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  1. Tue Apr 14 23:02:18 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Tue Apr 14 23:02:18 2026 random seeds: a0d87b36 ac9f5f5f
  3. Tue Apr 14 23:02:18 2026 Using 32 OpenMP threads
  4. Tue Apr 14 23:02:18 2026 factoring 2710584025492245336171013624506853301008100431670754965449568065914550245421127340632335813055442334422763541397111017227131871145115345328679742877494589518581556600481078425362344485061350684341947620090421759365603765671477672768775341712550829 (247 digits)
  5. Tue Apr 14 23:02:18 2026 no P-1/P+1/ECM available, skipping
  6. Tue Apr 14 23:02:18 2026 commencing number field sieve (247-digit input)
  7. Tue Apr 14 23:02:18 2026 R0: 1
  8. Tue Apr 14 23:02:18 2026 R1: -15636047700684785798246545312090090884567001
  9. Tue Apr 14 23:02:18 2026 A0: -251
  10. Tue Apr 14 23:02:18 2026 A1: 0
  11. Tue Apr 14 23:02:18 2026 A2: 0
  12. Tue Apr 14 23:02:18 2026 A3: 0
  13. Tue Apr 14 23:02:18 2026 A4: 0
  14. Tue Apr 14 23:02:18 2026 A5: 0
  15. Tue Apr 14 23:02:18 2026 A6: 1
  16. Tue Apr 14 23:02:18 2026 skew 1.94, size 4.539e-13, alpha 1.973, combined = 6.560e-14 rroots = 2
  17. Tue Apr 14 23:02:18 2026
  18. Tue Apr 14 23:02:18 2026 commencing relation filtering
  19. Tue Apr 14 23:02:18 2026 setting target matrix density to 110.0
  20. Tue Apr 14 23:02:18 2026 estimated available RAM is 128740.1 MB
  21. Tue Apr 14 23:02:18 2026 commencing duplicate removal, pass 1
  22. Tue Apr 14 23:04:12 2026 error -11 reading relation 197786259
  23. Tue Apr 14 23:04:53 2026 skipped 435 relations with b > 2^32
  24. Tue Apr 14 23:04:53 2026 skipped 1 relations with composite factors
  25. Tue Apr 14 23:04:53 2026 skipped 1 malformed relations
  26. Tue Apr 14 23:04:53 2026 found 8072410 hash collisions in 268890720 relations
  27. Tue Apr 14 23:05:00 2026 added 1219171 free relations
  28. Tue Apr 14 23:05:00 2026 commencing duplicate removal, pass 2
  29. Tue Apr 14 23:05:39 2026 found 0 duplicates and 270109891 unique relations
  30. Tue Apr 14 23:05:39 2026 memory use: 810.4 MB
  31. Tue Apr 14 23:05:39 2026 reading ideals above 720000
  32. Tue Apr 14 23:05:39 2026 commencing singleton removal, initial pass
  33. Tue Apr 14 23:12:43 2026 memory use: 6024.0 MB
  34. Tue Apr 14 23:12:43 2026 reading all ideals from disk
  35. Tue Apr 14 23:12:45 2026 memory use: 13320.9 MB
  36. Tue Apr 14 23:12:56 2026 keeping 252759780 ideals with weight <= 200, target excess is 1433479
  37. Tue Apr 14 23:13:10 2026 commencing in-memory singleton removal
  38. Tue Apr 14 23:13:14 2026 begin with 270109891 relations and 252759780 unique ideals
  39. Tue Apr 14 23:13:38 2026 reduce to 172493310 relations and 145466827 ideals in 15 passes
  40. Tue Apr 14 23:13:38 2026 max relations containing the same ideal: 161
  41. Tue Apr 14 23:14:07 2026 removing 12467681 relations and 10467681 ideals in 2000000 cliques
  42. Tue Apr 14 23:14:10 2026 commencing in-memory singleton removal
  43. Tue Apr 14 23:14:13 2026 begin with 160025629 relations and 145466827 unique ideals
  44. Tue Apr 14 23:14:23 2026 reduce to 159300187 relations and 134262509 ideals in 8 passes
  45. Tue Apr 14 23:14:23 2026 max relations containing the same ideal: 156
  46. Tue Apr 14 23:14:50 2026 removing 9535356 relations and 7535356 ideals in 2000000 cliques
