API tools faq
paste
Advertisement
gchilders

357_053_7m1

gchilders
Dec 4th, 2021
417
0
Never
Add comment
Not a member of Pastebin yet? Sign Up, it unlocks many cool features!
text 11.40 KB | None | 0 0
raw download clone embed print report
  1. Sat Dec 4 00:02:12 2021
  2. Sat Dec 4 00:02:12 2021
  3. Sat Dec 4 00:02:12 2021 Msieve v. 1.54 (SVN unknown)
  4. Sat Dec 4 00:02:12 2021 random seeds: 0d08ace8 5fa7a79c
  5. Sat Dec 4 00:02:12 2021 factoring 4871369519232412117148509979332664906488924893955020377319005370243298132229521921294143746381901101697288205758961469640699858848542349291982123264053063994613507367768830036687308786770441643794116946162461482388261 (217 digits)
  6. Sat Dec 4 00:02:13 2021 no P-1/P+1/ECM available, skipping
  7. Sat Dec 4 00:02:13 2021 commencing number field sieve (217-digit input)
  8. Sat Dec 4 00:02:13 2021 R0: 357419936687223109590783114499891218053
  9. Sat Dec 4 00:02:13 2021 R1: -1
  10. Sat Dec 4 00:02:13 2021 A0: 1
  11. Sat Dec 4 00:02:13 2021 A1: 1
  12. Sat Dec 4 00:02:13 2021 A2: 1
  13. Sat Dec 4 00:02:13 2021 A3: 1
  14. Sat Dec 4 00:02:13 2021 A4: 1
  15. Sat Dec 4 00:02:13 2021 A5: 1
  16. Sat Dec 4 00:02:13 2021 A6: 1
  17. Sat Dec 4 00:02:13 2021 skew 1.00, size 1.878e-11, alpha 2.428, combined = 1.010e-12 rroots = 0
  18. Sat Dec 4 00:02:13 2021
  19. Sat Dec 4 00:02:13 2021 commencing relation filtering
  20. Sat Dec 4 00:02:13 2021 setting target matrix density to 100.0
  21. Sat Dec 4 00:02:13 2021 estimated available RAM is 515600.8 MB
  22. Sat Dec 4 00:02:13 2021 commencing duplicate removal, pass 1
  23. Sat Dec 4 00:02:17 2021 error -9 reading relation 1000192
  24. Sat Dec 4 00:02:22 2021 error -9 reading relation 2068410
  25. Sat Dec 4 00:03:13 2021 error -9 reading relation 13002643
  26. Sat Dec 4 00:05:38 2021 error -9 reading relation 44381295
  27. Sat Dec 4 00:06:03 2021 error -9 reading relation 49623966
  28. Sat Dec 4 00:06:08 2021 error -9 reading relation 50668175
  29. Sat Dec 4 00:06:21 2021 error -9 reading relation 53663139
  30. Sat Dec 4 00:06:22 2021 error -9 reading relation 53678999
  31. Sat Dec 4 00:07:55 2021 error -15 reading relation 73655423
  32. Sat Dec 4 00:08:07 2021 error -9 reading relation 76408397
  33. Sat Dec 4 00:08:11 2021 error -9 reading relation 77205377
  34. Sat Dec 4 00:08:20 2021 error -15 reading relation 79060629
  35. Sat Dec 4 00:09:50 2021 skipped 16 relations with b > 2^32
  36. Sat Dec 4 00:09:50 2021 skipped 12 relations with composite factors
  37. Sat Dec 4 00:09:50 2021 found 4249297 hash collisions in 98470826 relations
  38. Sat Dec 4 00:09:54 2021 added 2438534 free relations
  39. Sat Dec 4 00:09:54 2021 commencing duplicate removal, pass 2
  40. Sat Dec 4 00:10:12 2021 found 0 duplicates and 100909360 unique relations
  41. Sat Dec 4 00:10:12 2021 memory use: 261.2 MB
  42. Sat Dec 4 00:10:12 2021 reading ideals above 720000
  43. Sat Dec 4 00:10:12 2021 commencing singleton removal, initial pass
  44. Sat Dec 4 00:18:23 2021 memory use: 2756.0 MB
  45. Sat Dec 4 00:18:23 2021 reading all ideals from disk
  46. Sat Dec 4 00:18:23 2021 memory use: 3813.7 MB
  47. Sat Dec 4 00:18:27 2021 keeping 90762714 ideals with weight <= 200, target excess is 518336
