Fri Oct 9 15:02:19 2020 Fri Oct 9 15:02:19 2020 Fri Oct 9 15:02:19 2020 Msieve v. 1.54 (SVN 1034) Fri Oct 9 15:02:19 2020 random seeds: 7dd61f01 5920ee88 Fri Oct 9 15:02:19 2020 factoring 68423544642699068666660722658578585739778701040501239366410260033128453974246282171203196958199390763793606531696477868701497644829767439070008488861290359304528140553156651329442171 (182 digits) Fri Oct 9 15:02:19 2020 searching for 15-digit factors Fri Oct 9 15:02:19 2020 commencing number field sieve (182-digit input) Fri Oct 9 15:02:19 2020 R0: 213950272706703123083784878253936767578125 Fri Oct 9 15:02:19 2020 R1: 1 Fri Oct 9 15:02:19 2020 A0: -1 Fri Oct 9 15:02:19 2020 A1: 0 Fri Oct 9 15:02:19 2020 A2: 0 Fri Oct 9 15:02:19 2020 A3: 0 Fri Oct 9 15:02:19 2020 A4: 0 Fri Oct 9 15:02:19 2020 A5: 0 Fri Oct 9 15:02:19 2020 A6: 45 Fri Oct 9 15:02:19 2020 skew 0.53, size 2.770e-12, alpha 0.936, combined = 2.464e-13 rroots = 2 Fri Oct 9 15:02:19 2020 Fri Oct 9 15:02:19 2020 commencing relation filtering Fri Oct 9 15:02:19 2020 setting target matrix density to 130.0 Fri Oct 9 15:02:19 2020 estimated available RAM is 32067.9 MB Fri Oct 9 15:02:19 2020 commencing duplicate removal, pass 1 <1845 errors> Fri Oct 9 15:23:49 2020 skipped 1469 relations with b > 2^32 Fri Oct 9 15:23:49 2020 skipped 907 relations with composite factors Fri Oct 9 15:23:49 2020 found 35315050 hash collisions in 234197035 relations Fri Oct 9 15:23:59 2020 added 1218706 free relations Fri Oct 9 15:23:59 2020 commencing duplicate removal, pass 2 Fri Oct 9 15:25:07 2020 found 30191612 duplicates and 205224129 unique relations Fri Oct 9 15:25:07 2020 memory use: 1321.5 MB Fri Oct 9 15:25:07 2020 reading ideals above 129957888 Fri Oct 9 15:25:07 2020 commencing singleton removal, initial pass Fri Oct 9 15:38:12 2020 memory use: 3012.0 MB Fri Oct 9 15:38:12 2020 reading all ideals from disk Fri Oct 9 15:38:14 2020 memory use: 3547.1 MB Fri Oct 9 15:38:20 2020 commencing in-memory singleton removal Fri Oct 9 15:38:25 2020 begin with 205224129 relations and 163545373 unique ideals Fri Oct 9 15:39:25 2020 reduce to 141320279 relations and 93755952 ideals in 12 passes Fri Oct 9 15:39:25 2020 max relations containing the same ideal: 51 Fri Oct 9 15:39:29 2020 reading ideals above 720000 Fri Oct 9 15:39:29 2020 commencing singleton removal, initial pass Fri Oct 9 15:51:30 2020 memory use: 3012.0 MB Fri Oct 9 15:51:31 2020 reading all ideals from disk Fri Oct 9 15:51:36 2020 memory use: 5696.8 MB Fri Oct 9 15:51:45 2020 keeping 107748868 ideals with weight <= 200, target excess is 756830 Fri Oct 9 15:51:56 2020 commencing in-memory singleton removal Fri Oct 9 15:52:04 2020 begin with 141320279 relations and 107748868 unique ideals Fri Oct 9 15:52:41 2020 reduce to 141319741 relations and 107748330 ideals in 5 passes Fri Oct 9 15:52:41 2020 max