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loader3229

52227_233

loader3229
Apr 22nd, 2025
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  1. Factors: 86262050293361840022385972200321453778998743888124198791346157 and 13807062206574346795168746003881249625311079400470705490973511054186045026692205410323186767
  2.  
  3. Polynomial:
  4. # Murphy_E = 4.139e-12, selected by loader3229
  5. n: 1191025494467091806186381109577393304345296829936645520387123768684005791844316972494045205725580356891857511025665902945423184043614222559949842058704419
  6. Y0: -1459249986097181220148780591218
  7. Y1: 3661535934571477
  8. c0: -260996819751250689116413074650140310845
  9. c1: 349165636344295208708964493747590
  10. c2: -15477476694667484751573934
  11. c3: -427527930820274550
  12. c4: 10494861551
  13. c5: 180
  14. skew: 35667614.38
  15. type: gnfs
  16. lss: 0
  17. rlim: 50000000
  18. alim: 40000000
  19. lpbr: 29
  20. lpba: 29
  21. mfbr: 57
  22. mfba: 57
  23. rlambda: 2.5
  24. alambda: 2.7
  25.  
  26.  
  27. 04/21/25 21:51:33 v1.34.5 @ LAPTOP-QDT9Q606, System/Build Info:
  28. Using GMP-ECM 6.3, Powered by GMP 5.1.1
  29. cached 78498 primes. pmax = 999983
  30. detected 12th Gen Intel(R) Core(TM) i5-1240P
  31. detected L1 = 49152 bytes, L2 = 12582912 bytes, CL = 64 bytes
  32. measured cpu frequency ~= 2114.724760
  33. using 20 random witnesses for Rabin-Miller PRP checks
  34.  
  35. ===============================================================
  36. ======= Welcome to YAFU (Yet Another Factoring Utility) =======
  37. ======= [email protected] =======
  38. ======= Type help at any time, or quit to quit =======
  39. ===============================================================
  40. cached 78498 primes. pmax = 999983
  41.  
  42. 04/21/25 21:51:37 v1.34.5 @ LAPTOP-QDT9Q606, Processing expression: nfs(1191025494467091806186381109577393304345296829936645520387123768684005791844316972494045205725580356891857511025665902945423184043614222559949842058704419)
  43.  
  44. 04/21/25 21:51:37 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing nfs on c154: 1191025494467091806186381109577393304345296829936645520387123768684005791844316972494045205725580356891857511025665902945423184043614222559949842058704419
  45.  
  46. Mon Apr 21 21:51:37 2025
  47. Mon Apr 21 21:51:37 2025 commencing relation filtering
  48. Mon Apr 21 21:51:37 2025 estimated available RAM is 16077.8 MB
  49. Mon Apr 21 21:51:37 2025 commencing duplicate removal, pass 1
  50. Mon Apr 21 21:53:20 2025 error -15 reading relation 11075951
  51. Mon Apr 21 21:53:36 2025 error -15 reading relation 13028083
  52. Mon Apr 21 21:53:44 2025 error -15 reading relation 13852542
  53. Mon Apr 21 21:53:56 2025 error -9 reading relation 15371018
  54. Mon Apr 21 21:53:58 2025 error -15 reading relation 15519457
  55. Mon Apr 21 21:53:58 2025 error -15 reading relation 15556498
  56. Mon Apr 21 21:53:59 2025 error -15 reading relation 15671761
  57. Mon Apr 21 21:54:10 2025 error -15 reading relation 16925308
  58. Mon Apr 21 21:54:38 2025 error -15 reading relation 21452217
  59. Mon Apr 21 21:54:47 2025 error -9 reading relation 23132955
