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- Mon May 25 14:22:01 2026
- Mon May 25 14:22:01 2026
- Mon May 25 14:22:01 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Mon May 25 14:22:01 2026 random seeds: fadb9f28 60e8ae2b
- Mon May 25 14:22:01 2026 MPI process 0 of 1
- Mon May 25 14:22:01 2026 Using 46 OpenMP threads
- Mon May 25 14:22:01 2026 factoring 15785952075610092870454445648099207575501474612221830612483571162817003802590124718789083618057216050436278826877850459771233252836055940078695654318848417326182352635801363825586349335281566211101 (197 digits)
- Mon May 25 14:22:02 2026 no P-1/P+1/ECM available, skipping
- Mon May 25 14:22:02 2026 commencing number field sieve (197-digit input)
- Mon May 25 14:22:02 2026 R0: -87583638812786450232980716169943721787
- Mon May 25 14:22:02 2026 R1: 144425358632812589686469
- Mon May 25 14:22:02 2026 A0: 6668261903076236031052946758405966980100534044
- Mon May 25 14:22:02 2026 A1: 90224641278449209719916530792594913686
- Mon May 25 14:22:02 2026 A2: -13508235861484565245970971623938
- Mon May 25 14:22:02 2026 A3: -141871386142561735381171
- Mon May 25 14:22:02 2026 A4: 4520908981466784
- Mon May 25 14:22:02 2026 A5: 9189180
- Mon May 25 14:22:02 2026 skew 1.00, size 3.482e-19, alpha -7.161, combined = 2.539e-17 rroots = 5
- Mon May 25 14:22:02 2026
- Mon May 25 14:22:02 2026 commencing relation filtering
- Mon May 25 14:22:02 2026 setting target matrix density to 70.0
- Mon May 25 14:22:02 2026 estimated available RAM is 385608.3 MB
- Mon May 25 14:22:02 2026 commencing duplicate removal, pass 1
- Mon May 25 14:29:23 2026 skipped 3 relations with composite factors
- Mon May 25 14:29:23 2026 skipped 1165 malformed relations
- Mon May 25 14:29:23 2026 found 22246990 hash collisions in 633457218 relations
- Mon May 25 14:29:45 2026 added 122108 free relations
- Mon May 25 14:29:45 2026 commencing duplicate removal, pass 2
- Mon May 25 14:32:11 2026 found 1 duplicates and 633579325 unique relations
- Mon May 25 14:32:11 2026 memory use: 2089.5 MB
- Mon May 25 14:32:11 2026 reading ideals above 720000
- Mon May 25 14:32:11 2026 commencing singleton removal, initial pass
- Mon May 25 15:03:12 2026 memory use: 11024.0 MB
- Mon May 25 15:03:13 2026 reading all ideals from disk
- Mon May 25 15:03:35 2026 memory use: 32383.9 MB
- Mon May 25 15:04:56 2026 keeping 631616605 ideals with weight <= 200, target excess is 3262115
- Mon May 25 15:06:23 2026 commencing in-memory singleton removal
- Mon May 25 15:06:29 2026 begin with 633579325 relations and 631616605 unique ideals
- Mon May 25 15:07:02 2026 reduce to 352092796 relations and 315590235 ideals in 17 passes
- Mon May 25 15:07:02 2026 max relations containing the same ideal: 143
- Mon May 25 15:09:04 2026 removing 19364832 relations and 17364832 ideals in 2000000 cliques
- Mon May 25 15:09:14 2026 commencing in-memory singleton removal
- Mon May 25 15:09:17 2026 begin with 332727964 relations and 315590235 unique ideals
- Mon May 25 15:09:30 2026 reduce to 331808025 relations and 297297424 ideals in 10 passes
- Mon May 25 15:09:30 2026 max relations containing the same ideal: 138
- Mon May 25 15:11:23 2026 removing 14322887 relations and 12322887 ideals in 2000000 cliques
- Mon May 25 15:11:32 2026 commencing in-memory singleton removal
- Mon May 25 15:11:35 2026 begin with 317485138 relations and 297297424 unique ideals
