10m3_333

Wed May 14 15:40:11 2025
Wed May 14 15:40:11 2025
Wed May 14 15:40:11 2025  Msieve v. 1.54 (SVN Unversioned directory)
Wed May 14 15:40:11 2025  random seeds: 358a0f6d 38e126f8
Wed May 14 15:40:11 2025  MPI process 0 of 1
Wed May 14 15:40:11 2025  Using 64 OpenMP threads
Wed May 14 15:40:11 2025  factoring 292110222736705960867426552716248702034880327271787304519292347241165721009214189613059634659688521964304666262553013141133793416443997973533873289584250212951241781297232916377535196063738139227408307211550366691 (213 digits)
Wed May 14 15:40:12 2025  no P-1/P+1/ECM available, skipping
Wed May 14 15:40:12 2025  commencing number field sieve (213-digit input)
Wed May 14 15:40:12 2025  R0: 10000000000000000000000000000000000000
Wed May 14 15:40:12 2025  R1: -450283905890997363
Wed May 14 15:40:12 2025  A0: 1
Wed May 14 15:40:12 2025  A1: 0
Wed May 14 15:40:12 2025  A2: 0
Wed May 14 15:40:12 2025  A3: 1
Wed May 14 15:40:12 2025  A4: 0
Wed May 14 15:40:12 2025  A5: 0
Wed May 14 15:40:12 2025  A6: 1
Wed May 14 15:40:12 2025  skew 1.00, size 6.089e-11, alpha 1.996, combined = 2.352e-12 rroots = 0
Wed May 14 15:40:12 2025
Wed May 14 15:40:12 2025  commencing relation filtering
Wed May 14 15:40:12 2025  setting target matrix density to 110.0
Wed May 14 15:40:12 2025  estimated available RAM is 1031760.2 MB
Wed May 14 15:40:12 2025  commencing duplicate removal, pass 1
Wed May 14 15:41:12 2025  skipped 11 relations with b > 2^32
Wed May 14 15:41:12 2025  skipped 64 malformed relations
Wed May 14 15:41:12 2025  found 5409344 hash collisions in 111480293 relations
Wed May 14 15:41:16 2025  added 2438352 free relations
Wed May 14 15:41:16 2025  commencing duplicate removal, pass 2
Wed May 14 15:41:35 2025  found 0 duplicates and 113918645 unique relations
Wed May 14 15:41:35 2025  memory use: 394.4 MB
Wed May 14 15:41:35 2025  reading ideals above 720000
Wed May 14 15:41:35 2025  commencing singleton removal, initial pass
Wed May 14 15:44:01 2025  memory use: 2756.0 MB
Wed May 14 15:44:02 2025  reading all ideals from disk
Wed May 14 15:44:03 2025  memory use: 5089.5 MB
Wed May 14 15:44:08 2025  keeping 91751436 ideals with weight <= 200, target excess is 575233
Wed May 14 15:44:14 2025  commencing in-memory singleton removal
Wed May 14 15:44:14 2025  begin with 113918645 relations and 91751436 unique ideals
Wed May 14 15:44:16 2025  reduce to 83434271 relations and 58811786 ideals in 11 passes
Wed May 14 15:44:16 2025  max relations containing the same ideal: 170
Wed May 14 15:44:28 2025  removing 7345272 relations and 5345272 ideals in 2000000 cliques
Wed May 14 15:44:31 2025  commencing in-memory singleton removal
Wed May 14 15:44:31 2025  begin with 76088999 relations and 58811786 unique ideals
Wed May 14 15:44:32 2025  reduce to 75545872 relations and 52907316 ideals in 7 passes
Wed May 14 15:44:32 2025  max relations containing the same ideal: 162
Wed May 14 15:44:43 2025  removing 6034341 relations and 4034341 ideals in 2000000 cliques
Wed May 14 15:44:45 2025  commencing in-memory singleton removal
Wed May 14 15:44:45 2025  begin with 69511531 relations and 52907316 unique ideals
