kyleaskine

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Mar 18th, 2026
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  1. Tue Mar 17 22:03:20 2026
  2. Tue Mar 17 22:03:20 2026
  3. Tue Mar 17 22:03:20 2026 Msieve v. 1.54 (SVN unknown)
  4. Tue Mar 17 22:03:20 2026 random seeds: 4229589c d3f59134
  5. Tue Mar 17 22:03:20 2026 factoring 2677784705213309771156640429945135368858177457484774750681220496948347580920079822645342509341006899170712017356582657121971968139578037140677231136793724228201732549991940984637929176660283123556952730103197237153491552121055249 (229 digits)
  6. Tue Mar 17 22:03:20 2026 no P-1/P+1/ECM available, skipping
  7. Tue Mar 17 22:03:20 2026 commencing number field sieve (229-digit input)
  8. Tue Mar 17 22:03:20 2026 R0: 3413886954321569112810407949768298909789
  9. Tue Mar 17 22:03:20 2026 R1: -1
  10. Tue Mar 17 22:03:20 2026 A0: 1
  11. Tue Mar 17 22:03:20 2026 A1: 1
  12. Tue Mar 17 22:03:20 2026 A2: 1
  13. Tue Mar 17 22:03:20 2026 A3: 1
  14. Tue Mar 17 22:03:20 2026 A4: 1
  15. Tue Mar 17 22:03:20 2026 A5: 1
  16. Tue Mar 17 22:03:20 2026 A6: 1
  17. Tue Mar 17 22:03:20 2026 skew 1.35, size 9.856e-12, alpha 2.428, combined = 6.344e-13 rroots = 0
  18. Tue Mar 17 22:03:20 2026
  19. Tue Mar 17 22:03:20 2026 commencing relation filtering
  20. Tue Mar 17 22:03:20 2026 setting target matrix density to 120.0
  21. Tue Mar 17 22:03:20 2026 estimated available RAM is 95911.2 MB
  22. Tue Mar 17 22:03:20 2026 commencing duplicate removal, pass 1
  23. Tue Mar 17 22:12:37 2026
  24. Tue Mar 17 22:12:37 2026
  25. Tue Mar 17 22:12:37 2026 Msieve v. 1.54 (SVN unknown)
  26. Tue Mar 17 22:12:37 2026 random seeds: 404c00d0 9c169740
  27. Tue Mar 17 22:12:37 2026 factoring 274087323509565688519165730380489746356460381466758571546705651354575973669893520915444168884155759547381940189386036470941279244536189812991998027539867858483978808944130363261714131766359514150963781 (201 digits)
  28. Tue Mar 17 22:12:38 2026 no P-1/P+1/ECM available, skipping
  29. Tue Mar 17 22:12:38 2026 commencing number field sieve (201-digit input)
  30. Tue Mar 17 22:12:38 2026 R0: 303192841929226326245045495760520081202
  31. Tue Mar 17 22:12:38 2026 R1: -17412433544143860601
  32. Tue Mar 17 22:12:38 2026 A0: -1
  33. Tue Mar 17 22:12:38 2026 A1: 3
  34. Tue Mar 17 22:12:38 2026 A2: 6
  35. Tue Mar 17 22:12:38 2026 A3: -4
  36. Tue Mar 17 22:12:38 2026 A4: -5
  37. Tue Mar 17 22:12:38 2026 A5: 1
  38. Tue Mar 17 22:12:38 2026 A6: 1
  39. Tue Mar 17 22:12:38 2026 skew 1.37, size 2.280e-11, alpha 3.126, combined = 1.145e-12 rroots = 6
  40. Tue Mar 17 22:12:38 2026
  41. Tue Mar 17 22:12:38 2026 commencing relation filtering
  42. Tue Mar 17 22:12:38 2026 setting target matrix density to 80.0
  43. Tue Mar 17 22:12:38 2026 estimated available RAM is 95911.2 MB
  44. Tue Mar 17 22:12:38 2026 commencing duplicate removal, pass 1
  45. Tue Mar 17 22:13:11 2026 error -9 reading relation 7587749
