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Sep 27th, 2025
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  1. Thu Sep 25 15:05:47 2025
  2. Thu Sep 25 15:05:47 2025
  3. Thu Sep 25 15:05:47 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Sep 25 15:05:47 2025 random seeds: 4bedb7c8 5f63e2e6
  5. Thu Sep 25 15:05:47 2025 factoring 4498692251403175096737825359136409366102458130512600154606152009116952265952778319513362015237987320473390302380339939581634612435398878860064714222927969752728967150419999281571915946429417282407181197941470251606902158929 (223 digits)
  6. Thu Sep 25 15:05:48 2025 searching for 15-digit factors
  7. Thu Sep 25 15:05:48 2025 commencing number field sieve (223-digit input)
  8. Thu Sep 25 15:05:48 2025 R0: 284715113615922439947447077981050543543
  9. Thu Sep 25 15:05:48 2025 R1: -1
  10. Thu Sep 25 15:05:48 2025 A0: -1
  11. Thu Sep 25 15:05:48 2025 A1: 0
  12. Thu Sep 25 15:05:48 2025 A2: 0
  13. Thu Sep 25 15:05:48 2025 A3: 0
  14. Thu Sep 25 15:05:48 2025 A4: 0
  15. Thu Sep 25 15:05:48 2025 A5: 0
  16. Thu Sep 25 15:05:48 2025 A6: 49077463
  17. Thu Sep 25 15:05:48 2025 skew 0.05, size 2.781e-12, alpha -0.566, combined = 2.604e-13 rroots = 2
  18. Thu Sep 25 15:05:48 2025
  19. Thu Sep 25 15:05:48 2025 commencing relation filtering
  20. Thu Sep 25 15:05:48 2025 setting target matrix density to 120.0
  21. Thu Sep 25 15:05:48 2025 estimated available RAM is 15938.6 MB
  22. Thu Sep 25 15:05:48 2025 commencing duplicate removal, pass 1
  23. Thu Sep 25 15:31:22 2025 error -1 reading relation 173625997
  24. Thu Sep 25 15:41:22 2025 skipped 7354 relations with b > 2^32
  25. Thu Sep 25 15:41:22 2025 skipped 3 relations with composite factors
  26. Thu Sep 25 15:41:22 2025 found 12049723 hash collisions in 235780757 relations
  27. Thu Sep 25 15:41:42 2025 commencing duplicate removal, pass 2
  28. Thu Sep 25 15:43:42 2025 found 1 duplicates and 235780756 unique relations
  29. Thu Sep 25 15:43:42 2025 memory use: 756.8 MB
  30. Thu Sep 25 15:43:42 2025 reading ideals above 159842304
  31. Thu Sep 25 15:43:42 2025 commencing singleton removal, initial pass
  32. Thu Sep 25 16:06:24 2025 memory use: 5512.0 MB
  33. Thu Sep 25 16:06:24 2025 reading all ideals from disk
  34. Thu Sep 25 16:06:32 2025 memory use: 4100.9 MB
  35. Thu Sep 25 16:06:49 2025 commencing in-memory singleton removal
  36. Thu Sep 25 16:07:07 2025 begin with 235780756 relations and 207751027 unique ideals
  37. Thu Sep 25 16:09:45 2025 reduce to 133036491 relations and 93907395 ideals in 16 passes
  38. Thu Sep 25 16:09:45 2025 max relations containing the same ideal: 36
  39. Thu Sep 25 16:09:59 2025 reading ideals above 720000
  40. Thu Sep 25 16:10:00 2025 commencing singleton removal, initial pass
  41. Thu Sep 25 16:29:00 2025 memory use: 3012.0 MB
  42. Thu Sep 25 16:29:00 2025 reading all ideals from disk
  43. Thu Sep 25 16:29:12 2025 memory use: 5234.6 MB
  44. Thu Sep 25 16:29:38 2025 keeping 111168722 ideals with weight <= 200, target excess is 668242
  45. Thu Sep 25 16:30:08 2025 commencing in-memory singleton removal
  46. Thu Sep 25 16:30:29 2025 begin with 133036491 relations and 111168722 unique ideals