relations containing the same ideal: 200 Fri Oct 9 15:53:24 2020 removing 10070668 relations and 8070668 ideals in 2000000 cliques Fri Oct 9 15:53:26 2020 commencing in-memory singleton removal Fri Oct 9 15:53:33 2020 begin with 131249073 relations and 107748330 unique ideals Fri Oct 9 15:54:28 2020 reduce to 130725259 relations and 99144689 ideals in 8 passes Fri Oct 9 15:54:28 2020 max relations containing the same ideal: 197 Fri Oct 9 15:55:08 2020 removing 7679054 relations and 5679054 ideals in 2000000 cliques Fri Oct 9 15:55:10 2020 commencing in-memory singleton removal Fri Oct 9 15:55:17 2020 begin with 123046205 relations and 99144689 unique ideals Fri Oct 9 15:56:01 2020 reduce to 122692594 relations and 93106389 ideals in 7 passes Fri Oct 9 15:56:01 2020 max relations containing the same ideal: 195 Fri Oct 9 15:56:39 2020 removing 6985366 relations and 4985366 ideals in 2000000 cliques Fri Oct 9 15:56:41 2020 commencing in-memory singleton removal Fri Oct 9 15:56:47 2020 begin with 115707228 relations and 93106389 unique ideals Fri Oct 9 15:57:29 2020 reduce to 115399125 relations and 87808098 ideals in 7 passes Fri Oct 9 15:57:29 2020 max relations containing the same ideal: 186 Fri Oct 9 15:58:05 2020 removing 6621956 relations and 4621956 ideals in 2000000 cliques Fri Oct 9 15:58:07 2020 commencing in-memory singleton removal Fri Oct 9 15:58:12 2020 begin with 108777169 relations and 87808098 unique ideals Fri Oct 9 15:58:52 2020 reduce to 108491426 relations and 82895854 ideals in 7 passes Fri Oct 9 15:58:52 2020 max relations containing the same ideal: 181 Fri Oct 9 15:59:25 2020 removing 6400660 relations and 4400660 ideals in 2000000 cliques Fri Oct 9 15:59:27 2020 commencing in-memory singleton removal Fri Oct 9 15:59:32 2020 begin with 102090766 relations and 82895854 unique ideals Fri Oct 9 16:00:04 2020 reduce to 101814993 relations and 78214864 ideals in 6 passes Fri Oct 9 16:00:04 2020 max relations containing the same ideal: 172 Fri Oct 9 16:00:36 2020 removing 6247165 relations and 4247165 ideals in 2000000 cliques Fri Oct 9 16:00:38 2020 commencing in-memory singleton removal Fri Oct 9 16:00:43 2020 begin with 95567828 relations and 78214864 unique ideals Fri Oct 9 16:01:12 2020 reduce to 95295320 relations and 73690471 ideals in 6 passes Fri Oct 9 16:01:12 2020 max relations containing the same ideal: 164 Fri Oct 9 16:01:42 2020 removing 6135719 relations and 4135719 ideals in 2000000 cliques Fri Oct 9 16:01:44 2020 commencing in-memory singleton removal Fri Oct 9 16:01:48 2020 begin with 89159601 relations and 73690471 unique ideals Fri Oct 9 16:02:16 2020 reduce to 88885375 relations and 69275473 ideals in 6 passes Fri Oct 9 16:02:16 2020 max relations containing the same ideal: 158 Fri Oct 9 16:02:44 2020 removing 6052842 relations and 4052842 ideals in 