kyleaskine

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Jan 24th, 2026
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  1. Sat Jan 24 09:14:25 2026
  2. Sat Jan 24 09:14:25 2026
  3. Sat Jan 24 09:14:25 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Jan 24 09:14:25 2026 random seeds: cef8759f cb9519f5
  5. Sat Jan 24 09:14:25 2026 Using 8 OpenMP threads
  6. Sat Jan 24 09:14:25 2026 factoring 16939573480197043095939933441977236559686054871859619452660927937050343100418796260535652883604309196051686977025635189296503667487032871454362609796546801977220871 (164 digits)
  7. Sat Jan 24 09:14:26 2026 searching for 15-digit factors
  8. Sat Jan 24 09:14:26 2026 commencing number field sieve (164-digit input)
  9. Sat Jan 24 09:14:26 2026 R0: -51621555150897348255437447401924
  10. Sat Jan 24 09:14:26 2026 R1: 311827229529142482247
  11. Sat Jan 24 09:14:26 2026 A0: 854085024044816642164568467009404839802
  12. Sat Jan 24 09:14:26 2026 A1: -224510892411077786395251299546659
  13. Sat Jan 24 09:14:26 2026 A2: -596239987933647454844554722
  14. Sat Jan 24 09:14:26 2026 A3: 25817774917587346969
  15. Sat Jan 24 09:14:26 2026 A4: 11103880455630
  16. Sat Jan 24 09:14:26 2026 A5: 277200
  17. Sat Jan 24 09:14:26 2026 skew 1.00, size 8.656e-16, alpha -8.191, combined = 6.613e-15 rroots = 5
  18. Sat Jan 24 09:14:26 2026
  19. Sat Jan 24 09:14:26 2026 commencing relation filtering
  20. Sat Jan 24 09:14:26 2026 estimated available RAM is 78540.1 MB
  21. Sat Jan 24 09:14:26 2026 commencing duplicate removal, pass 1
  22. Sat Jan 24 09:22:10 2026 error -1 reading relation 174300582
  23. Sat Jan 24 09:22:38 2026 skipped 25 malformed relations
  24. Sat Jan 24 09:22:38 2026 found 26148933 hash collisions in 184886888 relations
  25. Sat Jan 24 09:22:56 2026 added 122215 free relations
  26. Sat Jan 24 09:22:56 2026 commencing duplicate removal, pass 2
  27. Sat Jan 24 09:24:25 2026 found 22994230 duplicates and 162014873 unique relations
  28. Sat Jan 24 09:24:25 2026 memory use: 852.8 MB
  29. Sat Jan 24 09:24:25 2026 reading ideals above 720000
  30. Sat Jan 24 09:24:26 2026 commencing singleton removal, initial pass
  31. Sat Jan 24 09:39:21 2026 memory use: 3012.0 MB
  32. Sat Jan 24 09:39:21 2026 reading all ideals from disk
  33. Sat Jan 24 09:39:26 2026 memory use: 7304.2 MB
  34. Sat Jan 24 09:39:42 2026 keeping 162407427 ideals with weight <= 200, target excess is 850004
  35. Sat Jan 24 09:40:01 2026 commencing in-memory singleton removal
  36. Sat Jan 24 09:40:04 2026 begin with 162014873 relations and 162407427 unique ideals
  37. Sat Jan 24 09:40:37 2026 reduce to 73837545 relations and 61952204 ideals in 20 passes
  38. Sat Jan 24 09:40:37 2026 max relations containing the same ideal: 123
  39. Sat Jan 24 09:41:19 2026 removing 11266901 relations and 9266901 ideals in 2000000 cliques
  40. Sat Jan 24 09:41:23 2026 commencing in-memory singleton removal
  41. Sat Jan 24 09:41:24 2026 begin with 62570644 relations and 61952204 unique ideals
  42. Sat Jan 24 09:41:34 2026 reduce to 61296624 relations and 51368229 ideals in 9 passes
  43. Sat Jan 24 09:41:34 2026 max relations containing the same ideal: 110
  44. Sat Jan 24 09:42:09 2026 removing 8592652 relations and 6592652 ideals in 2000000 cliques
  45. Sat Jan 24 09:42:12 2026 commencing in-memory singleton removal
  46. Sat Jan 24 09:42:13 2026 begin with 52703972 relations and 51368229 unique ideals
  47. Sat Jan 24 09:42:21 2026 reduce to 51793319 relations and 43835483 ideals in 9 passes