  60. Mon Apr 21 21:54:50 2025 error -9 reading relation 23643018
  61. Mon Apr 21 21:54:52 2025 error -9 reading relation 24212593
  62. Mon Apr 21 21:54:55 2025 error -15 reading relation 24862272
  63. Mon Apr 21 21:54:59 2025 error -15 reading relation 25546088
  64. Mon Apr 21 21:54:59 2025 error -15 reading relation 25556031
  65. Mon Apr 21 21:54:59 2025 error -15 reading relation 25565560
  66. Mon Apr 21 21:54:59 2025 error -9 reading relation 25574860
  67. Mon Apr 21 21:55:28 2025 error -15 reading relation 30978752
  68. Mon Apr 21 21:55:31 2025 error -15 reading relation 31509434
  69. Mon Apr 21 21:55:31 2025 error -15 reading relation 31567017
  70. Mon Apr 21 21:55:44 2025 error -5 reading relation 33886426
  71. Mon Apr 21 21:55:45 2025 error -1 reading relation 34165768
  72. Mon Apr 21 21:55:46 2025 error -9 reading relation 34411027
  73. Mon Apr 21 21:55:50 2025 error -15 reading relation 35231663
  74. Mon Apr 21 21:55:51 2025 error -15 reading relation 35281849
  75. Mon Apr 21 21:56:00 2025 error -15 reading relation 37406587
  76. Mon Apr 21 21:56:05 2025 error -9 reading relation 38458855
  77. Mon Apr 21 21:56:15 2025 error -15 reading relation 40515819
  78. Mon Apr 21 21:56:24 2025 error -11 reading relation 42266845
  79. Mon Apr 21 21:56:28 2025 error -1 reading relation 42778669
  80. Mon Apr 21 21:56:28 2025 error -9 reading relation 42851469
  81. Mon Apr 21 21:56:31 2025 error -15 reading relation 43306500
  82. Mon Apr 21 21:56:57 2025 error -15 reading relation 48187022
  83. Mon Apr 21 21:57:17 2025 error -15 reading relation 52217102
  84. Mon Apr 21 21:57:23 2025 error -15 reading relation 53640816
  85. Mon Apr 21 21:57:23 2025 error -9 reading relation 53655138
  86. Mon Apr 21 21:57:23 2025 error -15 reading relation 53665089
  87. Mon Apr 21 21:57:27 2025 error -15 reading relation 54452351
  88. Mon Apr 21 21:57:33 2025 found 9229239 hash collisions in 55526318 relations
  89. Mon Apr 21 21:58:05 2025 added 122209 free relations
  90. Mon Apr 21 21:58:05 2025 commencing duplicate removal, pass 2
  91. Mon Apr 21 21:58:49 2025 found 8335294 duplicates and 47313233 unique relations
  92. Mon Apr 21 21:58:49 2025 memory use: 330.4 MB
  93. Mon Apr 21 21:58:49 2025 reading ideals above 720000
  94. Mon Apr 21 21:58:49 2025 commencing singleton removal, initial pass
  95. Mon Apr 21 22:05:31 2025 memory use: 1378.0 MB
  96. Mon Apr 21 22:05:31 2025 reading all ideals from disk
  97. Mon Apr 21 22:05:43 2025 memory use: 1685.2 MB
  98. Mon Apr 21 22:05:48 2025 keeping 45089685 ideals with weight <= 200, target excess is 247974
  99. Mon Apr 21 22:05:53 2025 commencing in-memory singleton removal
  100. Mon Apr 21 22:05:58 2025 begin with 47313233 relations and 45089685 unique ideals
  101. Mon Apr 21 22:06:29 2025 reduce to 28561369 relations and 24333065 ideals in 14 passes
  102. Mon Apr 21 22:06:29 2025 max relations containing the same ideal: 154
  103. Mon Apr 21 22:06:44 2025 removing 2463219 relations and 2063219 ideals in 400000 cliques
  104. Mon Apr 21 22:06:45 2025 commencing in-memory singleton removal
  105. Mon Apr 21 22:06:47 2025 begin with 26098150 relations and 24333065 unique ideals