  46. Tue Mar 17 22:13:13 2026 error -15 reading relation 7997164
  47. Tue Mar 17 22:14:15 2026 error -9 reading relation 22038924
  48. Tue Mar 17 22:15:44 2026 error -9 reading relation 40691404
  49. Tue Mar 17 22:15:45 2026 error -1 reading relation 40842182
  50. Tue Mar 17 22:16:08 2026 error -15 reading relation 45592141
  51. Tue Mar 17 22:16:18 2026 error -1 reading relation 47701077
  52. Tue Mar 17 22:16:25 2026 error -9 reading relation 49161416
  53. Tue Mar 17 22:16:32 2026 error -9 reading relation 50669325
  54. Tue Mar 17 22:16:34 2026 error -5 reading relation 51034201
  55. Tue Mar 17 22:17:21 2026 error -9 reading relation 61118194
  56. Tue Mar 17 22:17:50 2026 error -9 reading relation 67160756
  57. Tue Mar 17 22:18:03 2026 error -15 reading relation 69814219
  58. Tue Mar 17 22:18:58 2026 error -9 reading relation 81239423
  59. Tue Mar 17 22:19:02 2026 error -15 reading relation 82164492
  60. Tue Mar 17 22:19:03 2026 error -1 reading relation 82497849
  61. Tue Mar 17 22:19:06 2026 error -1 reading relation 83203552
  62. Tue Mar 17 22:19:08 2026 error -9 reading relation 83694345
  63. Tue Mar 17 22:19:08 2026 error -15 reading relation 83694381
  64. Tue Mar 17 22:19:23 2026 error -15 reading relation 87393125
  65. Tue Mar 17 22:19:24 2026 error -9 reading relation 87449377
  66. Tue Mar 17 22:19:25 2026 error -9 reading relation 87850391
  67. Tue Mar 17 22:19:29 2026 error -15 reading relation 88773673
  68. Tue Mar 17 22:19:32 2026 error -15 reading relation 89484904
  69. Tue Mar 17 22:19:32 2026 error -9 reading relation 89492364
  70. Tue Mar 17 22:19:32 2026 error -9 reading relation 89528696
  71. Tue Mar 17 22:19:33 2026 error -1 reading relation 89659769
  72. Tue Mar 17 22:19:33 2026 error -9 reading relation 89739750
  73. Tue Mar 17 22:19:33 2026 error -9 reading relation 89746916
  74. Tue Mar 17 22:19:38 2026 error -1 reading relation 90758005
  75. Tue Mar 17 22:19:38 2026 error -15 reading relation 90765535
  76. Tue Mar 17 22:20:04 2026 error -5 reading relation 97154244
  77. Tue Mar 17 22:20:19 2026 error -15 reading relation 100683559
  78. Tue Mar 17 22:20:24 2026 error -1 reading relation 101869267
  79. Tue Mar 17 22:20:26 2026 error -9 reading relation 102234309
  80. Tue Mar 17 22:20:26 2026 error -1 reading relation 102236791
  81. Tue Mar 17 22:20:27 2026 error -9 reading relation 102446087
  82. Tue Mar 17 22:20:27 2026 error -1 reading relation 102448424
  83. Tue Mar 17 22:20:38 2026 error -9 reading relation 105271208
  84. Tue Mar 17 22:20:46 2026 error -15 reading relation 107163508
  85. Tue Mar 17 22:20:55 2026 error -1 reading relation 109133142
  86. Tue Mar 17 22:21:06 2026 error -9 reading relation 111493358
  87. Tue Mar 17 22:21:06 2026 error -15 reading relation 111584054
  88. Tue Mar 17 22:21:07 2026 error -9 reading relation 111682814
  89. Tue Mar 17 22:21:44 2026 skipped 3 relations with b > 2^32
  90. Tue Mar 17 22:21:44 2026 skipped 17 relations with composite factors
