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loader3229
Apr 2nd, 2025
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  1. Factor: 861090908659969694149720703028205665398784484876458813708040343 and 186202319002704024377249652776038025542382791305095175050232297159575920158746575208186287
  2.  
  3. Polynomial:
  4. # Murphy_E = 4.39e-12, selected by loader3229
  5. n: 160337124064631950328443340298992363697984611390215698774218745007403084978092838748463082061834616183889521877106820226141471155692628547376846055376441
  6. Y0: -435799498238787651036063286198
  7. Y1: 6384051574465307
  8. c0: 39162059733100173576334204784525083395
  9. c1: 20957772664403783176297247797106
  10. c2: -19286238721372767066200115
  11. c3: -764722017056566174
  12. c4: 462229193180
  13. c5: 10200
  14. skew: 6603551.15
  15. type: gnfs
  16. rlim: 40000000
  17. alim: 30000000
  18. lpbr: 29
  19. lpba: 29
  20. mfbr: 57
  21. mfba: 57
  22. rlambda: 2.5
  23. alambda: 2.7
  24.  
  25.  
  26. 04/02/25 18:24:58 v1.34.5 @ LAPTOP-QDT9Q606, System/Build Info:
  27. Using GMP-ECM 6.3, Powered by GMP 5.1.1
  28. cached 78498 primes. pmax = 999983
  29. detected 12th Gen Intel(R) Core(TM) i5-1240P
  30. detected L1 = 49152 bytes, L2 = 12582912 bytes, CL = 64 bytes
  31. measured cpu frequency ~= 2097.381870
  32. using 20 random witnesses for Rabin-Miller PRP checks
  33.  
  34. ===============================================================
  35. ======= Welcome to YAFU (Yet Another Factoring Utility) =======
  36. ======= [email protected] =======
  37. ======= Type help at any time, or quit to quit =======
  38. ===============================================================
  39. cached 78498 primes. pmax = 999983
  40.  
  41. 04/02/25 18:24:58 v1.34.5 @ LAPTOP-QDT9Q606, Processing expression: nfs(160337124064631950328443340298992363697984611390215698774218745007403084978092838748463082061834616183889521877106820226141471155692628547376846055376441)
  42.  
  43. 04/02/25 18:24:33 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing nfs on c153: 160337124064631950328443340298992363697984611390215698774218745007403084978092838748463082061834616183889521877106820226141471155692628547376846055376441
  44. 04/02/25 18:24:33 v1.34.5 @ LAPTOP-QDT9Q606, nfs: resuming with filtering
  45. 04/02/25 18:24:33 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing msieve filtering
  46.  
  47. Wed Apr 02 18:24:33 2025 commencing relation filtering
  48. Wed Apr 02 18:24:33 2025 estimated available RAM is 16077.8 MB
  49.  
  50. 04/02/25 18:24:58 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing msieve filtering
  51.  