  48. Sat Dec 4 00:18:31 2021 commencing in-memory singleton removal
  49. Sat Dec 4 00:18:34 2021 begin with 100909360 relations and 90762714 unique ideals
  50. Sat Dec 4 00:19:01 2021 reduce to 67003065 relations and 53468454 ideals in 12 passes
  51. Sat Dec 4 00:19:01 2021 max relations containing the same ideal: 160
  52. Sat Dec 4 00:19:16 2021 removing 8520969 relations and 6520969 ideals in 2000000 cliques
  53. Sat Dec 4 00:19:18 2021 commencing in-memory singleton removal
  54. Sat Dec 4 00:19:20 2021 begin with 58482096 relations and 53468454 unique ideals
  55. Sat Dec 4 00:19:36 2021 reduce to 57559733 relations and 45990848 ideals in 9 passes
  56. Sat Dec 4 00:19:36 2021 max relations containing the same ideal: 147
  57. Sat Dec 4 00:19:49 2021 removing 6923642 relations and 4923642 ideals in 2000000 cliques
  58. Sat Dec 4 00:19:51 2021 commencing in-memory singleton removal
  59. Sat Dec 4 00:19:52 2021 begin with 50636091 relations and 45990848 unique ideals
  60. Sat Dec 4 00:20:06 2021 reduce to 49984223 relations and 40392397 ideals in 9 passes
  61. Sat Dec 4 00:20:06 2021 max relations containing the same ideal: 131
  62. Sat Dec 4 00:20:18 2021 removing 6409412 relations and 4409412 ideals in 2000000 cliques
  63. Sat Dec 4 00:20:19 2021 commencing in-memory singleton removal
  64. Sat Dec 4 00:20:21 2021 begin with 43574811 relations and 40392397 unique ideals
  65. Sat Dec 4 00:20:31 2021 reduce to 42971813 relations and 35357441 ideals in 8 passes
  66. Sat Dec 4 00:20:31 2021 max relations containing the same ideal: 119
  67. Sat Dec 4 00:20:41 2021 removing 6155217 relations and 4155217 ideals in 2000000 cliques
  68. Sat Dec 4 00:20:43 2021 commencing in-memory singleton removal
  69. Sat Dec 4 00:20:44 2021 begin with 36816596 relations and 35357441 unique ideals
  70. Sat Dec 4 00:20:52 2021 reduce to 36214138 relations and 30573969 ideals in 7 passes
  71. Sat Dec 4 00:20:52 2021 max relations containing the same ideal: 103
  72. Sat Dec 4 00:21:00 2021 removing 5991853 relations and 3991853 ideals in 2000000 cliques
  73. Sat Dec 4 00:21:02 2021 commencing in-memory singleton removal
  74. Sat Dec 4 00:21:03 2021 begin with 30222285 relations and 30573969 unique ideals
  75. Sat Dec 4 00:21:10 2021 reduce to 29583766 relations and 25912431 ideals in 8 passes
  76. Sat Dec 4 00:21:10 2021 max relations containing the same ideal: 90
  77. Sat Dec 4 00:21:17 2021 removing 5862776 relations and 3862776 ideals in 2000000 cliques
  78. Sat Dec 4 00:21:18 2021 commencing in-memory singleton removal
  79. Sat Dec 4 00:21:19 2021 begin with 23720990 relations and 25912431 unique ideals
  80. Sat Dec 4 00:21:24 2021 reduce to 23006871 relations and 21293116 ideals in 8 passes
  81. Sat Dec 4 00:21:24 2021 max relations containing the same ideal: 81
  82. Sat Dec 4 00:21:30 2021 removing 3566495 relations and 2454010 ideals in 1112485 cliques
  83. Sat Dec 4 00:21:31 2021 commencing in-memory singleton removal
  84. Sat Dec 4 00:21:32 2021 begin with 19440376 relations and 21293116 unique ideals
  85. Sat Dec 4 00:21:36 2021 reduce to 19064425 relations and 18446497 ideals in 8 passes
  86. Sat Dec 4 00:21:36 2021 max relations containing the same ideal: 72