- Mon May 25 15:11:46 2026 reduce to 316936070 relations and 284421491 ideals in 9 passes
- Mon May 25 15:11:46 2026 max relations containing the same ideal: 134
- Mon May 25 15:13:26 2026 removing 12726276 relations and 10726276 ideals in 2000000 cliques
- Mon May 25 15:13:35 2026 commencing in-memory singleton removal
- Mon May 25 15:13:37 2026 begin with 304209794 relations and 284421491 unique ideals
- Mon May 25 15:13:47 2026 reduce to 303752615 relations and 273234951 ideals in 8 passes
- Mon May 25 15:13:47 2026 max relations containing the same ideal: 131
- Mon May 25 15:15:23 2026 removing 11851233 relations and 9851233 ideals in 2000000 cliques
- Mon May 25 15:15:30 2026 commencing in-memory singleton removal
- Mon May 25 15:15:33 2026 begin with 291901382 relations and 273234951 unique ideals
- Mon May 25 15:15:43 2026 reduce to 291488666 relations and 262968231 ideals in 9 passes
- Mon May 25 15:15:43 2026 max relations containing the same ideal: 127
- Mon May 25 15:17:14 2026 removing 11280400 relations and 9280400 ideals in 2000000 cliques
- Mon May 25 15:17:22 2026 commencing in-memory singleton removal
- Mon May 25 15:17:24 2026 begin with 280208266 relations and 262968231 unique ideals
- Mon May 25 15:17:34 2026 reduce to 279820150 relations and 253297106 ideals in 9 passes
- Mon May 25 15:17:34 2026 max relations containing the same ideal: 123
- Mon May 25 15:19:02 2026 removing 10869063 relations and 8869063 ideals in 2000000 cliques
- Mon May 25 15:19:09 2026 commencing in-memory singleton removal
- Mon May 25 15:19:11 2026 begin with 268951087 relations and 253297106 unique ideals
- Mon May 25 15:19:21 2026 reduce to 268576649 relations and 244051104 ideals in 10 passes
- Mon May 25 15:19:21 2026 max relations containing the same ideal: 120
- Mon May 25 15:20:46 2026 removing 10567552 relations and 8567552 ideals in 2000000 cliques
- Mon May 25 15:20:53 2026 commencing in-memory singleton removal
- Mon May 25 15:20:55 2026 begin with 258009097 relations and 244051104 unique ideals
- Mon May 25 15:21:03 2026 reduce to 257640927 relations and 235112862 ideals in 8 passes
- Mon May 25 15:21:03 2026 max relations containing the same ideal: 117
- Mon May 25 15:22:24 2026 removing 10333917 relations and 8333917 ideals in 2000000 cliques
- Mon May 25 15:22:31 2026 commencing in-memory singleton removal
- Mon May 25 15:22:33 2026 begin with 247307010 relations and 235112862 unique ideals
- Mon May 25 15:22:41 2026 reduce to 246942753 relations and 226412086 ideals in 8 passes
- Mon May 25 15:22:41 2026 max relations containing the same ideal: 115
- Mon May 25 15:23:59 2026 removing 10156626 relations and 8156626 ideals in 2000000 cliques
- Mon May 25 15:24:05 2026 commencing in-memory singleton removal
- Mon May 25 15:24:07 2026 begin with 236786127 relations and 226412086 unique ideals
- Mon May 25 15:24:14 2026 reduce to 236422496 relations and 217889118 ideals in 8 passes
- Mon May 25 15:24:14 2026 max relations containing the same ideal: 111
- Mon May 25 15:25:30 2026 removing 10021452 relations and 8021452 ideals in 2000000 cliques
- Mon May 25 15:25:36 2026 commencing in-memory singleton removal
- Mon May 25 15:25:38 2026 begin with 226401044 relations and 217889118 unique ideals
- Mon May 25 15:25:45 2026 reduce to 226032011 relations and 209495851 ideals in 9 passes
