation 284296603
  43. Mon Apr 13 15:25:20 2026 error -1 reading relation 284854439
  44. Mon Apr 13 15:26:16 2026 error -1 reading relation 319171045
  45. Mon Apr 13 15:26:28 2026 error -1 reading relation 328578020
  46. Mon Apr 13 15:26:50 2026 error -15 reading relation 343872892
  47. Mon Apr 13 15:26:50 2026 error -1 reading relation 343875933
  48. Mon Apr 13 15:26:59 2026 skipped 576 relations with b > 2^32
  49. Mon Apr 13 15:26:59 2026 skipped 1 relations with composite factors
  50. Mon Apr 13 15:26:59 2026 skipped 365 malformed relations
  51. Mon Apr 13 15:26:59 2026 found 69080085 hash collisions in 350451489 relations
  52. Mon Apr 13 15:27:06 2026 added 1218646 free relations
  53. Mon Apr 13 15:27:06 2026 commencing duplicate removal, pass 2
  54. Mon Apr 13 15:29:39 2026 found 70387159 duplicates and 281282976 unique relations
  55. Mon Apr 13 15:29:39 2026 memory use: 1705.5 MB
  56. Mon Apr 13 15:29:39 2026 reading ideals above 720000
  57. Mon Apr 13 15:29:39 2026 commencing singleton removal, initial pass
  58. Mon Apr 13 15:47:52 2026 memory use: 6024.0 MB
  59. Mon Apr 13 15:47:52 2026 reading all ideals from disk
  60. Mon Apr 13 15:48:00 2026 memory use: 13784.0 MB
  61. Mon Apr 13 15:48:20 2026 keeping 255221296 ideals with weight <= 200, target excess is 1475482
  62. Mon Apr 13 15:48:49 2026 commencing in-memory singleton removal
  63. Mon Apr 13 15:48:54 2026 begin with 281282976 relations and 255221296 unique ideals
  64. Mon Apr 13 15:49:38 2026 reduce to 187112284 relations and 152295334 ideals in 15 passes
  65. Mon Apr 13 15:49:38 2026 max relations containing the same ideal: 163
  66. Mon Apr 13 15:50:36 2026 removing 11765533 relations and 9765533 ideals in 2000000 cliques
  67. Mon Apr 13 15:50:40 2026 commencing in-memory singleton removal
  68. Mon Apr 13 15:50:43 2026 begin with 175346751 relations and 152295334 unique ideals
  69. Mon Apr 13 15:51:01 2026 reduce to 174764589 relations and 141939390 ideals in 8 passes
  70. Mon Apr 13 15:51:01 2026 max relations containing the same ideal: 156
  71. Mon Apr 13 15:51:53 2026 removing 9006656 relations and 7006656 ideals in 2000000 cliques
  72. Mon Apr 13 15:51:56 2026 commencing in-memory singleton removal
  73. Mon Apr 13 15:51:59 2026 begin with 165757933 relations and 141939390 unique ideals
  74. Mon Apr 13 15:52:12 2026 reduce to 165372764 relations and 134542863 ideals in 8 passes
  75. Mon Apr 13 15:52:12 2026 max relations containing the same ideal: 149
  76. Mon Apr 13 15:52:56 2026 removing 8159666 relations and 6159666 ideals in 2000000 cliques
  77. Mon Apr 13 15:52:59 2026 commencing in-memory singleton removal
  78. Mon Apr 13 15:53:01 2026 begin with 157213098 relations and 134542863 unique ideals
  79. Mon Apr 13 15:53:12 2026 reduce to 156874880 relations and 128040893 ideals in 7 passes
  80. Mon Apr 13 15:53:12 2026 max relations containing the same ideal: 144
  81. Mon Apr 13 15:53:54 2026 removing 7717184 relations and 5717184 ideals in 2000000 cliques
