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Mon Jul 6 02:57:12 2026 Mon Jul 6 02:57:12 2026 Mon Jul 6 02:57:12 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon Jul 6 02:57:12 2026 random seeds: 6c85a47a 4cb61ca1 Mon Jul 6 02:57:12 2026 MPI process 0 of 1 Mon Jul 6 02:57:12 2026 Using 32 OpenMP threads Mon Jul 6 02:57:12 2026 factoring 257350410620496070746147588057384323680964552192070734733436773122005786914699920206897471229456699137509842154417680137741330023550713835745476970905553788112768805712078325044517 (180 digits) Mon Jul 6 02:57:13 2026 searching for 15-digit factors Mon Jul 6 02:57:13 2026 commencing number field sieve (180-digit input) Mon Jul 6 02:57:13 2026 R0: -50476216416504308882461469366070613 Mon Jul 6 02:57:13 2026 R1: 24038281287533 Mon Jul 6 02:57:13 2026 A0: 6478889778343215758761261231677925428188760 Mon Jul 6 02:57:13 2026 A1: -1436998885879405962165101115258830006 Mon Jul 6 02:57:13 2026 A2: 34451351201530324052920397887 Mon Jul 6 02:57:13 2026 A3: -9643185058009673155067 Mon Jul 6 02:57:13 2026 A4: -75078431105916 Mon Jul 6 02:57:13 2026 A5: 1570800 Mon Jul 6 02:57:13 2026 skew 38705760.61, size 1.426e-17, alpha -7.705, combined = 8.842e-14 rroots = 3 Mon Jul 6 02:57:13 2026 Mon Jul 6 02:57:13 2026 commencing relation filtering Mon Jul 6 02:57:13 2026 setting target matrix density to 120.0 Mon Jul 6 02:57:13 2026 estimated available RAM is 257736.5 MB Mon Jul 6 02:57:13 2026 commencing duplicate removal, pass 1 Mon Jul 6 02:57:32 2026 error -1 reading relation 10009211 Mon Jul 6 02:57:38 2026 error -1 reading relation 12158146 Mon Jul 6 02:58:06 2026 error -1 reading relation 21502704 Mon Jul 6 02:58:13 2026 error -1 reading relation 23983989 Mon Jul 6 03:00:19 2026 error -1 reading relation 64645913 Mon Jul 6 03:00:44 2026 error -1 reading relation 72892810 Mon Jul 6 03:01:27 2026 error -1 reading relation 86765000 Mon Jul 6 03:03:22 2026 error -1 reading relation 126397624 Mon Jul 6 03:03:36 2026 error -15 reading relation 131193159 Mon Jul 6 03:03:55 2026 error -1 reading relation 136957240 Mon Jul 6 03:04:51 2026 error -1 reading relation 151372065 Mon Jul 6 03:05:15 2026 error -1 reading relation 158541524 Mon Jul 6 03:06:04 2026 error -1 reading relation 173851029 Mon Jul 6 03:06:09 2026 error -1 reading relation 175514435 Mon Jul 6 03:07:12 2026 error -1 reading relation 198080120 Mon Jul 6 03:07:23 2026 error -1 reading relation 201776746 Mon Jul 6 03:08:44 2026 error -1 reading relation 226949574 Mon Jul 6 03:09:17 2026 error -15 reading relation 237004296 Mon Jul 6 03:09:38 2026 error -11 reading relation 243965193 Mon Jul 6 03:09:54 2026 error -1 reading relation 249165003 Mon Jul 6 03:09:59 2026 error -1 reading relation 250780926 Mon Jul 6 03:10:53 2026 error -1 reading relation 268500498 Mon Jul 6 03:10:54 2026 error -1 reading relation 268681652 Mon Jul 6 03:11:11 2026 error -1 reading relation 274108955 Mon Jul 6 03:11:46 2026 error -1 reading relation 284127039 Mon Jul 6 03:12:26 2026 error -1 reading relation 