- Mon May 25 15:25:45 2026 max relations containing the same ideal: 109
- Mon May 25 15:26:56 2026 removing 9911704 relations and 7911704 ideals in 2000000 cliques
- Mon May 25 15:27:02 2026 commencing in-memory singleton removal
- Mon May 25 15:27:04 2026 begin with 216120307 relations and 209495851 unique ideals
- Mon May 25 15:27:11 2026 reduce to 215742321 relations and 201203164 ideals in 8 passes
- Mon May 25 15:27:11 2026 max relations containing the same ideal: 106
- Mon May 25 15:28:18 2026 removing 9839199 relations and 7839199 ideals in 2000000 cliques
- Mon May 25 15:28:23 2026 commencing in-memory singleton removal
- Mon May 25 15:28:25 2026 begin with 205903122 relations and 201203164 unique ideals
- Mon May 25 15:28:31 2026 reduce to 205513882 relations and 192971469 ideals in 8 passes
- Mon May 25 15:28:31 2026 max relations containing the same ideal: 101
- Mon May 25 15:29:36 2026 removing 9788304 relations and 7788304 ideals in 2000000 cliques
- Mon May 25 15:29:41 2026 commencing in-memory singleton removal
- Mon May 25 15:29:43 2026 begin with 195725578 relations and 192971469 unique ideals
- Mon May 25 15:29:49 2026 reduce to 195324664 relations and 184778763 ideals in 9 passes
- Mon May 25 15:29:49 2026 max relations containing the same ideal: 98
- Mon May 25 15:30:50 2026 removing 9754733 relations and 7754733 ideals in 2000000 cliques
- Mon May 25 15:30:55 2026 commencing in-memory singleton removal
- Mon May 25 15:30:57 2026 begin with 185569931 relations and 184778763 unique ideals
- Mon May 25 15:31:02 2026 reduce to 185151358 relations and 176601737 ideals in 8 passes
- Mon May 25 15:31:02 2026 max relations containing the same ideal: 97
- Mon May 25 15:32:01 2026 removing 9744448 relations and 7744448 ideals in 2000000 cliques
- Mon May 25 15:32:06 2026 commencing in-memory singleton removal
- Mon May 25 15:32:07 2026 begin with 175406910 relations and 176601737 unique ideals
- Mon May 25 15:32:12 2026 reduce to 174969635 relations and 168416054 ideals in 8 passes
- Mon May 25 15:32:12 2026 max relations containing the same ideal: 93
- Mon May 25 15:33:08 2026 removing 9751076 relations and 7751076 ideals in 2000000 cliques
- Mon May 25 15:33:12 2026 commencing in-memory singleton removal
- Mon May 25 15:33:14 2026 begin with 165218559 relations and 168416054 unique ideals
- Mon May 25 15:33:19 2026 reduce to 164757950 relations and 160199854 ideals in 9 passes
- Mon May 25 15:33:19 2026 max relations containing the same ideal: 90
- Mon May 25 15:34:10 2026 removing 4513153 relations and 3739111 ideals in 774042 cliques
- Mon May 25 15:34:14 2026 commencing in-memory singleton removal
- Mon May 25 15:34:16 2026 begin with 160244797 relations and 160199854 unique ideals
- Mon May 25 15:34:20 2026 reduce to 160148696 relations and 156364231 ideals in 7 passes
- Mon May 25 15:34:20 2026 max relations containing the same ideal: 89
- Mon May 25 15:35:27 2026 relations with 0 large ideals: 11347
- Mon May 25 15:35:27 2026 relations with 1 large ideals: 81227
- Mon May 25 15:35:27 2026 relations with 2 large ideals: 1081285
- Mon May 25 15:35:27 2026 relations with 3 large ideals: 6242631
- Mon May 25 15:35:27 2026 relations with 4 large ideals: 19770226
- Mon May 25 15:35:27 2026 relations with 5 large ideals: 37628439
- Mon May 25 15:35:27 2026 relations with 6 large ideals: 44460553
- Mon May 25 15:35:27 2026 relations with 7+ large ideals: 50872988
