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4p3_1347M

May 3rd, 2023
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  1. Mon May 1 12:02:27 2023
  2. Mon May 1 12:02:27 2023
  3. Mon May 1 12:02:27 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon May 1 12:02:27 2023 random seeds: 7e6cbf8a 0a22a493
  5. Mon May 1 12:02:27 2023 MPI process 0 of 1
  6. Mon May 1 12:02:27 2023 Using 46 OpenMP threads
  7. Mon May 1 12:02:27 2023 factoring 56027205889722432468365966009842220158549156297950709303666497071792530382254471014917775378812453380932086519075422242729040336357203425905409204982650213530622593212326359419145771636903719224728954541489513210789298747153189170082924026995241501919807781934265079 (266 digits)
  8. Mon May 1 12:02:28 2023 no P-1/P+1/ECM available, skipping
  9. Mon May 1 12:02:28 2023 commencing number field sieve (266-digit input)
  10. Mon May 1 12:02:28 2023 R0: 1427247692705959881058285969449495136382746624
  11. Mon May 1 12:02:28 2023 R1: -608266787713357709119683992618861307
  12. Mon May 1 12:02:28 2023 A0: 4
  13. Mon May 1 12:02:28 2023 A1: 0
  14. Mon May 1 12:02:28 2023 A2: 0
  15. Mon May 1 12:02:28 2023 A3: 6
  16. Mon May 1 12:02:28 2023 A4: 0
  17. Mon May 1 12:02:28 2023 A5: 0
  18. Mon May 1 12:02:28 2023 A6: 3
  19. Mon May 1 12:02:28 2023 skew 1.05, size 2.738e-13, alpha 1.048, combined = 4.293e-14 rroots = 0
  20. Mon May 1 12:02:28 2023
  21. Mon May 1 12:02:28 2023 commencing relation filtering
  22. Mon May 1 12:02:28 2023 setting target matrix density to 110.0
  23. Mon May 1 12:02:28 2023 estimated available RAM is 192069.2 MB
  24. Mon May 1 12:02:28 2023 commencing duplicate removal, pass 1
  25. Mon May 1 12:06:26 2023 skipped 1738 relations with b > 2^32
  26. Mon May 1 12:06:26 2023 skipped 2 relations with composite factors
  27. Mon May 1 12:06:26 2023 skipped 338 malformed relations
  28. Mon May 1 12:06:26 2023 found 12583610 hash collisions in 337414374 relations
  29. Mon May 1 12:06:38 2023 added 812988 free relations
  30. Mon May 1 12:06:38 2023 commencing duplicate removal, pass 2
  31. Mon May 1 12:08:01 2023 found 0 duplicates and 338227362 unique relations
  32. Mon May 1 12:08:01 2023 memory use: 1044.8 MB
  33. Mon May 1 12:08:01 2023 reading ideals above 720000
  34. Mon May 1 12:08:01 2023 commencing singleton removal, initial pass
  35. Mon May 1 12:20:42 2023 memory use: 11024.0 MB
  36. Mon May 1 12:20:42 2023 reading all ideals from disk
  37. Mon May 1 12:20:50 2023 memory use: 16830.1 MB
  38. Mon May 1 12:21:15 2023 keeping 332583986 ideals with weight <= 200, target excess is 1736783
  39. Mon May 1 12:21:47 2023 commencing in-memory singleton removal
  40. Mon May 1 12:21:50 2023 begin with 338227361 relations and 332583986 unique ideals
  41. Mon May 1 12:22:07 2023 reduce to 194624857 relations and 171990576 ideals in 16 passes
  42. Mon May 1 12:22:07 2023 max relations containing the same ideal: 148
  43. Mon May 1 12:22:59 2023 removing 15596137 relations and 13596137 ideals in 2000000 cliques
  44. Mon May 1 12:23:08 2023 commencing in-memory singleton removal
  45. Mon May 1 12:23:10 2023 begin with 179028720 relations and 171990576 unique ideals
  46. Mon May 1 12:23:17 2023 reduce to 177962042 relations and 157312379 ideals in 10 passes
  47. Mon May 1 12:23:17 2023 max relations containing the same ideal: 142
  48. Mon May 1 12:24:06 2023 removing 11705030 relations and 9705030 ideals in 2000000 cliques
  49. Mon May 1 12:24:14 2023 commencing in-memory singleton removal
