kyleaskine

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Feb 3rd, 2026
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  1. Tue Feb 3 16:15:55 2026
  2. Tue Feb 3 16:15:55 2026
  3. Tue Feb 3 16:15:55 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Feb 3 16:15:55 2026 random seeds: a015e0da bd0afdea
  5. Tue Feb 3 16:15:55 2026 Using 8 OpenMP threads
  6. Tue Feb 3 16:15:55 2026 factoring 2484248495945412182465990822601945259275614176720173319975236948952888129962909163553106178238818947257452363098394138518603698633366027893460507517579402186485707 (163 digits)
  7. Tue Feb 3 16:15:56 2026 searching for 15-digit factors
  8. Tue Feb 3 16:15:56 2026 commencing number field sieve (163-digit input)
  9. Tue Feb 3 16:15:56 2026 R0: -35165070845437879535993727927046
  10. Tue Feb 3 16:15:56 2026 R1: 360713021163619603013
  11. Tue Feb 3 16:15:56 2026 A0: -769903459565882621095217821783700681616
  12. Tue Feb 3 16:15:56 2026 A1: 1272827258393011516927548557577307
  13. Tue Feb 3 16:15:56 2026 A2: 124571738524829876116014558
  14. Tue Feb 3 16:15:56 2026 A3: -46369394167762397719
  15. Tue Feb 3 16:15:56 2026 A4: -274772369394
  16. Tue Feb 3 16:15:56 2026 A5: 277200
  17. Tue Feb 3 16:15:56 2026 skew 1.00, size 1.080e-15, alpha -8.128, combined = 7.174e-15 rroots = 3
  18. Tue Feb 3 16:15:56 2026
  19. Tue Feb 3 16:15:56 2026 commencing relation filtering
  20. Tue Feb 3 16:15:56 2026 estimated available RAM is 78540.1 MB
  21. Tue Feb 3 16:15:56 2026 commencing duplicate removal, pass 1
  22. Tue Feb 3 16:17:37 2026 error -1 reading relation 34675321
  23. Tue Feb 3 16:20:41 2026 error -1 reading relation 99832040
  24. Tue Feb 3 16:21:50 2026 error -1 reading relation 123752595
  25. Tue Feb 3 16:22:03 2026 error -1 reading relation 128551394
  26. Tue Feb 3 16:22:12 2026 skipped 60 malformed relations
  27. Tue Feb 3 16:22:12 2026 found 17406234 hash collisions in 131489081 relations
  28. Tue Feb 3 16:22:30 2026 commencing duplicate removal, pass 2
  29. Tue Feb 3 16:23:25 2026 found 15957815 duplicates and 115531266 unique relations
  30. Tue Feb 3 16:23:25 2026 memory use: 554.4 MB
  31. Tue Feb 3 16:23:25 2026 reading ideals above 720000
  32. Tue Feb 3 16:23:25 2026 commencing singleton removal, initial pass
  33. Tue Feb 3 16:33:02 2026 memory use: 3012.0 MB
  34. Tue Feb 3 16:33:02 2026 reading all ideals from disk
  35. Tue Feb 3 16:33:05 2026 memory use: 5210.5 MB
  36. Tue Feb 3 16:33:16 2026 keeping 115814834 ideals with weight <= 200, target excess is 606065
  37. Tue Feb 3 16:33:28 2026 commencing in-memory singleton removal
  38. Tue Feb 3 16:33:31 2026 begin with 115531266 relations and 115814834 unique ideals
  39. Tue Feb 3 16:33:50 2026 reduce to 56802660 relations and 49183709 ideals in 16 passes
  40. Tue Feb 3 16:33:50 2026 max relations containing the same ideal: 130
  41. Tue Feb 3 16:34:18 2026 removing 6735366 relations and 5735366 ideals in 1000000 cliques
  42. Tue Feb 3 16:34:20 2026 commencing in-memory singleton removal
  43. Tue Feb 3 16:34:21 2026 begin with 50067294 relations and 49183709 unique ideals