- Mon May 25 15:35:27 2026 commencing 2-way merge
- Mon May 25 15:36:45 2026 reduce to 99287514 relation sets and 95503049 unique ideals
- Mon May 25 15:36:45 2026 commencing full merge
- Mon May 25 15:51:29 2026 memory use: 10617.8 MB
- Mon May 25 15:51:39 2026 found 54758972 cycles, need 54237249
- Mon May 25 15:51:54 2026 weight of 54237249 cycles is about 3796635072 (70.00/cycle)
- Mon May 25 15:51:55 2026 distribution of cycle lengths:
- Mon May 25 15:51:55 2026 1 relations: 8542417
- Mon May 25 15:51:55 2026 2 relations: 7588930
- Mon May 25 15:51:55 2026 3 relations: 6983458
- Mon May 25 15:51:55 2026 4 relations: 6132765
- Mon May 25 15:51:55 2026 5 relations: 5416086
- Mon May 25 15:51:55 2026 6 relations: 4676596
- Mon May 25 15:51:55 2026 7 relations: 3958343
- Mon May 25 15:51:55 2026 8 relations: 3240097
- Mon May 25 15:51:55 2026 9 relations: 2567144
- Mon May 25 15:51:55 2026 10+ relations: 5131413
- Mon May 25 15:51:55 2026 heaviest cycle: 16 relations
- Mon May 25 15:52:12 2026 commencing cycle optimization
- Mon May 25 15:53:13 2026 start with 258738191 relations
- Mon May 25 15:56:58 2026 pruned 4776724 relations
- Mon May 25 15:57:02 2026 memory use: 9149.7 MB
- Mon May 25 15:57:03 2026 distribution of cycle lengths:
- Mon May 25 15:57:03 2026 1 relations: 8542417
- Mon May 25 15:57:03 2026 2 relations: 7736951
- Mon May 25 15:57:03 2026 3 relations: 7194865
- Mon May 25 15:57:03 2026 4 relations: 6235049
- Mon May 25 15:57:03 2026 5 relations: 5503670
- Mon May 25 15:57:03 2026 6 relations: 4704368
- Mon May 25 15:57:03 2026 7 relations: 3964448
- Mon May 25 15:57:03 2026 8 relations: 3208419
- Mon May 25 15:57:03 2026 9 relations: 2510820
- Mon May 25 15:57:03 2026 10+ relations: 4636242
- Mon May 25 15:57:03 2026 heaviest cycle: 16 relations
- Mon May 25 15:58:09 2026 RelProcTime: 5767
- Mon May 25 15:58:28 2026 elapsed time 01:36:27
- Mon May 25 15:58:29 2026
- Mon May 25 15:58:29 2026
- Mon May 25 15:58:29 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Mon May 25 15:58:29 2026 random seeds: f6e48fe5 9907acf8
- Mon May 25 15:58:29 2026 MPI process 0 of 1
- Mon May 25 15:58:29 2026 Using 46 OpenMP threads
- Mon May 25 15:58:29 2026 factoring 15785952075610092870454445648099207575501474612221830612483571162817003802590124718789083618057216050436278826877850459771233252836055940078695654318848417326182352635801363825586349335281566211101 (197 digits)
- Mon May 25 15:58:30 2026 no P-1/P+1/ECM available, skipping
- Mon May 25 15:58:30 2026 commencing number field sieve (197-digit input)
- Mon May 25 15:58:30 2026 R0: -87583638812786450232980716169943721787
- Mon May 25 15:58:30 2026 R1: 144425358632812589686469
- Mon May 25 15:58:30 2026 A0: 6668261903076236031052946758405966980100534044
- Mon May 25 15:58:30 2026 A1: 90224641278449209719916530792594913686
- Mon May 25 15:58:30 2026 A2: -13508235861484565245970971623938
- Mon May 25 15:58:30 2026 A3: -141871386142561735381171
- Mon May 25 15:58:30 2026 A4: 4520908981466784
- Mon May 25 15:58:30 2026 A5: 9189180
- Mon May 25 15:58:30 2026 skew 1.00, size 3.482e-19, alpha -7.161, combined = 2.539e-17 rroots = 5
- Mon May 25 15:58:30 2026
- Mon May 25 15:58:30 2026 commencing linear algebra
- Mon May 25 15:58:30 2026 using VBITS=256
- Mon May 25 15:58:30 2026 stopping after matrix build
- Mon May 25 15:58:30 2026 initialized process (0,0) of 1 x 1 grid