  50. Mon May 1 12:24:15 2023 begin with 166257012 relations and 157312379 unique ideals
  51. Mon May 1 12:24:22 2023 reduce to 165584035 relations and 146926049 ideals in 9 passes
  52. Mon May 1 12:24:22 2023 max relations containing the same ideal: 135
  53. Mon May 1 12:25:08 2023 removing 10498184 relations and 8498184 ideals in 2000000 cliques
  54. Mon May 1 12:25:15 2023 commencing in-memory singleton removal
  55. Mon May 1 12:25:16 2023 begin with 155085851 relations and 146926049 unique ideals
  56. Mon May 1 12:25:22 2023 reduce to 154501722 relations and 137836556 ideals in 8 passes
  57. Mon May 1 12:25:22 2023 max relations containing the same ideal: 126
  58. Mon May 1 12:26:05 2023 removing 9876628 relations and 7876628 ideals in 2000000 cliques
  59. Mon May 1 12:26:12 2023 commencing in-memory singleton removal
  60. Mon May 1 12:26:13 2023 begin with 144625094 relations and 137836556 unique ideals
  61. Mon May 1 12:26:19 2023 reduce to 144071927 relations and 129399966 ideals in 8 passes
  62. Mon May 1 12:26:19 2023 max relations containing the same ideal: 120
  63. Mon May 1 12:26:58 2023 removing 9494138 relations and 7494138 ideals in 2000000 cliques
  64. Mon May 1 12:27:05 2023 commencing in-memory singleton removal
  65. Mon May 1 12:27:06 2023 begin with 134577789 relations and 129399966 unique ideals
  66. Mon May 1 12:27:11 2023 reduce to 134031976 relations and 121352862 ideals in 8 passes
  67. Mon May 1 12:27:11 2023 max relations containing the same ideal: 114
  68. Mon May 1 12:27:52 2023 removing 9243825 relations and 7243825 ideals in 2000000 cliques
  69. Mon May 1 12:27:58 2023 commencing in-memory singleton removal
  70. Mon May 1 12:28:00 2023 begin with 124788151 relations and 121352862 unique ideals
  71. Mon May 1 12:28:04 2023 reduce to 124235335 relations and 113548729 ideals in 8 passes
  72. Mon May 1 12:28:04 2023 max relations containing the same ideal: 112
  73. Mon May 1 12:28:39 2023 removing 9090816 relations and 7090816 ideals in 2000000 cliques
  74. Mon May 1 12:28:45 2023 commencing in-memory singleton removal
  75. Mon May 1 12:28:46 2023 begin with 115144519 relations and 113548729 unique ideals
  76. Mon May 1 12:28:50 2023 reduce to 114573143 relations and 105878366 ideals in 8 passes
  77. Mon May 1 12:28:50 2023 max relations containing the same ideal: 105
  78. Mon May 1 12:29:23 2023 removing 9000998 relations and 7000998 ideals in 2000000 cliques
  79. Mon May 1 12:29:29 2023 commencing in-memory singleton removal
  80. Mon May 1 12:29:30 2023 begin with 105572145 relations and 105878366 unique ideals
  81. Mon May 1 12:29:34 2023 reduce to 104965123 relations and 98260999 ideals in 9 passes
  82. Mon May 1 12:29:34 2023 max relations containing the same ideal: 100
  83. Mon May 1 12:30:04 2023 removing 8968328 relations and 6968328 ideals in 2000000 cliques
  84. Mon May 1 12:30:09 2023 commencing in-memory singleton removal
  85. Mon May 1 12:30:10 2023 begin with 95996795 relations and 98260999 unique ideals
  86. Mon May 1 12:30:14 2023 reduce to 95341379 relations and 90626387 ideals in 8 passes
  87. Mon May 1 12:30:14 2023 max relations containing the same ideal: 91
  88. Mon May 1 12:30:42 2023 removing 8973130 relations and 6973130 ideals in 2000000 cliques
  89. Mon May 1 12:30:47 2023 commencing in-memory singleton removal
  90. Mon May 1 12:30:48 2023 begin with 86368249 relations and 90626387 unique ideals
  91. Mon May 1 12:30:51 2023 reduce to 85647461 relations and 82919355 ideals in 8 passes
  92. Mon May 1 12:30:51 2023 max relations containing the same ideal: 87