2000000 cliques Fri Oct 9 16:02:45 2020 commencing in-memory singleton removal Fri Oct 9 16:02:50 2020 begin with 82832533 relations and 69275473 unique ideals Fri Oct 9 16:03:15 2020 reduce to 82554159 relations and 64938639 ideals in 6 passes Fri Oct 9 16:03:15 2020 max relations containing the same ideal: 152 Fri Oct 9 16:03:41 2020 removing 5995569 relations and 3995569 ideals in 2000000 cliques Fri Oct 9 16:03:42 2020 commencing in-memory singleton removal Fri Oct 9 16:03:46 2020 begin with 76558590 relations and 64938639 unique ideals Fri Oct 9 16:04:14 2020 reduce to 76269679 relations and 60647825 ideals in 7 passes Fri Oct 9 16:04:14 2020 max relations containing the same ideal: 147 Fri Oct 9 16:04:38 2020 removing 5953167 relations and 3953167 ideals in 2000000 cliques Fri Oct 9 16:04:39 2020 commencing in-memory singleton removal Fri Oct 9 16:04:43 2020 begin with 70316512 relations and 60647825 unique ideals Fri Oct 9 16:05:08 2020 reduce to 70011769 relations and 56383043 ideals in 7 passes Fri Oct 9 16:05:08 2020 max relations containing the same ideal: 142 Fri Oct 9 16:05:30 2020 removing 5928938 relations and 3928938 ideals in 2000000 cliques Fri Oct 9 16:05:32 2020 commencing in-memory singleton removal Fri Oct 9 16:05:35 2020 begin with 64082831 relations and 56383043 unique ideals Fri Oct 9 16:05:58 2020 reduce to 63760127 relations and 52123449 ideals in 7 passes Fri Oct 9 16:05:58 2020 max relations containing the same ideal: 128 Fri Oct 9 16:06:18 2020 removing 5921556 relations and 3921556 ideals in 2000000 cliques Fri Oct 9 16:06:19 2020 commencing in-memory singleton removal Fri Oct 9 16:06:22 2020 begin with 57838571 relations and 52123449 unique ideals Fri Oct 9 16:06:40 2020 reduce to 57491690 relations and 47845398 ideals in 6 passes Fri Oct 9 16:06:40 2020 max relations containing the same ideal: 122 Fri Oct 9 16:06:58 2020 removing 5923043 relations and 3923043 ideals in 2000000 cliques Fri Oct 9 16:07:00 2020 commencing in-memory singleton removal Fri Oct 9 16:07:02 2020 begin with 51568647 relations and 47845398 unique ideals Fri Oct 9 16:07:20 2020 reduce to 51187697 relations and 43530109 ideals in 7 passes Fri Oct 9 16:07:20 2020 max relations containing the same ideal: 114 Fri Oct 9 16:07:37 2020 removing 5933982 relations and 3933982 ideals in 2000000 cliques Fri Oct 9 16:07:38 2020 commencing in-memory singleton removal Fri Oct 9 16:07:40 2020 begin with 45253715 relations and 43530109 unique ideals Fri Oct 9 16:07:54 2020 reduce to 44830638 relations and 39159142 ideals in 6 passes Fri Oct 9 16:07:54 2020 max relations containing the same ideal: 102 Fri Oct 9 16:08:09 2020 removing 5955117 relations and 3955117 ideals in 2000000 cliques Fri Oct 9 16:08:10 2020 commencing in-memory singleton removal Fri Oct 9 16:08:12 2020 begin with 38875521 