  82. Mon Apr 13 15:53:56 2026 commencing in-memory singleton removal
  83. Mon Apr 13 15:53:58 2026 begin with 149157696 relations and 128040893 unique ideals
  84. Mon Apr 13 15:54:09 2026 reduce to 148839496 relations and 122001693 ideals in 7 passes
  85. Mon Apr 13 15:54:09 2026 max relations containing the same ideal: 139
  86. Mon Apr 13 15:54:49 2026 removing 7441239 relations and 5441239 ideals in 2000000 cliques
  87. Mon Apr 13 15:54:51 2026 commencing in-memory singleton removal
  88. Mon Apr 13 15:54:53 2026 begin with 141398257 relations and 122001693 unique ideals
  89. Mon Apr 13 15:55:03 2026 reduce to 141089245 relations and 116247531 ideals in 7 passes
  90. Mon Apr 13 15:55:03 2026 max relations containing the same ideal: 132
  91. Mon Apr 13 15:55:41 2026 removing 7262758 relations and 5262758 ideals in 2000000 cliques
  92. Mon Apr 13 15:55:43 2026 commencing in-memory singleton removal
  93. Mon Apr 13 15:55:45 2026 begin with 133826487 relations and 116247531 unique ideals
  94. Mon Apr 13 15:55:54 2026 reduce to 133519006 relations and 110673295 ideals in 7 passes
  95. Mon Apr 13 15:55:54 2026 max relations containing the same ideal: 129
  96. Mon Apr 13 15:56:30 2026 removing 7137735 relations and 5137735 ideals in 2000000 cliques
  97. Mon Apr 13 15:56:32 2026 commencing in-memory singleton removal
  98. Mon Apr 13 15:56:34 2026 begin with 126381271 relations and 110673295 unique ideals
  99. Mon Apr 13 15:56:42 2026 reduce to 126068905 relations and 105218910 ideals in 7 passes
  100. Mon Apr 13 15:56:42 2026 max relations containing the same ideal: 125
  101. Mon Apr 13 15:57:17 2026 removing 7054579 relations and 5054579 ideals in 2000000 cliques
  102. Mon Apr 13 15:57:19 2026 commencing in-memory singleton removal
  103. Mon Apr 13 15:57:21 2026 begin with 119014326 relations and 105218910 unique ideals
  104. Mon Apr 13 15:57:28 2026 reduce to 118694971 relations and 99840416 ideals in 7 passes
  105. Mon Apr 13 15:57:28 2026 max relations containing the same ideal: 123
  106. Mon Apr 13 15:58:01 2026 removing 7002570 relations and 5002570 ideals in 2000000 cliques
  107. Mon Apr 13 15:58:03 2026 commencing in-memory singleton removal
  108. Mon Apr 13 15:58:05 2026 begin with 111692401 relations and 99840416 unique ideals
  109. Mon Apr 13 15:58:11 2026 reduce to 111363310 relations and 94503680 ideals in 6 passes
  110. Mon Apr 13 15:58:11 2026 max relations containing the same ideal: 115
  111. Mon Apr 13 15:58:42 2026 removing 6970552 relations and 4970552 ideals in 2000000 cliques
  112. Mon Apr 13 15:58:44 2026 commencing in-memory singleton removal
  113. Mon Apr 13 15:58:45 2026 begin with 104392758 relations and 94503680 unique ideals
  114. Mon Apr 13 15:58:52 2026 reduce to 104047096 relations and 89182034 ideals in 7 passes
  115. Mon Apr 13 15:58:52 2026 max relations containing the same ideal: 109
  116. Mon Apr 13 15:59:22 2026 removing 6968777 relations and 4968777 ideals in 2000000 cliques