  93. Mon May 1 12:31:17 2023 removing 3987543 relations and 3274106 ideals in 713437 cliques
  94. Mon May 1 12:31:20 2023 commencing in-memory singleton removal
  95. Mon May 1 12:31:21 2023 begin with 81659918 relations and 82919355 unique ideals
  96. Mon May 1 12:31:24 2023 reduce to 81517607 relations and 79501906 ideals in 8 passes
  97. Mon May 1 12:31:24 2023 max relations containing the same ideal: 84
  98. Mon May 1 12:32:03 2023 relations with 0 large ideals: 44099
  99. Mon May 1 12:32:03 2023 relations with 1 large ideals: 31778
  100. Mon May 1 12:32:03 2023 relations with 2 large ideals: 418891
  101. Mon May 1 12:32:03 2023 relations with 3 large ideals: 2580419
  102. Mon May 1 12:32:03 2023 relations with 4 large ideals: 8678854
  103. Mon May 1 12:32:03 2023 relations with 5 large ideals: 17483285
  104. Mon May 1 12:32:03 2023 relations with 6 large ideals: 22018572
  105. Mon May 1 12:32:03 2023 relations with 7+ large ideals: 30261709
  106. Mon May 1 12:32:03 2023 commencing 2-way merge
  107. Mon May 1 12:32:40 2023 reduce to 50451989 relation sets and 48436288 unique ideals
  108. Mon May 1 12:32:40 2023 commencing full merge
  109. Mon May 1 12:45:57 2023 memory use: 6120.0 MB
  110. Mon May 1 12:46:01 2023 found 23204010 cycles, need 23018488
  111. Mon May 1 12:46:08 2023 weight of 23018488 cycles is about 2532615217 (110.03/cycle)
  112. Mon May 1 12:46:08 2023 distribution of cycle lengths:
  113. Mon May 1 12:46:08 2023 1 relations: 1964104
  114. Mon May 1 12:46:08 2023 2 relations: 1920334
  115. Mon May 1 12:46:08 2023 3 relations: 1905254
  116. Mon May 1 12:46:08 2023 4 relations: 1808958
  117. Mon May 1 12:46:08 2023 5 relations: 1730193
  118. Mon May 1 12:46:08 2023 6 relations: 1642549
  119. Mon May 1 12:46:08 2023 7 relations: 1543486
  120. Mon May 1 12:46:08 2023 8 relations: 1441523
  121. Mon May 1 12:46:08 2023 9 relations: 1327712
  122. Mon May 1 12:46:08 2023 10+ relations: 7734375
  123. Mon May 1 12:46:08 2023 heaviest cycle: 28 relations
  124. Mon May 1 12:46:16 2023 commencing cycle optimization
  125. Mon May 1 12:46:54 2023 start with 180191072 relations
  126. Mon May 1 12:52:05 2023 pruned 6413832 relations
  127. Mon May 1 12:52:05 2023 memory use: 5177.1 MB
  128. Mon May 1 12:52:06 2023 distribution of cycle lengths:
  129. Mon May 1 12:52:06 2023 1 relations: 1964104
  130. Mon May 1 12:52:06 2023 2 relations: 1964748
  131. Mon May 1 12:52:06 2023 3 relations: 1978363
  132. Mon May 1 12:52:06 2023 4 relations: 1869918
  133. Mon May 1 12:52:06 2023 5 relations: 1797428
  134. Mon May 1 12:52:06 2023 6 relations: 1697057
  135. Mon May 1 12:52:06 2023 7 relations: 1597244
  136. Mon May 1 12:52:06 2023 8 relations: 1483009
  137. Mon May 1 12:52:06 2023 9 relations: 1361748
  138. Mon May 1 12:52:06 2023 10+ relations: 7304869
  139. Mon May 1 12:52:06 2023 heaviest cycle: 28 relations
  140. Mon May 1 12:52:55 2023 RelProcTime: 3027
  141. Mon May 1 12:52:55 2023 elapsed time 00:50:28
  142. Mon May 1 12:52:58 2023
  143. Mon May 1 12:52:58 2023
  144. Mon May 1 12:52:58 2023 Msieve v. 1.54 (SVN Unversioned directory)
  145. Mon May 1 12:52:58 2023 random seeds: 4d17918f 951db780
  146. Mon May 1 12:52:58 2023 MPI process 0 of 1
  147. Mon May 1 12:52:58 2023 Using 46 OpenMP threads
  148. Mon May 1 12:52:58 2023 factoring 56027205889722432468365966009842220158549156297950709303666497071792530382254471014917775378812453380932086519075422242729040336357203425905409204982650213530622593212326359419145771636903719224728954541489513210789298747153189170082924026995241501919807781934265079 (266 digits)