relations and 39159142 unique ideals Fri Oct 9 16:08:27 2020 reduce to 38395585 relations and 34705963 ideals in 8 passes Fri Oct 9 16:08:27 2020 max relations containing the same ideal: 90 Fri Oct 9 16:08:40 2020 removing 5981911 relations and 3981911 ideals in 2000000 cliques Fri Oct 9 16:08:41 2020 commencing in-memory singleton removal Fri Oct 9 16:08:42 2020 begin with 32413674 relations and 34705963 unique ideals Fri Oct 9 16:08:53 2020 reduce to 31848299 relations and 30134443 ideals in 7 passes Fri Oct 9 16:08:53 2020 max relations containing the same ideal: 80 Fri Oct 9 16:09:04 2020 removing 2946246 relations and 2110313 ideals in 835933 cliques Fri Oct 9 16:09:05 2020 commencing in-memory singleton removal Fri Oct 9 16:09:06 2020 begin with 28902053 relations and 30134443 unique ideals Fri Oct 9 16:09:15 2020 reduce to 28722567 relations and 27840648 ideals in 6 passes Fri Oct 9 16:09:15 2020 max relations containing the same ideal: 74 Fri Oct 9 16:09:27 2020 relations with 0 large ideals: 25607 Fri Oct 9 16:09:27 2020 relations with 1 large ideals: 8484 Fri Oct 9 16:09:27 2020 relations with 2 large ideals: 120317 Fri Oct 9 16:09:27 2020 relations with 3 large ideals: 797735 Fri Oct 9 16:09:27 2020 relations with 4 large ideals: 2805809 Fri Oct 9 16:09:27 2020 relations with 5 large ideals: 5855504 Fri Oct 9 16:09:27 2020 relations with 6 large ideals: 7614050 Fri Oct 9 16:09:27 2020 relations with 7+ large ideals: 11495061 Fri Oct 9 16:09:27 2020 commencing 2-way merge Fri Oct 9 16:09:41 2020 reduce to 19320528 relation sets and 18438609 unique ideals Fri Oct 9 16:09:41 2020 commencing full merge Fri Oct 9 16:15:48 2020 memory use: 2657.5 MB Fri Oct 9 16:15:50 2020 found 8763933 cycles, need 8722809 Fri Oct 9 16:15:51 2020 weight of 8722809 cycles is about 1134584393 (130.07/cycle) Fri Oct 9 16:15:51 2020 distribution of cycle lengths: Fri Oct 9 16:15:51 2020 1 relations: 227222 Fri Oct 9 16:15:51 2020 2 relations: 407818 Fri Oct 9 16:15:51 2020 3 relations: 524621 Fri Oct 9 16:15:51 2020 4 relations: 580629 Fri Oct 9 16:15:51 2020 5 relations: 619670 Fri Oct 9 16:15:51 2020 6 relations: 633575 Fri Oct 9 16:15:51 2020 7 relations: 636409 Fri Oct 9 16:15:51 2020 8 relations: 621690 Fri Oct 9 16:15:51 2020 9 relations: 595763 Fri Oct 9 16:15:51 2020 10+ relations: 3875412 Fri Oct 9 16:15:51 2020 heaviest cycle: 28 relations Fri Oct 9 16:15:53 2020 commencing cycle optimization Fri Oct 9 16:16:08 2020 start with 82880878 relations Fri Oct 9 16:18:37 2020 pruned 4603013 relations Fri Oct 9 16:18:37 2020 memory use: 2049.4 MB Fri Oct 9 16:18:37 2020 distribution of cycle lengths: Fri Oct 9 16:18:37 2020 1 relations: 227222 Fri Oct 9 16:18:37 2020 2 relations: 418979 Fri Oct 9 16:18:37 2020 3 relations: 549125 Fri Oct 9 16:18:37 2020 4 relations: 609895 Fri Oct 9 16:18:37 2020 5 