  87. Sat Dec 4 00:21:41 2021 removing 103590 relations and 86932 ideals in 16658 cliques
  88. Sat Dec 4 00:21:42 2021 commencing in-memory singleton removal
  89. Sat Dec 4 00:21:42 2021 begin with 18960835 relations and 18446497 unique ideals
  90. Sat Dec 4 00:21:45 2021 reduce to 18960452 relations and 18359182 ideals in 6 passes
  91. Sat Dec 4 00:21:45 2021 max relations containing the same ideal: 71
  92. Sat Dec 4 00:21:48 2021 relations with 0 large ideals: 38763
  93. Sat Dec 4 00:21:48 2021 relations with 1 large ideals: 12129
  94. Sat Dec 4 00:21:48 2021 relations with 2 large ideals: 114380
  95. Sat Dec 4 00:21:48 2021 relations with 3 large ideals: 684651
  96. Sat Dec 4 00:21:48 2021 relations with 4 large ideals: 2216639
  97. Sat Dec 4 00:21:48 2021 relations with 5 large ideals: 4237863
  98. Sat Dec 4 00:21:48 2021 relations with 6 large ideals: 5015906
  99. Sat Dec 4 00:21:48 2021 relations with 7+ large ideals: 6640121
  100. Sat Dec 4 00:21:48 2021 commencing 2-way merge
  101. Sat Dec 4 00:21:54 2021 reduce to 12921402 relation sets and 12320132 unique ideals
  102. Sat Dec 4 00:21:54 2021 commencing full merge
  103. Sat Dec 4 00:24:44 2021 memory use: 1669.2 MB
  104. Sat Dec 4 00:24:45 2021 found 6151330 cycles, need 6088332
  105. Sat Dec 4 00:24:46 2021 weight of 6088332 cycles is about 609435016 (100.10/cycle)
  106. Sat Dec 4 00:24:46 2021 distribution of cycle lengths:
  107. Sat Dec 4 00:24:46 2021 1 relations: 297516
  108. Sat Dec 4 00:24:46 2021 2 relations: 418323
  109. Sat Dec 4 00:24:46 2021 3 relations: 494310
  110. Sat Dec 4 00:24:46 2021 4 relations: 516889
  111. Sat Dec 4 00:24:46 2021 5 relations: 526637
  112. Sat Dec 4 00:24:46 2021 6 relations: 516783
  113. Sat Dec 4 00:24:46 2021 7 relations: 493219
  114. Sat Dec 4 00:24:46 2021 8 relations: 457286
  115. Sat Dec 4 00:24:46 2021 9 relations: 413730
  116. Sat Dec 4 00:24:46 2021 10+ relations: 1953639
  117. Sat Dec 4 00:24:46 2021 heaviest cycle: 27 relations
  118. Sat Dec 4 00:24:48 2021 commencing cycle optimization
  119. Sat Dec 4 00:24:54 2021 start with 47621989 relations
  120. Sat Dec 4 00:25:54 2021 pruned 2091351 relations
  121. Sat Dec 4 00:25:55 2021 memory use: 1281.4 MB
  122. Sat Dec 4 00:25:55 2021 distribution of cycle lengths:
  123. Sat Dec 4 00:25:55 2021 1 relations: 297516
  124. Sat Dec 4 00:25:55 2021 2 relations: 428107
  125. Sat Dec 4 00:25:55 2021 3 relations: 515069
  126. Sat Dec 4 00:25:55 2021 4 relations: 539327
  127. Sat Dec 4 00:25:55 2021 5 relations: 554650
  128. Sat Dec 4 00:25:55 2021 6 relations: 542470
  129. Sat Dec 4 00:25:55 2021 7 relations: 518818
  130. Sat Dec 4 00:25:55 2021 8 relations: 476515
  131. Sat Dec 4 00:25:55 2021 9 relations: 428127
  132. Sat Dec 4 00:25:55 2021 10+ relations: 1787733
  133. Sat Dec 4 00:25:55 2021 heaviest cycle: 27 relations
  134. Sat Dec 4 00:26:00 2021 RelProcTime: 1427
  135. Sat Dec 4 00:26:00 2021
  136. Sat Dec 4 00:26:00 2021 commencing linear algebra
  137. Sat Dec 4 00:26:00 2021 using VBITS=384
  138. Sat Dec 4 00:26:01 2021 read 6088332 cycles
  139. Sat Dec 4 00:26:07 2021 cycles contain 18664615 unique relations
