Not a member of Pastebin yet?
Sign Up,
it unlocks many cool features!
- Fri Sep 26 12:14:33 2025
- Fri Sep 26 12:14:33 2025
- Fri Sep 26 12:14:33 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Fri Sep 26 12:14:33 2025 random seeds: b5367365 67e248b0
- Fri Sep 26 12:14:33 2025 factoring 20584668831212318029829852037094621815876281056273965660567682348025476900378711229872310913741136274756910116096396981249722952659052245418458713750899885338383845777327889275416953333455543517670945534680811495973 (215 digits)
- Fri Sep 26 12:14:35 2025 searching for 15-digit factors
- Fri Sep 26 12:14:35 2025 commencing number field sieve (215-digit input)
- Fri Sep 26 12:14:35 2025 R0: 11129845945164269926315975078327044763682
- Fri Sep 26 12:14:35 2025 R1: -105498085030792241041
- Fri Sep 26 12:14:35 2025 A0: -1
- Fri Sep 26 12:14:35 2025 A1: 3
- Fri Sep 26 12:14:35 2025 A2: 6
- Fri Sep 26 12:14:35 2025 A3: -4
- Fri Sep 26 12:14:35 2025 A4: -5
- Fri Sep 26 12:14:35 2025 A5: 1
- Fri Sep 26 12:14:35 2025 A6: 1
- Fri Sep 26 12:14:35 2025 skew 1.37, size 8.145e-12, alpha 3.126, combined = 5.400e-13 rroots = 6
- Fri Sep 26 12:14:35 2025
- Fri Sep 26 12:14:35 2025 commencing relation filtering
- Fri Sep 26 12:14:35 2025 setting target matrix density to 116.0
- Fri Sep 26 12:14:35 2025 estimated available RAM is 15938.6 MB
- Fri Sep 26 12:14:35 2025 commencing duplicate removal, pass 1
- Fri Sep 26 12:45:56 2025 skipped 29 relations with b > 2^32
- Fri Sep 26 12:45:56 2025 skipped 4 relations with composite factors
- Fri Sep 26 12:45:56 2025 found 12242968 hash collisions in 237815088 relations
- Fri Sep 26 12:45:56 2025 commencing duplicate removal, pass 2
- Fri Sep 26 12:47:19 2025 found 0 duplicates and 237815088 unique relations
- Fri Sep 26 12:47:19 2025 memory use: 756.8 MB
- Fri Sep 26 12:47:19 2025 reading ideals above 121044992
- Fri Sep 26 12:47:19 2025 commencing singleton removal, initial pass
- Fri Sep 26 13:15:56 2025 memory use: 5512.0 MB
- Fri Sep 26 13:15:57 2025 reading all ideals from disk
- Fri Sep 26 13:16:05 2025 memory use: 4314.9 MB
- Fri Sep 26 13:16:21 2025 commencing in-memory singleton removal
- Fri Sep 26 13:16:36 2025 begin with 237815088 relations and 203919417 unique ideals
- Fri Sep 26 13:18:45 2025 reduce to 141749265 relations and 98764208 ideals in 13 passes
- Fri Sep 26 13:18:45 2025 max relations containing the same ideal: 33
- Fri Sep 26 13:18:56 2025 reading ideals above 720000
- Fri Sep 26 13:18:57 2025 commencing singleton removal, initial pass
- Fri Sep 26 13:39:00 2025 memory use: 3012.0 MB
- Fri Sep 26 13:39:01 2025 reading all ideals from disk
- Fri Sep 26 13:39:11 2025 memory use: 5505.2 MB
- Fri Sep 26 13:39:33 2025 keeping 111867848 ideals with weight <= 200, target excess is 691686
- Fri Sep 26 13:39:55 2025 commencing in-memory singleton removal
- Fri Sep 26 13:40:12 2025 begin with 141749265 relations and 111867848 unique ideals
- Fri Sep 26 13:41:13 2025 reduce to 141748973 relations and 111867556 ideals in 4 passes
- Fri Sep 26 13:41:13 2025 max relations containing the same ideal: 200
- Fri Sep 26 13:42:57 2025 removing 10855283 relations and 8855283 ideals in 2000000 cliques
- Fri Sep 26 13:43:03 2025 commencing in-memory singleton removal