  149. Mon May 1 12:52:59 2023 no P-1/P+1/ECM available, skipping
  150. Mon May 1 12:52:59 2023 commencing number field sieve (266-digit input)
  151. Mon May 1 12:52:59 2023 R0: 1427247692705959881058285969449495136382746624
  152. Mon May 1 12:52:59 2023 R1: -608266787713357709119683992618861307
  153. Mon May 1 12:52:59 2023 A0: 4
  154. Mon May 1 12:52:59 2023 A1: 0
  155. Mon May 1 12:52:59 2023 A2: 0
  156. Mon May 1 12:52:59 2023 A3: 6
  157. Mon May 1 12:52:59 2023 A4: 0
  158. Mon May 1 12:52:59 2023 A5: 0
  159. Mon May 1 12:52:59 2023 A6: 3
  160. Mon May 1 12:52:59 2023 skew 1.05, size 2.738e-13, alpha 1.048, combined = 4.293e-14 rroots = 0
  161. Mon May 1 12:52:59 2023
  162. Mon May 1 12:52:59 2023 commencing linear algebra
  163. Mon May 1 12:52:59 2023 using VBITS=128
  164. Mon May 1 12:52:59 2023 stopping after matrix build
  165. Mon May 1 12:52:59 2023 initialized process (0,0) of 1 x 1 grid
  166. Mon May 1 12:53:03 2023 read 23018488 cycles
  167. Mon May 1 12:53:42 2023 cycles contain 80207627 unique relations
  168. Mon May 1 12:54:34 2023 read 80207627 relations
  169. Mon May 1 12:54:40 2023 using 20 quadratic characters above 4294917295
  170. Mon May 1 12:54:50 2023 building initial matrix
  171. Mon May 1 13:11:17 2023 memory use: 10250.4 MB
  172. Mon May 1 13:11:38 2023 read 23018488 cycles
  173. Mon May 1 13:11:41 2023 matrix is 23018309 x 23018488 (10117.7 MB) with weight 2901222284 (126.04/col)
  174. Mon May 1 13:11:41 2023 sparse part has weight 2399096584 (104.22/col)
  175. Mon May 1 13:16:01 2023 filtering completed in 2 passes
  176. Mon May 1 13:16:04 2023 matrix is 23014844 x 23015023 (10117.4 MB) with weight 2901102925 (126.05/col)
  177. Mon May 1 13:16:04 2023 sparse part has weight 2399054656 (104.24/col)
  178. Mon May 1 13:17:05 2023 BLanczosTime: 1446
  179. Mon May 1 13:17:05 2023 elapsed time 00:24:07
  180. Mon May 1 13:27:34 2023
  181. Mon May 1 13:27:34 2023
  182. Mon May 1 13:27:34 2023 Msieve v. 1.54 (SVN Unversioned directory)
  183. Mon May 1 13:27:34 2023 random seeds: 85a68c00 3e097eee
  184. Mon May 1 13:27:34 2023 MPI process 0 of 2
  185. Mon May 1 13:27:34 2023 Using 23 OpenMP threads
  186. Mon May 1 13:27:34 2023 factoring 56027205889722432468365966009842220158549156297950709303666497071792530382254471014917775378812453380932086519075422242729040336357203425905409204982650213530622593212326359419145771636903719224728954541489513210789298747153189170082924026995241501919807781934265079 (266 digits)
  187. Mon May 1 13:27:35 2023 no P-1/P+1/ECM available, skipping
  188. Mon May 1 13:27:35 2023 commencing number field sieve (266-digit input)
  189. Mon May 1 13:27:35 2023 R0: 1427247692705959881058285969449495136382746624
  190. Mon May 1 13:27:35 2023 R1: -608266787713357709119683992618861307
  191. Mon May 1 13:27:35 2023 A0: 4
  192. Mon May 1 13:27:35 2023 A1: 0
  193. Mon May 1 13:27:35 2023 A2: 0
  194. Mon May 1 13:27:35 2023 A3: 6
  195. Mon May 1 13:27:35 2023 A4: 0
  196. Mon May 1 13:27:35 2023 A5: 0
  197. Mon May 1 13:27:35 2023 A6: 3
  198. Mon May 1 13:27:35 2023 skew 1.05, size 2.738e-13, alpha 1.048, combined = 4.293e-14 rroots = 0
  199. Mon May 1 13:27:35 2023
  200. Mon May 1 13:27:35 2023 commencing linear algebra
  201. Mon May 1 13:27:35 2023 using VBITS=256
  202. Mon May 1 13:27:35 2023 skipping matrix build
  203. Mon May 1 13:27:35 2023 initialized process (0,0) of 1 x 2 grid