- Mon May 25 15:58:35 2026 read 54237249 cycles
- Mon May 25 15:59:38 2026 cycles contain 157716882 unique relations
- Mon May 25 16:00:55 2026 read 157716882 relations
- Mon May 25 16:01:07 2026 using 20 quadratic characters above 4294917295
- Mon May 25 16:01:27 2026 building initial matrix
- Mon May 25 16:23:07 2026 memory use: 22374.0 MB
- Mon May 25 16:23:33 2026 read 54237249 cycles
- Mon May 25 16:23:39 2026 matrix is 54237066 x 54237249 (16623.6 MB) with weight 5139736924 (94.76/col)
- Mon May 25 16:23:39 2026 sparse part has weight 3706932553 (68.35/col)
- Mon May 25 16:31:05 2026 filtering completed in 2 passes
- Mon May 25 16:31:13 2026 matrix is 54195815 x 54195992 (16620.8 MB) with weight 5138456245 (94.81/col)
- Mon May 25 16:31:13 2026 sparse part has weight 3706685936 (68.39/col)
- Mon May 25 16:32:43 2026 BLanczosTime: 2053
- Mon May 25 16:32:43 2026 elapsed time 00:34:14
- Mon May 25 16:35:15 2026
- Mon May 25 16:35:15 2026
- Mon May 25 16:35:15 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Mon May 25 16:35:15 2026 random seeds: ce205916 d788ec84
- Mon May 25 16:35:15 2026 MPI process 0 of 4
- Mon May 25 16:35:15 2026 Using 15 OpenMP threads
- Mon May 25 16:35:15 2026 factoring 15785952075610092870454445648099207575501474612221830612483571162817003802590124718789083618057216050436278826877850459771233252836055940078695654318848417326182352635801363825586349335281566211101 (197 digits)
- Mon May 25 16:35:16 2026 no P-1/P+1/ECM available, skipping
- Mon May 25 16:35:16 2026 commencing number field sieve (197-digit input)
- Mon May 25 16:35:16 2026 R0: -87583638812786450232980716169943721787
- Mon May 25 16:35:16 2026 R1: 144425358632812589686469
- Mon May 25 16:35:16 2026 A0: 6668261903076236031052946758405966980100534044
- Mon May 25 16:35:16 2026 A1: 90224641278449209719916530792594913686
- Mon May 25 16:35:16 2026 A2: -13508235861484565245970971623938
- Mon May 25 16:35:16 2026 A3: -141871386142561735381171
- Mon May 25 16:35:16 2026 A4: 4520908981466784
- Mon May 25 16:35:16 2026 A5: 9189180
- Mon May 25 16:35:16 2026 skew 1.00, size 3.482e-19, alpha -7.161, combined = 2.539e-17 rroots = 5
- Mon May 25 16:35:16 2026
- Mon May 25 16:35:16 2026 commencing linear algebra
- Mon May 25 16:35:16 2026 using VBITS=256
- Mon May 25 16:35:16 2026 skipping matrix build
- Mon May 25 16:35:16 2026 initialized process (0,0) of 2 x 2 grid
- Mon May 25 16:35:33 2026 matrix starts at (0, 0)
- Mon May 25 16:35:34 2026 matrix is 27098028 x 27098050 (5057.9 MB) with weight 1716609486 (63.35/col)
- Mon May 25 16:35:34 2026 sparse part has weight 1000728773 (36.93/col)
- Mon May 25 16:35:34 2026 saving the first 240 matrix rows for later
- Mon May 25 16:35:38 2026 matrix includes 256 packed rows
- Mon May 25 16:35:41 2026 matrix is 27097788 x 27098050 (4634.4 MB) with weight 853484441 (31.50/col)
- Mon May 25 16:35:41 2026 sparse part has weight 781299877 (28.83/col)
- Mon May 25 16:35:41 2026 using GPU 0 (NVIDIA H200)
- Mon May 25 16:35:41 2026 selected card has CUDA arch 9.0
- Mon May 25 16:36:41 2026 commencing Lanczos iteration
- Mon May 25 16:36:43 2026 memory use: 11129.4 MB
- Mon May 25 16:36:54 2026 linear algebra at 0.1%, ETA 5h24m
- Mon May 25 16:37:09 2026 checking every 170000 dimensions, checkpointing every 10710000 dimensions
- Mon May 25 21:40:11 2026 lanczos halted after 212336 iterations (dim = 54195575)