- Fri Sep 26 13:43:22 2025 begin with 130893690 relations and 111867556 unique ideals
- Fri Sep 26 13:45:25 2025 reduce to 130257606 relations and 102364467 ideals in 8 passes
- Fri Sep 26 13:45:25 2025 max relations containing the same ideal: 197
- Fri Sep 26 13:46:49 2025 removing 8287829 relations and 6287829 ideals in 2000000 cliques
- Fri Sep 26 13:46:54 2025 commencing in-memory singleton removal
- Fri Sep 26 13:47:09 2025 begin with 121969777 relations and 102364467 unique ideals
- Fri Sep 26 13:48:36 2025 reduce to 121545480 relations and 95645430 ideals in 7 passes
- Fri Sep 26 13:48:36 2025 max relations containing the same ideal: 192
- Fri Sep 26 13:49:52 2025 removing 7527981 relations and 5527981 ideals in 2000000 cliques
- Fri Sep 26 13:49:56 2025 commencing in-memory singleton removal
- Fri Sep 26 13:50:09 2025 begin with 114017499 relations and 95645430 unique ideals
- Fri Sep 26 13:51:45 2025 reduce to 113644566 relations and 89738485 ideals in 8 passes
- Fri Sep 26 13:51:45 2025 max relations containing the same ideal: 184
- Fri Sep 26 13:52:55 2025 removing 7134381 relations and 5134381 ideals in 2000000 cliques
- Fri Sep 26 13:52:59 2025 commencing in-memory singleton removal
- Fri Sep 26 13:53:12 2025 begin with 106510185 relations and 89738485 unique ideals
- Fri Sep 26 13:54:16 2025 reduce to 106160372 relations and 84248512 ideals in 6 passes
- Fri Sep 26 13:54:16 2025 max relations containing the same ideal: 179
- Fri Sep 26 13:55:21 2025 removing 6888676 relations and 4888676 ideals in 2000000 cliques
- Fri Sep 26 13:55:25 2025 commencing in-memory singleton removal
- Fri Sep 26 13:55:37 2025 begin with 99271696 relations and 84248512 unique ideals
- Fri Sep 26 13:56:34 2025 reduce to 98927901 relations and 79010085 ideals in 6 passes
- Fri Sep 26 13:56:34 2025 max relations containing the same ideal: 169
- Fri Sep 26 13:57:35 2025 removing 6725536 relations and 4725536 ideals in 2000000 cliques
- Fri Sep 26 13:57:39 2025 commencing in-memory singleton removal
- Fri Sep 26 13:57:49 2025 begin with 92202365 relations and 79010085 unique ideals
- Fri Sep 26 13:58:51 2025 reduce to 91859009 relations and 73934753 ideals in 7 passes
- Fri Sep 26 13:58:51 2025 max relations containing the same ideal: 163
- Fri Sep 26 13:59:53 2025 removing 6616407 relations and 4616407 ideals in 2000000 cliques
- Fri Sep 26 13:59:56 2025 commencing in-memory singleton removal
- Fri Sep 26 14:00:06 2025 begin with 85242602 relations and 73934753 unique ideals
- Fri Sep 26 14:01:05 2025 reduce to 84889387 relations and 68958243 ideals in 7 passes
- Fri Sep 26 14:01:05 2025 max relations containing the same ideal: 152
- Fri Sep 26 14:02:00 2025 removing 6543893 relations and 4543893 ideals in 2000000 cliques
- Fri Sep 26 14:02:04 2025 commencing in-memory singleton removal
- Fri Sep 26 14:02:14 2025 begin with 78345494 relations and 68958243 unique ideals
- Fri Sep 26 14:03:26 2025 reduce to 77975575 relations and 64036606 ideals in 7 passes
- Fri Sep 26 14:03:26 2025 max relations containing the same ideal: 145
- Fri Sep 26 14:04:25 2025 removing 6500302 relations and 4500302 ideals in 2000000 cliques