  106. Mon Apr 21 22:07:02 2025 reduce to 25940209 relations and 22109058 ideals in 8 passes
  107. Mon Apr 21 22:07:02 2025 max relations containing the same ideal: 142
  108. Mon Apr 21 22:07:16 2025 removing 1877366 relations and 1477366 ideals in 400000 cliques
  109. Mon Apr 21 22:07:17 2025 commencing in-memory singleton removal
  110. Mon Apr 21 22:07:18 2025 begin with 24062843 relations and 22109058 unique ideals
  111. Mon Apr 21 22:07:31 2025 reduce to 23958090 relations and 20525330 ideals in 8 passes
  112. Mon Apr 21 22:07:31 2025 max relations containing the same ideal: 135
  113. Mon Apr 21 22:07:44 2025 removing 1696787 relations and 1296787 ideals in 400000 cliques
  114. Mon Apr 21 22:07:44 2025 commencing in-memory singleton removal
  115. Mon Apr 21 22:07:46 2025 begin with 22261303 relations and 20525330 unique ideals
  116. Mon Apr 21 22:07:56 2025 reduce to 22167732 relations and 19133562 ideals in 7 passes
  117. Mon Apr 21 22:07:56 2025 max relations containing the same ideal: 127
  118. Mon Apr 21 22:08:08 2025 removing 1607604 relations and 1207604 ideals in 400000 cliques
  119. Mon Apr 21 22:08:09 2025 commencing in-memory singleton removal
  120. Mon Apr 21 22:08:11 2025 begin with 20560128 relations and 19133562 unique ideals
  121. Mon Apr 21 22:08:22 2025 reduce to 20470255 relations and 17834676 ideals in 8 passes
  122. Mon Apr 21 22:08:22 2025 max relations containing the same ideal: 120
  123. Mon Apr 21 22:08:33 2025 removing 1552258 relations and 1152258 ideals in 400000 cliques
  124. Mon Apr 21 22:08:33 2025 commencing in-memory singleton removal
  125. Mon Apr 21 22:08:35 2025 begin with 18917997 relations and 17834676 unique ideals
  126. Mon Apr 21 22:08:44 2025 reduce to 18827741 relations and 16590634 ideals in 7 passes
  127. Mon Apr 21 22:08:44 2025 max relations containing the same ideal: 115
  128. Mon Apr 21 22:08:54 2025 removing 1520193 relations and 1120193 ideals in 400000 cliques
  129. Mon Apr 21 22:08:55 2025 commencing in-memory singleton removal
  130. Mon Apr 21 22:08:57 2025 begin with 17307548 relations and 16590634 unique ideals
  131. Mon Apr 21 22:09:04 2025 reduce to 17215430 relations and 15376595 ideals in 7 passes
  132. Mon Apr 21 22:09:04 2025 max relations containing the same ideal: 108
  133. Mon Apr 21 22:09:14 2025 removing 1498505 relations and 1098505 ideals in 400000 cliques
  134. Mon Apr 21 22:09:15 2025 commencing in-memory singleton removal
  135. Mon Apr 21 22:09:16 2025 begin with 15716925 relations and 15376595 unique ideals
  136. Mon Apr 21 22:09:23 2025 reduce to 15619535 relations and 14178843 ideals in 7 passes
  137. Mon Apr 21 22:09:23 2025 max relations containing the same ideal: 101
  138. Mon Apr 21 22:09:31 2025 removing 1488350 relations and 1088350 ideals in 400000 cliques
  139. Mon Apr 21 22:09:32 2025 commencing in-memory singleton removal
  140. Mon Apr 21 22:09:33 2025 begin with 14131185 relations and 14178843 unique ideals
  141. Mon Apr 21 22:09:39 2025 reduce to 14027116 relations and 12984165 ideals in 7 passes
  142. Mon Apr 21 22:09:39 2025 max relations containing the same ideal: 92