  47. Tue Apr 14 23:14:53 2026 commencing in-memory singleton removal
  48. Tue Apr 14 23:14:55 2026 begin with 149764831 relations and 134262509 unique ideals
  49. Tue Apr 14 23:15:04 2026 reduce to 149286603 relations and 126242664 ideals in 8 passes
  50. Tue Apr 14 23:15:04 2026 max relations containing the same ideal: 145
  51. Tue Apr 14 23:15:30 2026 removing 8640867 relations and 6640867 ideals in 2000000 cliques
  52. Tue Apr 14 23:15:32 2026 commencing in-memory singleton removal
  53. Tue Apr 14 23:15:34 2026 begin with 140645736 relations and 126242664 unique ideals
  54. Tue Apr 14 23:15:43 2026 reduce to 140223607 relations and 119174081 ideals in 8 passes
  55. Tue Apr 14 23:15:43 2026 max relations containing the same ideal: 140
  56. Tue Apr 14 23:16:07 2026 removing 8185556 relations and 6185556 ideals in 2000000 cliques
  57. Tue Apr 14 23:16:10 2026 commencing in-memory singleton removal
  58. Tue Apr 14 23:16:12 2026 begin with 132038051 relations and 119174081 unique ideals
  59. Tue Apr 14 23:16:20 2026 reduce to 131635759 relations and 112580826 ideals in 8 passes
  60. Tue Apr 14 23:16:20 2026 max relations containing the same ideal: 136
  61. Tue Apr 14 23:16:42 2026 removing 7903553 relations and 5903553 ideals in 2000000 cliques
  62. Tue Apr 14 23:16:44 2026 commencing in-memory singleton removal
  63. Tue Apr 14 23:16:46 2026 begin with 123732206 relations and 112580826 unique ideals
  64. Tue Apr 14 23:16:54 2026 reduce to 123337051 relations and 106276640 ideals in 8 passes
  65. Tue Apr 14 23:16:54 2026 max relations containing the same ideal: 126
  66. Tue Apr 14 23:17:15 2026 removing 7724023 relations and 5724023 ideals in 2000000 cliques
  67. Tue Apr 14 23:17:18 2026 commencing in-memory singleton removal
  68. Tue Apr 14 23:17:19 2026 begin with 115613028 relations and 106276640 unique ideals
  69. Tue Apr 14 23:17:26 2026 reduce to 115213270 relations and 100147000 ideals in 8 passes
  70. Tue Apr 14 23:17:26 2026 max relations containing the same ideal: 120
  71. Tue Apr 14 23:17:46 2026 removing 7613934 relations and 5613934 ideals in 2000000 cliques
  72. Tue Apr 14 23:17:49 2026 commencing in-memory singleton removal
  73. Tue Apr 14 23:17:50 2026 begin with 107599336 relations and 100147000 unique ideals
  74. Tue Apr 14 23:17:56 2026 reduce to 107186665 relations and 94114070 ideals in 7 passes
  75. Tue Apr 14 23:17:56 2026 max relations containing the same ideal: 115
  76. Tue Apr 14 23:18:15 2026 removing 7548771 relations and 5548771 ideals in 2000000 cliques
  77. Tue Apr 14 23:18:17 2026 commencing in-memory singleton removal
  78. Tue Apr 14 23:18:18 2026 begin with 99637894 relations and 94114070 unique ideals
  79. Tue Apr 14 23:18:24 2026 reduce to 99207382 relations and 88127499 ideals in 8 passes
  80. Tue Apr 14 23:18:24 2026 max relations containing the same ideal: 111
  81. Tue Apr 14 23:18:42 2026 removing 7515717 relations and 5515717 ideals in 2000000 cliques
  82. Tue Apr 14 23:18:44 2026 commencing in-memory singleton removal
  83. Tue Apr 14 23:18:46 2026 begin with 91691665 relations and 88127499 unique ideals
  84. Tue Apr 14 23:18:51 2026 reduce to 91229957 relations and 82142123 ideals in 8 passes
  85. Tue Apr 14 23:18:51 2026 max relations containing the same ideal: 105
  86. Tue Apr 14 23:19:08 2026 removing 7513979 relations and 5513979 ideals in 2000000 cliques