Wed May 14 15:44:46 2025  reduce to 69139603 relations and 48491002 ideals in 6 passes
Wed May 14 15:44:46 2025  max relations containing the same ideal: 155
Wed May 14 15:44:57 2025  removing 5636058 relations and 3636058 ideals in 2000000 cliques
Wed May 14 15:44:59 2025  commencing in-memory singleton removal
Wed May 14 15:44:59 2025  begin with 63503545 relations and 48491002 unique ideals
Wed May 14 15:45:00 2025  reduce to 63179111 relations and 44521797 ideals in 7 passes
Wed May 14 15:45:00 2025  max relations containing the same ideal: 144
Wed May 14 15:45:10 2025  removing 5428120 relations and 3428120 ideals in 2000000 cliques
Wed May 14 15:45:12 2025  commencing in-memory singleton removal
Wed May 14 15:45:12 2025  begin with 57750991 relations and 44521797 unique ideals
Wed May 14 15:45:13 2025  reduce to 57447101 relations and 40781064 ideals in 6 passes
Wed May 14 15:45:13 2025  max relations containing the same ideal: 133
Wed May 14 15:45:22 2025  removing 5296544 relations and 3296544 ideals in 2000000 cliques
Wed May 14 15:45:24 2025  commencing in-memory singleton removal
Wed May 14 15:45:24 2025  begin with 52150557 relations and 40781064 unique ideals
Wed May 14 15:45:25 2025  reduce to 51851519 relations and 37176420 ideals in 6 passes
Wed May 14 15:45:25 2025  max relations containing the same ideal: 123
Wed May 14 15:45:33 2025  removing 5206922 relations and 3206922 ideals in 2000000 cliques
Wed May 14 15:45:34 2025  commencing in-memory singleton removal
Wed May 14 15:45:34 2025  begin with 46644597 relations and 37176420 unique ideals
Wed May 14 15:45:35 2025  reduce to 46338028 relations and 33652788 ideals in 7 passes
Wed May 14 15:45:35 2025  max relations containing the same ideal: 116
Wed May 14 15:45:43 2025  removing 5143654 relations and 3143654 ideals in 2000000 cliques
Wed May 14 15:45:45 2025  commencing in-memory singleton removal
Wed May 14 15:45:45 2025  begin with 41194374 relations and 33652788 unique ideals
Wed May 14 15:45:45 2025  reduce to 40873710 relations and 30176470 ideals in 6 passes
Wed May 14 15:45:45 2025  max relations containing the same ideal: 108
Wed May 14 15:45:52 2025  removing 5099643 relations and 3099643 ideals in 2000000 cliques
Wed May 14 15:45:53 2025  commencing in-memory singleton removal
Wed May 14 15:45:53 2025  begin with 35774067 relations and 30176470 unique ideals
Wed May 14 15:45:54 2025  reduce to 35430099 relations and 26718785 ideals in 6 passes
Wed May 14 15:45:54 2025  max relations containing the same ideal: 98
Wed May 14 15:45:59 2025  removing 5068178 relations and 3068178 ideals in 2000000 cliques
Wed May 14 15:46:00 2025  commencing in-memory singleton removal
Wed May 14 15:46:00 2025  begin with 30361921 relations and 26718785 unique ideals
Wed May 14 15:46:01 2025  reduce to 29981982 relations and 23253095 ideals in 7 passes
Wed May 14 15:46:01 2025  max relations containing the same ideal: 88
Wed May 14 15:46:06 2025  removing 5046070 relations and 3046070 ideals in 2000000 cliques
Wed May 14 15:46:07 2025  commencing in-memory singleton removal
