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- Thu May 14 15:43:23 2026
- Thu May 14 15:43:23 2026
- Thu May 14 15:43:23 2026 Msieve v. 1.54 (SVN unknown)
- Thu May 14 15:43:23 2026 random seeds: 0c7235ea be80a34a
- Thu May 14 15:43:23 2026 Using 14 OpenMP threads
- Thu May 14 15:43:23 2026 factoring 855371720505851403184744765057626512422186268833412926647444117498623979221367215263161087069642860664898007846228956383831636254205330411334109019456679623841722330964936863080773324149623556018549375761359883210119015825054007849749080199 (240 digits)
- Thu May 14 15:43:23 2026 no P-1/P+1/ECM available, skipping
- Thu May 14 15:43:23 2026 commencing number field sieve (240-digit input)
- Thu May 14 15:43:23 2026 R0: 141926026370668085609056630575488383791043
- Thu May 14 15:43:23 2026 R1: -1
- Thu May 14 15:43:23 2026 A0: 1
- Thu May 14 15:43:23 2026 A1: 1
- Thu May 14 15:43:23 2026 A2: 1
- Thu May 14 15:43:23 2026 A3: 1
- Thu May 14 15:43:23 2026 A4: 1
- Thu May 14 15:43:23 2026 A5: 1
- Thu May 14 15:43:23 2026 A6: 1
- Thu May 14 15:43:23 2026 skew 1.36, size 3.398e-12, alpha 2.428, combined = 2.896e-13 rroots = 0
- Thu May 14 15:43:23 2026
- Thu May 14 15:43:23 2026 commencing relation filtering
- Thu May 14 15:43:23 2026 setting 3 target densities:Thu May 14 15:43:23 2026 80Thu May 14 15:43:23 2026 100Thu May 14 15:43:23 2026 120Thu May 14 15:43:23 2026
- Thu May 14 15:43:23 2026 estimated available RAM is 78540.1 MB
- Thu May 14 15:43:23 2026 commencing duplicate removal, pass 1
- Thu May 14 15:43:51 2026 error -1 reading relation 43504767
- Thu May 14 15:43:52 2026 error -1 reading relation 45490882
- Thu May 14 15:44:02 2026 error -1 reading relation 61504902
- Thu May 14 15:44:05 2026 error -1 reading relation 65868173
- Thu May 14 15:44:06 2026 error -1 reading relation 69194188
- Thu May 14 15:44:27 2026 error -1 reading relation 99973896
- Thu May 14 15:44:30 2026 error -1 reading relation 103619158
- Thu May 14 15:45:21 2026 error -1 reading relation 181850627
- Thu May 14 15:45:27 2026 error -1 reading relation 188964515
- Thu May 14 15:45:31 2026 error -1 reading relation 195700438
- Thu May 14 15:45:40 2026 error -1 reading relation 209878967
- Thu May 14 15:45:40 2026 error -1 reading relation 210011885
- Thu May 14 15:45:44 2026 error -1 reading relation 216465121
- Thu May 14 15:45:48 2026 error -1 reading relation 220983718
- Thu May 14 15:46:05 2026 skipped 10 relations with b > 2^32
- Thu May 14 15:46:05 2026 skipped 4 relations with composite factors
- Thu May 14 15:46:05 2026 skipped 208 malformed relations
- Thu May 14 15:46:05 2026 found 74438361 hash collisions in 246918019 relations
- Thu May 14 15:46:08 2026 added 2438534 free relations
- Thu May 14 15:46:08 2026 commencing duplicate removal, pass 2
- Thu May 14 15:47:31 2026 found 97937259 duplicates and 151419294 unique relations
- Thu May 14 15:47:31 2026 memory use: 1449.5 MB
- Thu May 14 15:47:31 2026 reading ideals above 720000
- Thu May 14 15:47:31 2026 commencing singleton removal, initial pass
- Thu May 14 15:51:50 2026 memory use: 3012.0 MB
- Thu May 14 15:51:50 2026 reading all ideals from disk
- Thu May 14 15:51:53 2026 memory use: 7045.4 MB
- Thu May 14 15:52:00 2026 keeping 159614233 ideals with weight <= 200, target excess is 780849
