Mon Aug 18 20:21:53 2025 Msieve v. 1.54 (SVN 66ed352) Mon Aug 18 20:21:53 2025 random seeds: 5d6a3a5a 616b5526 Mon Aug 18 20:21:53 2025 Using 16 OpenMP threads Mon Aug 18 20:21:53 2025 factoring 9902878873601044591729072867315774074810258730976908202063828076313900230850328336667138945007185847792656423394161060312450684615534192588945232908500595807586547 (163 digits) Mon Aug 18 20:21:53 2025 no P-1/P+1/ECM available, skipping Mon Aug 18 20:21:53 2025 commencing number field sieve (163-digit input) Mon Aug 18 20:21:53 2025 R0: 24966852350633616340999004499288 Mon Aug 18 20:21:53 2025 R1: 9679385215838180380263973 Mon Aug 18 20:21:53 2025 A0: 135432170579356062466099832670384268390 Mon Aug 18 20:21:53 2025 A1: 116700515808199822712941852413 Mon Aug 18 20:21:53 2025 A2: -36467111878595037010719578 Mon Aug 18 20:21:53 2025 A3: -16417181378252146167 Mon Aug 18 20:21:53 2025 A4: 2350201488982 Mon Aug 18 20:21:53 2025 A5: 395640 Mon Aug 18 20:21:53 2025 skew 3178662.83, size 8.719e-16, alpha -6.967, combined = 1.073e-12 rroots = 3 Mon Aug 18 20:21:53 2025 Mon Aug 18 20:21:53 2025 commencing relation filtering Mon Aug 18 20:21:53 2025 setting target matrix density to 110.0 Mon Aug 18 20:21:53 2025 estimated available RAM is 128734.6 MB Mon Aug 18 20:21:53 2025 commencing duplicate removal, pass 1 Mon Aug 18 20:23:26 2025 found 8453874 hash collisions in 196418050 relations Mon Aug 18 20:23:38 2025 added 122275 free relations Mon Aug 18 20:23:38 2025 commencing duplicate removal, pass 2 Mon Aug 18 20:24:13 2025 found 0 duplicates and 196540325 unique relations Mon Aug 18 20:24:13 2025 memory use: 554.4 MB Mon Aug 18 20:24:13 2025 reading ideals above 720000 Mon Aug 18 20:24:14 2025 commencing singleton removal, initial pass Mon Aug 18 20:29:06 2025 memory use: 3012.0 MB Mon Aug 18 20:29:06 2025 reading all ideals from disk Mon Aug 18 20:29:07 2025 memory use: 8934.4 MB Mon Aug 18 20:29:14 2025 keeping 161582174 ideals with weight <= 200, target excess is 964216 Mon Aug 18 20:29:24 2025 commencing in-memory singleton removal Mon Aug 18 20:29:27 2025 begin with 196540325 relations and 161582174 unique ideals Mon Aug 18 20:29:44 2025 reduce to 154678461 relations and 117891760 ideals in 14 passes Mon Aug 18 20:29:44 2025 max relations containing the same ideal: 182 Mon Aug 18 20:30:10 2025 removing 10675009 relations and 8675009 ideals in 2000000 cliques Mon Aug 18 20:30:12 2025 commencing in-memory singleton removal Mon Aug 18 20:30:14 2025 begin with 144003452 relations and 117891760 unique ideals Mon Aug 18 20:30:22 2025 reduce to 143463778 relations and 108668083 ideals in 8 passes Mon Aug 18 20:30:22 2025 max relations containing the same ideal: 174 Mon Aug 18 20:30:47 2025 removing 8144399 relations and 6144399 ideals in 2000000 cliques Mon Aug 18 20:30:49 2025 commencing in-memory singleton removal Mon Aug 18 20:30:51 2025 begin with 135319379 relations and 108668083 unique ideals Mon Aug 18 20:30:58 2025 reduce to 134953693 relations and 102152734 ideals in 8 passes Mon Aug 18 20:30:58 2025 max relations containing the same ideal: 165 Mon Aug 18 20:31:23 2025 