Wed May 14 15:46:07 2025  begin with 24935912 relations and 23253095 unique ideals
Wed May 14 15:46:07 2025  reduce to 24505500 relations and 19753504 ideals in 6 passes
Wed May 14 15:46:07 2025  max relations containing the same ideal: 75
Wed May 14 15:46:11 2025  removing 5022290 relations and 3022290 ideals in 2000000 cliques
Wed May 14 15:46:12 2025  commencing in-memory singleton removal
Wed May 14 15:46:12 2025  begin with 19483210 relations and 19753504 unique ideals
Wed May 14 15:46:13 2025  reduce to 18979717 relations and 16195008 ideals in 7 passes
Wed May 14 15:46:13 2025  max relations containing the same ideal: 62
Wed May 14 15:46:16 2025  removing 4985136 relations and 2985136 ideals in 2000000 cliques
Wed May 14 15:46:17 2025  commencing in-memory singleton removal
Wed May 14 15:46:17 2025  begin with 13994581 relations and 16195008 unique ideals
Wed May 14 15:46:17 2025  reduce to 13360642 relations and 12522849 ideals in 8 passes
Wed May 14 15:46:17 2025  max relations containing the same ideal: 50
Wed May 14 15:46:20 2025  removing 653709 relations and 483187 ideals in 170522 cliques
Wed May 14 15:46:20 2025  commencing in-memory singleton removal
Wed May 14 15:46:20 2025  begin with 12706933 relations and 12522849 unique ideals
Wed May 14 15:46:20 2025  reduce to 12666964 relations and 11999027 ideals in 7 passes
Wed May 14 15:46:20 2025  max relations containing the same ideal: 50
Wed May 14 15:46:24 2025  relations with 0 large ideals: 42349
Wed May 14 15:46:24 2025  relations with 1 large ideals: 21449
Wed May 14 15:46:24 2025  relations with 2 large ideals: 189360
Wed May 14 15:46:24 2025  relations with 3 large ideals: 909636
Wed May 14 15:46:24 2025  relations with 4 large ideals: 2287514
Wed May 14 15:46:24 2025  relations with 5 large ideals: 3335857
Wed May 14 15:46:24 2025  relations with 6 large ideals: 3004553
Wed May 14 15:46:24 2025  relations with 7+ large ideals: 2876246
Wed May 14 15:46:24 2025  commencing 2-way merge
Wed May 14 15:46:27 2025  reduce to 9045647 relation sets and 8377710 unique ideals
Wed May 14 15:46:27 2025  commencing full merge
Wed May 14 15:48:09 2025  memory use: 1091.3 MB
Wed May 14 15:48:10 2025  found 4144610 cycles, need 4089910
Wed May 14 15:48:11 2025  weight of 4089910 cycles is about 449902332 (110.00/cycle)
Wed May 14 15:48:11 2025  distribution of cycle lengths:
Wed May 14 15:48:11 2025  1 relations: 135848
Wed May 14 15:48:11 2025  2 relations: 220017
Wed May 14 15:48:11 2025  3 relations: 291573
Wed May 14 15:48:11 2025  4 relations: 323111
Wed May 14 15:48:11 2025  5 relations: 340659
Wed May 14 15:48:11 2025  6 relations: 339862
Wed May 14 15:48:11 2025  7 relations: 329083
Wed May 14 15:48:11 2025  8 relations: 306480
Wed May 14 15:48:11 2025  9 relations: 278353
Wed May 14 15:48:11 2025  10+ relations: 1524924
Wed May 14 15:48:11 2025  heaviest cycle: 28 relations
Wed May 14 15:48:11 2025  commencing cycle optimization
Wed May 14 15:48:15 2025  start with 35236312 relations
Wed May 14 15:49:00 2025  pruned 1914099 relations
Wed May 14 15:49:00 2025  memory use: 888.1 MB
Wed May 14 15:49:00 2025  distribution of cycle lengths:
Wed May 14 15:49:00 2025  1 relations: 135848
Wed May 14 15:49:00 2025  2 relations: 225910
Wed May 14 15:49:00 2025  3 relations: 305338
Wed May 14 15:49:00 2025  4 relations: 339859
Wed May 14 15:49:00 2025  5 relations: 362633
Wed May 14 15:49:00 2025  6 relations: 361259
Wed May 14 15:49:00 2025  7 relations: 350740
Wed May 14 15:49:00 2025  8 relations: 324178
Wed May 14 15:49:00 2025  9 relations: 292878
Wed May 14 15:49:00 2025  10+ relations: 1391267
Wed May 14 15:49:00 2025  heaviest cycle: 28 relations
Wed May 14 15:49:03 2025  RelProcTime: 531
Wed May 14 15:49:03 2025  elapsed time 00:08:52
Wed May 14 15:49:06 2025
Wed May 14 15:49:06 2025
Wed May 14 15:49:06 2025  Msieve v. 1.54 (SVN unknown)
Wed May 14 15:49:06 2025  random seeds: 2fa8e85d bd25808d
Wed May 14 15:49:06 2025  MPI process 0 of 4
Wed May 14 15:49:06 2025  Using 10 OpenMP threads
Wed May 14 15:49:06 2025  factoring 292110222736705960867426552716248702034880327271787304519292347241165721009214189613059634659688521964304666262553013141133793416443997973533873289584250212951241781297232916377535196063738139227408307211550366691 (213 digits)
Wed May 14 15:49:07 2025  no P-1/P+1/ECM available, skipping
Wed May 14 15:49:07 2025  commencing number field sieve (213-digit input)
Wed May 14 15:49:07 2025  R0: 10000000000000000000000000000000000000
Wed May 14 15:49:07 2025  R1: -450283905890997363
Wed May 14 15:49:07 2025  A0: 1
Wed May 14 15:49:07 2025  A1: 0
Wed May 14 15:49:07 2025  A2: 0
Wed May 14 15:49:07 2025  A3: 1
Wed May 14 15:49:07 2025  A4: 0
Wed May 14 15:49:07 2025  A5: 0
Wed May 14 15:49:07 2025  A6: 1
Wed May 14 15:49:07 2025  skew 1.00, size 6.089e-11, alpha 1.996, combined = 2.352e-12 rroots = 0
Wed May 14 15:49:07 2025
Wed May 14 15:49:07 2025  commencing linear algebra
Wed May 14 15:49:07 2025  using VBITS=256
Wed May 14 15:49:07 2025  initialized process (0,0) of 2 x 2 grid
Wed May 14 15:49:07 2025  read 4089910 cycles
Wed May 14 15:49:11 2025  cycles contain 12374940 unique relations
Wed May 14 15:49:19 2025  read 12374940 relations
Wed May 14 15:49:20 2025  using 20 quadratic characters above 4294917295
Wed May 14 15:49:24 2025  building initial matrix
Wed May 14 15:50:44 2025  memory use: 1548.1 MB
Wed May 14 15:50:47 2025  read 4089910 cycles
Wed May 14 15:50:47 2025  matrix is 4089733 x 4089910 (1761.6 MB) with weight 504915954 (123.45/col)
Wed May 14 15:50:47 2025  sparse part has weight 416802142 (101.91/col)
Wed May 14 15:51:08 2025  filtering completed in 2 passes
Wed May 14 15:51:08 2025  matrix is 4089409 x 4089572 (1761.6 MB) with weight 504901516 (123.46/col)
Wed May 14 15:51:08 2025  sparse part has weight 416795197 (101.92/col)
Wed May 14 15:51:14 2025  matrix starts at (0, 0)
Wed May 14 15:51:14 2025  matrix is 2044825 x 2044819 (521.5 MB) with weight 158270035 (77.40/col)
Wed May 14 15:51:14 2025  sparse part has weight 114222885 (55.86/col)
Wed May 14 15:51:14 2025  saving the first 240 matrix rows for later
Wed May 14 15:51:14 2025  matrix includes 256 packed rows
Wed May 14 15:51:15 2025  matrix is 2044585 x 2044819 (453.0 MB) with weight 94261676 (46.10/col)