296955295 Mon Jul 6 03:12:27 2026 error -1 reading relation 297451973 Mon Jul 6 03:12:46 2026 error -1 reading relation 303652481 Mon Jul 6 03:12:57 2026 error -1 reading relation 307051040 Mon Jul 6 03:12:59 2026 error -1 reading relation 307601652 Mon Jul 6 03:12:59 2026 error -1 reading relation 307610812 Mon Jul 6 03:13:01 2026 error -1 reading relation 308669143 Mon Jul 6 03:13:01 2026 error -1 reading relation 308669581 Mon Jul 6 03:13:01 2026 error -1 reading relation 308681173 Mon Jul 6 03:13:07 2026 error -1 reading relation 310901446 Mon Jul 6 03:13:13 2026 error -1 reading relation 312621748 Mon Jul 6 03:13:15 2026 error -1 reading relation 313370322 Mon Jul 6 03:13:16 2026 error -1 reading relation 313465182 Mon Jul 6 03:13:16 2026 error -1 reading relation 313478439 Mon Jul 6 03:13:16 2026 error -15 reading relation 313492446 Mon Jul 6 03:13:16 2026 error -15 reading relation 313538608 Mon Jul 6 03:13:16 2026 error -1 reading relation 313551319 Mon Jul 6 03:13:16 2026 error -15 reading relation 313575588 Mon Jul 6 03:13:26 2026 skipped 5 relations with composite factors Mon Jul 6 03:13:26 2026 skipped 150 malformed relations Mon Jul 6 03:13:26 2026 found 72953896 hash collisions in 316891668 relations Mon Jul 6 03:14:07 2026 added 121919 free relations Mon Jul 6 03:14:07 2026 commencing duplicate removal, pass 2 Mon Jul 6 03:27:19 2026 found 80889474 duplicates and 236124113 unique relations Mon Jul 6 03:27:19 2026 memory use: 1705.5 MB Mon Jul 6 03:27:19 2026 reading ideals above 720000 Mon Jul 6 03:27:20 2026 commencing singleton removal, initial pass Mon Jul 6 04:12:08 2026 memory use: 6024.0 MB Mon Jul 6 04:12:09 2026 reading all ideals from disk Mon Jul 6 04:12:19 2026 memory use: 11375.4 MB Mon Jul 6 04:14:11 2026 keeping 237565990 ideals with weight <= 200, target excess is 1247288 Mon Jul 6 04:16:05 2026 commencing in-memory singleton removal Mon Jul 6 04:16:10 2026 begin with 236124113 relations and 237565990 unique ideals Mon Jul 6 04:16:45 2026 reduce to 125592212 relations and 113285995 ideals in 21 passes Mon Jul 6 04:16:45 2026 max relations containing the same ideal: 139 Mon Jul 6 04:19:04 2026 removing 13978066 relations and 11978066 ideals in 2000000 cliques Mon Jul 6 04:19:14 2026 commencing in-memory singleton removal Mon Jul 6 04:19:18 2026 begin with 111614146 relations and 113285995 unique ideals Mon Jul 6 04:19:32 2026 reduce to 110294843 relations and 99960753 ideals in 11 passes Mon Jul 6 04:19:32 2026 max relations containing the same ideal: 129 Mon Jul 6 04:21:25 2026 removing 10732938 relations and 8732938 ideals in 2000000 cliques Mon Jul 6 04:21:34 2026 commencing in-memory singleton removal Mon Jul 6 04:21:37 2026 begin with 99561905 relations and 99960753 unique ideals Mon Jul 6 04:21:46 2026 reduce to 98649005 relations and 90297614 ideals in 9 passes Mon Jul 6 04:21:46 2026 max relations containing the same ideal: 116 Mon Jul 6 04:23:31 2026 removing 9795788 relations and 7795788 ideals in 2000000 cliques Mon Jul 6 04:23:39 