removing 7398680 relations and 5398680 ideals in 2000000 cliques Mon Aug 18 20:31:26 2025 commencing in-memory singleton removal Mon Aug 18 20:31:27 2025 begin with 127555013 relations and 102152734 unique ideals Mon Aug 18 20:31:34 2025 reduce to 127235612 relations and 96429926 ideals in 7 passes Mon Aug 18 20:31:34 2025 max relations containing the same ideal: 158 Mon Aug 18 20:32:05 2025 removing 7001980 relations and 5001980 ideals in 2000000 cliques Mon Aug 18 20:32:08 2025 commencing in-memory singleton removal Mon Aug 18 20:32:10 2025 begin with 120233632 relations and 96429926 unique ideals Mon Aug 18 20:32:16 2025 reduce to 119932903 relations and 91122806 ideals in 6 passes Mon Aug 18 20:32:16 2025 max relations containing the same ideal: 152 Mon Aug 18 20:32:41 2025 removing 6757686 relations and 4757686 ideals in 2000000 cliques Mon Aug 18 20:32:43 2025 commencing in-memory singleton removal Mon Aug 18 20:32:44 2025 begin with 113175217 relations and 91122806 unique ideals Mon Aug 18 20:32:55 2025 reduce to 112885476 relations and 86070733 ideals in 6 passes Mon Aug 18 20:32:55 2025 max relations containing the same ideal: 147 Mon Aug 18 20:33:46 2025 removing 6583767 relations and 4583767 ideals in 2000000 cliques Mon Aug 18 20:33:49 2025 commencing in-memory singleton removal Mon Aug 18 20:33:51 2025 begin with 106301709 relations and 86070733 unique ideals Mon Aug 18 20:34:00 2025 reduce to 106014543 relations and 81195005 ideals in 6 passes Mon Aug 18 20:34:00 2025 max relations containing the same ideal: 141 Mon Aug 18 20:34:21 2025 removing 6461696 relations and 4461696 ideals in 2000000 cliques Mon Aug 18 20:34:23 2025 commencing in-memory singleton removal Mon Aug 18 20:34:25 2025 begin with 99552847 relations and 81195005 unique ideals Mon Aug 18 20:34:29 2025 reduce to 99262744 relations and 76438018 ideals in 6 passes Mon Aug 18 20:34:29 2025 max relations containing the same ideal: 136 Mon Aug 18 20:34:49 2025 removing 6372812 relations and 4372812 ideals in 2000000 cliques Mon Aug 18 20:34:51 2025 commencing in-memory singleton removal Mon Aug 18 20:34:52 2025 begin with 92889932 relations and 76438018 unique ideals Mon Aug 18 20:34:57 2025 reduce to 92592535 relations and 71762149 ideals in 7 passes Mon Aug 18 20:34:57 2025 max relations containing the same ideal: 127 Mon Aug 18 20:35:13 2025 removing 6309671 relations and 4309671 ideals in 2000000 cliques Mon Aug 18 20:35:15 2025 commencing in-memory singleton removal Mon Aug 18 20:35:16 2025 begin with 86282864 relations and 71762149 unique ideals Mon Aug 18 20:35:20 2025 reduce to 85973807 relations and 67137360 ideals in 7 passes Mon Aug 18 20:35:20 2025 max relations containing the same ideal: 123 Mon Aug 18 20:35:35 2025 removing 6268223 relations and 4268223 ideals in 2000000 cliques Mon Aug 18 20:35:37 2025 commencing in-memory singleton removal Mon Aug 18 20:35:38 2025 begin with 79705584 relations and 67137360 unique ideals Mon Aug 18 20:35:41 2025 reduce to 79382625 relations and 62539318 ideals in 7 passes Mon Aug 18 20:35:41 2025 max relations containing the same ideal: 115 