  44. Tue Feb 3 16:34:30 2026 reduce to 49482658 relations and 42850447 ideals in 10 passes
  45. Tue Feb 3 16:34:30 2026 max relations containing the same ideal: 118
  46. Tue Feb 3 16:34:53 2026 removing 5067599 relations and 4067599 ideals in 1000000 cliques
  47. Tue Feb 3 16:34:55 2026 commencing in-memory singleton removal
  48. Tue Feb 3 16:34:55 2026 begin with 44415059 relations and 42850447 unique ideals
  49. Tue Feb 3 16:35:02 2026 reduce to 44025208 relations and 38385178 ideals in 9 passes
  50. Tue Feb 3 16:35:02 2026 max relations containing the same ideal: 110
  51. Tue Feb 3 16:35:23 2026 removing 4550097 relations and 3550097 ideals in 1000000 cliques
  52. Tue Feb 3 16:35:24 2026 commencing in-memory singleton removal
  53. Tue Feb 3 16:35:25 2026 begin with 39475111 relations and 38385178 unique ideals
  54. Tue Feb 3 16:35:30 2026 reduce to 39123892 relations and 34476508 ideals in 8 passes
  55. Tue Feb 3 16:35:30 2026 max relations containing the same ideal: 100
  56. Tue Feb 3 16:35:49 2026 removing 4285200 relations and 3285200 ideals in 1000000 cliques
  57. Tue Feb 3 16:35:50 2026 commencing in-memory singleton removal
  58. Tue Feb 3 16:35:51 2026 begin with 34838692 relations and 34476508 unique ideals
  59. Tue Feb 3 16:35:56 2026 reduce to 34495145 relations and 30840056 ideals in 9 passes
  60. Tue Feb 3 16:35:56 2026 max relations containing the same ideal: 97
  61. Tue Feb 3 16:36:13 2026 removing 4114378 relations and 3114378 ideals in 1000000 cliques
  62. Tue Feb 3 16:36:14 2026 commencing in-memory singleton removal
  63. Tue Feb 3 16:36:15 2026 begin with 30380767 relations and 30840056 unique ideals
  64. Tue Feb 3 16:36:18 2026 reduce to 30030986 relations and 27367173 ideals in 8 passes
  65. Tue Feb 3 16:36:18 2026 max relations containing the same ideal: 86
  66. Tue Feb 3 16:36:33 2026 removing 4004339 relations and 3004339 ideals in 1000000 cliques
  67. Tue Feb 3 16:36:34 2026 commencing in-memory singleton removal
  68. Tue Feb 3 16:36:34 2026 begin with 26026647 relations and 27367173 unique ideals
  69. Tue Feb 3 16:36:38 2026 reduce to 25658666 relations and 23984459 ideals in 8 passes
  70. Tue Feb 3 16:36:38 2026 max relations containing the same ideal: 79
  71. Tue Feb 3 16:36:51 2026 removing 3823477 relations and 2852306 ideals in 971171 cliques
  72. Tue Feb 3 16:36:52 2026 commencing in-memory singleton removal
  73. Tue Feb 3 16:36:52 2026 begin with 21835189 relations and 23984459 unique ideals
  74. Tue Feb 3 16:36:55 2026 reduce to 21453161 relations and 20737718 ideals in 10 passes
  75. Tue Feb 3 16:36:55 2026 max relations containing the same ideal: 69
  76. Tue Feb 3 16:37:07 2026 removing 102181 relations and 89774 ideals in 12407 cliques
  77. Tue Feb 3 16:37:08 2026 commencing in-memory singleton removal
  78. Tue Feb 3 16:37:08 2026 begin with 21350980 relations and 20737718 unique ideals
  79. Tue Feb 3 16:37:10 2026 reduce to 21350719 relations and 20647683 ideals in 6 passes
  80. Tue Feb 3 16:37:10 2026 max relations containing the same ideal: 69
