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67666_234 postprocessing

loader3229
Mar 31st, 2025
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  1. Factor: 37587351308575880322328695668358068135523285809648721851 and 3113485487083500965695292865765751359936909398392599708698172284237558507757817246024020557316683
  2.  
  3. Relations sieved by loader3229 (Special Q: 10M-12M): 2172560
  4. Relations received from NFS@Home (Special Q: 12M-36M): 46612261
  5.  
  6. 03/30/25 21:24:32 v1.34.5 @ LAPTOP-QDT9Q606, System/Build Info:
  7. Using GMP-ECM 6.3, Powered by GMP 5.1.1
  8. cached 78498 primes. pmax = 999983
  9. detected 12th Gen Intel(R) Core(TM) i5-1240P
  10. detected L1 = 49152 bytes, L2 = 12582912 bytes, CL = 64 bytes
  11. measured cpu frequency ~= 2096.451890
  12. using 20 random witnesses for Rabin-Miller PRP checks
  13.  
  14. ===============================================================
  15. ======= Welcome to YAFU (Yet Another Factoring Utility) =======
  16. ======= [email protected] =======
  17. ======= Type help at any time, or quit to quit =======
  18. ===============================================================
  19. cached 78498 primes. pmax = 999983
  20.  
  21. 03/30/25 21:24:32 v1.34.5 @ LAPTOP-QDT9Q606, Processing expression: nfs(117027672797160042154013591997595355674985511869845736433416328309474906263353170830470600126579582430590893172563891864922569980524721339256077188940233)
  22.  
  23. 03/30/25 21:24:32 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing nfs on c153: 117027672797160042154013591997595355674985511869845736433416328309474906263353170830470600126579582430590893172563891864922569980524721339256077188940233
  24. 03/30/25 21:24:32 v1.34.5 @ LAPTOP-QDT9Q606, nfs: resuming with filtering
  25. 03/30/25 21:24:32 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing msieve filtering
  26.  
  27. Sun Mar 30 21:24:32 2025
  28. Sun Mar 30 21:24:32 2025 commencing relation filtering
  29. Sun Mar 30 21:24:32 2025 estimated available RAM is 16077.8 MB
  30. Sun Mar 30 21:24:32 2025 commencing duplicate removal, pass 1
  31. Sun Mar 30 21:30:33 2025 found 7738551 hash collisions in 48784821 relations
  32. Sun Mar 30 21:31:17 2025 added 122133 free relations
  33. Sun Mar 30 21:31:17 2025 commencing duplicate removal, pass 2
  34. Sun Mar 30 21:32:03 2025 found 7367399 duplicates and 41539555 unique relations
  35. Sun Mar 30 21:32:03 2025 memory use: 213.2 MB
  36. Sun Mar 30 21:32:03 2025 reading ideals above 720000
  37. Sun Mar 30 21:32:03 2025 commencing singleton removal, initial pass
  38. Sun Mar 30 21:39:29 2025 memory use: 1378.0 MB
  39. Sun Mar 30 21:39:29 2025 reading all ideals from disk
  40. Sun Mar 30 21:39:31 2025 memory use: 1472.4 MB
  41. Sun Mar 30 21:39:35 2025 keeping 42992983 ideals with weight <= 200, target excess is 222256
  42. Sun Mar 30 21:39:41 2025 commencing in-memory singleton removal
  43. Sun Mar 30 21:39:45 2025 begin with 41539554 relations and 42992983 unique ideals
  44. Sun Mar 30 21:40:35 2025 reduce to 20422782 relations and 19054782 ideals in 19 passes
  45. Sun Mar 30 21:40:35 2025 max relations containing the same ideal: 131
  46. Sun Mar 30 21:40:50 2025 removing 2868593 relations and 2468593 ideals in 400000 cliques
  47. Sun Mar 30 21:40:51 2025 commencing in-memory singleton removal
  48. Sun Mar 30 21:40:53 2025 begin with 17554189 relations and 19054782 unique ideals
  49. Sun Mar 30 21:41:09 2025 reduce to 17224698 relations and 16248263 ideals in 10 passes
