Thu Jun 5 12:15:10 2025 Thu Jun 5 12:15:10 2025 Thu Jun 5 12:15:10 2025 Msieve v. 1.54 (SVN Unversioned directory) Thu Jun 5 12:15:10 2025 random seeds: 99c94fe5 23c409ed Thu Jun 5 12:15:10 2025 factoring 343017499491127932312947049154325070067171812004671200076075718366557623196140451088459869988921372389041324864823236267361639959243920757987883133903949631003784657803067097357881948539142498626839344937796598557877654182031 (225 digits) Thu Jun 5 12:15:11 2025 searching for 15-digit factors Thu Jun 5 12:15:12 2025 commencing number field sieve (225-digit input) Thu Jun 5 12:15:12 2025 R0: -1 Thu Jun 5 12:15:12 2025 R1: 26457737933666895990649897836262974001 Thu Jun 5 12:15:12 2025 A0: -30514801 Thu Jun 5 12:15:12 2025 A1: 0 Thu Jun 5 12:15:12 2025 A2: 0 Thu Jun 5 12:15:12 2025 A3: 0 Thu Jun 5 12:15:12 2025 A4: 0 Thu Jun 5 12:15:12 2025 A5: 0 Thu Jun 5 12:15:12 2025 A6: 1 Thu Jun 5 12:15:12 2025 skew 13.90, size 3.479e-12, alpha 1.304, combined = 3.095e-13 rroots = 2 Thu Jun 5 12:15:12 2025 Thu Jun 5 12:15:12 2025 commencing relation filtering Thu Jun 5 12:15:12 2025 setting target matrix density to 120.0 Thu Jun 5 12:15:12 2025 estimated available RAM is 15938.6 MB Thu Jun 5 12:15:12 2025 commencing duplicate removal, pass 1 Thu Jun 5 12:15:26 2025 error -1 reading relation 1739053 Thu Jun 5 12:15:31 2025 error -5 reading relation 2241756 Thu Jun 5 12:15:35 2025 error -15 reading relation 2766558 Thu Jun 5 12:16:07 2025 error -5 reading relation 6134440 Thu Jun 5 12:16:22 2025 error -1 reading relation 7821226 Thu Jun 5 12:16:26 2025 error -1 reading relation 8234964 Thu Jun 5 12:16:35 2025 error -1 reading relation 9270289 Thu Jun 5 12:18:04 2025 error -1 reading relation 19355172 Thu Jun 5 12:18:32 2025 error -1 reading relation 22615975 Thu Jun 5 12:19:02 2025 error -1 reading relation 26128214 Thu Jun 5 12:20:07 2025 error -1 reading relation 33390818 Thu Jun 5 12:21:02 2025 error -1 reading relation 39692487 Thu Jun 5 12:21:02 2025 error -1 reading relation 39692488 Thu Jun 5 12:21:02 2025 error -1 reading relation 39692489 Thu Jun 5 12:21:25 2025 error -1 reading relation 42414016 Thu Jun 5 12:21:38 2025 error -1 reading relation 43881167 Thu Jun 5 12:21:48 2025 error -1 reading relation 44995554 Thu Jun 5 12:22:17 2025 error -1 reading relation 49088681 Thu Jun 5 12:23:09 2025 error -1 reading relation 57119090 Thu Jun 5 12:23:49 2025 error -1 reading relation 63154130 Thu Jun 5 12:24:04 2025 error -1 reading relation 65360773 Thu Jun 5 12:24:04 2025 error -1 reading relation 65360774 Thu Jun 5 12:24:38 2025 error -1 reading relation 70595033 Thu Jun 5 12:25:05 2025 error -1 reading relation 74791297 Thu Jun 5 12:25:14 2025 error -1 reading relation 76208276 Thu Jun 5 12:25:15 2025 error -1 reading relation 76415266 Thu Jun 5 12:25:22 2025 error -1 reading relation 77397709 Thu Jun 5 12:25:22 2025 error -5 reading relation 77397710 Thu Jun 5 12:26:10 2025 error -1 reading relation 84609083 Thu Jun 5 12:26:16 2025 error -1 reading relation 