  48. Sat Jan 24 09:42:21 2026 max relations containing the same ideal: 99
  49. Sat Jan 24 09:42:49 2026 removing 7811048 relations and 5811048 ideals in 2000000 cliques
  50. Sat Jan 24 09:42:52 2026 commencing in-memory singleton removal
  51. Sat Jan 24 09:42:53 2026 begin with 43982271 relations and 43835483 unique ideals
  52. Sat Jan 24 09:43:00 2026 reduce to 43114377 relations and 37125377 ideals in 9 passes
  53. Sat Jan 24 09:43:00 2026 max relations containing the same ideal: 86
  54. Sat Jan 24 09:43:28 2026 removing 7426955 relations and 5426955 ideals in 2000000 cliques
  55. Sat Jan 24 09:43:32 2026 commencing in-memory singleton removal
  56. Sat Jan 24 09:43:32 2026 begin with 35687422 relations and 37125377 unique ideals
  57. Sat Jan 24 09:43:39 2026 reduce to 34781900 relations and 30754894 ideals in 10 passes
  58. Sat Jan 24 09:43:39 2026 max relations containing the same ideal: 75
  59. Sat Jan 24 09:43:59 2026 removing 7192005 relations and 5192005 ideals in 2000000 cliques
  60. Sat Jan 24 09:44:02 2026 commencing in-memory singleton removal
  61. Sat Jan 24 09:44:02 2026 begin with 27589895 relations and 30754894 unique ideals
  62. Sat Jan 24 09:44:06 2026 reduce to 26570710 relations and 24491120 ideals in 10 passes
  63. Sat Jan 24 09:44:06 2026 max relations containing the same ideal: 64
  64. Sat Jan 24 09:44:23 2026 removing 4407825 relations and 3314240 ideals in 1093585 cliques
  65. Sat Jan 24 09:44:25 2026 commencing in-memory singleton removal
  66. Sat Jan 24 09:44:25 2026 begin with 22162885 relations and 24491120 unique ideals
  67. Sat Jan 24 09:44:28 2026 reduce to 21696227 relations and 20693191 ideals in 9 passes
  68. Sat Jan 24 09:44:28 2026 max relations containing the same ideal: 55
  69. Sat Jan 24 09:44:41 2026 removing 135897 relations and 118866 ideals in 17031 cliques
  70. Sat Jan 24 09:44:42 2026 commencing in-memory singleton removal
  71. Sat Jan 24 09:44:43 2026 begin with 21560330 relations and 20693191 unique ideals
  72. Sat Jan 24 09:44:45 2026 reduce to 21559902 relations and 20573897 ideals in 6 passes
  73. Sat Jan 24 09:44:45 2026 max relations containing the same ideal: 54
  74. Sat Jan 24 09:44:48 2026 relations with 0 large ideals: 2976
  75. Sat Jan 24 09:44:48 2026 relations with 1 large ideals: 28774
  76. Sat Jan 24 09:44:48 2026 relations with 2 large ideals: 345045
  77. Sat Jan 24 09:44:48 2026 relations with 3 large ideals: 1691771
  78. Sat Jan 24 09:44:48 2026 relations with 4 large ideals: 4267180
  79. Sat Jan 24 09:44:48 2026 relations with 5 large ideals: 6117276
  80. Sat Jan 24 09:44:48 2026 relations with 6 large ideals: 5287629
  81. Sat Jan 24 09:44:48 2026 relations with 7+ large ideals: 3819251
  82. Sat Jan 24 09:44:48 2026 commencing 2-way merge
  83. Sat Jan 24 09:45:04 2026 reduce to 13043630 relation sets and 12057625 unique ideals
  84. Sat Jan 24 09:45:04 2026 commencing full merge
  85. Sat Jan 24 09:49:39 2026 memory use: 1493.9 MB
  86. Sat Jan 24 09:49:42 2026 found 6566371 cycles, need 6433825
  87. Sat Jan 24 09:49:44 2026 weight of 6433825 cycles is about 579080142 (90.01/cycle)
  88. Sat Jan 24 09:49:44 2026 distribution of cycle lengths:
  89. Sat Jan 24 09:49:44 2026 1 relations: 472714
  90. Sat Jan 24 09:49:44 2026 2 relations: 579935
  91. Sat Jan 24 09:49:44 2026 3 relations: 627536
  92. Sat Jan 24 09:49:44 2026 4 relations: 617308
  93. Sat Jan 24 09:49:44 2026 5 relations: 610325
  94. Sat Jan 24 09:49:44 2026 6 relations: 576273