  47. Thu Sep 25 16:32:29 2025 reduce to 133030131 relations and 111162362 ideals in 8 passes
  48. Thu Sep 25 16:32:29 2025 max relations containing the same ideal: 200
  49. Thu Sep 25 16:33:59 2025 removing 12198523 relations and 10198523 ideals in 2000000 cliques
  50. Thu Sep 25 16:34:03 2025 commencing in-memory singleton removal
  51. Thu Sep 25 16:34:19 2025 begin with 120831608 relations and 111162362 unique ideals
  52. Thu Sep 25 16:36:15 2025 reduce to 119965550 relations and 100081003 ideals in 9 passes
  53. Thu Sep 25 16:36:15 2025 max relations containing the same ideal: 195
  54. Thu Sep 25 16:37:34 2025 removing 9273037 relations and 7273037 ideals in 2000000 cliques
  55. Thu Sep 25 16:37:39 2025 commencing in-memory singleton removal
  56. Thu Sep 25 16:37:53 2025 begin with 110692513 relations and 100081003 unique ideals
  57. Thu Sep 25 16:39:14 2025 reduce to 110119634 relations and 92225143 ideals in 7 passes
  58. Thu Sep 25 16:39:14 2025 max relations containing the same ideal: 189
  59. Thu Sep 25 16:40:26 2025 removing 8385394 relations and 6385394 ideals in 2000000 cliques
  60. Thu Sep 25 16:40:30 2025 commencing in-memory singleton removal
  61. Thu Sep 25 16:40:42 2025 begin with 101734240 relations and 92225143 unique ideals
  62. Thu Sep 25 16:42:07 2025 reduce to 101223868 relations and 85320496 ideals in 8 passes
  63. Thu Sep 25 16:42:07 2025 max relations containing the same ideal: 178
  64. Thu Sep 25 16:43:14 2025 removing 7932592 relations and 5932592 ideals in 2000000 cliques
  65. Thu Sep 25 16:43:19 2025 commencing in-memory singleton removal
  66. Thu Sep 25 16:43:30 2025 begin with 93291276 relations and 85320496 unique ideals
  67. Thu Sep 25 16:44:34 2025 reduce to 92800949 relations and 78888699 ideals in 7 passes
  68. Thu Sep 25 16:44:34 2025 max relations containing the same ideal: 167
  69. Thu Sep 25 16:45:34 2025 removing 7660667 relations and 5660667 ideals in 2000000 cliques
  70. Thu Sep 25 16:45:37 2025 commencing in-memory singleton removal
  71. Thu Sep 25 16:45:48 2025 begin with 85140282 relations and 78888699 unique ideals
  72. Thu Sep 25 16:46:54 2025 reduce to 84655196 relations and 72733503 ideals in 8 passes
  73. Thu Sep 25 16:46:54 2025 max relations containing the same ideal: 158
  74. Thu Sep 25 16:47:48 2025 removing 7479487 relations and 5479487 ideals in 2000000 cliques
  75. Thu Sep 25 16:47:51 2025 commencing in-memory singleton removal
  76. Thu Sep 25 16:48:00 2025 begin with 77175709 relations and 72733503 unique ideals
  77. Thu Sep 25 16:49:05 2025 reduce to 76677441 relations and 66745241 ideals in 8 passes
  78. Thu Sep 25 16:49:05 2025 max relations containing the same ideal: 149
  79. Thu Sep 25 16:49:54 2025 removing 7362930 relations and 5362930 ideals in 2000000 cliques
  80. Thu Sep 25 16:49:58 2025 commencing in-memory singleton removal
  81. Thu Sep 25 16:50:05 2025 begin with 69314511 relations and 66745241 unique ideals
  82. Thu Sep 25 16:50:55 2025 reduce to 68791374 relations and 60847303 ideals in 7 passes
  83. Thu Sep 25 16:50:55 2025 max relations containing the same ideal: 141