  204. Mon May 1 13:27:43 2023 matrix starts at (0, 0)
  205. Mon May 1 13:27:45 2023 matrix is 23014844 x 11507565 (5058.7 MB) with weight 1450553097 (126.05/col)
  206. Mon May 1 13:27:45 2023 sparse part has weight 1199527489 (104.24/col)
  207. Mon May 1 13:27:45 2023 saving the first 240 matrix rows for later
  208. Mon May 1 13:27:49 2023 matrix includes 256 packed rows
  209. Mon May 1 13:27:52 2023 matrix is 23014604 x 11507565 (4678.3 MB) with weight 1095670111 (95.21/col)
  210. Mon May 1 13:27:52 2023 sparse part has weight 1042262913 (90.57/col)
  211. Mon May 1 13:27:52 2023 using GPU 0 (Tesla T4)
  212. Mon May 1 13:27:52 2023 selected card has CUDA arch 7.5
  213. Mon May 1 13:29:10 2023 commencing Lanczos iteration
  214. Mon May 1 13:29:12 2023 memory use: 11946.5 MB
  215. Mon May 1 13:31:59 2023 linear algebra at 0.1%, ETA 34h36m
  216. Mon May 1 13:36:10 2023 checking every 10000 dimensions, checkpointing every 670000 dimensions
  217. Wed May 3 00:13:46 2023 lanczos halted after 90172 iterations (dim = 23014603)
  218. Wed May 3 00:15:23 2023 recovered 37 nontrivial dependencies
  219. Wed May 3 00:15:24 2023 BLanczosTime: 125269
  220. Wed May 3 00:15:24 2023 elapsed time 34:47:50
  221. Wed May 3 00:15:25 2023
  222. Wed May 3 00:15:25 2023
  223. Wed May 3 00:15:25 2023 Msieve v. 1.54 (SVN Unversioned directory)
  224. Wed May 3 00:15:25 2023 random seeds: 878c034f 641a5be8
  225. Wed May 3 00:15:25 2023 MPI process 0 of 1
  226. Wed May 3 00:15:25 2023 Using 32 OpenMP threads
  227. Wed May 3 00:15:25 2023 factoring 56027205889722432468365966009842220158549156297950709303666497071792530382254471014917775378812453380932086519075422242729040336357203425905409204982650213530622593212326359419145771636903719224728954541489513210789298747153189170082924026995241501919807781934265079 (266 digits)
  228. Wed May 3 00:15:26 2023 no P-1/P+1/ECM available, skipping
  229. Wed May 3 00:15:26 2023 commencing number field sieve (266-digit input)
  230. Wed May 3 00:15:26 2023 R0: 1427247692705959881058285969449495136382746624
  231. Wed May 3 00:15:26 2023 R1: -608266787713357709119683992618861307
  232. Wed May 3 00:15:26 2023 A0: 4
  233. Wed May 3 00:15:26 2023 A1: 0
  234. Wed May 3 00:15:26 2023 A2: 0
  235. Wed May 3 00:15:26 2023 A3: 6
  236. Wed May 3 00:15:26 2023 A4: 0
  237. Wed May 3 00:15:26 2023 A5: 0
  238. Wed May 3 00:15:26 2023 A6: 3
  239. Wed May 3 00:15:26 2023 skew 1.05, size 2.738e-13, alpha 1.048, combined = 4.293e-14 rroots = 0
  240. Wed May 3 00:15:26 2023
  241. Wed May 3 00:15:26 2023 commencing square root phase
  242. Wed May 3 00:15:26 2023 reading relations for dependency 1
  243. Wed May 3 00:15:29 2023 read 11508234 cycles
  244. Wed May 3 00:15:50 2023 cycles contain 40101508 unique relations
  245. Wed May 3 00:16:43 2023 read 40101508 relations
  246. Wed May 3 00:19:40 2023 multiplying 40101508 relations
  247. Wed May 3 00:22:14 2023 multiply complete, coefficients have about 1118.21 million bits
  248. Wed May 3 00:22:18 2023 initial square root is modulo 103811
  249. Wed May 3 00:30:04 2023 sqrtTime: 878
  250. Wed May 3 00:30:05 2023 p67 factor: 9883282683678180393404616264813709645348004978625770206116714142171
  251. Wed May 3 00:30:05 2023 p199 factor: 5668886308619804244591406500379548874240765261137415247699817825536084541982825737047276867329396374305881032240356183901486508171742462026050127862137296728157139253101669910736109714984495317449749
  252. Wed May 3 00:30:05 2023 elapsed time 00:14:40
  253.  
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