  50. Sun Mar 30 21:41:09 2025 max relations containing the same ideal: 119
  51. Sun Mar 30 21:41:22 2025 removing 2187662 relations and 1787662 ideals in 400000 cliques
  52. Sun Mar 30 21:41:23 2025 commencing in-memory singleton removal
  53. Sun Mar 30 21:41:25 2025 begin with 15037036 relations and 16248263 unique ideals
  54. Sun Mar 30 21:41:38 2025 reduce to 14804453 relations and 14222470 ideals in 9 passes
  55. Sun Mar 30 21:41:38 2025 max relations containing the same ideal: 102
  56. Sun Mar 30 21:41:49 2025 removing 1692203 relations and 1368037 ideals in 324166 cliques
  57. Sun Mar 30 21:41:50 2025 commencing in-memory singleton removal
  58. Sun Mar 30 21:41:51 2025 begin with 13112250 relations and 14222470 unique ideals
  59. Sun Mar 30 21:42:04 2025 reduce to 12955329 relations and 12694247 ideals in 9 passes
  60. Sun Mar 30 21:42:04 2025 max relations containing the same ideal: 96
  61. Sun Mar 30 21:42:16 2025 relations with 0 large ideals: 725
  62. Sun Mar 30 21:42:16 2025 relations with 1 large ideals: 1889
  63. Sun Mar 30 21:42:16 2025 relations with 2 large ideals: 28763
  64. Sun Mar 30 21:42:16 2025 relations with 3 large ideals: 223978
  65. Sun Mar 30 21:42:16 2025 relations with 4 large ideals: 940573
  66. Sun Mar 30 21:42:16 2025 relations with 5 large ideals: 2330270
  67. Sun Mar 30 21:42:16 2025 relations with 6 large ideals: 3540328
  68. Sun Mar 30 21:42:16 2025 relations with 7+ large ideals: 5888803
  69. Sun Mar 30 21:42:16 2025 commencing 2-way merge
  70. Sun Mar 30 21:42:30 2025 reduce to 7876106 relation sets and 7615025 unique ideals
  71. Sun Mar 30 21:42:30 2025 ignored 1 oversize relation sets
  72. Sun Mar 30 21:42:30 2025 commencing full merge
  73. Sun Mar 30 21:45:36 2025 memory use: 914.0 MB
  74. Sun Mar 30 21:45:39 2025 found 4144180 cycles, need 4107225
  75. Sun Mar 30 21:45:39 2025 weight of 4107225 cycles is about 287676839 (70.04/cycle)
  76. Sun Mar 30 21:45:39 2025 distribution of cycle lengths:
  77. Sun Mar 30 21:45:39 2025 1 relations: 576990
  78. Sun Mar 30 21:45:39 2025 2 relations: 516363
  79. Sun Mar 30 21:45:39 2025 3 relations: 498984
  80. Sun Mar 30 21:45:39 2025 4 relations: 441585
  81. Sun Mar 30 21:45:39 2025 5 relations: 392635
  82. Sun Mar 30 21:45:39 2025 6 relations: 336214
  83. Sun Mar 30 21:45:39 2025 7 relations: 291702
  84. Sun Mar 30 21:45:39 2025 8 relations: 244168
  85. Sun Mar 30 21:45:39 2025 9 relations: 201240
  86. Sun Mar 30 21:45:39 2025 10+ relations: 607344
  87. Sun Mar 30 21:45:39 2025 heaviest cycle: 20 relations
  88. Sun Mar 30 21:45:42 2025 commencing cycle optimization
  89. Sun Mar 30 21:45:50 2025 start with 22059560 relations
  90. Sun Mar 30 21:46:41 2025 pruned 492338 relations
  91. Sun Mar 30 21:46:41 2025 memory use: 749.8 MB
  92. Sun Mar 30 21:46:41 2025 distribution of cycle lengths:
  93. Sun Mar 30 21:46:41 2025 1 relations: 576990
  94. Sun Mar 30 21:46:41 2025 2 relations: 528070
  95. Sun Mar 30 21:46:41 2025 3 relations: 515869
  96. Sun Mar 30 21:46:41 2025 4 relations: 450622
  97. Sun Mar 30 21:46:41 2025 5 relations: 400130
  98. Sun Mar 30 21:46:41 2025 6 relations: 339814
  99. Sun Mar 30 21:46:41 2025 7 relations: 292912
  100. Sun Mar 30 21:46:41 2025 8 relations: 242912
  101. Sun Mar 30 21:46:41 2025 9 relations: 198505
  102. Sun Mar 30 21:46:41 2025 10+ relations: 561401
  103. Sun Mar 30 21:46:41 2025 heaviest cycle: 20 relations
  104. Sun Mar 30 21:46:48 2025 RelProcTime: 1336
  105.  
  106. 03/30/25 21:46:48 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing msieve linear algebra
  107.  