Mon Aug 18 20:35:55 2025 removing 6244390 relations and 4244390 ideals in 2000000 cliques Mon Aug 18 20:35:57 2025 commencing in-memory singleton removal Mon Aug 18 20:35:58 2025 begin with 73138235 relations and 62539318 unique ideals Mon Aug 18 20:36:01 2025 reduce to 72792458 relations and 57941375 ideals in 6 passes Mon Aug 18 20:36:01 2025 max relations containing the same ideal: 108 Mon Aug 18 20:36:14 2025 removing 6235770 relations and 4235770 ideals in 2000000 cliques Mon Aug 18 20:36:16 2025 commencing in-memory singleton removal Mon Aug 18 20:36:16 2025 begin with 66556688 relations and 57941375 unique ideals Mon Aug 18 20:36:19 2025 reduce to 66183594 relations and 53323337 ideals in 7 passes Mon Aug 18 20:36:19 2025 max relations containing the same ideal: 102 Mon Aug 18 20:36:32 2025 removing 6253234 relations and 4253234 ideals in 2000000 cliques Mon Aug 18 20:36:33 2025 commencing in-memory singleton removal Mon Aug 18 20:36:34 2025 begin with 59930360 relations and 53323337 unique ideals Mon Aug 18 20:36:37 2025 reduce to 59520561 relations and 48649193 ideals in 7 passes Mon Aug 18 20:36:37 2025 max relations containing the same ideal: 94 Mon Aug 18 20:36:48 2025 removing 6282973 relations and 4282973 ideals in 2000000 cliques Mon Aug 18 20:36:50 2025 commencing in-memory singleton removal Mon Aug 18 20:36:51 2025 begin with 53237588 relations and 48649193 unique ideals Mon Aug 18 20:36:53 2025 reduce to 52776324 relations and 43891410 ideals in 8 passes Mon Aug 18 20:36:53 2025 max relations containing the same ideal: 87 Mon Aug 18 20:37:03 2025 removing 6340143 relations and 4340143 ideals in 2000000 cliques Mon Aug 18 20:37:05 2025 commencing in-memory singleton removal Mon Aug 18 20:37:05 2025 begin with 46436181 relations and 43891410 unique ideals Mon Aug 18 20:37:07 2025 reduce to 45902746 relations and 39000497 ideals in 7 passes Mon Aug 18 20:37:07 2025 max relations containing the same ideal: 79 Mon Aug 18 20:37:17 2025 removing 6427103 relations and 4427103 ideals in 2000000 cliques Mon Aug 18 20:37:18 2025 commencing in-memory singleton removal Mon Aug 18 20:37:18 2025 begin with 39475643 relations and 39000497 unique ideals Mon Aug 18 20:37:20 2025 reduce to 38840926 relations and 33914682 ideals in 9 passes Mon Aug 18 20:37:20 2025 max relations containing the same ideal: 71 Mon Aug 18 20:37:29 2025 removing 6549406 relations and 4549406 ideals in 2000000 cliques Mon Aug 18 20:37:30 2025 commencing in-memory singleton removal Mon Aug 18 20:37:30 2025 begin with 32291520 relations and 33914682 unique ideals Mon Aug 18 20:37:32 2025 reduce to 31493903 relations and 28532509 ideals in 9 passes Mon Aug 18 20:37:32 2025 max relations containing the same ideal: 63 Mon Aug 18 20:37:39 2025 removing 6288162 relations and 4445259 ideals in 1842903 cliques Mon Aug 18 20:37:40 2025 commencing in-memory singleton removal Mon Aug 18 20:37:40 2025 begin with 25205741 relations and 28532509 unique ideals Mon Aug 18 20:37:41 2025 reduce to 24268738 relations and 23102485 ideals in 10 passes Mon Aug 18 20:37:41 2025 max relations containing the same