  117. Mon Apr 13 15:59:24 2026 commencing in-memory singleton removal
  118. Mon Apr 13 15:59:25 2026 begin with 97078319 relations and 89182034 unique ideals
  119. Mon Apr 13 15:59:31 2026 reduce to 96711997 relations and 83840633 ideals in 7 passes
  120. Mon Apr 13 15:59:31 2026 max relations containing the same ideal: 104
  121. Mon Apr 13 15:59:58 2026 removing 6982549 relations and 4982549 ideals in 2000000 cliques
  122. Mon Apr 13 16:00:00 2026 commencing in-memory singleton removal
  123. Mon Apr 13 16:00:01 2026 begin with 89729448 relations and 83840633 unique ideals
  124. Mon Apr 13 16:00:07 2026 reduce to 89334254 relations and 78455706 ideals in 7 passes
  125. Mon Apr 13 16:00:07 2026 max relations containing the same ideal: 99
  126. Mon Apr 13 16:00:32 2026 removing 7017740 relations and 5017740 ideals in 2000000 cliques
  127. Mon Apr 13 16:00:34 2026 commencing in-memory singleton removal
  128. Mon Apr 13 16:00:35 2026 begin with 82316514 relations and 78455706 unique ideals
  129. Mon Apr 13 16:00:41 2026 reduce to 81887010 relations and 73000002 ideals in 7 passes
  130. Mon Apr 13 16:00:41 2026 max relations containing the same ideal: 94
  131. Mon Apr 13 16:01:04 2026 removing 7074139 relations and 5074139 ideals in 2000000 cliques
  132. Mon Apr 13 16:01:06 2026 commencing in-memory singleton removal
  133. Mon Apr 13 16:01:07 2026 begin with 74812871 relations and 73000002 unique ideals
  134. Mon Apr 13 16:01:12 2026 reduce to 74334168 relations and 67437086 ideals in 7 passes
  135. Mon Apr 13 16:01:12 2026 max relations containing the same ideal: 89
  136. Mon Apr 13 16:01:33 2026 removing 7161699 relations and 5161699 ideals in 2000000 cliques
  137. Mon Apr 13 16:01:35 2026 commencing in-memory singleton removal
  138. Mon Apr 13 16:01:36 2026 begin with 67172469 relations and 67437086 unique ideals
  139. Mon Apr 13 16:01:40 2026 reduce to 66632432 relations and 61722840 ideals in 8 passes
  140. Mon Apr 13 16:01:40 2026 max relations containing the same ideal: 84
  141. Mon Apr 13 16:02:01 2026 removing 7272533 relations and 5272533 ideals in 2000000 cliques
  142. Mon Apr 13 16:02:02 2026 commencing in-memory singleton removal
  143. Mon Apr 13 16:02:03 2026 begin with 59359899 relations and 61722840 unique ideals
  144. Mon Apr 13 16:02:08 2026 reduce to 58731840 relations and 55806241 ideals in 9 passes
  145. Mon Apr 13 16:02:08 2026 max relations containing the same ideal: 77
  146. Mon Apr 13 16:02:25 2026 removing 4984333 relations and 3770294 ideals in 1214039 cliques
  147. Mon Apr 13 16:02:27 2026 commencing in-memory singleton removal
  148. Mon Apr 13 16:02:27 2026 begin with 53747507 relations and 55806241 unique ideals
  149. Mon Apr 13 16:02:31 2026 reduce to 53424029 relations and 51706646 ideals in 9 passes
  150. Mon Apr 13 16:02:31 2026 max relations containing the same ideal: 71
  151. Mon Apr 13 16:02:51 2026 relations with 0 large ideals: 54276
  152. Mon Apr 13 16:02:51 2026 relations with 1 large ideals: 28356
