API tools faq
paste
Guest User

Untitled

a guest
Jan 20th, 2026
17
0
Never
Add comment
Not a member of Pastebin yet? Sign Up, it unlocks many cool features!
text 15.54 KB | None | 0 0
raw download clone embed print report
  1. Mon Jan 19 20:02:54 2026
  2. Mon Jan 19 20:02:54 2026
  3. Mon Jan 19 20:02:54 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Jan 19 20:02:54 2026 random seeds: 264700af 4530a34d
  5. Mon Jan 19 20:02:54 2026 Using 8 OpenMP threads
  6. Mon Jan 19 20:02:54 2026 factoring 182580278451627405883361491844718137857033740302365567934048096911070889979480036614501163246994361976191466533441599748014442602152663494399495428176686139860803430652071418104898317112538444834569737507664723189237802127995499301 (231 digits)
  7. Mon Jan 19 20:02:55 2026 searching for 15-digit factors
  8. Mon Jan 19 20:02:55 2026 commencing number field sieve (231-digit input)
  9. Mon Jan 19 20:02:55 2026 R0: 1
  10. Mon Jan 19 20:02:55 2026 R1: -7921254459421894511000976270204744794881
  11. Mon Jan 19 20:02:55 2026 A0: -2113
  12. Mon Jan 19 20:02:55 2026 A1: 0
  13. Mon Jan 19 20:02:55 2026 A2: 0
  14. Mon Jan 19 20:02:55 2026 A3: 0
  15. Mon Jan 19 20:02:55 2026 A4: 0
  16. Mon Jan 19 20:02:55 2026 A5: 0
  17. Mon Jan 19 20:02:55 2026 A6: 1
  18. Mon Jan 19 20:02:55 2026 skew 2.79, size 2.656e-12, alpha 2.134, combined = 2.484e-13 rroots = 2
  19. Mon Jan 19 20:02:55 2026
  20. Mon Jan 19 20:02:55 2026 commencing relation filtering
  21. Mon Jan 19 20:02:55 2026 estimated available RAM is 78540.1 MB
  22. Mon Jan 19 20:02:55 2026 commencing duplicate removal, pass 1
  23. Mon Jan 19 20:04:44 2026 error -15 reading relation 31382048
  24. Mon Jan 19 20:05:26 2026 error -1 reading relation 43476250
  25. Mon Jan 19 20:07:27 2026 error -1 reading relation 78721781
  26. Mon Jan 19 20:12:21 2026 error -1 reading relation 161993430
  27. Mon Jan 19 20:15:17 2026 error -5 reading relation 212917555
  28. Mon Jan 19 20:16:17 2026 error -1 reading relation 230000162
  29. Mon Jan 19 20:16:34 2026 error -1 reading relation 235089445
  30. Mon Jan 19 20:16:34 2026 error -1 reading relation 235237822
  31. Mon Jan 19 20:17:59 2026 error -1 reading relation 260231880
  32. Mon Jan 19 20:18:07 2026 error -1 reading relation 262518360
  33. Mon Jan 19 20:18:27 2026 error -1 reading relation 268287921
  34. Mon Jan 19 20:18:35 2026 error -1 reading relation 270203614
  35. Mon Jan 19 20:19:48 2026 error -1 reading relation 290814195
  36. Mon Jan 19 20:19:50 2026 error -1 reading relation 292047457
  37. Mon Jan 19 20:20:27 2026 error -1 reading relation 302823682
  38. Mon Jan 19 20:20:32 2026 error -1 reading relation 304147390
  39. Mon Jan 19 20:21:34 2026 error -15 reading relation 322439342
  40. Mon Jan 19 20:21:38 2026 error -1 reading relation 323526765
  41. Mon Jan 19 20:21:58 2026 skipped 63 relations with b > 2^32
  42. Mon Jan 19 20:21:58 2026 skipped 1 relations with composite factors
  43. Mon Jan 19 20:21:58 2026 skipped 220 malformed relations
  44. Mon Jan 19 20:21:58 2026 found 67398871 hash collisions in 330262331 relations
  45. Mon Jan 19 20:22:08 2026 added 1218577 free relations
  46. Mon Jan 19 20:22:08 2026 commencing duplicate removal, pass 2
  47. Mon Jan 19 20:26:45 2026 found 73090865 duplicates and 258390043 unique relations
  48. Mon Jan 19 20:26:45 2026 memory use: 1705.5 MB
  49. Mon Jan 19 20:26:45 2026 reading ideals above 720000
  50. Mon Jan 19 20:26:45 2026 commencing singleton removal, initial pass