- Fri Sep 26 14:04:29 2025 commencing in-memory singleton removal
- Fri Sep 26 14:04:39 2025 begin with 71475273 relations and 64036606 unique ideals
- Fri Sep 26 14:05:52 2025 reduce to 71083095 relations and 59135113 ideals in 7 passes
- Fri Sep 26 14:05:52 2025 max relations containing the same ideal: 137
- Fri Sep 26 14:06:48 2025 removing 6481459 relations and 4481459 ideals in 2000000 cliques
- Fri Sep 26 14:06:52 2025 commencing in-memory singleton removal
- Fri Sep 26 14:07:00 2025 begin with 64601636 relations and 59135113 unique ideals
- Fri Sep 26 14:07:47 2025 reduce to 64175717 relations and 54217190 ideals in 7 passes
- Fri Sep 26 14:07:47 2025 max relations containing the same ideal: 128
- Fri Sep 26 14:08:31 2025 removing 6488666 relations and 4488666 ideals in 2000000 cliques
- Fri Sep 26 14:08:35 2025 commencing in-memory singleton removal
- Fri Sep 26 14:08:43 2025 begin with 57687051 relations and 54217190 unique ideals
- Fri Sep 26 14:09:46 2025 reduce to 57215368 relations and 49244058 ideals in 8 passes
- Fri Sep 26 14:09:46 2025 max relations containing the same ideal: 119
- Fri Sep 26 14:10:30 2025 removing 6520311 relations and 4520311 ideals in 2000000 cliques
- Fri Sep 26 14:10:34 2025 commencing in-memory singleton removal
- Fri Sep 26 14:10:41 2025 begin with 50695057 relations and 49244058 unique ideals
- Fri Sep 26 14:11:32 2025 reduce to 50161292 relations and 44173829 ideals in 8 passes
- Fri Sep 26 14:11:32 2025 max relations containing the same ideal: 108
- Fri Sep 26 14:12:08 2025 removing 6577233 relations and 4577233 ideals in 2000000 cliques
- Fri Sep 26 14:12:11 2025 commencing in-memory singleton removal
- Fri Sep 26 14:12:16 2025 begin with 43584059 relations and 44173829 unique ideals
- Fri Sep 26 14:12:50 2025 reduce to 42962143 relations and 38953287 ideals in 8 passes
- Fri Sep 26 14:12:50 2025 max relations containing the same ideal: 101
- Fri Sep 26 14:13:16 2025 removing 6657094 relations and 4657094 ideals in 2000000 cliques
- Fri Sep 26 14:13:18 2025 commencing in-memory singleton removal
- Fri Sep 26 14:13:22 2025 begin with 36305049 relations and 38953287 unique ideals
- Fri Sep 26 14:13:49 2025 reduce to 35548746 relations and 33509269 ideals in 9 passes
- Fri Sep 26 14:13:49 2025 max relations containing the same ideal: 86
- Fri Sep 26 14:14:10 2025 removing 4614500 relations and 3377379 ideals in 1237121 cliques
- Fri Sep 26 14:14:12 2025 commencing in-memory singleton removal
- Fri Sep 26 14:14:15 2025 begin with 30934246 relations and 33509269 unique ideals
- Fri Sep 26 14:14:36 2025 reduce to 30475276 relations and 29658369 ideals in 8 passes
- Fri Sep 26 14:14:36 2025 max relations containing the same ideal: 77
- Fri Sep 26 14:14:54 2025 removing 110368 relations and 95817 ideals in 14551 cliques
- Fri Sep 26 14:14:56 2025 commencing in-memory singleton removal
- Fri Sep 26 14:14:58 2025 begin with 30364908 relations and 29658369 unique ideals
- Fri Sep 26 14:15:08 2025 reduce to 30364618 relations and 29562262 ideals in 4 passes
- Fri Sep 26 14:15:08 2025 max relations containing the same ideal: 77
- Fri Sep 26 14:15:15 2025 relations with 0 large ideals: 52402
- Fri Sep 26 14:15:15 2025 relations with 1 large ideals: 14324