  95. Sat Jan 24 09:49:44 2026 7 relations: 538753
  96. Sat Jan 24 09:49:44 2026 8 relations: 482589
  97. Sat Jan 24 09:49:44 2026 9 relations: 420718
  98. Sat Jan 24 09:49:44 2026 10+ relations: 1507674
  99. Sat Jan 24 09:49:44 2026 heaviest cycle: 21 relations
  100. Sat Jan 24 09:49:46 2026 commencing cycle optimization
  101. Sat Jan 24 09:50:04 2026 start with 42670311 relations
  102. Sat Jan 24 09:51:35 2026 pruned 1332713 relations
  103. Sat Jan 24 09:51:36 2026 memory use: 1317.8 MB
  104. Sat Jan 24 09:51:36 2026 distribution of cycle lengths:
  105. Sat Jan 24 09:51:36 2026 1 relations: 472714
  106. Sat Jan 24 09:51:36 2026 2 relations: 594013
  107. Sat Jan 24 09:51:36 2026 3 relations: 652333
  108. Sat Jan 24 09:51:36 2026 4 relations: 638074
  109. Sat Jan 24 09:51:36 2026 5 relations: 633096
  110. Sat Jan 24 09:51:36 2026 6 relations: 595738
  111. Sat Jan 24 09:51:36 2026 7 relations: 555566
  112. Sat Jan 24 09:51:36 2026 8 relations: 492226
  113. Sat Jan 24 09:51:36 2026 9 relations: 425903
  114. Sat Jan 24 09:51:36 2026 10+ relations: 1374162
  115. Sat Jan 24 09:51:36 2026 heaviest cycle: 21 relations
  116. Sat Jan 24 09:51:50 2026 RelProcTime: 2244
  117. Sat Jan 24 09:51:50 2026
  118. Sat Jan 24 09:51:50 2026 commencing linear algebra
  119. Sat Jan 24 09:51:50 2026 using VBITS=256
  120. Sat Jan 24 09:51:50 2026 read 6433825 cycles
  121. Sat Jan 24 09:52:01 2026 cycles contain 20939491 unique relations
  122. Sat Jan 24 09:52:52 2026 read 20939491 relations
  123. Sat Jan 24 09:53:00 2026 using 20 quadratic characters above 4294917295
  124. Sat Jan 24 09:53:13 2026 building initial matrix
  125. Sat Jan 24 09:58:04 2026 memory use: 2897.1 MB
  126. Sat Jan 24 09:58:07 2026 read 6433825 cycles
  127. Sat Jan 24 09:58:08 2026 matrix is 6433646 x 6433825 (2406.3 MB) with weight 748738540 (116.38/col)
  128. Sat Jan 24 09:58:08 2026 sparse part has weight 553590333 (86.04/col)
  129. Sat Jan 24 09:59:05 2026 filtering completed in 2 passes
  130. Sat Jan 24 09:59:07 2026 matrix is 6431978 x 6432157 (2406.1 MB) with weight 748662302 (116.39/col)
  131. Sat Jan 24 09:59:07 2026 sparse part has weight 553565350 (86.06/col)
  132. Sat Jan 24 09:59:23 2026 matrix starts at (0, 0)
  133. Sat Jan 24 09:59:24 2026 matrix is 6431978 x 6432157 (2406.1 MB) with weight 748662302 (116.39/col)
  134. Sat Jan 24 09:59:24 2026 sparse part has weight 553565350 (86.06/col)
  135. Sat Jan 24 09:59:24 2026 saving the first 240 matrix rows for later
  136. Sat Jan 24 09:59:25 2026 matrix includes 256 packed rows
  137. Sat Jan 24 09:59:26 2026 matrix is 6431738 x 6432157 (2192.1 MB) with weight 504537973 (78.44/col)
  138. Sat Jan 24 09:59:26 2026 sparse part has weight 471737727 (73.34/col)
  139. Sat Jan 24 09:59:27 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  140. Sat Jan 24 09:59:27 2026 selected card has CUDA arch 12.0
  141. Sat Jan 24 10:00:00 2026 commencing Lanczos iteration
  142. Sat Jan 24 10:00:02 2026 memory use: 5218.5 MB
  143. Sat Jan 24 10:00:18 2026 linear algebra at 0.5%, ETA 0h52m
  144. Sat Jan 24 10:00:41 2026 checking every 120000 dimensions, checkpointing every 7320000 dimensions
  145. Sat Jan 24 10:53:26 2026 lanczos halted after 25201 iterations (dim = 6431736)
  146. Sat Jan 24 10:54:06 2026 recovered 28 nontrivial dependencies
  147. Sat Jan 24 10:54:07 2026 BLanczosTime: 3737
  148. Sat Jan 24 10:54:07 2026
  149. Sat Jan 24 10:54:07 2026 commencing square root phase
  150. Sat Jan 24 10:54:07 2026 reading relations for dependency 1