  84. Thu Sep 25 16:51:51 2025 removing 7282177 relations and 5282177 ideals in 2000000 cliques
  85. Thu Sep 25 16:51:55 2025 commencing in-memory singleton removal
  86. Thu Sep 25 16:52:03 2025 begin with 61509197 relations and 60847303 unique ideals
  87. Thu Sep 25 16:53:16 2025 reduce to 60949780 relations and 54991681 ideals in 8 passes
  88. Thu Sep 25 16:53:16 2025 max relations containing the same ideal: 130
  89. Thu Sep 25 16:54:06 2025 removing 7232895 relations and 5232895 ideals in 2000000 cliques
  90. Thu Sep 25 16:54:10 2025 commencing in-memory singleton removal
  91. Thu Sep 25 16:54:17 2025 begin with 53716885 relations and 54991681 unique ideals
  92. Thu Sep 25 16:55:19 2025 reduce to 53102075 relations and 49126668 ideals in 8 passes
  93. Thu Sep 25 16:55:19 2025 max relations containing the same ideal: 115
  94. Thu Sep 25 16:56:02 2025 removing 7205517 relations and 5205517 ideals in 2000000 cliques
  95. Thu Sep 25 16:56:06 2025 commencing in-memory singleton removal
  96. Thu Sep 25 16:56:12 2025 begin with 45896558 relations and 49126668 unique ideals
  97. Thu Sep 25 16:57:00 2025 reduce to 45200247 relations and 43202392 ideals in 9 passes
  98. Thu Sep 25 16:57:00 2025 max relations containing the same ideal: 106
  99. Thu Sep 25 16:57:28 2025 removing 4873088 relations and 3650394 ideals in 1222694 cliques
  100. Thu Sep 25 16:57:31 2025 commencing in-memory singleton removal
  101. Thu Sep 25 16:57:36 2025 begin with 40327159 relations and 43202392 unique ideals
  102. Thu Sep 25 16:58:01 2025 reduce to 39960398 relations and 39176591 ideals in 7 passes
  103. Thu Sep 25 16:58:01 2025 max relations containing the same ideal: 96
  104. Thu Sep 25 16:58:26 2025 removing 70315 relations and 61669 ideals in 8646 cliques
  105. Thu Sep 25 16:58:28 2025 commencing in-memory singleton removal
  106. Thu Sep 25 16:58:32 2025 begin with 39890083 relations and 39176591 unique ideals
  107. Thu Sep 25 16:58:46 2025 reduce to 39890028 relations and 39114867 ideals in 4 passes
  108. Thu Sep 25 16:58:46 2025 max relations containing the same ideal: 96
  109. Thu Sep 25 16:58:54 2025 relations with 0 large ideals: 24591
  110. Thu Sep 25 16:58:54 2025 relations with 1 large ideals: 11446
  111. Thu Sep 25 16:58:54 2025 relations with 2 large ideals: 130228
  112. Thu Sep 25 16:58:54 2025 relations with 3 large ideals: 901813
  113. Thu Sep 25 16:58:54 2025 relations with 4 large ideals: 3385233
  114. Thu Sep 25 16:58:54 2025 relations with 5 large ideals: 7566634
  115. Thu Sep 25 16:58:54 2025 relations with 6 large ideals: 10565825
  116. Thu Sep 25 16:58:54 2025 relations with 7+ large ideals: 17304258
  117. Thu Sep 25 16:58:54 2025 commencing 2-way merge
  118. Thu Sep 25 16:59:29 2025 reduce to 25474990 relation sets and 24699829 unique ideals
  119. Thu Sep 25 16:59:29 2025 commencing full merge
  120. Thu Sep 25 17:12:51 2025 memory use: 3287.1 MB
  121. Thu Sep 25 17:12:55 2025 found 11481482 cycles, need 11474029
  122. Thu Sep 25 17:13:01 2025 weight of 11474029 cycles is about 1377195100 (120.03/cycle)