  51. Mon Jan 19 20:52:04 2026 memory use: 6024.0 MB
  52. Mon Jan 19 20:52:05 2026 reading all ideals from disk
  53. Mon Jan 19 20:52:13 2026 memory use: 12314.4 MB
  54. Mon Jan 19 20:52:33 2026 keeping 236673150 ideals with weight <= 200, target excess is 1583712
  55. Mon Jan 19 20:53:03 2026 commencing in-memory singleton removal
  56. Mon Jan 19 20:53:05 2026 begin with 258390043 relations and 236673150 unique ideals
  57. Mon Jan 19 20:53:40 2026 reduce to 157117761 relations and 124742160 ideals in 15 passes
  58. Mon Jan 19 20:53:40 2026 max relations containing the same ideal: 150
  59. Mon Jan 19 20:54:50 2026 removing 11623846 relations and 9623846 ideals in 2000000 cliques
  60. Mon Jan 19 20:54:55 2026 commencing in-memory singleton removal
  61. Mon Jan 19 20:54:57 2026 begin with 145493915 relations and 124742160 unique ideals
  62. Mon Jan 19 20:55:11 2026 reduce to 144848917 relations and 114462562 ideals in 8 passes
  63. Mon Jan 19 20:55:11 2026 max relations containing the same ideal: 142
  64. Mon Jan 19 20:56:15 2026 removing 8801608 relations and 6801608 ideals in 2000000 cliques
  65. Mon Jan 19 20:56:19 2026 commencing in-memory singleton removal
  66. Mon Jan 19 20:56:21 2026 begin with 136047309 relations and 114462562 unique ideals
  67. Mon Jan 19 20:56:34 2026 reduce to 135623060 relations and 107230557 ideals in 8 passes
  68. Mon Jan 19 20:56:34 2026 max relations containing the same ideal: 138
  69. Mon Jan 19 20:57:34 2026 removing 7938170 relations and 5938170 ideals in 2000000 cliques
  70. Mon Jan 19 20:57:37 2026 commencing in-memory singleton removal
  71. Mon Jan 19 20:57:39 2026 begin with 127684890 relations and 107230557 unique ideals
  72. Mon Jan 19 20:57:54 2026 reduce to 127315432 relations and 100917530 ideals in 8 passes
  73. Mon Jan 19 20:57:54 2026 max relations containing the same ideal: 132
  74. Mon Jan 19 20:58:50 2026 removing 7484150 relations and 5484150 ideals in 2000000 cliques
  75. Mon Jan 19 20:58:54 2026 commencing in-memory singleton removal
  76. Mon Jan 19 20:58:56 2026 begin with 119831282 relations and 100917530 unique ideals
  77. Mon Jan 19 20:59:07 2026 reduce to 119485739 relations and 95082687 ideals in 8 passes
  78. Mon Jan 19 20:59:07 2026 max relations containing the same ideal: 128
  79. Mon Jan 19 20:59:57 2026 removing 7199739 relations and 5199739 ideals in 2000000 cliques
  80. Mon Jan 19 21:00:00 2026 commencing in-memory singleton removal
  81. Mon Jan 19 21:00:01 2026 begin with 112286000 relations and 95082687 unique ideals
  82. Mon Jan 19 21:00:09 2026 reduce to 111950897 relations and 89542746 ideals in 7 passes
  83. Mon Jan 19 21:00:09 2026 max relations containing the same ideal: 123
  84. Mon Jan 19 21:00:48 2026 removing 7005044 relations and 5005044 ideals in 2000000 cliques
  85. Mon Jan 19 21:00:52 2026 commencing in-memory singleton removal
  86. Mon Jan 19 21:00:54 2026 begin with 104945853 relations and 89542746 unique ideals
  87. Mon Jan 19 21:01:00 2026 reduce to 104611526 relations and 84197928 ideals in 8 passes
  88. Mon Jan 19 21:01:00 2026 max relations containing the same ideal: 117
  89. Mon Jan 19 21:01:32 2026 removing 6866852 relations and 4866852 ideals in 2000000 cliques
  90. Mon Jan 19 21:01:34 2026 commencing in-memory singleton removal
  91. Mon Jan 19 21:01:36 2026 begin with 97744674 relations and 84197928 unique ideals