  153. Mon Apr 13 16:02:51 2026 relations with 2 large ideals: 375105
  154. Mon Apr 13 16:02:51 2026 relations with 3 large ideals: 2189201
  155. Mon Apr 13 16:02:51 2026 relations with 4 large ideals: 6830939
  156. Mon Apr 13 16:02:51 2026 relations with 5 large ideals: 12615542
  157. Mon Apr 13 16:02:51 2026 relations with 6 large ideals: 14365506
  158. Mon Apr 13 16:02:51 2026 relations with 7+ large ideals: 16965104
  159. Mon Apr 13 16:02:51 2026 commencing 2-way merge
  160. Mon Apr 13 16:03:16 2026 reduce to 34286456 relation sets and 32569073 unique ideals
  161. Mon Apr 13 16:03:18 2026
  162. Mon Apr 13 16:03:18 2026 trying target density 80
  163. Mon Apr 13 16:03:18 2026 commencing full merge
  164. Mon Apr 13 16:09:45 2026 memory use: 4027.8 MB
  165. Mon Apr 13 16:09:48 2026 found 17681237 cycles, need 17443273
  166. Mon Apr 13 16:09:52 2026 weight of 17443273 cycles is about 1395894107 (80.02/cycle)
  167. Mon Apr 13 16:09:52 2026 distribution of cycle lengths:
  168. Mon Apr 13 16:09:52 2026 1 relations: 1841412
  169. Mon Apr 13 16:09:52 2026 2 relations: 1861059
  170. Mon Apr 13 16:09:52 2026 3 relations: 1888640
  171. Mon Apr 13 16:09:52 2026 4 relations: 1801669
  172. Mon Apr 13 16:09:52 2026 5 relations: 1733169
  173. Mon Apr 13 16:09:52 2026 6 relations: 1596523
  174. Mon Apr 13 16:09:52 2026 7 relations: 1435498
  175. Mon Apr 13 16:09:52 2026 8 relations: 1249117
  176. Mon Apr 13 16:09:52 2026 9 relations: 1045504
  177. Mon Apr 13 16:09:52 2026 10+ relations: 2990682
  178. Mon Apr 13 16:09:52 2026 heaviest cycle: 21 relations
  179. Mon Apr 13 16:09:56 2026 target density 80 succeeded, avg weight 80.02
  180. Mon Apr 13 16:09:56 2026 commencing cycle optimization
  181. Mon Apr 13 16:10:19 2026 start with 101990802 relations
  182. Mon Apr 13 16:12:10 2026 pruned 2863215 relations
  183. Mon Apr 13 16:12:11 2026 memory use: 3236.3 MB
  184. Mon Apr 13 16:12:12 2026 distribution of cycle lengths:
  185. Mon Apr 13 16:12:12 2026 1 relations: 1841412
  186. Mon Apr 13 16:12:12 2026 2 relations: 1900600
  187. Mon Apr 13 16:12:12 2026 3 relations: 1956972
  188. Mon Apr 13 16:12:12 2026 4 relations: 1856726
  189. Mon Apr 13 16:12:12 2026 5 relations: 1791295
  190. Mon Apr 13 16:12:12 2026 6 relations: 1639050
  191. Mon Apr 13 16:12:12 2026 7 relations: 1470330
  192. Mon Apr 13 16:12:12 2026 8 relations: 1262330
  193. Mon Apr 13 16:12:12 2026 9 relations: 1042740
  194. Mon Apr 13 16:12:12 2026 10+ relations: 2681818
  195. Mon Apr 13 16:12:12 2026 heaviest cycle: 21 relations
  196. Mon Apr 13 16:12:33 2026
  197. Mon Apr 13 16:12:33 2026 trying target density 100
  198. Mon Apr 13 16:12:33 2026 commencing full merge
  199. Mon Apr 13 16:20:47 2026 memory use: 4169.3 MB
  200. Mon Apr 13 16:20:50 2026 found 16359258 cycles, need 16149273
  201. Mon Apr 13 16:20:54 2026 weight of 16149273 cycles is about 1615439743 (100.03/cycle)
  202. Mon Apr 13 16:20:54 2026 distribution of cycle lengths:
  203. Mon Apr 13 16:20:54 2026 1 relations: 1210176