  87. Tue Apr 14 23:19:10 2026 commencing in-memory singleton removal
  88. Tue Apr 14 23:19:11 2026 begin with 83715978 relations and 82142123 unique ideals
  89. Tue Apr 14 23:19:16 2026 reduce to 83218699 relations and 76121327 ideals in 8 passes
  90. Tue Apr 14 23:19:16 2026 max relations containing the same ideal: 97
  91. Tue Apr 14 23:19:31 2026 removing 7549387 relations and 5549387 ideals in 2000000 cliques
  92. Tue Apr 14 23:19:33 2026 commencing in-memory singleton removal
  93. Tue Apr 14 23:19:34 2026 begin with 75669312 relations and 76121327 unique ideals
  94. Tue Apr 14 23:19:39 2026 reduce to 75122361 relations and 70013643 ideals in 8 passes
  95. Tue Apr 14 23:19:39 2026 max relations containing the same ideal: 90
  96. Tue Apr 14 23:19:53 2026 removing 7605782 relations and 5605782 ideals in 2000000 cliques
  97. Tue Apr 14 23:19:55 2026 commencing in-memory singleton removal
  98. Tue Apr 14 23:19:56 2026 begin with 67516579 relations and 70013643 unique ideals
  99. Tue Apr 14 23:20:00 2026 reduce to 66900736 relations and 63777966 ideals in 9 passes
  100. Tue Apr 14 23:20:00 2026 max relations containing the same ideal: 83
  101. Tue Apr 14 23:20:13 2026 removing 5983975 relations and 4524041 ideals in 1459934 cliques
  102. Tue Apr 14 23:20:14 2026 commencing in-memory singleton removal
  103. Tue Apr 14 23:20:15 2026 begin with 60916761 relations and 63777966 unique ideals
  104. Tue Apr 14 23:20:18 2026 reduce to 60498717 relations and 58828009 ideals in 7 passes
  105. Tue Apr 14 23:20:18 2026 max relations containing the same ideal: 77
  106. Tue Apr 14 23:20:35 2026 relations with 0 large ideals: 53592
  107. Tue Apr 14 23:20:35 2026 relations with 1 large ideals: 22979
  108. Tue Apr 14 23:20:35 2026 relations with 2 large ideals: 318836
  109. Tue Apr 14 23:20:35 2026 relations with 3 large ideals: 1979299
  110. Tue Apr 14 23:20:35 2026 relations with 4 large ideals: 6633514
  111. Tue Apr 14 23:20:35 2026 relations with 5 large ideals: 13247429
  112. Tue Apr 14 23:20:35 2026 relations with 6 large ideals: 16383423
  113. Tue Apr 14 23:20:35 2026 relations with 7+ large ideals: 21859645
  114. Tue Apr 14 23:20:35 2026 commencing 2-way merge
  115. Tue Apr 14 23:20:53 2026 reduce to 38964037 relation sets and 37293329 unique ideals
  116. Tue Apr 14 23:20:53 2026 commencing full merge
  117. Tue Apr 14 23:28:44 2026 memory use: 4833.9 MB
  118. Tue Apr 14 23:28:46 2026 found 17985504 cycles, need 17829529
  119. Tue Apr 14 23:28:50 2026 weight of 17829529 cycles is about 1961564209 (110.02/cycle)
  120. Tue Apr 14 23:28:50 2026 distribution of cycle lengths:
  121. Tue Apr 14 23:28:50 2026 1 relations: 1179854
  122. Tue Apr 14 23:28:50 2026 2 relations: 1354472
  123. Tue Apr 14 23:28:50 2026 3 relations: 1440547
  124. Tue Apr 14 23:28:50 2026 4 relations: 1411307
  125. Tue Apr 14 23:28:50 2026 5 relations: 1389757
  126. Tue Apr 14 23:28:50 2026 6 relations: 1343930
  127. Tue Apr 14 23:28:50 2026 7 relations: 1273604
  128. Tue Apr 14 23:28:50 2026 8 relations: 1201153
  129. Tue Apr 14 23:28:50 2026 9 relations: 1110246
  130. Tue Apr 14 23:28:50 2026 10+ relations: 6124659
  131. Tue Apr 14 23:28:50 2026 heaviest cycle: 28 relations
  132. Tue Apr 14 23:28:53 2026 commencing cycle optimization
  133. Tue Apr 14 23:29:15 2026 start with 142513206 relations