  123. Thu Sep 25 17:13:01 2025 distribution of cycle lengths:
  124. Thu Sep 25 17:13:01 2025 1 relations: 531316
  125. Thu Sep 25 17:13:01 2025 2 relations: 704504
  126. Thu Sep 25 17:13:01 2025 3 relations: 808951
  127. Thu Sep 25 17:13:01 2025 4 relations: 826232
  128. Thu Sep 25 17:13:01 2025 5 relations: 840275
  129. Thu Sep 25 17:13:01 2025 6 relations: 823884
  130. Thu Sep 25 17:13:01 2025 7 relations: 805916
  131. Thu Sep 25 17:13:01 2025 8 relations: 765336
  132. Thu Sep 25 17:13:01 2025 9 relations: 723815
  133. Thu Sep 25 17:13:01 2025 10+ relations: 4643800
  134. Thu Sep 25 17:13:01 2025 heaviest cycle: 28 relations
  135. Thu Sep 25 17:13:05 2025 commencing cycle optimization
  136. Thu Sep 25 17:13:46 2025 start with 102981547 relations
  137. Thu Sep 25 17:19:17 2025 pruned 4524453 relations
  138. Thu Sep 25 17:19:18 2025 memory use: 2714.7 MB
  139. Thu Sep 25 17:19:18 2025 distribution of cycle lengths:
  140. Thu Sep 25 17:19:18 2025 1 relations: 531316
  141. Thu Sep 25 17:19:18 2025 2 relations: 721398
  142. Thu Sep 25 17:19:18 2025 3 relations: 841808
  143. Thu Sep 25 17:19:18 2025 4 relations: 858171
  144. Thu Sep 25 17:19:18 2025 5 relations: 879913
  145. Thu Sep 25 17:19:18 2025 6 relations: 861182
  146. Thu Sep 25 17:19:18 2025 7 relations: 844625
  147. Thu Sep 25 17:19:18 2025 8 relations: 798723
  148. Thu Sep 25 17:19:18 2025 9 relations: 755042
  149. Thu Sep 25 17:19:18 2025 10+ relations: 4381851
  150. Thu Sep 25 17:19:18 2025 heaviest cycle: 28 relations
  151. Thu Sep 25 17:19:47 2025 RelProcTime: 8039
  152. Thu Sep 25 17:19:47 2025
  153. Thu Sep 25 17:19:47 2025 commencing linear algebra
  154. Thu Sep 25 17:19:47 2025 using VBITS=256
  155. Thu Sep 25 17:19:49 2025 read 11474029 cycles
  156. Thu Sep 25 17:20:24 2025 cycles contain 39434302 unique relations
  157. Thu Sep 25 17:24:07 2025 read 39434302 relations
  158. Thu Sep 25 17:25:40 2025 using 20 quadratic characters above 4294917295
  159. Thu Sep 25 17:28:57 2025 building initial matrix
  160. Thu Sep 25 17:40:04 2025 memory use: 5195.0 MB
  161. Thu Sep 25 17:40:15 2025 read 11474029 cycles
  162. Thu Sep 25 17:40:17 2025 matrix is 11473852 x 11474029 (5423.6 MB) with weight 1586063614 (138.23/col)
  163. Thu Sep 25 17:40:17 2025 sparse part has weight 1295558681 (112.91/col)
  164. Thu Sep 25 17:43:21 2025 filtering completed in 2 passes
  165. Thu Sep 25 17:43:23 2025 matrix is 11473778 x 11473948 (5423.6 MB) with weight 1586060781 (138.23/col)
  166. Thu Sep 25 17:43:23 2025 sparse part has weight 1295557950 (112.91/col)
  167. Thu Sep 25 17:44:19 2025 matrix starts at (0, 0)
  168. Thu Sep 25 17:44:22 2025 matrix is 11473778 x 11473948 (5423.6 MB) with weight 1586060781 (138.23/col)
  169. Thu Sep 25 17:44:22 2025 sparse part has weight 1295557950 (112.91/col)
  170. Thu Sep 25 17:44:22 2025 saving the first 240 matrix rows for later
  171. Thu Sep 25 17:44:26 2025 matrix includes 256 packed rows
  172. Thu Sep 25 17:44:35 2025 matrix is 11473538 x 11473948 (4950.6 MB) with weight 1176921435 (102.57/col)
  173. Thu Sep 25 17:44:35 2025 sparse part has weight 1114174540 (97.10/col)
  174. Fri Sep 26 09:28:43 2025