  204. Mon Apr 13 16:20:54 2026 2 relations: 1329853
  205. Mon Apr 13 16:20:54 2026 3 relations: 1384764
  206. Mon Apr 13 16:20:54 2026 4 relations: 1376085
  207. Mon Apr 13 16:20:54 2026 5 relations: 1355680
  208. Mon Apr 13 16:20:54 2026 6 relations: 1296263
  209. Mon Apr 13 16:20:54 2026 7 relations: 1238288
  210. Mon Apr 13 16:20:54 2026 8 relations: 1152977
  211. Mon Apr 13 16:20:54 2026 9 relations: 1039314
  212. Mon Apr 13 16:20:54 2026 10+ relations: 4765873
  213. Mon Apr 13 16:20:54 2026 heaviest cycle: 26 relations
  214. Mon Apr 13 16:20:57 2026 target density 100 succeeded, avg weight 100.03
  215. Mon Apr 13 16:20:57 2026 commencing cycle optimization
  216. Mon Apr 13 16:21:23 2026 start with 118230489 relations
  217. Mon Apr 13 16:24:10 2026 pruned 4330620 relations
  218. Mon Apr 13 16:24:11 2026 memory use: 3408.3 MB
  219. Mon Apr 13 16:24:11 2026 distribution of cycle lengths:
  220. Mon Apr 13 16:24:11 2026 1 relations: 1210176
  221. Mon Apr 13 16:24:11 2026 2 relations: 1360014
  222. Mon Apr 13 16:24:11 2026 3 relations: 1439684
  223. Mon Apr 13 16:24:11 2026 4 relations: 1426608
  224. Mon Apr 13 16:24:11 2026 5 relations: 1413142
  225. Mon Apr 13 16:24:11 2026 6 relations: 1346398
  226. Mon Apr 13 16:24:11 2026 7 relations: 1288930
  227. Mon Apr 13 16:24:11 2026 8 relations: 1190540
  228. Mon Apr 13 16:24:11 2026 9 relations: 1067862
  229. Mon Apr 13 16:24:11 2026 10+ relations: 4405919
  230. Mon Apr 13 16:24:11 2026 heaviest cycle: 26 relations
  231. Mon Apr 13 16:24:35 2026
  232. Mon Apr 13 16:24:35 2026 trying target density 120
  233. Mon Apr 13 16:24:35 2026 commencing full merge
  234. Mon Apr 13 16:35:10 2026 memory use: 4257.3 MB
  235. Mon Apr 13 16:35:13 2026 found 15351925 cycles, need 15239273
  236. Mon Apr 13 16:35:17 2026 weight of 15239273 cycles is about 1829205157 (120.03/cycle)
  237. Mon Apr 13 16:35:17 2026 distribution of cycle lengths:
  238. Mon Apr 13 16:35:17 2026 1 relations: 855446
  239. Mon Apr 13 16:35:17 2026 2 relations: 1007907
  240. Mon Apr 13 16:35:17 2026 3 relations: 1078766
  241. Mon Apr 13 16:35:17 2026 4 relations: 1081741
  242. Mon Apr 13 16:35:17 2026 5 relations: 1093300
  243. Mon Apr 13 16:35:17 2026 6 relations: 1063422
  244. Mon Apr 13 16:35:17 2026 7 relations: 1044090
  245. Mon Apr 13 16:35:17 2026 8 relations: 1001249
  246. Mon Apr 13 16:35:17 2026 9 relations: 944446
  247. Mon Apr 13 16:35:17 2026 10+ relations: 6068906
  248. Mon Apr 13 16:35:17 2026 heaviest cycle: 28 relations
  249. Mon Apr 13 16:35:19 2026 target density 120 succeeded, avg weight 120.03
  250. Mon Apr 13 16:35:20 2026 commencing cycle optimization
  251. Mon Apr 13 16:35:50 2026 start with 133642512 relations
  252. Mon Apr 13 16:39:59 2026 pruned 5898305 relations
  253. Mon Apr 13 16:39:59 2026 memory use: 3564.3 MB
  254. Mon Apr 13 16:39:59 2026 distribution of cycle lengths:
  255. Mon Apr 13 16:39:59 2026 1 relations: 855446
  256. Mon Apr 13 16:39:59 2026 2 relations: 1031709