  91. Tue Mar 17 22:21:44 2026 found 22519483 hash collisions in 120826027 relations
  92. Tue Mar 17 22:22:02 2026 added 2438358 free relations
  93. Tue Mar 17 22:22:02 2026 commencing duplicate removal, pass 2
  94. Tue Mar 17 22:23:28 2026 found 21376534 duplicates and 101887851 unique relations
  95. Tue Mar 17 22:23:28 2026 memory use: 660.8 MB
  96. Tue Mar 17 22:23:29 2026 reading ideals above 720000
  97. Tue Mar 17 22:23:29 2026 commencing singleton removal, initial pass
  98. Tue Mar 17 22:35:04 2026 memory use: 3012.0 MB
  99. Tue Mar 17 22:35:04 2026 reading all ideals from disk
  100. Tue Mar 17 22:35:06 2026 memory use: 3803.6 MB
  101. Tue Mar 17 22:35:17 2026 keeping 109349064 ideals with weight <= 200, target excess is 522359
  102. Tue Mar 17 22:35:34 2026 commencing in-memory singleton removal
  103. Tue Mar 17 22:35:43 2026 begin with 101887851 relations and 109349064 unique ideals
  104. Tue Mar 17 22:37:37 2026 reduce to 41340408 relations and 39065766 ideals in 20 passes
  105. Tue Mar 17 22:37:37 2026 max relations containing the same ideal: 111
  106. Tue Mar 17 22:38:09 2026 removing 4077346 relations and 3677346 ideals in 400000 cliques
  107. Tue Mar 17 22:38:11 2026 commencing in-memory singleton removal
  108. Tue Mar 17 22:38:14 2026 begin with 37263062 relations and 39065766 unique ideals
  109. Tue Mar 17 22:39:00 2026 reduce to 36856562 relations and 34975832 ideals in 11 passes
  110. Tue Mar 17 22:39:00 2026 max relations containing the same ideal: 104
  111. Tue Mar 17 22:39:26 2026 removing 3026831 relations and 2626831 ideals in 400000 cliques
  112. Tue Mar 17 22:39:27 2026 commencing in-memory singleton removal
  113. Tue Mar 17 22:39:30 2026 begin with 33829731 relations and 34975832 unique ideals
  114. Tue Mar 17 22:40:05 2026 reduce to 33584809 relations and 32101005 ideals in 10 passes
  115. Tue Mar 17 22:40:05 2026 max relations containing the same ideal: 97
  116. Tue Mar 17 22:40:28 2026 removing 2697878 relations and 2297878 ideals in 400000 cliques
  117. Tue Mar 17 22:40:29 2026 commencing in-memory singleton removal
  118. Tue Mar 17 22:40:32 2026 begin with 30886931 relations and 32101005 unique ideals
  119. Tue Mar 17 22:41:03 2026 reduce to 30678565 relations and 29592069 ideals in 10 passes
  120. Tue Mar 17 22:41:03 2026 max relations containing the same ideal: 91
  121. Tue Mar 17 22:41:24 2026 removing 2525698 relations and 2125698 ideals in 400000 cliques
  122. Tue Mar 17 22:41:25 2026 commencing in-memory singleton removal
  123. Tue Mar 17 22:41:27 2026 begin with 28152867 relations and 29592069 unique ideals
  124. Tue Mar 17 22:41:49 2026 reduce to 27957519 relations and 27268463 ideals in 8 passes
  125. Tue Mar 17 22:41:49 2026 max relations containing the same ideal: 86
  126. Tue Mar 17 22:42:09 2026 removing 687366 relations and 604247 ideals in 83119 cliques
  127. Tue Mar 17 22:42:10 2026 commencing in-memory singleton removal
  128. Tue Mar 17 22:42:12 2026 begin with 27270153 relations and 27268463 unique ideals