ideal: 53 Mon Aug 18 20:37:47 2025 removing 349355 relations and 301593 ideals in 47762 cliques Mon Aug 18 20:37:47 2025 commencing in-memory singleton removal Mon Aug 18 20:37:48 2025 begin with 23919383 relations and 23102485 unique ideals Mon Aug 18 20:37:48 2025 reduce to 23916108 relations and 22797612 ideals in 5 passes Mon Aug 18 20:37:48 2025 max relations containing the same ideal: 53 Mon Aug 18 20:37:50 2025 relations with 0 large ideals: 3525 Mon Aug 18 20:37:50 2025 relations with 1 large ideals: 34423 Mon Aug 18 20:37:50 2025 relations with 2 large ideals: 412702 Mon Aug 18 20:37:50 2025 relations with 3 large ideals: 1976472 Mon Aug 18 20:37:50 2025 relations with 4 large ideals: 4874462 Mon Aug 18 20:37:50 2025 relations with 5 large ideals: 6853475 Mon Aug 18 20:37:50 2025 relations with 6 large ideals: 5791175 Mon Aug 18 20:37:50 2025 relations with 7+ large ideals: 3969874 Mon Aug 18 20:37:50 2025 commencing 2-way merge Mon Aug 18 20:37:57 2025 reduce to 14413485 relation sets and 13294989 unique ideals Mon Aug 18 20:37:57 2025 commencing full merge Mon Aug 18 20:40:22 2025 memory use: 1660.7 MB Mon Aug 18 20:40:23 2025 found 6670708 cycles, need 6551189 Mon Aug 18 20:40:24 2025 weight of 6551189 cycles is about 720751934 (110.02/cycle) Mon Aug 18 20:40:24 2025 distribution of cycle lengths: Mon Aug 18 20:40:24 2025 1 relations: 402669 Mon Aug 18 20:40:24 2025 2 relations: 464445 Mon Aug 18 20:40:24 2025 3 relations: 496693 Mon Aug 18 20:40:24 2025 4 relations: 495746 Mon Aug 18 20:40:24 2025 5 relations: 506954 Mon Aug 18 20:40:24 2025 6 relations: 500380 Mon Aug 18 20:40:24 2025 7 relations: 488031 Mon Aug 18 20:40:24 2025 8 relations: 460743 Mon Aug 18 20:40:24 2025 9 relations: 428974 Mon Aug 18 20:40:24 2025 10+ relations: 2306554 Mon Aug 18 20:40:24 2025 heaviest cycle: 26 relations Mon Aug 18 20:40:25 2025 commencing cycle optimization Mon Aug 18 20:40:32 2025 start with 53012403 relations Mon Aug 18 20:41:28 2025 pruned 2083230 relations Mon Aug 18 20:41:28 2025 memory use: 1512.8 MB Mon Aug 18 20:41:28 2025 distribution of cycle lengths: Mon Aug 18 20:41:28 2025 1 relations: 402669 Mon Aug 18 20:41:28 2025 2 relations: 475849 Mon Aug 18 20:41:28 2025 3 relations: 516139 Mon Aug 18 20:41:28 2025 4 relations: 514997 Mon Aug 18 20:41:28 2025 5 relations: 529209 Mon Aug 18 20:41:28 2025 6 relations: 522575 Mon Aug 18 20:41:28 2025 7 relations: 511106 Mon Aug 18 20:41:28 2025 8 relations: 480109 Mon Aug 18 20:41:28 2025 9 relations: 445267 Mon Aug 18 20:41:28 2025 10+ relations: 2153269 Mon Aug 18 20:41:28 2025 heaviest cycle: 25 relations Mon Aug 18 20:41:35 2025 RelProcTime: 1182 Mon Aug 18 20:41:35 2025 elapsed time 00:19:42 Mon Aug 18 20:41:46 2025 Mon Aug 18 20:41:46 2025 Mon Aug 18 20:41:46 2025 Msieve v. 1.54 (SVN 66ed352) Mon Aug 18 20:41:46 2025 random seeds: f6c40a36 cfe480dc Mon Aug 18 20:41:46 2025 MPI process 0 of 2 Mon Aug 18 20:41:46 2025 Using 8 OpenMP threads Mon Aug 18 20:41:46 2025 factoring 9902878873601044591729072867315774074810258730976908202063828076313900230850328336667138945007185847792656423394161060312450684615534192588945232908500595807586547 (163 digits) Mon Aug 18 20:41:47 2025 no P-1/P+1/ECM available, skipping Mon Aug 18 20:41:47 2025 commencing number field sieve (163-digit input) Mon Aug 18 20:41:47 2025 R0: 24966852350633616340999004499288 Mon Aug 18 20:41:47 2025 R1: 9679385215838180380263973 Mon Aug 18 20:41:47 2025 A0: 135432170579356062466099832670384268390 Mon Aug 18 20:41:47 2025 A1: 116700515808199822712941852413 Mon Aug 18 20:41:47 2025 A2: -36467111878595037010719578 Mon Aug 18 20:41:47 2025 A3: -16417181378252146167 Mon Aug 18 20:41:47 2025 A4: 2350201488982 Mon Aug 18 20:41:47 2025 A5: 395640 Mon Aug 18 20:41:47 2025 skew 3178662.83, size 8.719e-16, alpha -6.967, combined = 1.073e-12 rroots = 3 Mon Aug 18 20:41:47 2025 Mon Aug 18 20:41:47 2025 commencing linear algebra Mon Aug 18 20:41:47 2025 using VBITS=256 Mon Aug 18 20:41:47 2025 stopping after matrix build Mon Aug 18 20:41:47 2025 initialized process (0,0) of 1 x 2 grid Mon Aug 18 20:41:47 2025 read 6551189 cycles Mon Aug 18 20:41:55 2025 cycles contain 23218479 unique relations Mon Aug 18 20:42:17 2025 read 23218479 relations Mon Aug 18 20:42:21 2025 using 20 quadratic characters above 4294917295 Mon Aug 18 20:42:27 2025 building initial matrix Mon Aug 18 20:45:02 2025 memory use: 3120.1 MB Mon Aug 18 20:45:05 2025 read 6551189 cycles Mon Aug 18 20:45:06 2025 matrix is 6551009 x 6551189 (2880.6 MB) with weight 883681305 (134.89/col) Mon Aug 18 20:45:06 2025 sparse part has weight 676529225 (103.27/col) Mon Aug 18 20:45:40 2025 filtering completed in 2 passes Mon Aug 18 20:45:40 2025 matrix is 6549825 x 6550005 (2880.5 MB) with weight 883612804 (134.90/col) Mon Aug 18 20:45:40 2025 sparse part has weight 676500272 (103.28/col) Mon Aug 18 20:45:51 2025 BLanczosTime: 244 Mon Aug 18 20:45:51 2025 elapsed time 00:04:05 Mon Aug 18 21:29:16 2025 Mon Aug 18 21:29:16 2025 Mon Aug 18 21:29:16 2025 Msieve v. 1.54 (SVN 66ed352) Mon Aug 18 21:29:16 2025 random seeds: f90eab32 a1a71eaa Mon Aug 18 21:29:16 2025 MPI process 0 of 2 Mon Aug 18 21:29:16 2025 Using 8 OpenMP threads Mon Aug 18 21:29:16 2025 factoring 9902878873601044591729072867315774074810258730976908202063828076313900230850328336667138945007185847792656423394161060312450684615534192588945232908500595807586547 (163 digits) Mon Aug 18 21:29:16 2025 no P-1/P+1/ECM available, skipping Mon Aug 18 21:29:16 2025 commencing number field sieve (163-digit input) Mon Aug 18 21:29:16 2025 R0: 24966852350633616340999004499288 Mon Aug 18 21:29:16 2025 R1: 9679385215838180380263973 Mon Aug 18 21:29:16 2025 A0: 135432170579356062466099832670384268390 Mon Aug 18 21:29:16 2025 A1: 116700515808199822712941852413 Mon Aug 18 21:29:16 2025 A2: -36467111878595037010719578 Mon Aug 18 21:29:16 2025 A3: -16417181378252146167 Mon Aug 18 21:29:16 2025 A4: 2350201488982 Mon Aug 18 21:29:16 2025 A5: 395640 Mon Aug 18 21:29:16 2025 skew 3178662.83, size 8.719e-16, alpha -6.967, combined = 1.073e-12 rroots = 3 Mon Aug 18 21:29:16 2025 Mon Aug 18 21:29:16 2025 commencing linear algebra Mon Aug 18 21:29:16 2025 using VBITS=256 Mon Aug 18 21:29:16 2025 skipping matrix build Mon