relations: 657190 Fri Oct 9 16:18:37 2020 6 relations: 673226 Fri Oct 9 16:18:37 2020 7 relations: 680730 Fri Oct 9 16:18:37 2020 8 relations: 663173 Fri Oct 9 16:18:37 2020 9 relations: 634224 Fri Oct 9 16:18:37 2020 10+ relations: 3609045 Fri Oct 9 16:18:37 2020 heaviest cycle: 28 relations Fri Oct 9 16:18:47 2020 RelProcTime: 4588 Fri Oct 9 16:18:47 2020 elapsed time 01:16:28 Fri Oct 9 16:18:57 2020 Fri Oct 9 16:18:57 2020 Fri Oct 9 16:18:57 2020 Msieve v. 1.54 (SVN 1034) Fri Oct 9 16:18:57 2020 random seeds: cffe2a92 3a2cff34 Fri Oct 9 16:18:57 2020 factoring 68423544642699068666660722658578585739778701040501239366410260033128453974246282171203196958199390763793606531696477868701497644829767439070008488861290359304528140553156651329442171 (182 digits) Fri Oct 9 16:18:58 2020 searching for 15-digit factors Fri Oct 9 16:18:58 2020 commencing number field sieve (182-digit input) Fri Oct 9 16:18:58 2020 R0: 213950272706703123083784878253936767578125 Fri Oct 9 16:18:58 2020 R1: 1 Fri Oct 9 16:18:58 2020 A0: -1 Fri Oct 9 16:18:58 2020 A1: 0 Fri Oct 9 16:18:58 2020 A2: 0 Fri Oct 9 16:18:58 2020 A3: 0 Fri Oct 9 16:18:58 2020 A4: 0 Fri Oct 9 16:18:58 2020 A5: 0 Fri Oct 9 16:18:58 2020 A6: 45 Fri Oct 9 16:18:58 2020 skew 0.53, size 2.770e-12, alpha 0.936, combined = 2.464e-13 rroots = 2 Fri Oct 9 16:18:58 2020 Fri Oct 9 16:18:58 2020 commencing linear algebra Fri Oct 9 16:18:58 2020 read 8722809 cycles Fri Oct 9 16:19:11 2020 cycles contain 28306360 unique relations Fri Oct 9 16:20:52 2020 read 28306360 relations Fri Oct 9 16:21:48 2020 using 20 quadratic characters above 4294917295 Fri Oct 9 16:23:05 2020 building initial matrix Fri Oct 9 16:27:41 2020 memory use: 3606.6 MB Fri Oct 9 16:27:44 2020 read 8722809 cycles Fri Oct 9 16:27:45 2020 matrix is 8722632 x 8722809 (4353.9 MB) with weight 1242199547 (142.41/col) Fri Oct 9 16:27:45 2020 sparse part has weight 1045395897 (119.85/col) Fri Oct 9 16:29:01 2020 filtering completed in 2 passes Fri Oct 9 16:29:02 2020 matrix is 8722572 x 8722749 (4353.9 MB) with weight 1242197365 (142.41/col) Fri Oct 9 16:29:02 2020 sparse part has weight 1045395171 (119.85/col) Fri Oct 9 16:29:18 2020 matrix starts at (0, 0) Fri Oct 9 16:29:18 2020 matrix is 8722572 x 8722749 (4353.9 MB) with weight 1242197365 (142.41/col) Fri Oct 9 16:29:18 2020 sparse part has weight 1045395171 (119.85/col) Fri Oct 9 16:29:18 2020 saving the first 48 matrix rows for later Fri Oct 9 16:29:20 2020 matrix includes 64 packed rows Fri Oct 9 16:29:21 2020 matrix is 8722524 x 8722749 (4169.4 MB) with weight 1078835552 (123.68/col) Fri Oct 9 16:29:21 2020 sparse part has weight 1005752843 (115.30/col) Fri Oct 9 16:29:21 2020 using block size 8192 and superblock size 3145728 for processor cache size 32768 kB Fri Oct 9 16:29:48 2020 commencing Lanczos iteration (16 threads) Fri Oct 9 