  257. Mon Apr 13 16:39:59 2026 3 relations: 1123108
  258. Mon Apr 13 16:39:59 2026 4 relations: 1125291
  259. Mon Apr 13 16:39:59 2026 5 relations: 1145421
  260. Mon Apr 13 16:39:59 2026 6 relations: 1113168
  261. Mon Apr 13 16:39:59 2026 7 relations: 1095650
  262. Mon Apr 13 16:39:59 2026 8 relations: 1047767
  263. Mon Apr 13 16:39:59 2026 9 relations: 987911
  264. Mon Apr 13 16:39:59 2026 10+ relations: 5713802
  265. Mon Apr 13 16:39:59 2026 heaviest cycle: 28 relations
  266. Mon Apr 13 16:40:22 2026
  267. Mon Apr 13 16:40:22 2026 trying target density 140
  268. Mon Apr 13 16:40:22 2026 commencing full merge
  269. Mon Apr 13 17:01:36 2026 memory use: 1520.1 MB
  270. Mon Apr 13 17:01:36 2026 found 142864 cycles, need 7675682
  271. Mon Apr 13 17:01:36 2026 too few cycles, matrix probably cannot build
  272. Mon Apr 13 17:01:36 2026 target density 140: merge failed
  273. Mon Apr 13 17:01:37 2026 RelProcTime: 6491
  274. Mon Apr 13 17:01:37 2026
  275. Mon Apr 13 17:01:37 2026 commencing linear algebra
  276. Mon Apr 13 17:01:37 2026 using VBITS=256
  277. Mon Apr 13 17:01:37 2026 building matrices for all .cyc.## files
  278. Mon Apr 13 17:01:37 2026
  279. Mon Apr 13 17:01:37 2026 building matrix for density 100
  280. Mon Apr 13 17:01:40 2026 read 16149273 cycles
  281. Mon Apr 13 17:02:01 2026 cycles contain 52395487 unique relations
  282. Mon Apr 13 17:04:03 2026 read 52395487 relations
  283. Mon Apr 13 17:04:19 2026 using 20 quadratic characters above 4294917295
  284. Mon Apr 13 17:04:36 2026 building initial matrix
  285. Mon Apr 13 17:11:43 2026 memory use: 6737.4 MB
  286. Mon Apr 13 17:11:49 2026 read 16149273 cycles
  287. Mon Apr 13 17:11:51 2026 matrix is 16149092 x 16149273 (6516.1 MB) with weight 1878039394 (116.29/col)
  288. Mon Apr 13 17:11:51 2026 sparse part has weight 1530518105 (94.77/col)
  289. Mon Apr 13 17:13:52 2026 filtering completed in 2 passes
  290. Mon Apr 13 17:13:55 2026 matrix is 16146594 x 16146766 (6515.9 MB) with weight 1877948185 (116.30/col)
  291. Mon Apr 13 17:13:55 2026 sparse part has weight 1530480160 (94.79/col)
  292. Mon Apr 13 17:14:22 2026
  293. Mon Apr 13 17:14:22 2026 building matrix for density 120
  294. Mon Apr 13 17:14:24 2026 read 15239273 cycles
  295. Mon Apr 13 17:14:44 2026 cycles contain 52403074 unique relations
  296. Mon Apr 13 17:15:42 2026 read 52403074 relations
  297. Mon Apr 13 17:15:59 2026 using 20 quadratic characters above 4294917295
  298. Mon Apr 13 17:16:16 2026 building initial matrix
  299. Mon Apr 13 17:23:41 2026 memory use: 6763.3 MB
  300. Mon Apr 13 17:23:47 2026 read 15239273 cycles
  301. Mon Apr 13 17:23:49 2026 matrix is 15239095 x 15239273 (7159.8 MB) with weight 2051968107 (134.65/col)
  302. Mon Apr 13 17:23:49 2026 sparse part has weight 1709278268 (112.16/col)
  303. Mon Apr 13 17:25:46 2026 filtering completed in 2 passes
  304. Mon Apr 13 17:25:49 2026 matrix is 15238296 x 15238465 (7159.8 MB) with weight 2051936453 (134.66/col)