  134. Tue Apr 14 23:31:51 2026 pruned 5662644 relations
  135. Tue Apr 14 23:31:51 2026 memory use: 3952.1 MB
  136. Tue Apr 14 23:31:52 2026 distribution of cycle lengths:
  137. Tue Apr 14 23:31:52 2026 1 relations: 1179854
  138. Tue Apr 14 23:31:52 2026 2 relations: 1386469
  139. Tue Apr 14 23:31:52 2026 3 relations: 1499297
  140. Tue Apr 14 23:31:52 2026 4 relations: 1465669
  141. Tue Apr 14 23:31:52 2026 5 relations: 1451449
  142. Tue Apr 14 23:31:52 2026 6 relations: 1397326
  143. Tue Apr 14 23:31:52 2026 7 relations: 1328663
  144. Tue Apr 14 23:31:52 2026 8 relations: 1246118
  145. Tue Apr 14 23:31:52 2026 9 relations: 1146387
  146. Tue Apr 14 23:31:52 2026 10+ relations: 5728297
  147. Tue Apr 14 23:31:52 2026 heaviest cycle: 28 relations
  148. Tue Apr 14 23:32:10 2026 RelProcTime: 1792
  149. Tue Apr 14 23:32:10 2026 elapsed time 00:29:52
  150. Wed Apr 15 09:44:28 2026
  151. Wed Apr 15 09:44:28 2026
  152. Wed Apr 15 09:44:28 2026 Msieve v. 1.54 (SVN 573b9ef)
  153. Wed Apr 15 09:44:28 2026 random seeds: 82c16e62 3bf27f3b
  154. Wed Apr 15 09:44:28 2026 MPI process 0 of 2
  155. Wed Apr 15 09:44:28 2026 Using 8 OpenMP threads
  156. Wed Apr 15 09:44:28 2026 factoring 2710584025492245336171013624506853301008100431670754965449568065914550245421127340632335813055442334422763541397111017227131871145115345328679742877494589518581556600481078425362344485061350684341947620090421759365603765671477672768775341712550829 (247 digits)
  157. Wed Apr 15 09:44:29 2026 no P-1/P+1/ECM available, skipping
  158. Wed Apr 15 09:44:29 2026 commencing number field sieve (247-digit input)
  159. Wed Apr 15 09:44:29 2026 R0: 1
  160. Wed Apr 15 09:44:29 2026 R1: -15636047700684785798246545312090090884567001
  161. Wed Apr 15 09:44:29 2026 A0: -251
  162. Wed Apr 15 09:44:29 2026 A1: 0
  163. Wed Apr 15 09:44:29 2026 A2: 0
  164. Wed Apr 15 09:44:29 2026 A3: 0
  165. Wed Apr 15 09:44:29 2026 A4: 0
  166. Wed Apr 15 09:44:29 2026 A5: 0
  167. Wed Apr 15 09:44:29 2026 A6: 1
  168. Wed Apr 15 09:44:29 2026 skew 1.94, size 4.539e-13, alpha 1.973, combined = 6.560e-14 rroots = 2
  169. Wed Apr 15 09:44:29 2026
  170. Wed Apr 15 09:44:29 2026 commencing linear algebra
  171. Wed Apr 15 09:44:29 2026 using VBITS=256
  172. Wed Apr 15 09:44:29 2026 initialized process (0,0) of 1 x 2 grid
  173. Wed Apr 15 09:44:30 2026 read 17829529 cycles
  174. Wed Apr 15 09:44:50 2026 cycles contain 59439330 unique relations
  175. Wed Apr 15 09:45:20 2026 read 59439330 relations
  176. Wed Apr 15 09:45:31 2026 using 20 quadratic characters above 4294917295
  177. Wed Apr 15 09:45:48 2026 building initial matrix
  178. Wed Apr 15 09:52:06 2026 memory use: 7633.7 MB
  179. Wed Apr 15 09:52:13 2026 read 17829529 cycles
  180. Wed Apr 15 09:52:14 2026 matrix is 17829352 x 17829529 (7725.3 MB) with weight 2230655103 (125.11/col)
  181. Wed Apr 15 09:52:14 2026 sparse part has weight 1846833663 (103.58/col)
  182. Wed Apr 15 09:53:49 2026 filtering completed in 2 passes
  183. Wed Apr 15 09:53:51 2026 matrix is 17827593 x 17827763 (7725.1 MB) with weight 2230590764 (125.12/col)
  184. Wed Apr 15 09:53:51 2026 sparse part has weight 1846808527 (103.59/col)
  185. Wed Apr 15 09:54:15 2026 matrix starts at (0, 0)
  186. Wed Apr 15 09:54:16 2026 matrix is 17827593 x 8913884 (3862.5 MB) with weight 1115303434 (125.12/col)