  108. Sun Mar 30 21:46:48 2025 commencing linear algebra
  109. Sun Mar 30 21:46:49 2025 read 4107225 cycles
  110. Sun Mar 30 21:46:58 2025 cycles contain 12701109 unique relations
  111. Sun Mar 30 21:48:41 2025 read 12701109 relations
  112. Sun Mar 30 21:49:14 2025 using 20 quadratic characters above 536870234
  113. Sun Mar 30 21:50:31 2025 building initial matrix
  114. Sun Mar 30 21:53:51 2025 memory use: 1716.1 MB
  115. Sun Mar 30 21:53:56 2025 read 4107225 cycles
  116. Sun Mar 30 21:53:57 2025 matrix is 4107046 x 4107225 (1249.1 MB) with weight 396604543 (96.56/col)
  117. Sun Mar 30 21:53:57 2025 sparse part has weight 278167062 (67.73/col)
  118. Sun Mar 30 21:54:55 2025 filtering completed in 2 passes
  119. Sun Mar 30 21:54:57 2025 matrix is 4103524 x 4103699 (1248.9 MB) with weight 396469118 (96.61/col)
  120. Sun Mar 30 21:54:57 2025 sparse part has weight 278135069 (67.78/col)
  121. Sun Mar 30 21:55:08 2025 matrix starts at (0, 0)
  122. Sun Mar 30 21:55:10 2025 matrix is 4103524 x 4103699 (1248.9 MB) with weight 396469118 (96.61/col)
  123. Sun Mar 30 21:55:10 2025 sparse part has weight 278135069 (67.78/col)
  124. Sun Mar 30 21:55:10 2025 saving the first 48 matrix rows for later
  125. Sun Mar 30 21:55:11 2025 matrix includes 64 packed rows
  126. Sun Mar 30 21:55:12 2025 matrix is 4103476 x 4103699 (1211.9 MB) with weight 315603017 (76.91/col)
  127. Sun Mar 30 21:55:12 2025 sparse part has weight 276651361 (67.42/col)
  128. Sun Mar 30 21:55:12 2025 using block size 65536 for processor cache size 12288 kB
  129. Sun Mar 30 21:55:42 2025 commencing Lanczos iteration (8 threads)
  130. Sun Mar 30 21:55:42 2025 memory use: 1187.7 MB
  131. Sun Mar 30 21:56:00 2025 linear algebra at 0.0%, ETA 13h28m
  132. Sun Mar 30 21:56:06 2025 checkpointing every 310000 dimensions
  133. Mon Mar 31 13:11:10 2025 lanczos halted after 64890 iterations (dim = 4103476)
  134. Mon Mar 31 13:11:17 2025 recovered 30 nontrivial dependencies
  135. Mon Mar 31 13:11:18 2025 BLanczosTime: 55470
  136.  
  137. 03/31/25 13:11:18 v1.34.5 @ LAPTOP-QDT9Q606, nfs: commencing msieve sqrt
  138.  
  139. Mon Mar 31 13:11:18 2025 commencing square root phase
  140. Mon Mar 31 13:11:18 2025 reading relations for dependency 1
  141. Mon Mar 31 13:11:19 2025 read 2052152 cycles
  142. Mon Mar 31 13:11:24 2025 cycles contain 6351496 unique relations
  143. Mon Mar 31 13:13:19 2025 read 6351496 relations
  144. Mon Mar 31 13:14:01 2025 multiplying 6351496 relations
  145. Mon Mar 31 13:27:21 2025 multiply complete, coefficients have about 343.12 million bits
  146. Mon Mar 31 13:27:24 2025 initial square root is modulo 1434491
  147. Mon Mar 31 13:44:31 2025 sqrtTime: 1993
  148.  
  149.  
  150. 03/31/25 13:44:31 v1.34.5 @ LAPTOP-QDT9Q606, prp56 = 37587351308575880322328695668358068135523285809648721851
  151. 03/31/25 13:44:31 v1.34.5 @ LAPTOP-QDT9Q606, prp97 = 3113485487083500965695292865765751359936909398392599708698172284237558507757817246024020557316683
  152. 03/31/25 13:44:31 v1.34.5 @ LAPTOP-QDT9Q606, NFS elapsed time = 58798.8884 seconds.
  153. 03/31/25 13:44:31 v1.34.5 @ LAPTOP-QDT9Q606,
  154. 03/31/25 13:44:31 v1.34.5 @ LAPTOP-QDT9Q606,
  155.  
  156.  
  157.  
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