  305. Mon Apr 13 17:25:49 2026 sparse part has weight 1709264962 (112.17/col)
  306. Mon Apr 13 17:26:15 2026
  307. Mon Apr 13 17:26:15 2026 building matrix for density 80
  308. Mon Apr 13 17:26:16 2026 read 17443273 cycles
  309. Mon Apr 13 17:26:32 2026 cycles contain 52373044 unique relations
  310. Mon Apr 13 17:27:22 2026 read 52373044 relations
  311. Mon Apr 13 17:27:36 2026 using 20 quadratic characters above 4294917295
  312. Mon Apr 13 17:27:53 2026 building initial matrix
  313. Mon Apr 13 17:33:43 2026 memory use: 6718.2 MB
  314. Mon Apr 13 17:33:47 2026 read 17443273 cycles
  315. Mon Apr 13 17:33:49 2026 matrix is 17443091 x 17443273 (5853.6 MB) with weight 1697838361 (97.33/col)
  316. Mon Apr 13 17:33:49 2026 sparse part has weight 1342602124 (76.97/col)
  317. Mon Apr 13 17:35:50 2026 filtering completed in 2 passes
  318. Mon Apr 13 17:35:52 2026 matrix is 17437495 x 17437668 (5853.1 MB) with weight 1697673260 (97.36/col)
  319. Mon Apr 13 17:35:52 2026 sparse part has weight 1342545429 (76.99/col)
  320. Mon Apr 13 17:36:16 2026 BLanczosTime: 2079
  321. Mon Apr 13 17:36:16 2026 elapsed time 02:22:50
  322. Mon Apr 13 19:13:13 2026
  323. Mon Apr 13 19:13:13 2026
  324. Mon Apr 13 19:13:13 2026 Msieve v. 1.54 (SVN unknown)
  325. Mon Apr 13 19:13:13 2026 random seeds: 3c24a4ee 2a1115d3
  326. Mon Apr 13 19:13:13 2026 Using 4 OpenMP threads
  327. Mon Apr 13 19:13:13 2026 factoring 816932851866781459569541445894164959881503304367384322946997641913841095771506626098855875924860093082795787950127271139792922860785658961192922609741383981958688008233548769078785673218459093209281125432692002288382131659453503124405919294792235649 (249 digits)
  328. Mon Apr 13 19:13:15 2026 no P-1/P+1/ECM available, skipping
  329. Mon Apr 13 19:13:15 2026 commencing number field sieve (249-digit input)
  330. Mon Apr 13 19:13:15 2026 R0: 1
  331. Mon Apr 13 19:13:15 2026 R1: -35088445746427365591953667859821524027762681
  332. Mon Apr 13 19:13:15 2026 A0: -41
  333. Mon Apr 13 19:13:15 2026 A1: 0
  334. Mon Apr 13 19:13:15 2026 A2: 0
  335. Mon Apr 13 19:13:15 2026 A3: 0
  336. Mon Apr 13 19:13:15 2026 A4: 0
  337. Mon Apr 13 19:13:15 2026 A5: 0
  338. Mon Apr 13 19:13:15 2026 A6: 1
  339. Mon Apr 13 19:13:15 2026 skew 1.43, size 5.971e-13, alpha 1.262, combined = 7.862e-14 rroots = 2
  340. Mon Apr 13 19:13:15 2026
  341. Mon Apr 13 19:13:15 2026 commencing linear algebra
  342. Mon Apr 13 19:13:15 2026 using VBITS=256
  343. Mon Apr 13 19:13:15 2026 skipping matrix build
  344. Mon Apr 13 19:13:27 2026 matrix starts at (0, 0)
  345. Mon Apr 13 19:13:29 2026 matrix is 15238296 x 15238465 (7159.8 MB) with weight 2051936453 (134.66/col)
  346. Mon Apr 13 19:13:29 2026 sparse part has weight 1709264962 (112.17/col)
  347. Mon Apr 13 19:13:29 2026 saving the first 240 matrix rows for later
  348. Mon Apr 13 19:13:34 2026 matrix includes 256 packed rows
  349. Mon Apr 13 19:13:41 2026 matrix is 15238056 x 15238465 (6604.7 MB) with weight 1565106347 (102.71/col)