  143. Mon Apr 21 22:09:46 2025 removing 1481754 relations and 1081754 ideals in 400000 cliques
  144. Mon Apr 21 22:09:47 2025 commencing in-memory singleton removal
  145. Mon Apr 21 22:09:48 2025 begin with 12545362 relations and 12984165 unique ideals
  146. Mon Apr 21 22:09:54 2025 reduce to 12431436 relations and 11785739 ideals in 8 passes
  147. Mon Apr 21 22:09:54 2025 max relations containing the same ideal: 88
  148. Mon Apr 21 22:10:01 2025 removing 1358837 relations and 1000790 ideals in 358047 cliques
  149. Mon Apr 21 22:10:01 2025 commencing in-memory singleton removal
  150. Mon Apr 21 22:10:02 2025 begin with 11072599 relations and 11785739 unique ideals
  151. Mon Apr 21 22:10:07 2025 reduce to 10965866 relations and 10675602 ideals in 7 passes
  152. Mon Apr 21 22:10:07 2025 max relations containing the same ideal: 79
  153. Mon Apr 21 22:10:15 2025 relations with 0 large ideals: 780
  154. Mon Apr 21 22:10:15 2025 relations with 1 large ideals: 2566
  155. Mon Apr 21 22:10:15 2025 relations with 2 large ideals: 38707
  156. Mon Apr 21 22:10:15 2025 relations with 3 large ideals: 273585
  157. Mon Apr 21 22:10:15 2025 relations with 4 large ideals: 1024859
  158. Mon Apr 21 22:10:15 2025 relations with 5 large ideals: 2254626
  159. Mon Apr 21 22:10:15 2025 relations with 6 large ideals: 3064390
  160. Mon Apr 21 22:10:15 2025 relations with 7+ large ideals: 4306353
  161. Mon Apr 21 22:10:15 2025 commencing 2-way merge
  162. Mon Apr 21 22:10:23 2025 reduce to 7045591 relation sets and 6755327 unique ideals
  163. Mon Apr 21 22:10:23 2025 commencing full merge
  164. Mon Apr 21 22:12:15 2025 memory use: 825.0 MB
  165. Mon Apr 21 22:12:17 2025 found 3779346 cycles, need 3737527
  166. Mon Apr 21 22:12:17 2025 weight of 3737527 cycles is about 261936075 (70.08/cycle)
  167. Mon Apr 21 22:12:17 2025 distribution of cycle lengths:
  168. Mon Apr 21 22:12:17 2025 1 relations: 441031
  169. Mon Apr 21 22:12:17 2025 2 relations: 451353
  170. Mon Apr 21 22:12:17 2025 3 relations: 455951
  171. Mon Apr 21 22:12:17 2025 4 relations: 428053
  172. Mon Apr 21 22:12:17 2025 5 relations: 403768
  173. Mon Apr 21 22:12:17 2025 6 relations: 355729
  174. Mon Apr 21 22:12:17 2025 7 relations: 305634
  175. Mon Apr 21 22:12:17 2025 8 relations: 251339
  176. Mon Apr 21 22:12:17 2025 9 relations: 197649
  177. Mon Apr 21 22:12:17 2025 10+ relations: 447020
  178. Mon Apr 21 22:12:17 2025 heaviest cycle: 18 relations
  179. Mon Apr 21 22:12:18 2025 commencing cycle optimization
  180. Mon Apr 21 22:12:23 2025 start with 19688787 relations
  181. Mon Apr 21 22:12:57 2025 pruned 533181 relations
  182. Mon Apr 21 22:12:57 2025 memory use: 651.7 MB
  183. Mon Apr 21 22:12:57 2025 distribution of cycle lengths:
  184. Mon Apr 21 22:12:57 2025 1 relations: 441031
  185. Mon Apr 21 22:12:57 2025 2 relations: 461773
  186. Mon Apr 21 22:12:57 2025 3 relations: 473603
  187. Mon Apr 21 22:12:57 2025 4 relations: 440434
  188. Mon Apr 21 22:12:57 2025 5 relations: 415885
  189. Mon Apr 21 22:12:57 2025 6 relations: 363146
  190. Mon Apr 21 22:12:57 2025 7 relations: 310448
  191. Mon Apr 21 22:12:57 2025 8 relations: 249394
  192. Mon Apr 21 22:12:57 2025 9 relations: 192244