- Thu May 14 15:52:09 2026 commencing in-memory singleton removal
- Thu May 14 15:52:10 2026 begin with 151419294 relations and 159614233 unique ideals
- Thu May 14 15:52:22 2026 reduce to 71236028 relations and 68019295 ideals in 20 passes
- Thu May 14 15:52:22 2026 max relations containing the same ideal: 128
- Thu May 14 15:52:38 2026 removing 4534034 relations and 4134034 ideals in 400000 cliques
- Thu May 14 15:52:39 2026 commencing in-memory singleton removal
- Thu May 14 15:52:39 2026 begin with 66701994 relations and 68019295 unique ideals
- Thu May 14 15:52:43 2026 reduce to 66430357 relations and 63611268 ideals in 10 passes
- Thu May 14 15:52:43 2026 max relations containing the same ideal: 124
- Thu May 14 15:52:58 2026 removing 3355562 relations and 2955562 ideals in 400000 cliques
- Thu May 14 15:52:59 2026 commencing in-memory singleton removal
- Thu May 14 15:53:00 2026 begin with 63074795 relations and 63611268 unique ideals
- Thu May 14 15:53:03 2026 reduce to 62908937 relations and 60488620 ideals in 10 passes
- Thu May 14 15:53:03 2026 max relations containing the same ideal: 121
- Thu May 14 15:53:16 2026 removing 2988781 relations and 2588781 ideals in 400000 cliques
- Thu May 14 15:53:17 2026 commencing in-memory singleton removal
- Thu May 14 15:53:18 2026 begin with 59920156 relations and 60488620 unique ideals
- Thu May 14 15:53:21 2026 reduce to 59780081 relations and 57758745 ideals in 10 passes
- Thu May 14 15:53:21 2026 max relations containing the same ideal: 116
- Thu May 14 15:53:35 2026 removing 2796955 relations and 2396955 ideals in 400000 cliques
- Thu May 14 15:53:36 2026 commencing in-memory singleton removal
- Thu May 14 15:53:36 2026 begin with 56983126 relations and 57758745 unique ideals
- Thu May 14 15:53:39 2026 reduce to 56851499 relations and 55229254 ideals in 9 passes
- Thu May 14 15:53:39 2026 max relations containing the same ideal: 109
- Thu May 14 15:53:51 2026 removing 2676714 relations and 2276714 ideals in 400000 cliques
- Thu May 14 15:53:52 2026 commencing in-memory singleton removal
- Thu May 14 15:53:52 2026 begin with 54174785 relations and 55229254 unique ideals
- Thu May 14 15:53:55 2026 reduce to 54048107 relations and 52824950 ideals in 11 passes
- Thu May 14 15:53:55 2026 max relations containing the same ideal: 104
- Thu May 14 15:54:08 2026 removing 2142575 relations and 1825203 ideals in 317372 cliques
- Thu May 14 15:54:09 2026 commencing in-memory singleton removal
- Thu May 14 15:54:09 2026 begin with 51905532 relations and 52824950 unique ideals
- Thu May 14 15:54:11 2026 reduce to 51823012 relations and 50916707 ideals in 9 passes
- Thu May 14 15:54:11 2026 max relations containing the same ideal: 100
- Thu May 14 15:54:23 2026 trying target density 80
- Thu May 14 15:54:27 2026 relations with 0 large ideals: 59065
- Thu May 14 15:54:27 2026 relations with 1 large ideals: 16427
- Thu May 14 15:54:27 2026 relations with 2 large ideals: 213812
- Thu May 14 15:54:27 2026 relations with 3 large ideals: 1374500
- Thu May 14 15:54:27 2026 relations with 4 large ideals: 4901176
- Thu May 14 15:54:27 2026 relations with 5 large ideals: 10509198
- Thu May 14 15:54:27 2026 relations with 6 large ideals: 13935210