  151. Sat Jan 24 10:54:25 2026 read 3216955 cycles
  152. Sat Jan 24 10:54:31 2026 cycles contain 10469490 unique relations
  153. Sat Jan 24 10:57:22 2026 read 10469490 relations
  154. Sat Jan 24 10:58:15 2026 multiplying 10469490 relations
  155. Sat Jan 24 10:59:40 2026 multiply complete, coefficients have about 580.43 million bits
  156. Sat Jan 24 10:59:42 2026 initial square root is modulo 161221
  157. Sat Jan 24 11:03:18 2026 GCD is 1, no factor found
  158. Sat Jan 24 11:03:18 2026 reading relations for dependency 2
  159. Sat Jan 24 11:03:20 2026 read 3216473 cycles
  160. Sat Jan 24 11:03:26 2026 cycles contain 10471060 unique relations
  161. Sat Jan 24 11:04:41 2026 read 10471060 relations
  162. Sat Jan 24 11:05:30 2026 multiplying 10471060 relations
  163. Sat Jan 24 11:06:58 2026 multiply complete, coefficients have about 580.51 million bits
  164. Sat Jan 24 11:07:00 2026 initial square root is modulo 161471
  165. Sat Jan 24 11:10:43 2026 GCD is 1, no factor found
  166. Sat Jan 24 11:10:43 2026 reading relations for dependency 3
  167. Sat Jan 24 11:10:44 2026 read 3216786 cycles
  168. Sat Jan 24 11:10:50 2026 cycles contain 10468760 unique relations
  169. Sat Jan 24 11:11:19 2026 read 10468760 relations
  170. Sat Jan 24 11:12:06 2026 multiplying 10468760 relations
  171. Sat Jan 24 11:13:31 2026 multiply complete, coefficients have about 580.40 million bits
  172. Sat Jan 24 11:13:33 2026 initial square root is modulo 161221
  173. Sat Jan 24 11:17:13 2026 GCD is 1, no factor found
  174. Sat Jan 24 11:17:13 2026 reading relations for dependency 4
  175. Sat Jan 24 11:17:14 2026 read 3215423 cycles
  176. Sat Jan 24 11:17:20 2026 cycles contain 10471562 unique relations
  177. Sat Jan 24 11:17:47 2026 read 10471562 relations
  178. Sat Jan 24 11:18:36 2026 multiplying 10471562 relations
  179. Sat Jan 24 11:20:01 2026 multiply complete, coefficients have about 580.54 million bits
  180. Sat Jan 24 11:20:03 2026 initial square root is modulo 161611
  181. Sat Jan 24 11:23:33 2026 GCD is N, no factor found
  182. Sat Jan 24 11:23:33 2026 reading relations for dependency 5
  183. Sat Jan 24 11:23:34 2026 read 3217449 cycles
  184. Sat Jan 24 11:23:40 2026 cycles contain 10470912 unique relations
  185. Sat Jan 24 11:24:08 2026 read 10470912 relations
  186. Sat Jan 24 11:24:57 2026 multiplying 10470912 relations
  187. Sat Jan 24 11:26:21 2026 multiply complete, coefficients have about 580.51 million bits
  188. Sat Jan 24 11:26:23 2026 initial square root is modulo 161459
  189. Sat Jan 24 11:30:04 2026 GCD is N, no factor found
  190. Sat Jan 24 11:30:04 2026 reading relations for dependency 6
  191. Sat Jan 24 11:30:05 2026 read 3217050 cycles
  192. Sat Jan 24 11:30:11 2026 cycles contain 10474052 unique relations
  193. Sat Jan 24 11:30:38 2026 read 10474052 relations
  194. Sat Jan 24 11:31:24 2026 multiplying 10474052 relations
  195. Sat Jan 24 11:32:48 2026 multiply complete, coefficients have about 580.68 million bits
  196. Sat Jan 24 11:32:51 2026 initial square root is modulo 162053
  197. Sat Jan 24 11:36:25 2026 sqrtTime: 2538
  198. Sat Jan 24 11:36:25 2026 p72 factor: 494031357530491901960306648609939102959284092873460364996067112321373991
  199. Sat Jan 24 11:36:25 2026 p92 factor: 34288458054307864039941819255906265701843070929807333732903944447656538872247935091871163681
  200. Sat Jan 24 11:36:25 2026 elapsed time 02:22:00
  201.  
Tags: math
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