16:29:48 2020 memory use: 3977.1 MB Fri Oct 9 16:30:12 2020 linear algebra at 0.0%, ETA 36h46m Fri Oct 9 16:30:20 2020 checkpointing every 240000 dimensions Sat Oct 10 00:52:18 2020 lanczos halted after 32984 iterations (dim = 2085703) Sat Oct 10 00:52:18 2020 BLanczosTime: 30800 Sat Oct 10 00:52:18 2020 elapsed time 08:33:21 Sat Oct 10 07:29:56 2020 Sat Oct 10 07:29:56 2020 Sat Oct 10 07:29:56 2020 Msieve v. 1.54 (SVN 1034) Sat Oct 10 07:29:56 2020 random seeds: 3133bc51 84530dc0 Sat Oct 10 07:29:56 2020 factoring 68423544642699068666660722658578585739778701040501239366410260033128453974246282171203196958199390763793606531696477868701497644829767439070008488861290359304528140553156651329442171 (182 digits) Sat Oct 10 07:29:56 2020 searching for 15-digit factors Sat Oct 10 07:29:57 2020 commencing number field sieve (182-digit input) Sat Oct 10 07:29:57 2020 R0: 213950272706703123083784878253936767578125 Sat Oct 10 07:29:57 2020 R1: 1 Sat Oct 10 07:29:57 2020 A0: -1 Sat Oct 10 07:29:57 2020 A1: 0 Sat Oct 10 07:29:57 2020 A2: 0 Sat Oct 10 07:29:57 2020 A3: 0 Sat Oct 10 07:29:57 2020 A4: 0 Sat Oct 10 07:29:57 2020 A5: 0 Sat Oct 10 07:29:57 2020 A6: 45 Sat Oct 10 07:29:57 2020 skew 0.53, size 2.770e-12, alpha 0.936, combined = 2.464e-13 rroots = 2 Sat Oct 10 07:29:57 2020 Sat Oct 10 07:29:57 2020 commencing linear algebra Sat Oct 10 07:30:06 2020 matrix starts at (0, 0) Sat Oct 10 07:30:07 2020 matrix is 8722572 x 8722749 (4353.9 MB) with weight 1242197365 (142.41/col) Sat Oct 10 07:30:07 2020 sparse part has weight 1045395171 (119.85/col) Sat Oct 10 07:30:07 2020 saving the first 48 matrix rows for later Sat Oct 10 07:30:08 2020 matrix includes 64 packed rows Sat Oct 10 07:30:09 2020 matrix is 8722524 x 8722749 (4169.4 MB) with weight 1078835552 (123.68/col) Sat Oct 10 07:30:09 2020 sparse part has weight 1005752843 (115.30/col) Sat Oct 10 07:30:09 2020 using block size 8192 and superblock size 3145728 for processor cache size 32768 kB Sat Oct 10 07:30:35 2020 commencing Lanczos iteration (16 threads) Sat Oct 10 07:30:35 2020 memory use: 3977.1 MB Sat Oct 10 07:30:36 2020 restarting at iteration 32984 (dim = 2085703) Sat Oct 10 07:31:00 2020 linear algebra at 23.9%, ETA 29h16m Sat Oct 10 07:31:14 2020 checkpointing every 230000 dimensions Sat Oct 10 14:16:58 2020 lanczos halted after 56832 iterations (dim = 3593605) Sat Oct 10 14:16:58 2020 BLanczosTime: 24421 Sat Oct 10 14:16:58 2020 elapsed time 06:47:02 Sat Oct 10 19:32:14 2020 Sat Oct 10 19:32:14 2020 Sat Oct 10 19:32:14 2020 Msieve v. 1.54 (SVN 1034) Sat Oct 10 19:32:14 2020 random seeds: f8efdfee bdf9b9d1 Sat Oct 10 19:32:14 2020 factoring 68423544642699068666660722658578585739778701040501239366410260033128453974246282171203196958199390763793606531696477868701497644829767439070008488861290359304528140553156651329442171 (182 