  52. Wed Apr 02 18:24:58 2025 commencing relation filtering
  53. Wed Apr 02 18:24:58 2025 estimated available RAM is 16077.8 MB
  54. Wed Apr 02 18:24:58 2025 commencing duplicate removal, pass 1
  55. Wed Apr 02 18:25:45 2025 error -15 reading relation 5086169
  56. Wed Apr 02 18:27:29 2025 error -15 reading relation 18133844
  57. Wed Apr 02 18:27:29 2025 error -9 reading relation 18139298
  58. Wed Apr 02 18:27:29 2025 error -9 reading relation 18147182
  59. Wed Apr 02 18:27:47 2025 error -1 reading relation 20643901
  60. Wed Apr 02 18:31:27 2025 error -15 reading relation 48735867
  61. Wed Apr 02 18:32:29 2025 error -9 reading relation 54087399
  62. Wed Apr 02 18:32:36 2025 error -1 reading relation 54639137
  63. Wed Apr 02 18:33:11 2025 found 9629814 hash collisions in 57687202 relations
  64. Wed Apr 02 18:33:56 2025 added 121997 free relations
  65. Wed Apr 02 18:33:56 2025 commencing duplicate removal, pass 2
  66. Wed Apr 02 18:36:19 2025 found 8675540 duplicates and 49133659 unique relations
  67. Wed Apr 02 18:36:19 2025 memory use: 330.4 MB
  68. Wed Apr 02 18:36:19 2025 reading ideals above 720000
  69. Wed Apr 02 18:36:19 2025 commencing singleton removal, initial pass
  70. Wed Apr 02 18:47:25 2025 memory use: 1378.0 MB
  71. Wed Apr 02 18:47:25 2025 reading all ideals from disk
  72. Wed Apr 02 18:47:27 2025 memory use: 1733.0 MB
  73. Wed Apr 02 18:47:33 2025 keeping 45297893 ideals with weight <= 200, target excess is 261526
  74. Wed Apr 02 18:47:41 2025 commencing in-memory singleton removal
  75. Wed Apr 02 18:47:46 2025 begin with 49133659 relations and 45297893 unique ideals
  76. Wed Apr 02 18:48:31 2025 reduce to 30857045 relations and 25162000 ideals in 13 passes
  77. Wed Apr 02 18:48:31 2025 max relations containing the same ideal: 155
  78. Wed Apr 02 18:48:51 2025 removing 4439851 relations and 3439851 ideals in 1000000 cliques
  79. Wed Apr 02 18:48:53 2025 commencing in-memory singleton removal
  80. Wed Apr 02 18:48:56 2025 begin with 26417194 relations and 25162000 unique ideals
  81. Wed Apr 02 18:49:17 2025 reduce to 25920333 relations and 21206047 ideals in 8 passes
  82. Wed Apr 02 18:49:17 2025 max relations containing the same ideal: 139
  83. Wed Apr 02 18:49:34 2025 removing 3525533 relations and 2525533 ideals in 1000000 cliques
  84. Wed Apr 02 18:49:36 2025 commencing in-memory singleton removal
  85. Wed Apr 02 18:49:38 2025 begin with 22394800 relations and 21206047 unique ideals
  86. Wed Apr 02 18:49:53 2025 reduce to 22030703 relations and 18302813 ideals in 7 passes
  87. Wed Apr 02 18:49:53 2025 max relations containing the same ideal: 125
  88. Wed Apr 02 18:50:07 2025 removing 3283251 relations and 2283251 ideals in 1000000 cliques
  89. Wed Apr 02 18:50:09 2025 commencing in-memory singleton removal
  90. Wed Apr 02 18:50:11 2025 begin with 18747452 relations and 18302813 unique ideals
  91. Wed Apr 02 18:50:25 2025 reduce to 18394488 relations and 15652051 ideals in 8 passes
  92. Wed Apr 02 18:50:25 2025 max relations containing the same ideal: 113
  93. Wed Apr 02 18:50:37 2025 removing 3177720 relations and 2177720 ideals in 1000000 cliques
  94. Wed Apr 02 18:50:39 2025 commencing in-memory singleton removal
  95. Wed Apr 02 18:50:40 2025 begin with 15216768 relations and 15652051 unique ideals
  96. Wed Apr 02 18:50:51 2025 reduce to 14837141 relations and 13076231 ideals in 8 passes
  97. Wed Apr 02 18:50:51 2025 max relations containing the same ideal: 96