- Mon May 25 21:42:22 2026 recovered 30 nontrivial dependencies
- Mon May 25 21:42:22 2026 BLanczosTime: 18426
- Mon May 25 21:42:22 2026 elapsed time 05:07:07
- Mon May 25 21:42:24 2026
- Mon May 25 21:42:24 2026
- Mon May 25 21:42:24 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Mon May 25 21:42:24 2026 random seeds: 35efec41 0a1852e2
- Mon May 25 21:42:24 2026 MPI process 0 of 1
- Mon May 25 21:42:24 2026 Using 32 OpenMP threads
- Mon May 25 21:42:24 2026 factoring 15785952075610092870454445648099207575501474612221830612483571162817003802590124718789083618057216050436278826877850459771233252836055940078695654318848417326182352635801363825586349335281566211101 (197 digits)
- Mon May 25 21:42:24 2026 no P-1/P+1/ECM available, skipping
- Mon May 25 21:42:24 2026 commencing number field sieve (197-digit input)
- Mon May 25 21:42:24 2026 R0: -87583638812786450232980716169943721787
- Mon May 25 21:42:24 2026 R1: 144425358632812589686469
- Mon May 25 21:42:24 2026 A0: 6668261903076236031052946758405966980100534044
- Mon May 25 21:42:24 2026 A1: 90224641278449209719916530792594913686
- Mon May 25 21:42:24 2026 A2: -13508235861484565245970971623938
- Mon May 25 21:42:24 2026 A3: -141871386142561735381171
- Mon May 25 21:42:24 2026 A4: 4520908981466784
- Mon May 25 21:42:24 2026 A5: 9189180
- Mon May 25 21:42:24 2026 skew 1.00, size 3.482e-19, alpha -7.161, combined = 2.539e-17 rroots = 5
- Mon May 25 21:42:24 2026
- Mon May 25 21:42:24 2026 commencing square root phase
- Mon May 25 21:42:24 2026 reading relations for dependency 1
- Mon May 25 21:42:30 2026 read 27099333 cycles
- Mon May 25 21:42:59 2026 cycles contain 78858370 unique relations
- Mon May 25 21:43:57 2026 read 78858370 relations
- Mon May 25 21:49:52 2026 multiplying 78858370 relations
- Mon May 25 21:57:59 2026 multiply complete, coefficients have about 5124.92 million bits
- Mon May 25 21:58:11 2026 initial square root is modulo 558781
- Mon May 25 22:25:21 2026 GCD is 1, no factor found
- Mon May 25 22:25:21 2026 reading relations for dependency 2
- Mon May 25 22:25:26 2026 read 27097463 cycles
- Mon May 25 22:26:02 2026 cycles contain 78851924 unique relations
- Mon May 25 22:26:55 2026 read 78851924 relations
- Mon May 25 22:33:41 2026 multiplying 78851924 relations
- Mon May 25 22:41:50 2026 multiply complete, coefficients have about 5124.51 million bits
- Mon May 25 22:42:03 2026 initial square root is modulo 558251
- Mon May 25 23:09:32 2026 GCD is N, no factor found
- Mon May 25 23:09:32 2026 reading relations for dependency 3
- Mon May 25 23:09:36 2026 read 27099549 cycles
- Mon May 25 23:10:10 2026 cycles contain 78861018 unique relations
- Mon May 25 23:11:04 2026 read 78861018 relations
- Mon May 25 23:16:16 2026 multiplying 78861018 relations
- Mon May 25 23:24:25 2026 multiply complete, coefficients have about 5125.08 million bits
- Mon May 25 23:24:36 2026 initial square root is modulo 559051
- Mon May 25 23:51:42 2026 sqrtTime: 7758
- Mon May 25 23:51:42 2026 p65 factor: 12235342255914889081266027674268522259329466741772950611791582153
- Mon May 25 23:51:42 2026 p133 factor: 1290192930073430908370093661697767716687321509981001303050466918927117551570139862067991942246589250612364241332076027857522926446517
- Mon May 25 23:51:42 2026 elapsed time 02:09:18
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