  350. Mon Apr 13 19:13:41 2026 sparse part has weight 1487560341 (97.62/col)
  351. Mon Apr 13 19:13:42 2026 using GPU 0 (NVIDIA GeForce RTX 5060 Ti)
  352. Mon Apr 13 19:13:42 2026 selected card has CUDA arch 12.0
  353. Mon Apr 13 19:32:15 2026 commencing Lanczos iteration
  354. Mon Apr 13 19:32:15 2026 memory use: 15185.8 MB
  355. Mon Apr 13 19:33:41 2026 linear algebra at 0.2%, ETA 11h34m
  356. Mon Apr 13 19:35:47 2026 checking every 20000 dimensions, checkpointing every 1320000 dimensions
  357. Tue Apr 14 07:02:45 2026 lanczos halted after 59704 iterations (dim = 15238054)
  358. Tue Apr 14 07:03:54 2026 recovered 33 nontrivial dependencies
  359. Tue Apr 14 07:03:57 2026 BLanczosTime: 42642
  360. Tue Apr 14 07:03:57 2026 elapsed time 11:50:44
  361. Tue Apr 14 07:12:23 2026
  362. Tue Apr 14 07:12:23 2026
  363. Tue Apr 14 07:12:23 2026 Msieve v. 1.54 (SVN Unversioned directory)
  364. Tue Apr 14 07:12:23 2026 random seeds: 9f35b71a 23be92f6
  365. Tue Apr 14 07:12:23 2026 Using 8 OpenMP threads
  366. Tue Apr 14 07:12:23 2026 factoring 816932851866781459569541445894164959881503304367384322946997641913841095771506626098855875924860093082795787950127271139792922860785658961192922609741383981958688008233548769078785673218459093209281125432692002288382131659453503124405919294792235649 (249 digits)
  367. Tue Apr 14 07:12:24 2026 searching for 15-digit factors
  368. Tue Apr 14 07:12:24 2026 commencing number field sieve (249-digit input)
  369. Tue Apr 14 07:12:24 2026 R0: 1
  370. Tue Apr 14 07:12:24 2026 R1: -35088445746427365591953667859821524027762681
  371. Tue Apr 14 07:12:24 2026 A0: -41
  372. Tue Apr 14 07:12:24 2026 A1: 0
  373. Tue Apr 14 07:12:24 2026 A2: 0
  374. Tue Apr 14 07:12:24 2026 A3: 0
  375. Tue Apr 14 07:12:24 2026 A4: 0
  376. Tue Apr 14 07:12:24 2026 A5: 0
  377. Tue Apr 14 07:12:24 2026 A6: 1
  378. Tue Apr 14 07:12:24 2026 skew 1.43, size 5.971e-13, alpha 1.262, combined = 7.862e-14 rroots = 2
  379. Tue Apr 14 07:12:24 2026
  380. Tue Apr 14 07:12:24 2026 commencing square root phase
  381. Tue Apr 14 07:12:24 2026 reading relations for dependency 1
  382. Tue Apr 14 07:12:29 2026 read 7620051 cycles
  383. Tue Apr 14 07:12:42 2026 cycles contain 26206754 unique relations
  384. Tue Apr 14 07:15:22 2026 read 26206754 relations
  385. Tue Apr 14 07:16:38 2026 multiplying 26206754 relations
  386. Tue Apr 14 07:18:11 2026 multiply complete, coefficients have about 693.03 million bits
  387. Tue Apr 14 07:18:12 2026 initial square root is modulo 1650379
  388. Tue Apr 14 07:21:07 2026 sqrtTime: 523
  389. Tue Apr 14 07:21:07 2026 p92 factor: 82635877859197346666210144285217145913927854717467498599630213078143924325022731231749272037
  390. Tue Apr 14 07:21:07 2026 p157 factor: 9885934209578401610998348170793525246303081831429323009527680564560475177931947784643860460947202942287085241284063727918685560804065186256824908299174202477
  391. Tue Apr 14 07:21:07 2026 elapsed time 00:08:44
  392.  
Tags: math
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