Wed May 14 15:51:15 2025  sparse part has weight 86026450 (42.07/col)
Wed May 14 15:51:15 2025  using GPU 0 (NVIDIA H200)
Wed May 14 15:51:15 2025  selected card has CUDA arch 9.0
Wed May 14 15:51:20 2025  commencing Lanczos iteration
Wed May 14 15:51:20 2025  memory use: 1046.4 MB
Wed May 14 15:51:23 2025  linear algebra at 0.7%, ETA 0h 6m
Wed May 14 15:51:28 2025  checking every 570000 dimensions, checkpointing every 34770000 dimensions
Wed May 14 16:00:24 2025  lanczos halted after 16023 iterations (dim = 4089168)
Wed May 14 16:00:36 2025  recovered 37 nontrivial dependencies
Wed May 14 16:00:36 2025  BLanczosTime: 689
Wed May 14 16:00:36 2025  elapsed time 00:11:30
Wed May 14 16:00:38 2025
Wed May 14 16:00:38 2025
Wed May 14 16:00:38 2025  Msieve v. 1.54 (SVN Unversioned directory)
Wed May 14 16:00:38 2025  random seeds: fc524863 05c3a6d8
Wed May 14 16:00:38 2025  MPI process 0 of 1
Wed May 14 16:00:38 2025  Using 64 OpenMP threads
Wed May 14 16:00:38 2025  factoring 292110222736705960867426552716248702034880327271787304519292347241165721009214189613059634659688521964304666262553013141133793416443997973533873289584250212951241781297232916377535196063738139227408307211550366691 (213 digits)
Wed May 14 16:00:38 2025  no P-1/P+1/ECM available, skipping
Wed May 14 16:00:38 2025  commencing number field sieve (213-digit input)
Wed May 14 16:00:38 2025  R0: 10000000000000000000000000000000000000
Wed May 14 16:00:38 2025  R1: -450283905890997363
Wed May 14 16:00:38 2025  A0: 1
Wed May 14 16:00:38 2025  A1: 0
Wed May 14 16:00:38 2025  A2: 0
Wed May 14 16:00:38 2025  A3: 1
Wed May 14 16:00:38 2025  A4: 0
Wed May 14 16:00:38 2025  A5: 0
Wed May 14 16:00:38 2025  A6: 1
Wed May 14 16:00:38 2025  skew 1.00, size 6.089e-11, alpha 1.996, combined = 2.352e-12 rroots = 0
Wed May 14 16:00:38 2025
Wed May 14 16:00:38 2025  commencing square root phase
Wed May 14 16:00:38 2025  reading relations for dependency 1
Wed May 14 16:00:38 2025  read 2045261 cycles
Wed May 14 16:00:40 2025  cycles contain 6187722 unique relations
Wed May 14 16:00:48 2025  read 6187722 relations
Wed May 14 16:01:04 2025  multiplying 6187722 relations
Wed May 14 16:01:32 2025  multiply complete, coefficients have about 150.32 million bits
Wed May 14 16:01:33 2025  initial square root is modulo 248141
Wed May 14 16:02:06 2025  GCD is N, no factor found
Wed May 14 16:02:06 2025  reading relations for dependency 2
Wed May 14 16:02:06 2025  read 2044280 cycles
Wed May 14 16:02:08 2025  cycles contain 6188604 unique relations
Wed May 14 16:02:13 2025  read 6188604 relations
Wed May 14 16:02:25 2025  multiplying 6188604 relations
Wed May 14 16:02:53 2025  multiply complete, coefficients have about 150.34 million bits
Wed May 14 16:02:54 2025  initial square root is modulo 248537
Wed May 14 16:03:28 2025  sqrtTime: 170
Wed May 14 16:03:28 2025  p60 factor: 151764945784627109324670425751092384283297478837539294879691
Wed May 14 16:03:28 2025  p154 factor: 1924754239040455660750301166870719351323491661300980128779020749739108839313181341433311791025323571251383636005905505936864285595884350097793843184157001
Wed May 14 16:03:28 2025  elapsed time 00:02:50