digits) Sat Oct 10 19:32:15 2020 searching for 15-digit factors Sat Oct 10 19:32:15 2020 commencing number field sieve (182-digit input) Sat Oct 10 19:32:15 2020 R0: 213950272706703123083784878253936767578125 Sat Oct 10 19:32:15 2020 R1: 1 Sat Oct 10 19:32:15 2020 A0: -1 Sat Oct 10 19:32:15 2020 A1: 0 Sat Oct 10 19:32:15 2020 A2: 0 Sat Oct 10 19:32:15 2020 A3: 0 Sat Oct 10 19:32:15 2020 A4: 0 Sat Oct 10 19:32:15 2020 A5: 0 Sat Oct 10 19:32:15 2020 A6: 45 Sat Oct 10 19:32:15 2020 skew 0.53, size 2.770e-12, alpha 0.936, combined = 2.464e-13 rroots = 2 Sat Oct 10 19:32:15 2020 Sat Oct 10 19:32:15 2020 commencing linear algebra Sat Oct 10 19:32:17 2020 matrix starts at (0, 0) Sat Oct 10 19:32:17 2020 matrix is 8722572 x 8722749 (4353.9 MB) with weight 1242197365 (142.41/col) Sat Oct 10 19:32:17 2020 sparse part has weight 1045395171 (119.85/col) Sat Oct 10 19:32:17 2020 saving the first 48 matrix rows for later Sat Oct 10 19:32:19 2020 matrix includes 64 packed rows Sat Oct 10 19:32:20 2020 matrix is 8722524 x 8722749 (4169.4 MB) with weight 1078835552 (123.68/col) Sat Oct 10 19:32:20 2020 sparse part has weight 1005752843 (115.30/col) Sat Oct 10 19:32:20 2020 using block size 8192 and superblock size 3145728 for processor cache size 32768 kB Sat Oct 10 19:32:47 2020 commencing Lanczos iteration (16 threads) Sat Oct 10 19:32:47 2020 memory use: 3977.1 MB Sat Oct 10 19:32:47 2020 restarting at iteration 56832 (dim = 3593605) Sat Oct 10 19:32:54 2020 checkpointing every 230000 dimensions Sat Oct 10 19:33:10 2020 linear algebra at 41.2%, ETA 21h36m Sun Oct 11 01:56:41 2020 lanczos halted after 81208 iterations (dim = 5134964) Sun Oct 11 01:56:41 2020 BLanczosTime: 23066 Sun Oct 11 01:56:41 2020 elapsed time 06:24:27 Sun Oct 11 11:53:32 2020 Sun Oct 11 11:53:32 2020 Sun Oct 11 11:53:32 2020 Msieve v. 1.54 (SVN 1034) Sun Oct 11 11:53:32 2020 random seeds: cd8b2d3b 693bca1c Sun Oct 11 11:53:32 2020 factoring 68423544642699068666660722658578585739778701040501239366410260033128453974246282171203196958199390763793606531696477868701497644829767439070008488861290359304528140553156651329442171 (182 digits) Sun Oct 11 11:53:33 2020 searching for 15-digit factors Sun Oct 11 11:53:33 2020 commencing number field sieve (182-digit input) Sun Oct 11 11:53:33 2020 R0: 213950272706703123083784878253936767578125 Sun Oct 11 11:53:33 2020 R1: 1 Sun Oct 11 11:53:33 2020 A0: -1 Sun Oct 11 11:53:33 2020 A1: 0 Sun Oct 11 11:53:33 2020 A2: 0 Sun Oct 11 11:53:33 2020 A3: 0 Sun Oct 11 11:53:33 2020 A4: 0 Sun Oct 11 11:53:33 2020 A5: 0 Sun Oct 11 11:53:33 2020 A6: 45 Sun Oct 11 11:53:33 2020 skew 0.53, size 2.770e-12, alpha 0.936, combined = 2.464e-13 rroots = 2 Sun Oct 11 11:53:33 2020 Sun Oct 11 11:53:33 2020 commencing linear algebra Sun Oct 11 11:53:43 2020 matrix starts at (0, 0) Sun Oct 11 11:53:44 2020 matrix is 