  175. Fri Sep 26 09:28:43 2025
  176. Fri Sep 26 09:28:43 2025 Msieve v. 1.54 (SVN unknown)
  177. Fri Sep 26 09:28:43 2025 random seeds: d0f83301 15fbbee1
  178. Fri Sep 26 09:28:43 2025 factoring 4498692251403175096737825359136409366102458130512600154606152009116952265952778319513362015237987320473390302380339939581634612435398878860064714222927969752728967150419999281571915946429417282407181197941470251606902158929 (223 digits)
  179. Fri Sep 26 09:28:44 2025 no P-1/P+1/ECM available, skipping
  180. Fri Sep 26 09:28:44 2025 commencing number field sieve (223-digit input)
  181. Fri Sep 26 09:28:44 2025 R0: 284715113615922439947447077981050543543
  182. Fri Sep 26 09:28:44 2025 R1: -1
  183. Fri Sep 26 09:28:44 2025 A0: -1
  184. Fri Sep 26 09:28:44 2025 A1: 0
  185. Fri Sep 26 09:28:44 2025 A2: 0
  186. Fri Sep 26 09:28:44 2025 A3: 0
  187. Fri Sep 26 09:28:44 2025 A4: 0
  188. Fri Sep 26 09:28:44 2025 A5: 0
  189. Fri Sep 26 09:28:44 2025 A6: 49077463
  190. Fri Sep 26 09:28:44 2025 skew 0.05, size 2.781e-12, alpha -0.566, combined = 2.604e-13 rroots = 2
  191. Fri Sep 26 09:28:44 2025
  192. Fri Sep 26 09:28:44 2025 commencing linear algebra
  193. Fri Sep 26 09:28:44 2025 using VBITS=128
  194. Fri Sep 26 09:28:44 2025 skipping matrix build
  195. Fri Sep 26 09:28:52 2025 matrix starts at (0, 0)
  196. Fri Sep 26 09:28:53 2025 matrix is 11473778 x 11473948 (5423.6 MB) with weight 1586060781 (138.23/col)
  197. Fri Sep 26 09:28:53 2025 sparse part has weight 1295557950 (112.91/col)
  198. Fri Sep 26 09:28:53 2025 saving the first 112 matrix rows for later
  199. Fri Sep 26 09:28:55 2025 matrix includes 128 packed rows
  200. Fri Sep 26 09:28:58 2025 matrix is 11473666 x 11473948 (5014.8 MB) with weight 1251944795 (109.11/col)
  201. Fri Sep 26 09:28:58 2025 sparse part has weight 1176921435 (102.57/col)
  202. Fri Sep 26 09:28:58 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  203. Fri Sep 26 09:28:58 2025 selected card has CUDA arch 8.6
  204. Fri Sep 26 09:30:33 2025 commencing Lanczos iteration
  205. Fri Sep 26 09:30:33 2025 memory use: 10905.1 MB
  206. Fri Sep 26 09:35:05 2025 linear algebra at 0.3%, ETA 28h19m
  207. Fri Sep 26 09:35:45 2025 checking every 10000 dimensions, checkpointing every 450000 dimensions
  208. Sat Sep 27 01:29:51 2025 lanczos halted after 90178 iterations (dim = 11473663)
  209. Sat Sep 27 01:30:08 2025 recovered 34 nontrivial dependencies
  210. Sat Sep 27 01:30:09 2025 BLanczosTime: 57685
  211. Sat Sep 27 01:30:09 2025 elapsed time 16:01:26
  212. Sat Sep 27 10:37:50 2025
  213. Sat Sep 27 10:37:50 2025
  214. Sat Sep 27 10:37:50 2025 Msieve v. 1.54 (SVN Unversioned directory)
  215. Sat Sep 27 10:37:50 2025 random seeds: 483c1cdb fa7c006d
  216. Sat Sep 27 10:37:50 2025 factoring 4498692251403175096737825359136409366102458130512600154606152009116952265952778319513362015237987320473390302380339939581634612435398878860064714222927969752728967150419999281571915946429417282407181197941470251606902158929 (223 digits)
  217. Sat Sep 27 10:37:51 2025 searching for 15-digit factors
  218. Sat Sep 27 10:37:51 2025 commencing number field sieve (223-digit input)