- Fri Sep 26 14:15:15 2025 relations with 2 large ideals: 154681
- Fri Sep 26 14:15:15 2025 relations with 3 large ideals: 972510
- Fri Sep 26 14:15:15 2025 relations with 4 large ideals: 3286142
- Fri Sep 26 14:15:15 2025 relations with 5 large ideals: 6550471
- Fri Sep 26 14:15:15 2025 relations with 6 large ideals: 8095466
- Fri Sep 26 14:15:15 2025 relations with 7+ large ideals: 11238622
- Fri Sep 26 14:15:15 2025 commencing 2-way merge
- Fri Sep 26 14:15:40 2025 reduce to 19297602 relation sets and 18495246 unique ideals
- Fri Sep 26 14:15:40 2025 commencing full merge
- Fri Sep 26 14:26:17 2025 memory use: 2596.5 MB
- Fri Sep 26 14:26:20 2025 found 8751573 cycles, need 8747446
- Fri Sep 26 14:26:24 2025 weight of 8747446 cycles is about 1015257520 (116.06/cycle)
- Fri Sep 26 14:26:24 2025 distribution of cycle lengths:
- Fri Sep 26 14:26:24 2025 1 relations: 484197
- Fri Sep 26 14:26:24 2025 2 relations: 564500
- Fri Sep 26 14:26:24 2025 3 relations: 607093
- Fri Sep 26 14:26:24 2025 4 relations: 607804
- Fri Sep 26 14:26:24 2025 5 relations: 612033
- Fri Sep 26 14:26:24 2025 6 relations: 602662
- Fri Sep 26 14:26:24 2025 7 relations: 591492
- Fri Sep 26 14:26:24 2025 8 relations: 565902
- Fri Sep 26 14:26:24 2025 9 relations: 533243
- Fri Sep 26 14:26:24 2025 10+ relations: 3578520
- Fri Sep 26 14:26:24 2025 heaviest cycle: 28 relations
- Fri Sep 26 14:26:27 2025 commencing cycle optimization
- Fri Sep 26 14:26:58 2025 start with 79013703 relations
- Fri Sep 26 14:31:36 2025 pruned 3581522 relations
- Fri Sep 26 14:31:36 2025 memory use: 2064.8 MB
- Fri Sep 26 14:31:36 2025 distribution of cycle lengths:
- Fri Sep 26 14:31:36 2025 1 relations: 484197
- Fri Sep 26 14:31:36 2025 2 relations: 575623
- Fri Sep 26 14:31:36 2025 3 relations: 629098
- Fri Sep 26 14:31:36 2025 4 relations: 629473
- Fri Sep 26 14:31:36 2025 5 relations: 640075
- Fri Sep 26 14:31:36 2025 6 relations: 629956
- Fri Sep 26 14:31:36 2025 7 relations: 621732
- Fri Sep 26 14:31:36 2025 8 relations: 593662
- Fri Sep 26 14:31:36 2025 9 relations: 559756
- Fri Sep 26 14:31:36 2025 10+ relations: 3383874
- Fri Sep 26 14:31:36 2025 heaviest cycle: 28 relations
- Fri Sep 26 14:31:59 2025 RelProcTime: 8244
- Fri Sep 26 14:31:59 2025
- Fri Sep 26 14:31:59 2025 commencing linear algebra
- Fri Sep 26 14:31:59 2025 using VBITS=512
- Fri Sep 26 14:32:00 2025 read 8747446 cycles
- Fri Sep 26 14:32:27 2025 cycles contain 29902407 unique relations
- Fri Sep 26 14:35:01 2025 read 29902407 relations
- Fri Sep 26 14:36:10 2025 using 20 quadratic characters above 4294917295
- Fri Sep 26 14:38:49 2025 building initial matrix
- Fri Sep 26 14:45:54 2025 memory use: 3591.2 MB
- Fri Sep 26 14:46:01 2025 read 8747446 cycles
- Fri Sep 26 14:46:02 2025 matrix is 8747268 x 8747446 (3953.7 MB) with weight 1118035424 (127.81/col)
- Fri Sep 26 14:46:02 2025 sparse part has weight 948961534 (108.48/col)
- Fri Sep 26 14:48:16 2025 filtering completed in 2 passes
- Fri Sep 26 14:48:18 2025 matrix is 8747170 x 8747312 (3953.7 MB) with weight 1118032040 (127.81/col)
- Fri Sep 26 14:48:18 2025 sparse part has weight 948960570 (108.49/col)
- Fri Sep 26 14:48:54 2025 matrix starts at (0, 0)