85525880 Thu Jun 5 12:27:35 2025 error -1 reading relation 97725458 Thu Jun 5 12:27:55 2025 error -1 reading relation 100729442 Thu Jun 5 12:28:05 2025 error -1 reading relation 102265840 Thu Jun 5 12:28:20 2025 error -1 reading relation 104556461 Thu Jun 5 12:28:34 2025 error -15 reading relation 106807565 Thu Jun 5 12:29:08 2025 error -1 reading relation 111911349 Thu Jun 5 12:29:08 2025 error -1 reading relation 111911350 Thu Jun 5 12:29:31 2025 error -5 reading relation 115553938 Thu Jun 5 12:30:09 2025 error -1 reading relation 121453064 Thu Jun 5 12:30:17 2025 error -1 reading relation 122663408 Thu Jun 5 12:30:35 2025 error -11 reading relation 125401115 Thu Jun 5 12:30:44 2025 error -1 reading relation 126635050 Thu Jun 5 12:31:51 2025 error -1 reading relation 136999394 Thu Jun 5 12:32:19 2025 error -9 reading relation 141537601 Thu Jun 5 12:32:24 2025 error -1 reading relation 142210482 Thu Jun 5 12:32:37 2025 error -1 reading relation 144316529 Thu Jun 5 12:33:05 2025 error -1 reading relation 148801690 Thu Jun 5 12:33:06 2025 error -1 reading relation 148936930 Thu Jun 5 12:33:21 2025 error -15 reading relation 151411642 Thu Jun 5 12:33:21 2025 error -1 reading relation 151411664 Thu Jun 5 12:33:21 2025 error -15 reading relation 151411684 Thu Jun 5 12:33:21 2025 error -15 reading relation 151411690 Thu Jun 5 12:33:21 2025 error -15 reading relation 151411847 Thu Jun 5 12:33:21 2025 error -11 reading relation 151411856 Thu Jun 5 12:33:21 2025 error -15 reading relation 151411858 Thu Jun 5 12:33:21 2025 error -15 reading relation 151411964 Thu Jun 5 12:33:21 2025 error -15 reading relation 151412002 Thu Jun 5 12:35:54 2025 error -1 reading relation 175817158 Thu Jun 5 12:36:07 2025 error -11 reading relation 177790573 Thu Jun 5 12:36:55 2025 skipped 1 relations with b > 2^32 Thu Jun 5 12:36:55 2025 skipped 8 relations with composite factors Thu Jun 5 12:36:55 2025 found 7402508 hash collisions in 183360342 relations Thu Jun 5 12:37:07 2025 commencing duplicate removal, pass 2 Thu Jun 5 12:38:36 2025 found 0 duplicates and 183360342 unique relations Thu Jun 5 12:38:36 2025 memory use: 522.4 MB Thu Jun 5 12:38:36 2025 reading ideals above 135069696 Thu Jun 5 12:38:36 2025 commencing singleton removal, initial pass Thu Jun 5 12:53:03 2025 memory use: 3012.0 MB Thu Jun 5 12:53:04 2025 reading all ideals from disk Thu Jun 5 12:53:09 2025 memory use: 3294.5 MB Thu Jun 5 12:53:17 2025 commencing in-memory singleton removal Thu Jun 5 12:53:28 2025 begin with 183360342 relations and 157527244 unique ideals Thu Jun 5 12:55:19 2025 reduce to 112790647 relations and 79155582 ideals in 17 passes Thu Jun 5 12:55:19 2025 max relations containing the same ideal: 40 Thu Jun 5 12:55:28 2025 reading ideals above 720000 Thu Jun 5 12:55:28 2025 commencing singleton removal, initial pass Thu Jun 5 13:10:26 2025 memory use: 2756.0 MB Thu Jun 5 13:10:26 2025 reading all ideals from disk Thu Jun 5 13:10:34 2025 memory use: 4425.0 MB Thu Jun 5 13:10:52 2025 