  140. Sat Dec 4 00:27:11 2021 read 18664615 relations
  141. Sat Dec 4 00:27:29 2021 using 20 quadratic characters above 4294917295
  142. Sat Dec 4 00:28:20 2021 building initial matrix
  143. Sat Dec 4 00:30:33 2021 memory use: 2340.7 MB
  144. Sat Dec 4 00:30:34 2021 read 6088332 cycles
  145. Sat Dec 4 00:30:35 2021 matrix is 6088155 x 6088332 (2443.6 MB) with weight 698266265 (114.69/col)
  146. Sat Dec 4 00:30:35 2021 sparse part has weight 573602800 (94.21/col)
  147. Sat Dec 4 00:31:06 2021 filtering completed in 2 passes
  148. Sat Dec 4 00:31:07 2021 matrix is 6087750 x 6087902 (2443.6 MB) with weight 698251386 (114.69/col)
  149. Sat Dec 4 00:31:07 2021 sparse part has weight 573596622 (94.22/col)
  150. Sat Dec 4 00:31:15 2021 matrix starts at (0, 0)
  151. Sat Dec 4 00:31:15 2021 matrix is 6087750 x 6087902 (2443.6 MB) with weight 698251386 (114.69/col)
  152. Sat Dec 4 00:31:15 2021 sparse part has weight 573596622 (94.22/col)
  153. Sat Dec 4 00:31:15 2021 saving the first 368 matrix rows for later
  154. Sat Dec 4 00:31:16 2021 matrix includes 384 packed rows
  155. Sat Dec 4 00:31:18 2021 matrix is 6087382 x 6087902 (2285.4 MB) with weight 504307435 (82.84/col)
  156. Sat Dec 4 00:31:18 2021 sparse part has weight 477339941 (78.41/col)
  157. Sat Dec 4 00:31:19 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  158. Sat Dec 4 00:31:19 2021 selected card has CUDA arch 7.0
  159. Sat Dec 4 00:31:36 2021 commencing Lanczos iteration
  160. Sat Dec 4 00:31:37 2021 memory use: 5917.7 MB
  161. Sat Dec 4 00:31:39 2021 linear algebra at 0.0%, ETA 1h28m
  162. Sat Dec 4 00:31:40 2021 checkpointing every 5070000 dimensions
  163. Sat Dec 4 01:46:37 2021 lanczos halted after 15886 iterations (dim = 6087381)
  164. Sat Dec 4 01:47:03 2021 recovered 38 nontrivial dependencies
  165. Sat Dec 4 01:47:03 2021 BLanczosTime: 4863
  166. Sat Dec 4 01:47:03 2021
  167. Sat Dec 4 01:47:03 2021 commencing square root phase
  168. Sat Dec 4 01:47:03 2021 handling dependencies 1 to 64
  169. Sat Dec 4 01:47:03 2021 reading relations for dependency 1
  170. Sat Dec 4 01:47:04 2021 read 3043109 cycles
  171. Sat Dec 4 01:47:07 2021 cycles contain 9328140 unique relations
  172. Sat Dec 4 01:47:44 2021 read 9328140 relations
  173. Sat Dec 4 01:48:09 2021 multiplying 9328140 relations
  174. Sat Dec 4 01:51:47 2021 multiply complete, coefficients have about 228.66 million bits
  175. Sat Dec 4 01:51:48 2021 initial square root is modulo 160647779
  176. Sat Dec 4 01:55:53 2021 sqrtTime: 530
  177. Sat Dec 4 01:55:53 2021 p66 factor: 827841390819408503531926270000264654638194518755926669103799740569
  178. Sat Dec 4 01:55:53 2021 p151 factor: 5884423723257742983744889773691975740829318040303085837008959781743146298542675225203430761014470467671398540058781861905620972183379805998266411881069
  179. Sat Dec 4 01:55:53 2021 elapsed time 01:53:41
  180.  
Advertisement
Add Comment
Please, Sign In to add comment
Advertisement
Public Pastes
Advertisement
We use cookies for various purposes including analytics. By continuing to use Pastebin, you agree to our use of cookies as described in the Cookies Policy.  OK, I Understand
Not a member of Pastebin yet?
Sign Up, it unlocks many cool features!