- Fri Sep 26 14:48:56 2025 matrix is 8747170 x 8747312 (3953.7 MB) with weight 1118032040 (127.81/col)
- Fri Sep 26 14:48:56 2025 sparse part has weight 948960570 (108.49/col)
- Fri Sep 26 14:48:56 2025 saving the first 496 matrix rows for later
- Fri Sep 26 14:49:00 2025 matrix includes 512 packed rows
- Fri Sep 26 14:49:12 2025 matrix is 8746674 x 8747312 (3755.5 MB) with weight 817775306 (93.49/col)
- Fri Sep 26 14:49:12 2025 sparse part has weight 774555043 (88.55/col)
- Sat Sep 27 15:11:21 2025
- Sat Sep 27 15:11:21 2025
- Sat Sep 27 15:11:21 2025 Msieve v. 1.54 (SVN unknown)
- Sat Sep 27 15:11:21 2025 random seeds: 16048051 62f65d5b
- Sat Sep 27 21:15:21 2025 factoring 20584668831212318029829852037094621815876281056273965660567682348025476900378711229872310913741136274756910116096396981249722952659052245418458713750899885338383845777327889275416953333455543517670945534680811495973 (215 digits)
- Sat Sep 27 21:15:22 2025 searching for 15-digit factors
- Sat Sep 27 21:15:22 2025 commencing number field sieve (215-digit input)
- Sat Sep 27 21:15:22 2025 R0: 11129845945164269926315975078327044763682
- Sat Sep 27 21:15:22 2025 R1: -105498085030792241041
- Sat Sep 27 21:15:22 2025 A0: -1
- Sat Sep 27 21:15:22 2025 A1: 3
- Sat Sep 27 21:15:22 2025 A2: 6
- Sat Sep 27 21:15:22 2025 A3: -4
- Sat Sep 27 21:15:22 2025 A4: -5
- Sat Sep 27 21:15:22 2025 A5: 1
- Sat Sep 27 21:15:22 2025 A6: 1
- Sat Sep 27 21:15:22 2025 skew 1.37, size 8.145e-12, alpha 3.126, combined = 5.400e-13 rroots = 6
- Sat Sep 27 15:11:22 2025
- Sat Sep 27 15:11:22 2025 commencing linear algebra
- Sat Sep 27 15:11:22 2025 using VBITS=512
- Sat Sep 27 15:11:22 2025 skipping matrix build
- Sat Sep 27 15:11:24 2025 matrix starts at (0, 0)
- Sat Sep 27 15:11:25 2025 matrix is 8747170 x 8747312 (3953.7 MB) with weight 1118032040 (127.81/col)
- Sat Sep 27 15:11:25 2025 sparse part has weight 948960570 (108.49/col)
- Sat Sep 27 15:11:25 2025 saving the first 496 matrix rows for later
- Sat Sep 27 15:11:27 2025 matrix includes 512 packed rows
- Sat Sep 27 15:11:33 2025 matrix is 8746674 x 8747312 (3755.5 MB) with weight 817775306 (93.49/col)
- Sat Sep 27 15:11:33 2025 sparse part has weight 774555043 (88.55/col)
- Sat Sep 27 15:11:33 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
- Sat Sep 27 15:11:33 2025 selected card has CUDA arch 8.6
- Sat Sep 27 15:12:26 2025 commencing Lanczos iteration
- Sat Sep 27 15:12:27 2025 memory use: 10347.4 MB
- Sat Sep 27 15:13:00 2025 linear algebra at 0.2%, ETA 5h13m
- Sat Sep 27 15:13:01 2025 checkpointing every 1680000 dimensions
- Sat Sep 27 20:57:40 2025 lanczos halted after 17110 iterations (dim = 8746668)
- Sat Sep 27 20:59:44 2025 recovered 31 nontrivial dependencies
- Sat Sep 27 20:59:44 2025 BLanczosTime: 20902
- Sat Sep 27 20:59:44 2025 elapsed time 05:48:23
- Sat Sep 27 21:05:12 2025
- Sat Sep 27 21:05:12 2025
- Sat Sep 27 21:05:12 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Sat Sep 27 21:05:12 2025 random seeds: ec2c83ef 8e5b6bb5
- Sat Sep 27 21:05:12 2025 factoring 20584668831212318029829852037094621815876281056273965660567682348025476900378711229872310913741136274756910116096396981249722952659052245418458713750899885338383845777327889275416953333455543517670945534680811495973 (215 digits)