  193. Mon Apr 21 22:12:57 2025 10+ relations: 389569
  194. Mon Apr 21 22:12:57 2025 heaviest cycle: 18 relations
  195. Mon Apr 21 22:13:01 2025 RelProcTime: 1284
  196. Mon Apr 21 22:13:01 2025
  197. Mon Apr 21 22:13:01 2025 commencing linear algebra
  198. Mon Apr 21 22:13:02 2025 read 3737527 cycles
  199. Mon Apr 21 22:13:07 2025 cycles contain 10774559 unique relations
  200. Mon Apr 21 22:14:10 2025 read 10774559 relations
  201. Mon Apr 21 22:14:32 2025 using 20 quadratic characters above 536870562
  202. Mon Apr 21 22:15:22 2025 building initial matrix
  203. Mon Apr 21 22:17:18 2025 memory use: 1478.4 MB
  204. Mon Apr 21 22:17:21 2025 read 3737527 cycles
  205. Mon Apr 21 22:17:22 2025 matrix is 3737347 x 3737527 (1133.5 MB) with weight 356052788 (95.26/col)
  206. Mon Apr 21 22:17:22 2025 sparse part has weight 252287950 (67.50/col)
  207. Mon Apr 21 22:17:53 2025 filtering completed in 2 passes
  208. Mon Apr 21 22:17:54 2025 matrix is 3736378 x 3736558 (1133.4 MB) with weight 356018456 (95.28/col)
  209. Mon Apr 21 22:17:54 2025 sparse part has weight 252279571 (67.52/col)
  210. Mon Apr 21 22:18:01 2025 matrix starts at (0, 0)
  211. Mon Apr 21 22:18:02 2025 matrix is 3736378 x 3736558 (1133.4 MB) with weight 356018456 (95.28/col)
  212. Mon Apr 21 22:18:02 2025 sparse part has weight 252279571 (67.52/col)
  213. Mon Apr 21 22:18:02 2025 saving the first 48 matrix rows for later
  214. Mon Apr 21 22:18:03 2025 matrix includes 64 packed rows
  215. Mon Apr 21 22:18:03 2025 matrix is 3736330 x 3736558 (1093.9 MB) with weight 282934907 (75.72/col)
  216. Mon Apr 21 22:18:03 2025 sparse part has weight 249382351 (66.74/col)
  217. Mon Apr 21 22:18:03 2025 using block size 65536 for processor cache size 12288 kB
  218. Mon Apr 21 22:18:24 2025 commencing Lanczos iteration (8 threads)
  219. Mon Apr 21 22:18:24 2025 memory use: 1067.9 MB
  220. Mon Apr 21 22:18:39 2025 linear algebra at 0.0%, ETA 9h32m
  221. Mon Apr 21 22:18:44 2025 checkpointing every 390000 dimensions
  222. Tue Apr 22 14:13:53 2025 lanczos halted after 59090 iterations (dim = 3736330)
  223. Tue Apr 22 14:14:01 2025 recovered 30 nontrivial dependencies
  224. Tue Apr 22 14:14:01 2025 BLanczosTime: 57660
  225. Tue Apr 22 14:14:01 2025
  226. Tue Apr 22 14:14:01 2025 commencing square root phase
  227. Tue Apr 22 14:14:01 2025 reading relations for dependency 1
  228. Tue Apr 22 14:14:03 2025 read 1867586 cycles
  229. Tue Apr 22 14:14:07 2025 cycles contain 5385766 unique relations
  230. Tue Apr 22 14:15:11 2025 read 5385766 relations
  231. Tue Apr 22 14:16:05 2025 multiplying 5385766 relations
  232. Tue Apr 22 14:25:38 2025 multiply complete, coefficients have about 238.99 million bits
  233. Tue Apr 22 14:25:41 2025 initial square root is modulo 377134309
  234. Tue Apr 22 14:34:56 2025 sqrtTime: 1255
  235.  
  236. 04/22/25 14:34:56 v1.34.5 @ LAPTOP-QDT9Q606, prp62 = 86262050293361840022385972200321453778998743888124198791346157
  237. 04/22/25 14:34:56 v1.34.5 @ LAPTOP-QDT9Q606, prp92 = 13807062206574346795168746003881249625311079400470705490973511054186045026692205410323186767
  238.  
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