2026 commencing in-memory singleton removal Mon Jul 6 04:23:41 2026 begin with 88853217 relations and 90297614 unique ideals Mon Jul 6 04:23:49 2026 reduce to 87991111 relations and 81622993 ideals in 9 passes Mon Jul 6 04:23:49 2026 max relations containing the same ideal: 109 Mon Jul 6 04:25:22 2026 removing 9383728 relations and 7383728 ideals in 2000000 cliques Mon Jul 6 04:25:29 2026 commencing in-memory singleton removal Mon Jul 6 04:25:31 2026 begin with 78607383 relations and 81622993 unique ideals Mon Jul 6 04:25:39 2026 reduce to 77708285 relations and 73321525 ideals in 9 passes Mon Jul 6 04:25:39 2026 max relations containing the same ideal: 99 Mon Jul 6 04:27:00 2026 removing 9217399 relations and 7217399 ideals in 2000000 cliques Mon Jul 6 04:27:07 2026 commencing in-memory singleton removal Mon Jul 6 04:27:09 2026 begin with 68490886 relations and 73321525 unique ideals Mon Jul 6 04:27:16 2026 reduce to 67498716 relations and 65088550 ideals in 9 passes Mon Jul 6 04:27:16 2026 max relations containing the same ideal: 92 Mon Jul 6 04:28:30 2026 removing 5249731 relations and 4286420 ideals in 963311 cliques Mon Jul 6 04:28:36 2026 commencing in-memory singleton removal Mon Jul 6 04:28:37 2026 begin with 62248985 relations and 65088550 unique ideals Mon Jul 6 04:28:43 2026 reduce to 61905027 relations and 60453715 ideals in 10 passes Mon Jul 6 04:28:43 2026 max relations containing the same ideal: 90 Mon Jul 6 04:30:09 2026 relations with 0 large ideals: 4403 Mon Jul 6 04:30:09 2026 relations with 1 large ideals: 23732 Mon Jul 6 04:30:09 2026 relations with 2 large ideals: 340073 Mon Jul 6 04:30:09 2026 relations with 3 large ideals: 2112182 Mon Jul 6 04:30:09 2026 relations with 4 large ideals: 7121684 Mon Jul 6 04:30:09 2026 relations with 5 large ideals: 14219944 Mon Jul 6 04:30:09 2026 relations with 6 large ideals: 17430790 Mon Jul 6 04:30:09 2026 relations with 7+ large ideals: 20652219 Mon Jul 6 04:30:09 2026 commencing 2-way merge Mon Jul 6 04:31:46 2026 reduce to 37564757 relation sets and 36113445 unique ideals Mon Jul 6 04:31:46 2026 commencing full merge Mon Jul 6 05:00:03 2026 memory use: 4071.5 MB Mon Jul 6 05:00:11 2026 found 16287360 cycles, need 16219645 Mon Jul 6 05:00:20 2026 weight of 16219645 cycles is about 1946956174 (120.04/cycle) Mon Jul 6 05:00:20 2026 distribution of cycle lengths: Mon Jul 6 05:00:20 2026 1 relations: 1343443 Mon Jul 6 05:00:20 2026 2 relations: 1202223 Mon Jul 6 05:00:20 2026 3 relations: 1242267 Mon Jul 6 05:00:20 2026 4 relations: 1194926 Mon Jul 6 05:00:20 2026 5 relations: 1167252 Mon Jul 6 05:00:20 2026 6 relations: 1125201 Mon Jul 6 05:00:20 2026 7 relations: 1056292 Mon Jul 6 05:00:20 2026 8 relations: 1000385 Mon Jul 6 05:00:20 2026 9 relations: 923939 Mon Jul 6 05:00:20 2026 10+ relations: 5963717 Mon Jul 6 05:00:20 2026 heaviest cycle: 28 relations Mon Jul 6 05:00:29 2026 commencing cycle optimization Mon Jul 6 05:01:56 2026 start with 135562948 relations Mon Jul 6 05:12:06 2026 pruned 4814282 relations