  81. Tue Feb 3 16:37:13 2026 relations with 0 large ideals: 2164
  82. Tue Feb 3 16:37:13 2026 relations with 1 large ideals: 11559
  83. Tue Feb 3 16:37:13 2026 relations with 2 large ideals: 160906
  84. Tue Feb 3 16:37:13 2026 relations with 3 large ideals: 952485
  85. Tue Feb 3 16:37:13 2026 relations with 4 large ideals: 2968149
  86. Tue Feb 3 16:37:13 2026 relations with 5 large ideals: 5360830
  87. Tue Feb 3 16:37:13 2026 relations with 6 large ideals: 5893676
  88. Tue Feb 3 16:37:13 2026 relations with 7+ large ideals: 6000950
  89. Tue Feb 3 16:37:13 2026 commencing 2-way merge
  90. Tue Feb 3 16:37:26 2026 reduce to 13171773 relation sets and 12468737 unique ideals
  91. Tue Feb 3 16:37:26 2026 commencing full merge
  92. Tue Feb 3 16:41:55 2026 memory use: 1578.1 MB
  93. Tue Feb 3 16:41:56 2026 found 6624021 cycles, need 6530937
  94. Tue Feb 3 16:41:58 2026 weight of 6530937 cycles is about 588018539 (90.04/cycle)
  95. Tue Feb 3 16:41:58 2026 distribution of cycle lengths:
  96. Tue Feb 3 16:41:58 2026 1 relations: 469740
  97. Tue Feb 3 16:41:58 2026 2 relations: 611064
  98. Tue Feb 3 16:41:58 2026 3 relations: 657172
  99. Tue Feb 3 16:41:58 2026 4 relations: 636002
  100. Tue Feb 3 16:41:58 2026 5 relations: 618936
  101. Tue Feb 3 16:41:58 2026 6 relations: 574489
  102. Tue Feb 3 16:41:58 2026 7 relations: 531406
  103. Tue Feb 3 16:41:58 2026 8 relations: 474227
  104. Tue Feb 3 16:41:58 2026 9 relations: 414661
  105. Tue Feb 3 16:41:58 2026 10+ relations: 1543240
  106. Tue Feb 3 16:41:58 2026 heaviest cycle: 22 relations
  107. Tue Feb 3 16:42:00 2026 commencing cycle optimization
  108. Tue Feb 3 16:42:09 2026 start with 43498955 relations
  109. Tue Feb 3 16:43:02 2026 pruned 1394260 relations
  110. Tue Feb 3 16:43:03 2026 memory use: 1326.3 MB
  111. Tue Feb 3 16:43:03 2026 distribution of cycle lengths:
  112. Tue Feb 3 16:43:03 2026 1 relations: 469740
  113. Tue Feb 3 16:43:03 2026 2 relations: 626011
  114. Tue Feb 3 16:43:03 2026 3 relations: 683866
  115. Tue Feb 3 16:43:03 2026 4 relations: 657698
  116. Tue Feb 3 16:43:03 2026 5 relations: 641601
  117. Tue Feb 3 16:43:03 2026 6 relations: 592308
  118. Tue Feb 3 16:43:03 2026 7 relations: 547078
  119. Tue Feb 3 16:43:03 2026 8 relations: 482802
  120. Tue Feb 3 16:43:03 2026 9 relations: 418537
  121. Tue Feb 3 16:43:03 2026 10+ relations: 1411296
  122. Tue Feb 3 16:43:03 2026 heaviest cycle: 21 relations
  123. Tue Feb 3 16:43:12 2026 RelProcTime: 1636
  124. Tue Feb 3 16:43:12 2026
  125. Tue Feb 3 16:43:12 2026 commencing linear algebra
  126. Tue Feb 3 16:43:12 2026 using VBITS=256
  127. Tue Feb 3 16:43:12 2026 read 6530937 cycles
  128. Tue Feb 3 16:43:19 2026 cycles contain 20900666 unique relations
  129. Tue Feb 3 16:43:42 2026 read 20900666 relations
  130. Tue Feb 3 16:43:46 2026 using 20 quadratic characters above 4294917295
  131. Tue Feb 3 16:43:54 2026 building initial matrix
  132. Tue Feb 3 16:47:00 2026 memory use: 2923.0 MB
  133. Tue Feb 3 16:47:02 2026 read 6530937 cycles