  129. Tue Mar 17 22:42:31 2026 reduce to 27256177 relations and 26650203 ideals in 7 passes
  130. Tue Mar 17 22:42:31 2026 max relations containing the same ideal: 84
  131. Tue Mar 17 22:42:35 2026 relations with 0 large ideals: 40044
  132. Tue Mar 17 22:42:35 2026 relations with 1 large ideals: 9032
  133. Tue Mar 17 22:42:35 2026 relations with 2 large ideals: 113624
  134. Tue Mar 17 22:42:35 2026 relations with 3 large ideals: 750223
  135. Tue Mar 17 22:42:35 2026 relations with 4 large ideals: 2705615
  136. Tue Mar 17 22:42:35 2026 relations with 5 large ideals: 5740739
  137. Tue Mar 17 22:42:35 2026 relations with 6 large ideals: 7409553
  138. Tue Mar 17 22:42:35 2026 relations with 7+ large ideals: 10487347
  139. Tue Mar 17 22:42:35 2026 commencing 2-way merge
  140. Tue Mar 17 22:43:07 2026 reduce to 16108027 relation sets and 15502053 unique ideals
  141. Tue Mar 17 22:43:07 2026 commencing full merge
  142. Tue Mar 17 22:51:07 2026 memory use: 2005.3 MB
  143. Tue Mar 17 22:51:13 2026 found 8088630 cycles, need 8016253
  144. Tue Mar 17 22:51:14 2026 weight of 8016253 cycles is about 641593031 (80.04/cycle)
  145. Tue Mar 17 22:51:14 2026 distribution of cycle lengths:
  146. Tue Mar 17 22:51:14 2026 1 relations: 1093574
  147. Tue Mar 17 22:51:14 2026 2 relations: 919887
  148. Tue Mar 17 22:51:14 2026 3 relations: 830281
  149. Tue Mar 17 22:51:14 2026 4 relations: 736403
  150. Tue Mar 17 22:51:14 2026 5 relations: 661869
  151. Tue Mar 17 22:51:14 2026 6 relations: 574864
  152. Tue Mar 17 22:51:14 2026 7 relations: 498359
  153. Tue Mar 17 22:51:14 2026 8 relations: 441328
  154. Tue Mar 17 22:51:14 2026 9 relations: 386416
  155. Tue Mar 17 22:51:14 2026 10+ relations: 1873272
  156. Tue Mar 17 22:51:14 2026 heaviest cycle: 27 relations
  157. Tue Mar 17 22:51:20 2026 commencing cycle optimization
  158. Tue Mar 17 22:51:39 2026 start with 50932182 relations
  159. Tue Mar 17 22:54:14 2026 pruned 1204939 relations
  160. Tue Mar 17 22:54:14 2026 memory use: 1623.3 MB
  161. Tue Mar 17 22:54:14 2026 distribution of cycle lengths:
  162. Tue Mar 17 22:54:14 2026 1 relations: 1093574
  163. Tue Mar 17 22:54:14 2026 2 relations: 935494
  164. Tue Mar 17 22:54:14 2026 3 relations: 854598
  165. Tue Mar 17 22:54:14 2026 4 relations: 751821
  166. Tue Mar 17 22:54:14 2026 5 relations: 677045
  167. Tue Mar 17 22:54:14 2026 6 relations: 583130
  168. Tue Mar 17 22:54:14 2026 7 relations: 506365
  169. Tue Mar 17 22:54:14 2026 8 relations: 444155
  170. Tue Mar 17 22:54:14 2026 9 relations: 387754
  171. Tue Mar 17 22:54:14 2026 10+ relations: 1782317
  172. Tue Mar 17 22:54:14 2026 heaviest cycle: 26 relations
  173. Tue Mar 17 22:54:32 2026 RelProcTime: 2514
  174. Tue Mar 17 22:54:32 2026
  175. Tue Mar 17 22:54:32 2026 commencing linear algebra
  176. Tue Mar 17 22:54:33 2026 read 8016253 cycles
  177. Tue Mar 17 22:54:51 2026 cycles contain 26753265 unique relations