  98. Wed Apr 02 18:51:01 2025 removing 3123524 relations and 2123524 ideals in 1000000 cliques
  99. Wed Apr 02 18:51:03 2025 commencing in-memory singleton removal
  100. Wed Apr 02 18:51:04 2025 begin with 11713617 relations and 13076231 unique ideals
  101. Wed Apr 02 18:51:13 2025 reduce to 11270221 relations and 10482913 ideals in 9 passes
  102. Wed Apr 02 18:51:13 2025 max relations containing the same ideal: 79
  103. Wed Apr 02 18:51:21 2025 removing 1753328 relations and 1269391 ideals in 483937 cliques
  104. Wed Apr 02 18:51:22 2025 commencing in-memory singleton removal
  105. Wed Apr 02 18:51:23 2025 begin with 9516893 relations and 10482913 unique ideals
  106. Wed Apr 02 18:51:29 2025 reduce to 9331463 relations and 9020917 ideals in 8 passes
  107. Wed Apr 02 18:51:29 2025 max relations containing the same ideal: 67
  108. Wed Apr 02 18:51:37 2025 relations with 0 large ideals: 822
  109. Wed Apr 02 18:51:37 2025 relations with 1 large ideals: 3577
  110. Wed Apr 02 18:51:37 2025 relations with 2 large ideals: 51604
  111. Wed Apr 02 18:51:37 2025 relations with 3 large ideals: 330034
  112. Wed Apr 02 18:51:37 2025 relations with 4 large ideals: 1111957
  113. Wed Apr 02 18:51:37 2025 relations with 5 large ideals: 2175352
  114. Wed Apr 02 18:51:37 2025 relations with 6 large ideals: 2609923
  115. Wed Apr 02 18:51:37 2025 relations with 7+ large ideals: 3048194
  116. Wed Apr 02 18:51:37 2025 commencing 2-way merge
  117. Wed Apr 02 18:51:46 2025 reduce to 5986390 relation sets and 5675844 unique ideals
  118. Wed Apr 02 18:51:46 2025 commencing full merge
  119. Wed Apr 02 18:53:40 2025 memory use: 693.8 MB
  120. Wed Apr 02 18:53:42 2025 found 3238566 cycles, need 3190044
  121. Wed Apr 02 18:53:42 2025 weight of 3190044 cycles is about 223645930 (70.11/cycle)
  122. Wed Apr 02 18:53:42 2025 distribution of cycle lengths:
  123. Wed Apr 02 18:53:42 2025 1 relations: 345586
  124. Wed Apr 02 18:53:42 2025 2 relations: 379868
  125. Wed Apr 02 18:53:42 2025 3 relations: 397074
  126. Wed Apr 02 18:53:42 2025 4 relations: 381162
  127. Wed Apr 02 18:53:42 2025 5 relations: 363407
  128. Wed Apr 02 18:53:42 2025 6 relations: 320207
  129. Wed Apr 02 18:53:42 2025 7 relations: 271358
  130. Wed Apr 02 18:53:42 2025 8 relations: 217156
  131. Wed Apr 02 18:53:42 2025 9 relations: 165698
  132. Wed Apr 02 18:53:42 2025 10+ relations: 348528
  133. Wed Apr 02 18:53:42 2025 heaviest cycle: 17 relations
  134. Wed Apr 02 18:53:44 2025 commencing cycle optimization
  135. Wed Apr 02 18:53:50 2025 start with 16670034 relations
  136. Wed Apr 02 18:54:25 2025 pruned 458740 relations
  137. Wed Apr 02 18:54:25 2025 memory use: 553.2 MB
  138. Wed Apr 02 18:54:25 2025 distribution of cycle lengths:
  139. Wed Apr 02 18:54:25 2025 1 relations: 345586
  140. Wed Apr 02 18:54:25 2025 2 relations: 388818
  141. Wed Apr 02 18:54:25 2025 3 relations: 412865
  142. Wed Apr 02 18:54:25 2025 4 relations: 393386
  143. Wed Apr 02 18:54:25 2025 5 relations: 375250
  144. Wed Apr 02 18:54:25 2025 6 relations: 326611
  145. Wed Apr 02 18:54:25 2025 7 relations: 274998
  146. Wed Apr 02 18:54:25 2025 8 relations: 214819
  147. Wed Apr 02 18:54:25 2025 9 relations: 159862
  148. Wed Apr 02 18:54:25 2025 10+ relations: 297849
  149. Wed Apr 02 18:54:25 2025 heaviest cycle: 17 relations
  150. Wed Apr 02 18:54:29 2025 RelProcTime: 1771
  151.  
  152. 04/02/25 18:54:29 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing msieve linear algebra
  153.  