keeping 93885433 ideals with weight <= 200, target excess is 569381 Thu Jun 5 13:11:10 2025 commencing in-memory singleton removal Thu Jun 5 13:11:22 2025 begin with 112790647 relations and 93885433 unique ideals Thu Jun 5 13:12:49 2025 reduce to 112789922 relations and 93884708 ideals in 7 passes Thu Jun 5 13:12:49 2025 max relations containing the same ideal: 200 Thu Jun 5 13:14:03 2025 removing 11317547 relations and 9317547 ideals in 2000000 cliques Thu Jun 5 13:14:07 2025 commencing in-memory singleton removal Thu Jun 5 13:14:21 2025 begin with 101472375 relations and 93884708 unique ideals Thu Jun 5 13:15:49 2025 reduce to 100605135 relations and 83680158 ideals in 9 passes Thu Jun 5 13:15:49 2025 max relations containing the same ideal: 194 Thu Jun 5 13:16:47 2025 removing 8616991 relations and 6616991 ideals in 2000000 cliques Thu Jun 5 13:16:51 2025 commencing in-memory singleton removal Thu Jun 5 13:17:04 2025 begin with 91988144 relations and 83680158 unique ideals Thu Jun 5 13:18:01 2025 reduce to 91406882 relations and 76470109 ideals in 7 passes Thu Jun 5 13:18:01 2025 max relations containing the same ideal: 185 Thu Jun 5 13:18:51 2025 removing 7817515 relations and 5817515 ideals in 2000000 cliques Thu Jun 5 13:18:55 2025 commencing in-memory singleton removal Thu Jun 5 13:19:05 2025 begin with 83589367 relations and 76470109 unique ideals Thu Jun 5 13:19:56 2025 reduce to 83070868 relations and 70123509 ideals in 7 passes Thu Jun 5 13:19:56 2025 max relations containing the same ideal: 173 Thu Jun 5 13:20:47 2025 removing 7410506 relations and 5410506 ideals in 2000000 cliques Thu Jun 5 13:20:50 2025 commencing in-memory singleton removal Thu Jun 5 13:20:58 2025 begin with 75660362 relations and 70123509 unique ideals Thu Jun 5 13:21:50 2025 reduce to 75163149 relations and 64204861 ideals in 8 passes Thu Jun 5 13:21:50 2025 max relations containing the same ideal: 163 Thu Jun 5 13:22:37 2025 removing 7157372 relations and 5157372 ideals in 2000000 cliques Thu Jun 5 13:22:40 2025 commencing in-memory singleton removal Thu Jun 5 13:22:48 2025 begin with 68005777 relations and 64204861 unique ideals Thu Jun 5 13:23:39 2025 reduce to 67507913 relations and 58538014 ideals in 8 passes Thu Jun 5 13:23:39 2025 max relations containing the same ideal: 154 Thu Jun 5 13:24:23 2025 removing 6988833 relations and 4988833 ideals in 2000000 cliques Thu Jun 5 13:24:26 2025 commencing in-memory singleton removal Thu Jun 5 13:24:33 2025 begin with 60519080 relations and 58538014 unique ideals Thu Jun 5 13:25:07 2025 reduce to 60007200 relations and 53024042 ideals in 7 passes Thu Jun 5 13:25:07 2025 max relations containing the same ideal: 141 Thu Jun 5 13:25:40 2025 removing 6863743 relations and 4863743 ideals in 2000000 cliques Thu Jun 5 13:25:43 2025 commencing in-memory singleton removal Thu Jun 5 13:25:48 2025 begin with 53143457 relations and 53024042 unique ideals Thu Jun 5 13:26:25 2025 reduce to 52600780 relations and 47602088 ideals in 