  219. Sat Sep 27 10:37:51 2025 R0: 284715113615922439947447077981050543543
  220. Sat Sep 27 10:37:51 2025 R1: -1
  221. Sat Sep 27 10:37:51 2025 A0: -1
  222. Sat Sep 27 10:37:51 2025 A1: 0
  223. Sat Sep 27 10:37:51 2025 A2: 0
  224. Sat Sep 27 10:37:51 2025 A3: 0
  225. Sat Sep 27 10:37:51 2025 A4: 0
  226. Sat Sep 27 10:37:51 2025 A5: 0
  227. Sat Sep 27 10:37:51 2025 A6: 49077463
  228. Sat Sep 27 10:37:51 2025 skew 0.05, size 2.781e-12, alpha -0.566, combined = 2.604e-13 rroots = 2
  229. Sat Sep 27 10:37:51 2025
  230. Sat Sep 27 10:37:51 2025 commencing square root phase
  231. Sat Sep 27 10:37:51 2025 reading relations for dependency 1
  232. Sat Sep 27 10:37:53 2025 read 5736842 cycles
  233. Sat Sep 27 10:38:06 2025 cycles contain 19720862 unique relations
  234. Sat Sep 27 10:40:33 2025 read 19720862 relations
  235. Sat Sep 27 10:42:20 2025 multiplying 19720862 relations
  236. Sat Sep 27 10:49:59 2025
  237. Sat Sep 27 10:49:59 2025
  238. Sat Sep 27 10:49:59 2025 Msieve v. 1.54 (SVN Unversioned directory)
  239. Sat Sep 27 10:49:59 2025 random seeds: 7806bb21 1f6a9988
  240. Sat Sep 27 10:49:59 2025 factoring 4498692251403175096737825359136409366102458130512600154606152009116952265952778319513362015237987320473390302380339939581634612435398878860064714222927969752728967150419999281571915946429417282407181197941470251606902158929 (223 digits)
  241. Sat Sep 27 10:50:01 2025 searching for 15-digit factors
  242. Sat Sep 27 10:50:02 2025 commencing number field sieve (223-digit input)
  243. Sat Sep 27 10:50:02 2025 R0: 284715113615922439947447077981050543543
  244. Sat Sep 27 10:50:02 2025 R1: -1
  245. Sat Sep 27 10:50:02 2025 A0: -1
  246. Sat Sep 27 10:50:02 2025 A1: 0
  247. Sat Sep 27 10:50:02 2025 A2: 0
  248. Sat Sep 27 10:50:02 2025 A3: 0
  249. Sat Sep 27 10:50:02 2025 A4: 0
  250. Sat Sep 27 10:50:02 2025 A5: 0
  251. Sat Sep 27 10:50:02 2025 A6: 49077463
  252. Sat Sep 27 10:50:02 2025 skew 0.05, size 2.781e-12, alpha -0.566, combined = 2.604e-13 rroots = 2
  253. Sat Sep 27 10:50:02 2025
  254. Sat Sep 27 10:50:02 2025 commencing square root phase
  255. Sat Sep 27 10:50:02 2025 handling dependencies 2 to 10
  256. Sat Sep 27 10:50:02 2025 reading relations for dependency 2
  257. Sat Sep 27 10:50:04 2025 read 5738393 cycles
  258. Sat Sep 27 10:50:20 2025 cycles contain 19720872 unique relations
  259. Sat Sep 27 10:53:01 2025 read 19720872 relations
  260. Sat Sep 27 10:55:06 2025 multiplying 19720872 relations
  261. Sat Sep 27 11:37:20 2025 multiply complete, coefficients have about 953.45 million bits
  262. Sat Sep 27 11:37:23 2025 initial square root is modulo 357980239
  263. Sat Sep 27 12:19:26 2025 sqrtTime: 5364
  264. Sat Sep 27 12:19:26 2025 p54 factor: 354406302260873378023175236914415644625393367613876481
  265. Sat Sep 27 12:19:26 2025 p170 factor: 12693601165398442834240062826882515973234310720364692904898116516217807675481697547054896029822639103119344721734014221529516090819545861277723059210907417703324864822609
  266. Sat Sep 27 12:19:26 2025 elapsed time 01:29:27
  267.  
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