  154. Wed Apr 02 18:54:29 2025 commencing linear algebra
  155. Wed Apr 02 18:54:30 2025 read 3190044 cycles
  156. Wed Apr 02 18:54:38 2025 cycles contain 9111169 unique relations
  157. Wed Apr 02 18:56:03 2025 read 9111169 relations
  158. Wed Apr 02 18:56:22 2025 using 20 quadratic characters above 536869832
  159. Wed Apr 02 18:57:24 2025 building initial matrix
  160. Wed Apr 02 19:00:04 2025 memory use: 1267.2 MB
  161. Wed Apr 02 19:00:07 2025 read 3190044 cycles
  162. Wed Apr 02 19:00:08 2025 matrix is 3189864 x 3190044 (966.5 MB) with weight 303430017 (95.12/col)
  163. Wed Apr 02 19:00:08 2025 sparse part has weight 215074717 (67.42/col)
  164. Wed Apr 02 19:00:47 2025 filtering completed in 2 passes
  165. Wed Apr 02 19:00:48 2025 matrix is 3188883 x 3189063 (966.4 MB) with weight 303391863 (95.14/col)
  166. Wed Apr 02 19:00:48 2025 sparse part has weight 215063497 (67.44/col)
  167. Wed Apr 02 19:00:59 2025 matrix starts at (0, 0)
  168. Wed Apr 02 19:01:00 2025 matrix is 3188883 x 3189063 (966.4 MB) with weight 303391863 (95.14/col)
  169. Wed Apr 02 19:01:00 2025 sparse part has weight 215063497 (67.44/col)
  170. Wed Apr 02 19:01:00 2025 saving the first 48 matrix rows for later
  171. Wed Apr 02 19:01:01 2025 matrix includes 64 packed rows
  172. Wed Apr 02 19:01:01 2025 matrix is 3188835 x 3189063 (928.8 MB) with weight 240323071 (75.36/col)
  173. Wed Apr 02 19:01:01 2025 sparse part has weight 211587251 (66.35/col)
  174. Wed Apr 02 19:01:01 2025 using block size 65536 for processor cache size 12288 kB
  175. Wed Apr 02 19:01:25 2025 commencing Lanczos iteration (8 threads)
  176. Wed Apr 02 19:01:25 2025 memory use: 906.0 MB
  177. Wed Apr 02 19:01:42 2025 linear algebra at 0.0%, ETA 9h20m
  178. Wed Apr 02 19:01:48 2025 checkpointing every 340000 dimensions
  179. Wed Apr 02 19:13:12 2025 lanczos halted after 1136 iterations (dim = 71834)
  180. Wed Apr 02 19:13:12 2025 BLanczosTime: 1123
  181.  
  182. 04/02/25 19:13:25 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing msieve linear algebra
  183.  
  184. Wed Apr 02 19:13:25 2025 commencing linear algebra
  185. Wed Apr 02 19:13:26 2025 read 3189063 cycles
  186. Wed Apr 02 19:13:33 2025 cycles contain 9110980 unique relations
  187. Wed Apr 02 19:14:59 2025 read 9110980 relations
  188. Wed Apr 02 19:15:20 2025 using 20 quadratic characters above 536869832
  189. Wed Apr 02 19:16:17 2025 building initial matrix
  190. Wed Apr 02 19:18:56 2025 memory use: 1267.2 MB
  191. Wed Apr 02 19:18:59 2025 read 3189063 cycles
  192. Wed Apr 02 19:19:00 2025 matrix is 3188883 x 3189063 (966.4 MB) with weight 303391863 (95.14/col)
  193. Wed Apr 02 19:19:00 2025 sparse part has weight 215063497 (67.44/col)
  194. Wed Apr 02 19:19:22 2025 filtering completed in 1 passes
  195. Wed Apr 02 19:19:23 2025 matrix is 3188883 x 3189063 (966.4 MB) with weight 303391863 (95.14/col)
  196. Wed Apr 02 19:19:23 2025 sparse part has weight 215063497 (67.44/col)
  197. Wed Apr 02 19:19:31 2025 matrix starts at (0, 0)
  198. Wed Apr 02 19:19:32 2025 matrix is 3188883 x 3189063 (966.4 MB) with weight 303391863 (95.14/col)