Mon Jul 6 05:12:07 2026 memory use: 3895.2 MB Mon Jul 6 05:12:07 2026 distribution of cycle lengths: Mon Jul 6 05:12:07 2026 1 relations: 1343443 Mon Jul 6 05:12:07 2026 2 relations: 1234358 Mon Jul 6 05:12:07 2026 3 relations: 1290611 Mon Jul 6 05:12:07 2026 4 relations: 1236278 Mon Jul 6 05:12:07 2026 5 relations: 1213549 Mon Jul 6 05:12:07 2026 6 relations: 1160899 Mon Jul 6 05:12:07 2026 7 relations: 1094303 Mon Jul 6 05:12:07 2026 8 relations: 1027774 Mon Jul 6 05:12:07 2026 9 relations: 947096 Mon Jul 6 05:12:07 2026 10+ relations: 5671334 Mon Jul 6 05:12:07 2026 heaviest cycle: 28 relations Mon Jul 6 05:13:00 2026 RelProcTime: 8147 Mon Jul 6 05:13:09 2026 Mon Jul 6 05:13:09 2026 commencing linear algebra Mon Jul 6 05:13:09 2026 using VBITS=256 Mon Jul 6 05:13:09 2026 stopping after matrix build Mon Jul 6 05:13:09 2026 initialized process (0,0) of 1 x 1 grid Mon Jul 6 05:13:13 2026 read 16219645 cycles Mon Jul 6 05:14:28 2026 cycles contain 60750019 unique relations Mon Jul 6 05:21:46 2026 read 60750019 relations Mon Jul 6 05:21:57 2026 using 20 quadratic characters above 4294917295 Mon Jul 6 05:22:09 2026 building initial matrix Mon Jul 6 05:56:46 2026 memory use: 8474.3 MB Mon Jul 6 05:57:16 2026 read 16219645 cycles Mon Jul 6 05:57:23 2026 matrix is 16219466 x 16219645 (7707.7 MB) with weight 2370997684 (146.18/col) Mon Jul 6 05:57:23 2026 sparse part has weight 1825903595 (112.57/col) Mon Jul 6 06:08:52 2026 filtering completed in 2 passes Mon Jul 6 06:09:04 2026 matrix is 16217416 x 16217593 (7707.5 MB) with weight 2370893390 (146.19/col) Mon Jul 6 06:09:04 2026 sparse part has weight 1825873599 (112.59/col) Mon Jul 6 06:11:36 2026 BLanczosTime: 3507 Mon Jul 6 06:11:36 2026 elapsed time 03:14:24 Mon Jul 6 11:26:58 2026 Mon Jul 6 11:26:58 2026 Mon Jul 6 11:26:58 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon Jul 6 11:26:58 2026 random seeds: 1a869985 0906404f Mon Jul 6 11:26:58 2026 MPI process 0 of 1 Mon Jul 6 11:26:58 2026 Using 64 OpenMP threads Mon Jul 6 11:26:58 2026 factoring 257350410620496070746147588057384323680964552192070734733436773122005786914699920206897471229456699137509842154417680137741330023550713835745476970905553788112768805712078325044517 (180 digits) Mon Jul 6 11:26:59 2026 searching for 15-digit factors Mon Jul 6 11:27:00 2026 commencing number field sieve (180-digit input) Mon Jul 6 11:27:00 2026 R0: -50476216416504308882461469366070613 Mon Jul 6 11:27:00 2026 R1: 24038281287533 Mon Jul 6 11:27:00 2026 A0: 6478889778343215758761261231677925428188760 Mon Jul 6 11:27:00 2026 A1: -1436998885879405962165101115258830006 Mon Jul 6 11:27:00 2026 A2: 34451351201530324052920397887 Mon Jul 6 11:27:00 2026 A3: -9643185058009673155067 Mon Jul 6 11:27:00 2026 A4: -75078431105916 Mon Jul 6 11:27:00 2026 A5: 1570800 Mon Jul 6 11:27:00 2026 skew 38705760.61, size 1.426e-17, alpha -7.705, combined = 8.842e-14 rroots = 3 Mon Jul 6 11:27:00 2026 Mon Jul 6 11:27:00 2026 commencing linear algebra Mon Jul 6 11:27:00 2026 using VBITS=256 Mon Jul 6 11:27:00 