- Sat Sep 27 21:05:14 2025 searching for 15-digit factors
- Sat Sep 27 21:05:15 2025 commencing number field sieve (215-digit input)
- Sat Sep 27 21:05:15 2025 R0: 11129845945164269926315975078327044763682
- Sat Sep 27 21:05:15 2025 R1: -105498085030792241041
- Sat Sep 27 21:05:15 2025 A0: -1
- Sat Sep 27 21:05:15 2025 A1: 3
- Sat Sep 27 21:05:15 2025 A2: 6
- Sat Sep 27 21:05:15 2025 A3: -4
- Sat Sep 27 21:05:15 2025 A4: -5
- Sat Sep 27 21:05:15 2025 A5: 1
- Sat Sep 27 21:05:15 2025 A6: 1
- Sat Sep 27 21:05:15 2025 skew 1.37, size 8.145e-12, alpha 3.126, combined = 5.400e-13 rroots = 6
- Sat Sep 27 21:05:15 2025
- Sat Sep 27 21:05:15 2025 commencing square root phase
- Sat Sep 27 21:05:15 2025 reading relations for dependency 1
- Sat Sep 27 21:05:16 2025 read 4375727 cycles
- Sat Sep 27 21:05:29 2025 cycles contain 14952666 unique relations
- Sat Sep 27 21:07:03 2025 read 14952666 relations
- Sat Sep 27 21:08:25 2025 multiplying 14952666 relations
- Sat Sep 27 21:19:14 2025 multiply complete, coefficients have about 367.45 million bits
- Sat Sep 27 21:19:16 2025 initial square root is modulo 3919897
- Sat Sep 27 21:32:28 2025 found factor: 7600078420760214597971115977067456149452364122895676285913
- Sat Sep 27 21:32:28 2025 reading relations for dependency 2
- Sat Sep 27 21:32:30 2025 read 4371690 cycles
- Sat Sep 27 21:32:43 2025 cycles contain 14940864 unique relations
- Sat Sep 27 21:34:22 2025 read 14940864 relations
- Sat Sep 27 21:35:43 2025 multiplying 14940864 relations
- Sat Sep 27 21:46:55 2025 multiply complete, coefficients have about 367.15 million bits
- Sat Sep 27 21:46:58 2025 initial square root is modulo 3871073
- Sat Sep 27 22:00:11 2025 found factor: 7600078420760214597971115977067456149452364122895676285913
- Sat Sep 27 22:00:11 2025 reading relations for dependency 3
- Sat Sep 27 22:00:12 2025 read 4368234 cycles
- Sat Sep 27 22:00:26 2025 cycles contain 14939108 unique relations
- Sat Sep 27 22:02:21 2025 read 14939108 relations
- Sat Sep 27 22:03:58 2025 multiplying 14939108 relations
- Sat Sep 27 22:14:51 2025 multiply complete, coefficients have about 367.12 million bits
- Sat Sep 27 22:14:54 2025 initial square root is modulo 3866081
- Sat Sep 27 22:26:05 2025 GCD is 1, no factor found
- Sat Sep 27 22:26:05 2025 reading relations for dependency 4
- Sat Sep 27 22:26:06 2025 read 4375077 cycles
- Sat Sep 27 22:26:16 2025 cycles contain 14950328 unique relations
- Sat Sep 27 22:28:08 2025 read 14950328 relations
- Sat Sep 27 22:29:38 2025 multiplying 14950328 relations
- Sat Sep 27 22:42:24 2025 multiply complete, coefficients have about 367.40 million bits
- Sat Sep 27 22:42:27 2025 initial square root is modulo 3911009
- Sat Sep 27 22:55:07 2025 sqrtTime: 6592
- Sat Sep 27 22:55:07 2025 p54 factor: 324649832079937832251024179826841400338233391821335383
- Sat Sep 27 22:55:07 2025 p58 factor: 7600078420760214597971115977067456149452364122895676285913
- Sat Sep 27 22:55:07 2025 p103 factor: 8342776867822733975927522591415422538181202046719854587646051378615716297708334373514889103922709884187
- Sat Sep 27 22:55:07 2025 elapsed time 01:49:55
Advertisement
Add Comment
Please, Sign In to add comment