  199. Wed Apr 02 19:19:32 2025 sparse part has weight 215063497 (67.44/col)
  200. Wed Apr 02 19:19:32 2025 saving the first 48 matrix rows for later
  201. Wed Apr 02 19:19:33 2025 matrix includes 64 packed rows
  202. Wed Apr 02 19:19:34 2025 matrix is 3188835 x 3189063 (928.8 MB) with weight 240323071 (75.36/col)
  203. Wed Apr 02 19:19:34 2025 sparse part has weight 211587251 (66.35/col)
  204. Wed Apr 02 19:19:34 2025 using block size 65536 for processor cache size 12288 kB
  205. Wed Apr 02 19:19:57 2025 commencing Lanczos iteration (8 threads)
  206. Wed Apr 02 19:19:57 2025 memory use: 906.0 MB
  207. Wed Apr 02 19:20:14 2025 linear algebra at 0.0%, ETA 9h21m
  208. Wed Apr 02 19:20:19 2025 checkpointing every 350000 dimensions
  209. Thu Apr 03 09:21:34 2025 lanczos halted after 50430 iterations (dim = 3188832)
  210. Thu Apr 03 09:21:37 2025 recovered 27 nontrivial dependencies
  211. Thu Apr 03 09:21:38 2025 BLanczosTime: 50893
  212.  
  213. 04/03/25 09:55:00 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing msieve sqrt
  214.  
  215. Thu Apr 03 09:55:00 2025 commencing square root phase
  216. Thu Apr 03 09:55:00 2025 reading relations for dependency 1
  217. Thu Apr 03 09:55:01 2025 read 1594800 cycles
  218. Thu Apr 03 09:55:04 2025 cycles contain 4555918 unique relations
  219. Thu Apr 03 09:55:54 2025 read 4555918 relations
  220. Thu Apr 03 09:56:25 2025 multiplying 4555918 relations
  221. Thu Apr 03 10:04:16 2025 multiply complete, coefficients have about 228.74 million bits
  222. Thu Apr 03 10:04:18 2025 initial square root is modulo 161790107
  223. Thu Apr 03 10:13:41 2025 GCD is N, no factor found
  224. Thu Apr 03 10:13:41 2025 reading relations for dependency 2
  225. Thu Apr 03 10:13:42 2025 read 1594160 cycles
  226. Thu Apr 03 10:13:46 2025 cycles contain 4553100 unique relations
  227. Thu Apr 03 10:14:45 2025 read 4553100 relations
  228. Thu Apr 03 10:15:19 2025 multiplying 4553100 relations
  229. Thu Apr 03 10:23:17 2025 multiply complete, coefficients have about 228.60 million bits
  230. Thu Apr 03 10:23:19 2025 initial square root is modulo 159853387
  231. Thu Apr 03 10:33:41 2025 GCD is N, no factor found
  232. Thu Apr 03 10:33:41 2025 reading relations for dependency 3
  233. Thu Apr 03 10:33:42 2025 read 1594222 cycles
  234. Thu Apr 03 10:33:46 2025 cycles contain 4554822 unique relations
  235. Thu Apr 03 10:34:57 2025 read 4554822 relations
  236. Thu Apr 03 10:35:33 2025 multiplying 4554822 relations
  237. Thu Apr 03 10:44:35 2025 multiply complete, coefficients have about 228.68 million bits
  238. Thu Apr 03 10:44:39 2025 initial square root is modulo 160956637
  239. Thu Apr 03 10:56:49 2025 sqrtTime: 3709
  240.  
  241. 04/03/25 10:56:49 v1.34.5 @ LAPTOP-QDT9Q606, prp63 = 861090908659969694149720703028205665398784484876458813708040343
  242. 04/03/25 10:56:49 v1.34.5 @ LAPTOP-QDT9Q606, prp90 = 186202319002704024377249652776038025542382791305095175050232297159575920158746575208186287
  243.  
  244.  
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