- Thu May 14 15:54:27 2026 relations with 7+ large ideals: 20813624
- Thu May 14 15:54:27 2026 commencing 2-way merge
- Thu May 14 15:54:48 2026 reduce to 31428304 relation sets and 30522000 unique ideals
- Thu May 14 15:54:48 2026 ignored 1 oversize relation sets
- Thu May 14 15:54:48 2026 commencing full merge
- Thu May 14 16:00:16 2026 memory use: 3649.0 MB
- Thu May 14 16:00:18 2026 found 15556670 cycles, need 15452200
- Thu May 14 16:00:21 2026 weight of 15452200 cycles is about 1236391146 (80.01/cycle)
- Thu May 14 16:00:21 2026 distribution of cycle lengths:
- Thu May 14 16:00:21 2026 1 relations: 2042876
- Thu May 14 16:00:21 2026 2 relations: 1785515
- Thu May 14 16:00:21 2026 3 relations: 1658080
- Thu May 14 16:00:21 2026 4 relations: 1474792
- Thu May 14 16:00:21 2026 5 relations: 1321372
- Thu May 14 16:00:21 2026 6 relations: 1129574
- Thu May 14 16:00:21 2026 7 relations: 1002772
- Thu May 14 16:00:21 2026 8 relations: 868933
- Thu May 14 16:00:21 2026 9 relations: 745958
- Thu May 14 16:00:21 2026 10+ relations: 3422328
- Thu May 14 16:00:21 2026 heaviest cycle: 26 relations
- Thu May 14 16:00:23 2026 commencing cycle optimization
- Thu May 14 16:00:42 2026 start with 96360347 relations
- Thu May 14 16:02:19 2026 pruned 2174624 relations
- Thu May 14 16:02:20 2026 memory use: 3089.7 MB
- Thu May 14 16:02:20 2026 distribution of cycle lengths:
- Thu May 14 16:02:20 2026 1 relations: 2042876
- Thu May 14 16:02:20 2026 2 relations: 1818299
- Thu May 14 16:02:20 2026 3 relations: 1708692
- Thu May 14 16:02:20 2026 4 relations: 1506052
- Thu May 14 16:02:20 2026 5 relations: 1349485
- Thu May 14 16:02:20 2026 6 relations: 1146010
- Thu May 14 16:02:20 2026 7 relations: 1012618
- Thu May 14 16:02:20 2026 8 relations: 870894
- Thu May 14 16:02:20 2026 9 relations: 743935
- Thu May 14 16:02:20 2026 10+ relations: 3253339
- Thu May 14 16:02:20 2026 heaviest cycle: 26 relations
- Thu May 14 16:02:37 2026 trying target density 100
- Thu May 14 16:02:41 2026 relations with 0 large ideals: 59065
- Thu May 14 16:02:41 2026 relations with 1 large ideals: 16427
- Thu May 14 16:02:41 2026 relations with 2 large ideals: 213812
- Thu May 14 16:02:41 2026 relations with 3 large ideals: 1374500
- Thu May 14 16:02:41 2026 relations with 4 large ideals: 4901176
- Thu May 14 16:02:41 2026 relations with 5 large ideals: 10509198
- Thu May 14 16:02:41 2026 relations with 6 large ideals: 13935210
- Thu May 14 16:02:41 2026 relations with 7+ large ideals: 20813624
- Thu May 14 16:02:41 2026 commencing 2-way merge
- Thu May 14 16:03:02 2026 reduce to 31428304 relation sets and 30522000 unique ideals
- Thu May 14 16:03:02 2026 ignored 1 oversize relation sets
- Thu May 14 16:03:02 2026 commencing full merge
- Thu May 14 16:10:23 2026 memory use: 3711.5 MB
- Thu May 14 16:10:25 2026 found 14154115 cycles, need 14152200
- Thu May 14 16:10:28 2026 weight of 14152200 cycles is about 1415543075 (100.02/cycle)
- Thu May 14 16:10:28 2026 distribution of cycle lengths:
- Thu May 14 16:10:28 2026 1 relations: 1515049
- Thu May 14 16:10:28 2026 2 relations: 1316566
- Thu May 14 16:10:28 2026 3 relations: 1251602
- Thu May 14 16:10:28 2026 4 relations: 1135321
- Thu May 14 16:10:28 2026 5 relations: 1057118
- Thu May 14 16:10:28 2026 6 relations: 959051