  134. Tue Feb 3 16:47:03 2026 matrix is 6530758 x 6530937 (2436.7 MB) with weight 766157729 (117.31/col)
  135. Tue Feb 3 16:47:03 2026 sparse part has weight 560393384 (85.81/col)
  136. Tue Feb 3 16:47:44 2026 filtering completed in 2 passes
  137. Tue Feb 3 16:47:45 2026 matrix is 6529580 x 6529758 (2436.6 MB) with weight 766102954 (117.32/col)
  138. Tue Feb 3 16:47:45 2026 sparse part has weight 560376719 (85.82/col)
  139. Tue Feb 3 16:47:55 2026 matrix starts at (0, 0)
  140. Tue Feb 3 16:47:55 2026 matrix is 6529580 x 6529758 (2436.6 MB) with weight 766102954 (117.32/col)
  141. Tue Feb 3 16:47:55 2026 sparse part has weight 560376719 (85.82/col)
  142. Tue Feb 3 16:47:55 2026 saving the first 240 matrix rows for later
  143. Tue Feb 3 16:47:56 2026 matrix includes 256 packed rows
  144. Tue Feb 3 16:47:57 2026 matrix is 6529340 x 6529758 (2225.7 MB) with weight 512615513 (78.50/col)
  145. Tue Feb 3 16:47:57 2026 sparse part has weight 478978869 (73.35/col)
  146. Tue Feb 3 16:47:58 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  147. Tue Feb 3 16:47:58 2026 selected card has CUDA arch 12.0
  148. Tue Feb 3 16:48:22 2026 commencing Lanczos iteration
  149. Tue Feb 3 16:48:22 2026 memory use: 5298.3 MB
  150. Tue Feb 3 16:48:56 2026 linear algebra at 0.5%, ETA 2h 0m
  151. Tue Feb 3 16:49:47 2026 checking every 50000 dimensions, checkpointing every 3300000 dimensions
  152. Tue Feb 3 17:47:26 2026 lanczos halted after 25584 iterations (dim = 6529340)
  153. Tue Feb 3 17:47:45 2026 recovered 32 nontrivial dependencies
  154. Tue Feb 3 17:47:45 2026 BLanczosTime: 3873
  155. Tue Feb 3 17:47:45 2026
  156. Tue Feb 3 17:47:45 2026 commencing square root phase
  157. Tue Feb 3 17:47:45 2026 reading relations for dependency 1
  158. Tue Feb 3 17:47:46 2026 read 3264056 cycles
  159. Tue Feb 3 17:47:52 2026 cycles contain 10447836 unique relations
  160. Tue Feb 3 17:48:11 2026 read 10447836 relations
  161. Tue Feb 3 17:48:55 2026 multiplying 10447836 relations
  162. Tue Feb 3 17:50:14 2026 multiply complete, coefficients have about 566.21 million bits
  163. Tue Feb 3 17:50:16 2026 initial square root is modulo 120157
  164. Tue Feb 3 17:53:40 2026 GCD is 1, no factor found
  165. Tue Feb 3 17:53:40 2026 reading relations for dependency 2
  166. Tue Feb 3 17:53:40 2026 read 3263920 cycles
  167. Tue Feb 3 17:53:46 2026 cycles contain 10449762 unique relations
  168. Tue Feb 3 17:54:03 2026 read 10449762 relations
  169. Tue Feb 3 17:54:49 2026 multiplying 10449762 relations
  170. Tue Feb 3 17:56:10 2026 multiply complete, coefficients have about 566.30 million bits
  171. Tue Feb 3 17:56:12 2026 initial square root is modulo 120427
  172. Tue Feb 3 17:59:44 2026 sqrtTime: 719
  173. Tue Feb 3 17:59:44 2026 p65 factor: 67681512622104719190086219500072087725660379884622234465660020637
  174. Tue Feb 3 17:59:44 2026 p98 factor: 36704978947737922304476062779548956818261007467828539837492170252859291069262254392893987188735111
  175. Tue Feb 3 17:59:44 2026 elapsed time 01:43:49
  176.  
Tags: math
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