  92. Mon Jan 19 21:01:43 2026 reduce to 97406859 relations and 78987517 ideals in 8 passes
  93. Mon Jan 19 21:01:43 2026 max relations containing the same ideal: 113
  94. Mon Jan 19 21:02:12 2026 removing 6769788 relations and 4769788 ideals in 2000000 cliques
  95. Mon Jan 19 21:02:14 2026 commencing in-memory singleton removal
  96. Mon Jan 19 21:02:15 2026 begin with 90637071 relations and 78987517 unique ideals
  97. Mon Jan 19 21:02:21 2026 reduce to 90290089 relations and 73864581 ideals in 7 passes
  98. Mon Jan 19 21:02:21 2026 max relations containing the same ideal: 107
  99. Mon Jan 19 21:02:46 2026 removing 6707258 relations and 4707258 ideals in 2000000 cliques
  100. Mon Jan 19 21:02:49 2026 commencing in-memory singleton removal
  101. Mon Jan 19 21:02:50 2026 begin with 83582831 relations and 73864581 unique ideals
  102. Mon Jan 19 21:02:55 2026 reduce to 83217965 relations and 68785289 ideals in 7 passes
  103. Mon Jan 19 21:02:55 2026 max relations containing the same ideal: 100
  104. Mon Jan 19 21:03:19 2026 removing 6667209 relations and 4667209 ideals in 2000000 cliques
  105. Mon Jan 19 21:03:22 2026 commencing in-memory singleton removal
  106. Mon Jan 19 21:03:22 2026 begin with 76550756 relations and 68785289 unique ideals
  107. Mon Jan 19 21:03:28 2026 reduce to 76162486 relations and 63721678 ideals in 7 passes
  108. Mon Jan 19 21:03:28 2026 max relations containing the same ideal: 92
  109. Mon Jan 19 21:03:49 2026 removing 6657376 relations and 4657376 ideals in 2000000 cliques
  110. Mon Jan 19 21:03:51 2026 commencing in-memory singleton removal
  111. Mon Jan 19 21:03:52 2026 begin with 69505110 relations and 63721678 unique ideals
  112. Mon Jan 19 21:03:57 2026 reduce to 69082426 relations and 58632082 ideals in 7 passes
  113. Mon Jan 19 21:03:57 2026 max relations containing the same ideal: 87
  114. Mon Jan 19 21:04:15 2026 removing 6674004 relations and 4674004 ideals in 2000000 cliques
  115. Mon Jan 19 21:04:17 2026 commencing in-memory singleton removal
  116. Mon Jan 19 21:04:18 2026 begin with 62408422 relations and 58632082 unique ideals
  117. Mon Jan 19 21:04:22 2026 reduce to 61937420 relations and 53475035 ideals in 8 passes
  118. Mon Jan 19 21:04:22 2026 max relations containing the same ideal: 81
  119. Mon Jan 19 21:04:43 2026 removing 6722403 relations and 4722403 ideals in 2000000 cliques
  120. Mon Jan 19 21:04:42 2026 commencing in-memory singleton removal
  121. Mon Jan 19 21:04:43 2026 begin with 55215017 relations and 53475035 unique ideals
  122. Mon Jan 19 21:04:47 2026 reduce to 54675361 relations and 48197937 ideals in 9 passes
  123. Mon Jan 19 21:04:47 2026 max relations containing the same ideal: 76
  124. Mon Jan 19 21:05:05 2026 removing 6811774 relations and 4811774 ideals in 2000000 cliques
  125. Mon Jan 19 21:05:07 2026 commencing in-memory singleton removal
  126. Mon Jan 19 21:05:08 2026 begin with 47863587 relations and 48197937 unique ideals
  127. Mon Jan 19 21:05:11 2026 reduce to 47220118 relations and 42722582 ideals in 8 passes
  128. Mon Jan 19 21:05:11 2026 max relations containing the same ideal: 67
  129. Mon Jan 19 21:05:24 2026 removing 6958720 relations and 4958720 ideals in 2000000 cliques
  130. Mon Jan 19 21:05:26 2026 commencing in-memory singleton removal
  131. Mon Jan 19 21:05:26 2026 begin with 40261398 relations and 42722582 unique ideals
  132. Mon Jan 19 21:05:29 2026 reduce to 39448255 relations and 36921498 ideals in 9 passes