- Thu May 14 16:10:28 2026 7 relations: 868737
- Thu May 14 16:10:28 2026 8 relations: 768535
- Thu May 14 16:10:28 2026 9 relations: 691717
- Thu May 14 16:10:28 2026 10+ relations: 4588504
- Thu May 14 16:10:28 2026 heaviest cycle: 28 relations
- Thu May 14 16:10:29 2026 commencing cycle optimization
- Thu May 14 16:10:51 2026 start with 110758290 relations
- Thu May 14 16:13:20 2026 pruned 3304065 relations
- Thu May 14 16:13:20 2026 memory use: 3238.5 MB
- Thu May 14 16:13:20 2026 distribution of cycle lengths:
- Thu May 14 16:13:20 2026 1 relations: 1515049
- Thu May 14 16:13:20 2026 2 relations: 1343052
- Thu May 14 16:13:20 2026 3 relations: 1294206
- Thu May 14 16:13:20 2026 4 relations: 1167192
- Thu May 14 16:13:20 2026 5 relations: 1089226
- Thu May 14 16:13:20 2026 6 relations: 981946
- Thu May 14 16:13:20 2026 7 relations: 887720
- Thu May 14 16:13:20 2026 8 relations: 781312
- Thu May 14 16:13:20 2026 9 relations: 701553
- Thu May 14 16:13:20 2026 10+ relations: 4390944
- Thu May 14 16:13:20 2026 heaviest cycle: 28 relations
- Thu May 14 16:13:38 2026 trying target density 120
- Thu May 14 16:13:41 2026 relations with 0 large ideals: 59065
- Thu May 14 16:13:41 2026 relations with 1 large ideals: 16427
- Thu May 14 16:13:41 2026 relations with 2 large ideals: 213812
- Thu May 14 16:13:41 2026 relations with 3 large ideals: 1374500
- Thu May 14 16:13:41 2026 relations with 4 large ideals: 4901176
- Thu May 14 16:13:41 2026 relations with 5 large ideals: 10509198
- Thu May 14 16:13:41 2026 relations with 6 large ideals: 13935210
- Thu May 14 16:13:41 2026 relations with 7+ large ideals: 20813624
- Thu May 14 16:13:41 2026 commencing 2-way merge
- Thu May 14 16:14:00 2026 reduce to 31428304 relation sets and 30522000 unique ideals
- Thu May 14 16:14:00 2026 ignored 1 oversize relation sets
- Thu May 14 16:14:00 2026 commencing full merge
- Thu May 14 16:28:19 2026 memory use: 1445.6 MB
- Thu May 14 16:28:19 2026 found 817919 cycles, need 6729049
- Thu May 14 16:28:19 2026 too few cycles, matrix probably cannot build
- Thu May 14 16:28:20 2026 RelProcTime: 2697
- Thu May 14 16:28:20 2026
- Thu May 14 16:28:20 2026 commencing linear algebra
- Thu May 14 16:28:20 2026 using VBITS=256
- Thu May 14 16:28:20 2026 building matrices for all densities
- Thu May 14 16:28:20 2026 found 2 density files
- Thu May 14 16:28:20 2026 building matrix for density 80
- Thu May 14 16:28:21 2026 read 15452200 cycles
- Thu May 14 16:28:36 2026 cycles contain 50985880 unique relations
- Thu May 14 16:28:57 2026 read 50985880 relations
- Thu May 14 16:29:05 2026 using 20 quadratic characters above 4294917295
- Thu May 14 16:29:16 2026 building initial matrix
- Thu May 14 16:33:44 2026 memory use: 6122.9 MB
- Thu May 14 16:33:49 2026 read 15452200 cycles
- Thu May 14 16:33:50 2026 matrix is 15452020 x 15452200 (5211.2 MB) with weight 1488211743 (96.31/col)
- Thu May 14 16:33:50 2026 sparse part has weight 1196107824 (77.41/col)
- Thu May 14 16:35:18 2026 filtering completed in 2 passes
- Thu May 14 16:35:19 2026 matrix is 15435855 x 15436021 (5210.0 MB) with weight 1487770801 (96.38/col)
- Thu May 14 16:35:19 2026 sparse part has weight 1195974092 (77.48/col)
- Thu May 14 16:35:39 2026 building matrix for density 100
- Thu May 14 16:35:40 2026 read 14152200 cycles