8 passes Thu Jun 5 13:26:25 2025 max relations containing the same ideal: 129 Thu Jun 5 13:26:54 2025 removing 6772913 relations and 4772913 ideals in 2000000 cliques Thu Jun 5 13:26:57 2025 commencing in-memory singleton removal Thu Jun 5 13:27:02 2025 begin with 45827867 relations and 47602088 unique ideals Thu Jun 5 13:27:38 2025 reduce to 45234379 relations and 42216610 ideals in 9 passes Thu Jun 5 13:27:38 2025 max relations containing the same ideal: 119 Thu Jun 5 13:28:04 2025 removing 6713060 relations and 4713060 ideals in 2000000 cliques Thu Jun 5 13:28:07 2025 commencing in-memory singleton removal Thu Jun 5 13:28:11 2025 begin with 38521319 relations and 42216610 unique ideals Thu Jun 5 13:28:43 2025 reduce to 37835148 relations and 36791491 ideals in 9 passes Thu Jun 5 13:28:43 2025 max relations containing the same ideal: 104 Thu Jun 5 13:29:04 2025 removing 1783037 relations and 1399862 ideals in 383175 cliques Thu Jun 5 13:29:05 2025 commencing in-memory singleton removal Thu Jun 5 13:29:09 2025 begin with 36052111 relations and 36791491 unique ideals Thu Jun 5 13:29:26 2025 reduce to 35995850 relations and 35334847 ideals in 6 passes Thu Jun 5 13:29:26 2025 max relations containing the same ideal: 99 Thu Jun 5 13:29:55 2025 relations with 0 large ideals: 20179 Thu Jun 5 13:29:55 2025 relations with 1 large ideals: 9948 Thu Jun 5 13:29:55 2025 relations with 2 large ideals: 94698 Thu Jun 5 13:29:55 2025 relations with 3 large ideals: 681736 Thu Jun 5 13:29:55 2025 relations with 4 large ideals: 2680345 Thu Jun 5 13:29:55 2025 relations with 5 large ideals: 6322595 Thu Jun 5 13:29:55 2025 relations with 6 large ideals: 9335167 Thu Jun 5 13:29:55 2025 relations with 7+ large ideals: 16851182 Thu Jun 5 13:29:55 2025 commencing 2-way merge Thu Jun 5 13:30:23 2025 reduce to 23839220 relation sets and 23178217 unique ideals Thu Jun 5 13:30:23 2025 commencing full merge Thu Jun 5 13:42:04 2025 memory use: 3079.8 MB Thu Jun 5 13:42:07 2025 found 10691434 cycles, need 10678417 Thu Jun 5 13:42:11 2025 weight of 10678417 cycles is about 1282119960 (120.07/cycle) Thu Jun 5 13:42:11 2025 distribution of cycle lengths: Thu Jun 5 13:42:11 2025 1 relations: 419136 Thu Jun 5 13:42:11 2025 2 relations: 615912 Thu Jun 5 13:42:11 2025 3 relations: 736310 Thu Jun 5 13:42:11 2025 4 relations: 767936 Thu Jun 5 13:42:11 2025 5 relations: 787164 Thu Jun 5 13:42:11 2025 6 relations: 779968 Thu Jun 5 13:42:11 2025 7 relations: 764735 Thu Jun 5 13:42:11 2025 8 relations: 729731 Thu Jun 5 13:42:11 2025 9 relations: 686373 Thu Jun 5 13:42:11 2025 10+ relations: 4391152 Thu Jun 5 13:42:11 2025 heaviest cycle: 28 relations Thu Jun 5 13:42:16 2025 commencing cycle optimization Thu Jun 5 13:42:42 2025 start with 96742118 relations Thu Jun 5 13:47:05 2025 pruned 4538097 relations Thu Jun 5 13:47:05 2025 memory use: 2497.0 MB Thu Jun 5 13:47:06 2025 distribution of cycle lengths: Thu Jun 5 13:47:06 2025 1 relations: 419136 Thu Jun 5 13:47:06 2025 2 relations: 631813 