  187. Wed Apr 15 09:54:16 2026 sparse part has weight 923404389 (103.59/col)
  188. Wed Apr 15 09:54:16 2026 saving the first 240 matrix rows for later
  189. Wed Apr 15 09:54:17 2026 matrix includes 256 packed rows
  190. Wed Apr 15 09:54:20 2026 matrix is 17827353 x 8913884 (3603.5 MB) with weight 841188411 (94.37/col)
  191. Wed Apr 15 09:54:20 2026 sparse part has weight 802004772 (89.97/col)
  192. Wed Apr 15 09:54:20 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  193. Wed Apr 15 09:54:20 2026 selected card has CUDA arch 8.6
  194. Wed Apr 15 09:54:49 2026 commencing Lanczos iteration
  195. Wed Apr 15 09:54:50 2026 memory use: 9213.1 MB
  196. Wed Apr 15 09:55:27 2026 linear algebra at 0.2%, ETA 5h48m
  197. Wed Apr 15 09:56:20 2026 checking every 50000 dimensions, checkpointing every 3150000 dimensions
  198. Wed Apr 15 15:35:37 2026 lanczos halted after 69848 iterations (dim = 17827353)
  199. Wed Apr 15 15:36:36 2026 recovered 38 nontrivial dependencies
  200. Wed Apr 15 15:36:36 2026 BLanczosTime: 21127
  201. Wed Apr 15 15:36:36 2026 elapsed time 05:52:08
  202. Wed Apr 15 17:30:03 2026
  203. Wed Apr 15 17:30:03 2026
  204. Wed Apr 15 17:30:03 2026 Msieve v. 1.54 (SVN 573b9ef)
  205. Wed Apr 15 17:30:03 2026 random seeds: 21ed67c4 70c709ac
  206. Wed Apr 15 17:30:03 2026 Using 32 OpenMP threads
  207. Wed Apr 15 17:30:03 2026 factoring 2710584025492245336171013624506853301008100431670754965449568065914550245421127340632335813055442334422763541397111017227131871145115345328679742877494589518581556600481078425362344485061350684341947620090421759365603765671477672768775341712550829 (247 digits)
  208. Wed Apr 15 17:30:04 2026 no P-1/P+1/ECM available, skipping
  209. Wed Apr 15 17:30:04 2026 commencing number field sieve (247-digit input)
  210. Wed Apr 15 17:30:04 2026 R0: 1
  211. Wed Apr 15 17:30:04 2026 R1: -15636047700684785798246545312090090884567001
  212. Wed Apr 15 17:30:04 2026 A0: -251
  213. Wed Apr 15 17:30:04 2026 A1: 0
  214. Wed Apr 15 17:30:04 2026 A2: 0
  215. Wed Apr 15 17:30:04 2026 A3: 0
  216. Wed Apr 15 17:30:04 2026 A4: 0
  217. Wed Apr 15 17:30:04 2026 A5: 0
  218. Wed Apr 15 17:30:04 2026 A6: 1
  219. Wed Apr 15 17:30:04 2026 skew 1.94, size 4.539e-13, alpha 1.973, combined = 6.560e-14 rroots = 2
  220. Wed Apr 15 17:30:04 2026
  221. Wed Apr 15 17:30:04 2026 commencing square root phase
  222. Wed Apr 15 17:30:04 2026 reading relations for dependency 1
  223. Wed Apr 15 17:30:05 2026 read 8911764 cycles
  224. Wed Apr 15 17:30:14 2026 cycles contain 29720106 unique relations
  225. Wed Apr 15 17:30:32 2026 read 29720106 relations
  226. Wed Apr 15 17:31:36 2026 multiplying 29720106 relations
  227. Wed Apr 15 17:32:56 2026 multiply complete, coefficients have about 796.09 million bits
  228. Wed Apr 15 17:32:57 2026 initial square root is modulo 13871071
  229. Wed Apr 15 17:35:49 2026 sqrtTime: 345
  230. Wed Apr 15 17:35:49 2026 p92 factor: 17764884273431018921493080856724625921812288732784810134585730499828648444310409758476046799
  231. Wed Apr 15 17:35:49 2026 p156 factor: 152581012280849325002377369735506096894438661170414371623896517243424084840867544320911105724279162770257253036540354294901904279013555386712686542467691971
  232. Wed Apr 15 17:35:49 2026 elapsed time 00:05:46
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