Aug 18 21:29:16 2025 initialized process (0,0) of 1 x 2 grid Mon Aug 18 21:29:18 2025 matrix starts at (0, 0) Mon Aug 18 21:29:19 2025 matrix is 6549825 x 3274986 (1440.2 MB) with weight 441797364 (134.90/col) Mon Aug 18 21:29:19 2025 sparse part has weight 338250308 (103.28/col) Mon Aug 18 21:29:19 2025 saving the first 240 matrix rows for later Mon Aug 18 21:29:19 2025 matrix includes 256 packed rows Mon Aug 18 21:29:20 2025 matrix is 6549585 x 3274986 (1302.3 MB) with weight 308817063 (94.30/col) Mon Aug 18 21:29:20 2025 sparse part has weight 288983818 (88.24/col) Mon Aug 18 21:29:20 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Mon Aug 18 21:29:20 2025 selected card has CUDA arch 8.6 Mon Aug 18 21:29:37 2025 commencing Lanczos iteration Mon Aug 18 21:29:37 2025 memory use: 3341.6 MB Mon Aug 18 21:29:47 2025 linear algebra at 0.5%, ETA 0h31m Mon Aug 18 21:30:02 2025 checking every 190000 dimensions, checkpointing every 11590000 dimensions Mon Aug 18 22:05:11 2025 lanczos halted after 25663 iterations (dim = 6549584) Mon Aug 18 22:05:36 2025 recovered 30 nontrivial dependencies Mon Aug 18 22:05:36 2025 BLanczosTime: 2180 Mon Aug 18 22:05:36 2025 elapsed time 00:36:20 Mon Aug 18 22:05:42 2025 Mon Aug 18 22:05:42 2025 Mon Aug 18 22:05:42 2025 Msieve v. 1.54 (SVN 66ed352) Mon Aug 18 22:05:42 2025 random seeds: 122d1dd8 92f092dd Mon Aug 18 22:05:42 2025 Using 16 OpenMP threads Mon Aug 18 22:05:42 2025 factoring 9902878873601044591729072867315774074810258730976908202063828076313900230850328336667138945007185847792656423394161060312450684615534192588945232908500595807586547 (163 digits) Mon Aug 18 22:05:43 2025 no P-1/P+1/ECM available, skipping Mon Aug 18 22:05:43 2025 commencing number field sieve (163-digit input) Mon Aug 18 22:05:43 2025 R0: 24966852350633616340999004499288 Mon Aug 18 22:05:43 2025 R1: 9679385215838180380263973 Mon Aug 18 22:05:43 2025 A0: 135432170579356062466099832670384268390 Mon Aug 18 22:05:43 2025 A1: 116700515808199822712941852413 Mon Aug 18 22:05:43 2025 A2: -36467111878595037010719578 Mon Aug 18 22:05:43 2025 A3: -16417181378252146167 Mon Aug 18 22:05:43 2025 A4: 2350201488982 Mon Aug 18 22:05:43 2025 A5: 395640 Mon Aug 18 22:05:43 2025 skew 3178662.83, size 8.719e-16, alpha -6.967, combined = 1.073e-12 rroots = 3 Mon Aug 18 22:05:43 2025 Mon Aug 18 22:05:43 2025 commencing square root phase Mon Aug 18 22:05:43 2025 reading relations for dependency 1 Mon Aug 18 22:05:43 2025 read 3274055 cycles Mon Aug 18 22:05:49 2025 cycles contain 11609872 unique relations Mon Aug 18 22:06:16 2025 read 11609872 relations Mon Aug 18 22:06:55 2025 multiplying 11609872 relations Mon Aug 18 22:07:55 2025 multiply complete, coefficients have about 632.91 million bits Mon Aug 18 22:07:56 2025 initial square root is modulo 476701 Mon Aug 18 22:10:34 2025 sqrtTime: 291 Mon Aug 18 22:10:34 2025 p72 factor: 592566743000175281370191025889101317222165092968894335643822396654220367 Mon Aug 18 22:10:34 2025 p92 factor: 16711837089375964722383412331048839552583700300649210645516405837263272768458670075408704541 Mon Aug 18 22:10:34 2025 elapsed time 00:04:52