Thu Jun 5 13:47:06 2025 3 relations: 768333 Thu Jun 5 13:47:06 2025 4 relations: 801026 Thu Jun 5 13:47:06 2025 5 relations: 827477 Thu Jun 5 13:47:06 2025 6 relations: 817934 Thu Jun 5 13:47:06 2025 7 relations: 805270 Thu Jun 5 13:47:06 2025 8 relations: 764722 Thu Jun 5 13:47:06 2025 9 relations: 718647 Thu Jun 5 13:47:06 2025 10+ relations: 4124059 Thu Jun 5 13:47:06 2025 heaviest cycle: 28 relations Thu Jun 5 13:47:31 2025 RelProcTime: 5539 Thu Jun 5 13:47:31 2025 elapsed time 01:32:21 Thu Jun 5 14:18:49 2025 Thu Jun 5 14:18:49 2025 Thu Jun 5 14:18:49 2025 Msieve v. 1.54 (SVN Unversioned directory) Thu Jun 5 14:18:49 2025 random seeds: 500bcb9d ce130e63 Thu Jun 5 14:18:49 2025 factoring 343017499491127932312947049154325070067171812004671200076075718366557623196140451088459869988921372389041324864823236267361639959243920757987883133903949631003784657803067097357881948539142498626839344937796598557877654182031 (225 digits) Thu Jun 5 14:18:50 2025 searching for 15-digit factors Thu Jun 5 14:18:51 2025 commencing number field sieve (225-digit input) Thu Jun 5 14:18:51 2025 R0: -1 Thu Jun 5 14:18:51 2025 R1: 26457737933666895990649897836262974001 Thu Jun 5 14:18:51 2025 A0: -30514801 Thu Jun 5 14:18:51 2025 A1: 0 Thu Jun 5 14:18:51 2025 A2: 0 Thu Jun 5 14:18:51 2025 A3: 0 Thu Jun 5 14:18:51 2025 A4: 0 Thu Jun 5 14:18:51 2025 A5: 0 Thu Jun 5 14:18:51 2025 A6: 1 Thu Jun 5 14:18:51 2025 skew 13.90, size 3.479e-12, alpha 1.304, combined = 3.095e-13 rroots = 2 Thu Jun 5 14:18:51 2025 Thu Jun 5 14:18:51 2025 commencing linear algebra Thu Jun 5 14:18:51 2025 using VBITS=256 Thu Jun 5 14:18:53 2025 read 10678417 cycles Thu Jun 5 14:19:30 2025 cycles contain 35655666 unique relations Thu Jun 5 14:22:44 2025 read 35655666 relations Thu Jun 5 14:24:07 2025 using 20 quadratic characters above 4294917295 Thu Jun 5 14:26:31 2025 building initial matrix Thu Jun 5 14:37:50 2025 memory use: 4694.3 MB Thu Jun 5 14:37:55 2025 read 10678417 cycles Thu Jun 5 14:37:57 2025 matrix is 10678240 x 10678417 (4965.9 MB) with weight 1434538874 (134.34/col) Thu Jun 5 14:37:57 2025 sparse part has weight 1194986278 (111.91/col) Thu Jun 5 14:40:31 2025 filtering completed in 2 passes Thu Jun 5 14:40:33 2025 matrix is 10678173 x 10678345 (4965.9 MB) with weight 1434536419 (134.34/col) Thu Jun 5 14:40:33 2025 sparse part has weight 1194985409 (111.91/col) Thu Jun 5 14:41:16 2025 matrix starts at (0, 0) Thu Jun 5 14:41:19 2025 matrix is 10678173 x 10678345 (4965.9 MB) with weight 1434536419 (134.34/col) Thu Jun 5 14:41:19 2025 sparse part has weight 1194985409 (111.91/col) Thu Jun 5 14:41:19 2025 saving the first 240 matrix rows for later Thu Jun 5 14:41:22 2025 matrix includes 256 packed rows Thu Jun 5 14:41:30 2025 matrix is 10677933 x 10678345 (4612.6 MB) with weight 1092936638 (102.35/col) Thu Jun 5 14:41:30 2025 sparse part has weight 1038323590 (97.24/col) Thu Jun 5 15:23:01 2025 Thu Jun 5 15:23:01 2025 Thu Jun 5 15:23:01 2025 Msieve v. 1.54 (SVN unknown) Thu Jun 5 15:23:01 