  178. Tue Mar 17 22:56:26 2026 read 26753265 relations
  179. Tue Mar 17 22:57:36 2026 using 20 quadratic characters above 4294917295
  180. Tue Mar 17 22:58:35 2026 building initial matrix
  181. Tue Mar 17 23:03:15 2026 memory use: 3142.1 MB
  182. Tue Mar 17 23:03:26 2026 read 8016253 cycles
  183. Tue Mar 17 23:03:27 2026 matrix is 8016073 x 8016253 (2666.4 MB) with weight 760511475 (94.87/col)
  184. Tue Mar 17 23:03:27 2026 sparse part has weight 618819922 (77.20/col)
  185. Tue Mar 17 23:05:01 2026 filtering completed in 2 passes
  186. Tue Mar 17 23:05:02 2026 matrix is 8009617 x 8009792 (2665.9 MB) with weight 760332960 (94.93/col)
  187. Tue Mar 17 23:05:02 2026 sparse part has weight 618757397 (77.25/col)
  188. Tue Mar 17 23:05:26 2026 matrix starts at (0, 0)
  189. Tue Mar 17 23:05:28 2026 matrix is 8009617 x 8009792 (2665.9 MB) with weight 760332960 (94.93/col)
  190. Tue Mar 17 23:05:28 2026 sparse part has weight 618757397 (77.25/col)
  191. Tue Mar 17 23:05:28 2026 saving the first 112 matrix rows for later
  192. Tue Mar 17 23:05:31 2026 matrix includes 128 packed rows
  193. Tue Mar 17 23:05:32 2026 matrix is 8009505 x 8009792 (2502.3 MB) with weight 591021971 (73.79/col)
  194. Tue Mar 17 23:05:32 2026 sparse part has weight 559841059 (69.89/col)
  195. Tue Mar 17 23:05:32 2026 using block size 8192 and superblock size 9437184 for processor cache size 196608 kB
  196. Tue Mar 17 23:05:52 2026 commencing Lanczos iteration (32 threads)
  197. Tue Mar 17 23:05:52 2026 memory use: 2944.2 MB
  198. Tue Mar 17 23:05:52 2026 VBITS = 128
  199. Tue Mar 17 23:06:04 2026 linear algebra at 0.0%, ETA 15h59m
  200. Tue Mar 17 23:06:08 2026 checkpointing every 490000 dimensions
  201. Wed Mar 18 09:16:14 2026 lanczos halted after 62950 iterations (dim = 8009503)
  202. Wed Mar 18 09:16:20 2026 recovered 34 nontrivial dependencies
  203. Wed Mar 18 09:16:21 2026 BLanczosTime: 37309
  204. Wed Mar 18 09:16:21 2026
  205. Wed Mar 18 09:16:21 2026 commencing square root phase
  206. Wed Mar 18 09:16:21 2026 handling dependencies 1 to 64
  207. Wed Mar 18 09:16:21 2026 reading relations for dependency 1
  208. Wed Mar 18 09:16:22 2026 read 4005935 cycles
  209. Wed Mar 18 09:16:25 2026 cycles contain 13378026 unique relations
  210. Wed Mar 18 09:16:53 2026 read 13378026 relations
  211. Wed Mar 18 09:17:15 2026 multiplying 13378026 relations
  212. Wed Mar 18 09:20:40 2026 multiply complete, coefficients have about 322.90 million bits
  213. Wed Mar 18 09:20:42 2026 initial square root is modulo 622187
  214. Wed Mar 18 09:27:58 2026 sqrtTime: 697
  215. Wed Mar 18 09:27:58 2026 p59 factor: 28288941922639733107545921394076248992252806535021429735427
  216. Wed Mar 18 09:27:58 2026 p142 factor: 9688850302676492242631543160690732098787901734923129743338102993015792195262099232699995175580615019781885755089071233930374297744353717972503
  217. Wed Mar 18 09:27:58 2026 elapsed time 11:15:21
  218.  
Tags: math
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