- Thu May 14 16:35:55 2026 cycles contain 50992013 unique relations
- Thu May 14 16:36:15 2026 read 50992013 relations
- Thu May 14 16:36:22 2026 using 20 quadratic characters above 4294917295
- Thu May 14 16:36:32 2026 building initial matrix
- Thu May 14 16:41:37 2026 memory use: 6134.6 MB
- Thu May 14 16:41:42 2026 read 14152200 cycles
- Thu May 14 16:41:43 2026 matrix is 14152023 x 14152200 (5741.3 MB) with weight 1631404715 (115.28/col)
- Thu May 14 16:41:43 2026 sparse part has weight 1349379798 (95.35/col)
- Thu May 14 16:42:59 2026 filtering completed in 2 passes
- Thu May 14 16:43:01 2026 matrix is 14150938 x 14151102 (5741.2 MB) with weight 1631370962 (115.28/col)
- Thu May 14 16:43:01 2026 sparse part has weight 1349370144 (95.35/col)
- Thu May 14 16:43:17 2026 BLanczosTime: 897
- Thu May 14 16:43:17 2026 elapsed time 00:59:54
- Thu May 14 23:52:38 2026
- Thu May 14 23:52:38 2026
- Thu May 14 23:52:38 2026 Msieve v. 1.54 (SVN unknown)
- Thu May 14 23:52:38 2026 random seeds: dcafb44f dc6d799b
- Thu May 14 23:52:38 2026 factoring 855371720505851403184744765057626512422186268833412926647444117498623979221367215263161087069642860664898007846228956383831636254205330411334109019456679623841722330964936863080773324149623556018549375761359883210119015825054007849749080199 (240 digits)
- Thu May 14 23:52:38 2026 no P-1/P+1/ECM available, skipping
- Thu May 14 23:52:38 2026 commencing number field sieve (240-digit input)
- Thu May 14 23:52:38 2026 R0: 141926026370668085609056630575488383791043
- Thu May 14 23:52:38 2026 R1: -1
- Thu May 14 23:52:38 2026 A0: 1
- Thu May 14 23:52:38 2026 A1: 1
- Thu May 14 23:52:38 2026 A2: 1
- Thu May 14 23:52:38 2026 A3: 1
- Thu May 14 23:52:38 2026 A4: 1
- Thu May 14 23:52:38 2026 A5: 1
- Thu May 14 23:52:38 2026 A6: 1
- Thu May 14 23:52:38 2026 skew 1.36, size 3.398e-12, alpha 2.428, combined = 2.896e-13 rroots = 0
- Thu May 14 23:52:38 2026
- Thu May 14 23:52:38 2026 commencing linear algebra
- Thu May 14 23:52:38 2026 using VBITS=64
- Thu May 14 23:52:38 2026 skipping matrix build
- Thu May 14 23:52:43 2026 matrix starts at (0, 0)
- Thu May 14 23:52:44 2026 matrix is 14150938 x 14151102 (5741.2 MB) with weight 1631370962 (115.28/col)
- Thu May 14 23:52:44 2026 sparse part has weight 1349370144 (95.35/col)
- Thu May 14 23:52:44 2026 saving the first 48 matrix rows for later
- Thu May 14 23:52:45 2026 matrix includes 64 packed rows
- Thu May 14 23:52:47 2026 matrix is 14150890 x 14151102 (5493.4 MB) with weight 1388250138 (98.10/col)
- Thu May 14 23:52:47 2026 sparse part has weight 1298546025 (91.76/col)
- Thu May 14 23:52:48 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
- Thu May 14 23:52:48 2026 selected card has CUDA arch 12.0
- Thu May 14 23:54:32 2026 commencing Lanczos iteration
- Thu May 14 23:54:33 2026 memory use: 10878.8 MB
- Thu May 14 23:54:46 2026 checking every 80000 dimensions, checkpointing every 5360000 dimensions
- Thu May 14 23:54:54 2026 linear algebra at 0.2%, ETA 2h42m
- Fri May 15 02:40:48 2026 lanczos halted after 223777 iterations (dim = 14150890)
- Fri May 15 02:40:54 2026 recovered 38 nontrivial dependencies
- Fri May 15 02:40:54 2026 BLanczosTime: 10096
- Fri May 15 02:40:54 2026 elapsed time 02:48:16
- Fri May 15 05:46:50 2026