2025 random seeds: da0e4ab0 ef9b6cda Thu Jun 5 15:23:01 2025 factoring 343017499491127932312947049154325070067171812004671200076075718366557623196140451088459869988921372389041324864823236267361639959243920757987883133903949631003784657803067097357881948539142498626839344937796598557877654182031 (225 digits) Thu Jun 5 15:23:02 2025 no P-1/P+1/ECM available, skipping Thu Jun 5 15:23:02 2025 commencing number field sieve (225-digit input) Thu Jun 5 15:23:02 2025 R0: -1 Thu Jun 5 15:23:02 2025 R1: 26457737933666895990649897836262974001 Thu Jun 5 15:23:02 2025 A0: -30514801 Thu Jun 5 15:23:02 2025 A1: 0 Thu Jun 5 15:23:02 2025 A2: 0 Thu Jun 5 15:23:02 2025 A3: 0 Thu Jun 5 15:23:02 2025 A4: 0 Thu Jun 5 15:23:02 2025 A5: 0 Thu Jun 5 15:23:02 2025 A6: 1 Thu Jun 5 15:23:02 2025 skew 13.90, size 3.479e-12, alpha 1.304, combined = 3.095e-13 rroots = 2 Thu Jun 5 15:23:02 2025 Thu Jun 5 15:23:02 2025 commencing linear algebra Thu Jun 5 15:23:02 2025 using VBITS=256 Thu Jun 5 15:23:02 2025 skipping matrix build Thu Jun 5 15:23:05 2025 matrix starts at (0, 0) Thu Jun 5 15:23:06 2025 matrix is 10678173 x 10678345 (4965.9 MB) with weight 1434536419 (134.34/col) Thu Jun 5 15:23:06 2025 sparse part has weight 1194985409 (111.91/col) Thu Jun 5 15:23:06 2025 saving the first 240 matrix rows for later Thu Jun 5 15:23:09 2025 matrix includes 256 packed rows Thu Jun 5 15:23:13 2025 matrix is 10677933 x 10678345 (4612.6 MB) with weight 1092936638 (102.35/col) Thu Jun 5 15:23:13 2025 sparse part has weight 1038323590 (97.24/col) Thu Jun 5 15:23:13 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Thu Jun 5 15:23:13 2025 selected card has CUDA arch 8.6 Thu Jun 5 15:24:29 2025 commencing Lanczos iteration Thu Jun 5 15:24:30 2025 memory use: 10936.1 MB Thu Jun 5 15:24:51 2025 linear algebra at 0.1%, ETA 8h 7m Thu Jun 5 15:24:52 2025 checkpointing every 1300000 dimensions Thu Jun 5 23:41:32 2025 lanczos halted after 41838 iterations (dim = 10677932) Thu Jun 5 23:42:11 2025 recovered 31 nontrivial dependencies Thu Jun 5 23:42:12 2025 BLanczosTime: 29950 Thu Jun 5 23:42:12 2025 Thu Jun 5 23:42:12 2025 commencing square root phase Thu Jun 5 23:42:12 2025 handling dependencies 1 to 64 Thu Jun 5 23:42:12 2025 reading relations for dependency 1 Thu Jun 5 23:42:14 2025 read 5342119 cycles Thu Jun 5 23:42:23 2025 cycles contain 17826246 unique relations Thu Jun 5 23:43:34 2025 read 17826246 relations Thu Jun 5 23:44:45 2025 multiplying 17826246 relations Thu Jun 5 23:54:56 2025 multiply complete, coefficients have about 480.06 million bits Thu Jun 5 23:54:58 2025 initial square root is modulo 410963929 Fri Jun 6 00:06:08 2025 sqrtTime: 1436 Fri Jun 6 00:06:08 2025 p54 factor: 969957449016551849842266048458702088565204436496782651 Fri Jun 6 00:06:08 2025 p171 factor: 353641801337694047978033577307448453728517114253072256343321011353936560991167547784356541337253096800804012394352843438608971670553432146404035131758287152955188461192381 Fri Jun 6 00:06:08 2025 elapsed time 08:43:07