  133. Mon Jan 19 21:05:29 2026 max relations containing the same ideal: 60
  134. Mon Jan 19 21:05:43 2026 removing 3103687 relations and 2414036 ideals in 689651 cliques
  135. Mon Jan 19 21:05:42 2026 commencing in-memory singleton removal
  136. Mon Jan 19 21:05:42 2026 begin with 36344568 relations and 36921498 unique ideals
  137. Mon Jan 19 21:05:44 2026 reduce to 36148415 relations and 34308288 ideals in 7 passes
  138. Mon Jan 19 21:05:44 2026 max relations containing the same ideal: 58
  139. Mon Jan 19 21:05:59 2026 relations with 0 large ideals: 65213
  140. Mon Jan 19 21:05:59 2026 relations with 1 large ideals: 132059
  141. Mon Jan 19 21:05:59 2026 relations with 2 large ideals: 892587
  142. Mon Jan 19 21:05:59 2026 relations with 3 large ideals: 3334333
  143. Mon Jan 19 21:05:59 2026 relations with 4 large ideals: 7284469
  144. Mon Jan 19 21:05:59 2026 relations with 5 large ideals: 9751637
  145. Mon Jan 19 21:05:59 2026 relations with 6 large ideals: 8195377
  146. Mon Jan 19 21:05:59 2026 relations with 7+ large ideals: 6492740
  147. Mon Jan 19 21:05:59 2026 commencing 2-way merge
  148. Mon Jan 19 21:06:14 2026 reduce to 22325084 relation sets and 20484957 unique ideals
  149. Mon Jan 19 21:06:14 2026 commencing full merge
  150. Mon Jan 19 21:10:45 2026 memory use: 2394.9 MB
  151. Mon Jan 19 21:10:46 2026 found 10839117 cycles, need 10593157
  152. Mon Jan 19 21:10:49 2026 weight of 10593157 cycles is about 953387894 (90.00/cycle)
  153. Mon Jan 19 21:10:49 2026 distribution of cycle lengths:
  154. Mon Jan 19 21:10:49 2026 1 relations: 937782
  155. Mon Jan 19 21:10:49 2026 2 relations: 895573
  156. Mon Jan 19 21:10:49 2026 3 relations: 945948
  157. Mon Jan 19 21:10:49 2026 4 relations: 939150
  158. Mon Jan 19 21:10:49 2026 5 relations: 947392
  159. Mon Jan 19 21:10:49 2026 6 relations: 917589
  160. Mon Jan 19 21:10:49 2026 7 relations: 867913
  161. Mon Jan 19 21:10:49 2026 8 relations: 789941
  162. Mon Jan 19 21:10:49 2026 9 relations: 701929
  163. Mon Jan 19 21:10:49 2026 10+ relations: 2649940
  164. Mon Jan 19 21:10:49 2026 heaviest cycle: 23 relations
  165. Mon Jan 19 21:10:52 2026 commencing cycle optimization
  166. Mon Jan 19 21:11:07 2026 start with 71424613 relations
  167. Mon Jan 19 21:12:33 2026 pruned 2273846 relations
  168. Mon Jan 19 21:12:34 2026 memory use: 2192.1 MB
  169. Mon Jan 19 21:12:34 2026 distribution of cycle lengths:
  170. Mon Jan 19 21:12:34 2026 1 relations: 937782
  171. Mon Jan 19 21:12:34 2026 2 relations: 916174
  172. Mon Jan 19 21:12:34 2026 3 relations: 981442
  173. Mon Jan 19 21:12:34 2026 4 relations: 971725
  174. Mon Jan 19 21:12:34 2026 5 relations: 985494
  175. Mon Jan 19 21:12:34 2026 6 relations: 950400
  176. Mon Jan 19 21:12:34 2026 7 relations: 899040
  177. Mon Jan 19 21:12:34 2026 8 relations: 811811
  178. Mon Jan 19 21:12:34 2026 9 relations: 715469
  179. Mon Jan 19 21:12:34 2026 10+ relations: 2423820
  180. Mon Jan 19 21:12:34 2026 heaviest cycle: 22 relations
  181. Mon Jan 19 21:12:47 2026 RelProcTime: 4192
  182. Mon Jan 19 21:12:49 2026
  183. Mon Jan 19 21:12:49 2026 commencing linear algebra
  184. Mon Jan 19 21:12:49 2026 using VBITS=256
  185. Mon Jan 19 21:12:49 2026 read 10593157 cycles
  186. Mon Jan 19 21:13:00 2026 cycles contain 35027356 unique relations
  187. Mon Jan 19 21:13:33 2026 read 35027356 relations
  188. Mon Jan 19 21:13:41 2026 using 20 quadratic characters above 4294917295