2026 skipping matrix build Mon Jul 6 11:27:00 2026 initialized process (0,0) of 1 x 1 grid Mon Jul 6 11:27:09 2026 matrix starts at (0, 0) Mon Jul 6 11:27:11 2026 matrix is 16217416 x 16217593 (7707.5 MB) with weight 2370893390 (146.19/col) Mon Jul 6 11:27:11 2026 sparse part has weight 1825873599 (112.59/col) Mon Jul 6 11:27:11 2026 saving the first 240 matrix rows for later Mon Jul 6 11:27:14 2026 matrix includes 256 packed rows Mon Jul 6 11:27:20 2026 matrix is 16217176 x 16217593 (7020.0 MB) with weight 1684292231 (103.86/col) Mon Jul 6 11:27:20 2026 sparse part has weight 1580775534 (97.47/col) Mon Jul 6 11:27:20 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Mon Jul 6 11:27:56 2026 commencing Lanczos iteration (64 threads) Mon Jul 6 11:27:56 2026 memory use: 10119.6 MB Mon Jul 6 11:30:22 2026 linear algebra at 0.2%, ETA 20h59m Mon Jul 6 11:33:44 2026 checking every 10000 dimensions, checkpointing every 810000 dimensions Tue Jul 7 07:23:06 2026 lanczos halted after 63537 iterations (dim = 16217174) Tue Jul 7 07:25:34 2026 recovered 31 nontrivial dependencies Tue Jul 7 07:25:39 2026 BLanczosTime: 71919 Tue Jul 7 07:25:39 2026 Tue Jul 7 07:25:39 2026 commencing square root phase Tue Jul 7 07:25:39 2026 handling dependencies 1 to 64 Tue Jul 7 07:25:39 2026 reading relations for dependency 1 Tue Jul 7 07:25:43 2026 read 8107224 cycles Tue Jul 7 07:26:24 2026 cycles contain 30370306 unique relations Tue Jul 7 07:33:40 2026 read 30370306 relations Tue Jul 7 07:39:37 2026 multiplying 30370306 relations Tue Jul 7 07:46:54 2026 multiply complete, coefficients have about 1807.06 million bits Tue Jul 7 07:47:04 2026 initial square root is modulo 127640323 Tue Jul 7 08:13:34 2026 GCD is N, no factor found Tue Jul 7 08:13:34 2026 reading relations for dependency 2 Tue Jul 7 08:13:38 2026 read 8110384 cycles Tue Jul 7 08:14:16 2026 cycles contain 30379050 unique relations Tue Jul 7 08:21:32 2026 read 30379050 relations Tue Jul 7 08:27:01 2026 multiplying 30379050 relations Tue Jul 7 08:33:40 2026 multiply complete, coefficients have about 1807.57 million bits Tue Jul 7 08:33:49 2026 initial square root is modulo 128309911 Tue Jul 7 09:00:34 2026 GCD is 1, no factor found Tue Jul 7 09:00:34 2026 reading relations for dependency 3 Tue Jul 7 09:00:38 2026 read 8109003 cycles Tue Jul 7 09:01:23 2026 cycles contain 30372826 unique relations Tue Jul 7 09:08:45 2026 read 30372826 relations Tue Jul 7 09:15:17 2026 multiplying 30372826 relations Tue Jul 7 09:22:03 2026 multiply complete, coefficients have about 1807.20 million bits Tue Jul 7 09:22:12 2026 initial square root is modulo 127822693 Tue Jul 7 09:48:55 2026 sqrtTime: 8596 Tue Jul 7 09:48:55 2026 p63 factor: 809387090250852545182214206565264902234164995271835626248367587 Tue Jul 7 09:48:55 2026 p117 factor: 317957147723638279158610819548417640861999996523943761036009627167441863351406573800089742386286703879879270693314391 Tue Jul 7 09:48:55 2026 elapsed time 22:21:57
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