- Fri May 15 05:46:50 2026
- Fri May 15 05:46:50 2026 Msieve v. 1.54 (SVN unknown)
- Fri May 15 05:46:50 2026 random seeds: db4a0ba3 a244c853
- Fri May 15 05:46:50 2026 Using 14 OpenMP threads
- Fri May 15 05:46:50 2026 factoring 855371720505851403184744765057626512422186268833412926647444117498623979221367215263161087069642860664898007846228956383831636254205330411334109019456679623841722330964936863080773324149623556018549375761359883210119015825054007849749080199 (240 digits)
- Fri May 15 05:46:50 2026 no P-1/P+1/ECM available, skipping
- Fri May 15 05:46:50 2026 commencing number field sieve (240-digit input)
- Fri May 15 05:46:50 2026 R0: 141926026370668085609056630575488383791043
- Fri May 15 05:46:50 2026 R1: -1
- Fri May 15 05:46:50 2026 A0: 1
- Fri May 15 05:46:50 2026 A1: 1
- Fri May 15 05:46:50 2026 A2: 1
- Fri May 15 05:46:50 2026 A3: 1
- Fri May 15 05:46:50 2026 A4: 1
- Fri May 15 05:46:50 2026 A5: 1
- Fri May 15 05:46:50 2026 A6: 1
- Fri May 15 05:46:50 2026 skew 1.36, size 3.398e-12, alpha 2.428, combined = 2.896e-13 rroots = 0
- Fri May 15 05:46:50 2026
- Fri May 15 05:46:50 2026 commencing square root phase
- Fri May 15 05:46:50 2026 reading relations for dependency 1
- Fri May 15 05:48:32 2026
- Fri May 15 05:48:32 2026
- Fri May 15 05:48:32 2026 Msieve v. 1.54 (SVN unknown)
- Fri May 15 05:48:32 2026 random seeds: 9bf548e9 ec69f087
- Fri May 15 05:48:32 2026 Using 14 OpenMP threads
- Fri May 15 05:48:32 2026 factoring 855371720505851403184744765057626512422186268833412926647444117498623979221367215263161087069642860664898007846228956383831636254205330411334109019456679623841722330964936863080773324149623556018549375761359883210119015825054007849749080199 (240 digits)
- Fri May 15 05:48:32 2026 no P-1/P+1/ECM available, skipping
- Fri May 15 05:48:32 2026 commencing number field sieve (240-digit input)
- Fri May 15 05:48:32 2026 R0: 141926026370668085609056630575488383791043
- Fri May 15 05:48:32 2026 R1: -1
- Fri May 15 05:48:32 2026 A0: 1
- Fri May 15 05:48:32 2026 A1: 1
- Fri May 15 05:48:32 2026 A2: 1
- Fri May 15 05:48:32 2026 A3: 1
- Fri May 15 05:48:32 2026 A4: 1
- Fri May 15 05:48:32 2026 A5: 1
- Fri May 15 05:48:32 2026 A6: 1
- Fri May 15 05:48:32 2026 skew 1.36, size 3.398e-12, alpha 2.428, combined = 2.896e-13 rroots = 0
- Fri May 15 05:48:32 2026
- Fri May 15 05:48:32 2026 commencing square root phase
- Fri May 15 05:48:32 2026 reading relations for dependency 1
- Fri May 15 05:48:35 2026 read 7075664 cycles
- Fri May 15 05:48:46 2026 cycles contain 25495156 unique relations
- Fri May 15 05:51:39 2026 read 25495156 relations
- Fri May 15 05:52:43 2026 multiplying 25495156 relations
- Fri May 15 05:54:05 2026 multiply complete, coefficients have about 629.35 million bits
- Fri May 15 05:54:07 2026 initial square root is modulo 442879
- Fri May 15 05:56:52 2026 sqrtTime: 500
- Fri May 15 05:56:52 2026 p68 factor: 82122922691736967833176261635471965815147908132059791850992708154157
- Fri May 15 05:56:52 2026 p173 factor: 10415748642028263678143240012364696692749660350878970581595518690695366401041037150629955368085538781446896209482187919155073082923802567182253947373425238901568160409922307
- Fri May 15 05:56:52 2026 elapsed time 00:08:20
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