  189. Mon Jan 19 21:13:52 2026 building initial matrix
  190. Mon Jan 19 21:18:38 2026 memory use: 4532.7 MB
  191. Mon Jan 19 21:18:42 2026 read 10593157 cycles
  192. Mon Jan 19 21:18:43 2026 matrix is 10592969 x 10593157 (3875.2 MB) with weight 1127532987 (106.44/col)
  193. Mon Jan 19 21:18:43 2026 sparse part has weight 909915799 (85.90/col)
  194. Mon Jan 19 21:20:01 2026 filtering completed in 2 passes
  195. Mon Jan 19 21:20:03 2026 matrix is 10587767 x 10587947 (3874.7 MB) with weight 1127350946 (106.47/col)
  196. Mon Jan 19 21:20:03 2026 sparse part has weight 909839050 (85.93/col)
  197. Mon Jan 19 21:20:20 2026 matrix starts at (0, 0)
  198. Mon Jan 19 21:20:21 2026 matrix is 10587767 x 10587947 (3874.7 MB) with weight 1127350946 (106.47/col)
  199. Mon Jan 19 21:20:21 2026 sparse part has weight 909839050 (85.93/col)
  200. Mon Jan 19 21:20:21 2026 saving the first 240 matrix rows for later
  201. Mon Jan 19 21:20:23 2026 matrix includes 256 packed rows
  202. Mon Jan 19 21:20:25 2026 matrix is 10587527 x 10587947 (3663.2 MB) with weight 831165312 (78.50/col)
  203. Mon Jan 19 21:20:25 2026 sparse part has weight 790889844 (74.70/col)
  204. Mon Jan 19 21:20:25 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  205. Mon Jan 19 21:20:25 2026 selected card has CUDA arch 12.0
  206. Mon Jan 19 21:21:09 2026 commencing Lanczos iteration
  207. Mon Jan 19 21:21:11 2026 memory use: 8699.7 MB
  208. Mon Jan 19 21:21:38 2026 linear algebra at 0.3%, ETA 2h35m
  209. Mon Jan 19 21:22:18 2026 checking every 60000 dimensions, checkpointing every 4140000 dimensions
  210. Mon Jan 19 23:55:28 2026 lanczos halted after 41484 iterations (dim = 10587526)
  211. Mon Jan 19 23:56:10 2026 recovered 33 nontrivial dependencies
  212. Mon Jan 19 23:56:11 2026 BLanczosTime: 9802
  213. Mon Jan 19 23:56:11 2026
  214. Mon Jan 19 23:56:11 2026 commencing square root phase
  215. Mon Jan 19 23:56:11 2026 reading relations for dependency 1
  216. Mon Jan 19 23:56:50 2026 read 5291083 cycles
  217. Mon Jan 19 23:57:02 2026 cycles contain 17505924 unique relations
  218. Tue Jan 20 00:02:44 2026 read 17505924 relations
  219. Tue Jan 20 00:04:22 2026 multiplying 17505924 relations
  220. Tue Jan 20 00:05:51 2026 multiply complete, coefficients have about 458.55 million bits
  221. Tue Jan 20 00:05:52 2026 initial square root is modulo 168992713
  222. Tue Jan 20 00:08:53 2026 GCD is N, no factor found
  223. Tue Jan 20 00:08:53 2026 reading relations for dependency 2
  224. Tue Jan 20 00:08:59 2026 read 5294081 cycles
  225. Tue Jan 20 00:09:09 2026 cycles contain 17511254 unique relations
  226. Tue Jan 20 00:10:15 2026 read 17511254 relations
  227. Tue Jan 20 00:11:51 2026 multiplying 17511254 relations
  228. Tue Jan 20 00:13:19 2026 multiply complete, coefficients have about 458.70 million bits
  229. Tue Jan 20 00:13:20 2026 initial square root is modulo 170007403
  230. Tue Jan 20 00:16:33 2026 sqrtTime: 1222
  231. Tue Jan 20 00:16:33 2026 p83 factor: 16371044171503881505482506363410917918880362560815803038409308397090657820080702619
  232. Tue Jan 20 00:16:33 2026 p149 factor: 11152634892368943167497968779492650574320661225520250884569987604845773374529549765200528191730712632297738810455700079333804590897596746198878159679
  233. Tue Jan 20 00:16:33 2026 elapsed time 04:13:39
  234.  
Tags: math
Advertisement
Add Comment
Please, Sign In to add comment
Public Pastes
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!