8722572 x 8722749 (4353.9 MB) with weight 1242197365 (142.41/col) Sun Oct 11 11:53:44 2020 sparse part has weight 1045395171 (119.85/col) Sun Oct 11 11:53:44 2020 saving the first 48 matrix rows for later Sun Oct 11 11:53:45 2020 matrix includes 64 packed rows Sun Oct 11 11:53:46 2020 matrix is 8722524 x 8722749 (4169.4 MB) with weight 1078835552 (123.68/col) Sun Oct 11 11:53:46 2020 sparse part has weight 1005752843 (115.30/col) Sun Oct 11 11:53:46 2020 using block size 8192 and superblock size 3145728 for processor cache size 32768 kB Sun Oct 11 11:54:13 2020 commencing Lanczos iteration (16 threads) Sun Oct 11 11:54:13 2020 memory use: 3977.1 MB Sun Oct 11 11:54:14 2020 restarting at iteration 81208 (dim = 5134964) Sun Oct 11 11:54:29 2020 checkpointing every 260000 dimensions Sun Oct 11 11:54:35 2020 linear algebra at 58.9%, ETA 13h45m Sun Oct 11 21:09:29 2020 lanczos halted after 117858 iterations (dim = 7452628) Sun Oct 11 21:09:29 2020 BLanczosTime: 33356 Sun Oct 11 21:09:29 2020 elapsed time 09:15:57 Sun Oct 11 21:16:58 2020 Sun Oct 11 21:16:58 2020 Sun Oct 11 21:16:58 2020 Msieve v. 1.54 (SVN 1034) Sun Oct 11 21:16:58 2020 random seeds: 44f44f25 820004a4 Sun Oct 11 21:16:58 2020 factoring 68423544642699068666660722658578585739778701040501239366410260033128453974246282171203196958199390763793606531696477868701497644829767439070008488861290359304528140553156651329442171 (182 digits) Sun Oct 11 21:16:58 2020 searching for 15-digit factors Sun Oct 11 21:16:59 2020 commencing number field sieve (182-digit input) Sun Oct 11 21:16:59 2020 R0: 213950272706703123083784878253936767578125 Sun Oct 11 21:16:59 2020 R1: 1 Sun Oct 11 21:16:59 2020 A0: -1 Sun Oct 11 21:16:59 2020 A1: 0 Sun Oct 11 21:16:59 2020 A2: 0 Sun Oct 11 21:16:59 2020 A3: 0 Sun Oct 11 21:16:59 2020 A4: 0 Sun Oct 11 21:16:59 2020 A5: 0 Sun Oct 11 21:16:59 2020 A6: 45 Sun Oct 11 21:16:59 2020 skew 0.53, size 2.770e-12, alpha 0.936, combined = 2.464e-13 rroots = 2 Sun Oct 11 21:16:59 2020 Sun Oct 11 21:16:59 2020 commencing linear algebra Sun Oct 11 21:17:00 2020 matrix starts at (0, 0) Sun Oct 11 21:17:01 2020 matrix is 8722572 x 8722749 (4353.9 MB) with weight 1242197365 (142.41/col) Sun Oct 11 21:17:01 2020 sparse part has weight 1045395171 (119.85/col) Sun Oct 11 21:17:01 2020 saving the first 48 matrix rows for later Sun Oct 11 21:17:02 2020 matrix includes 64 packed rows Sun Oct 11 21:17:03 2020 matrix is 8722524 x 8722749 (4169.4 MB) with weight 1078835552 (123.68/col) Sun Oct 11 21:17:03 2020 sparse part has weight 1005752843 (115.30/col) Sun Oct 11 21:17:03 2020 using block size 8192 and superblock size 3145728 for processor cache size 32768 kB Sun Oct 11 21:17:30 2020 commencing Lanczos iteration (16 threads) Sun Oct 11 21:17:30 2020 memory use: 3977.1 MB Sun Oct 11 21:17:30 2020 restarting at iteration 117858 (dim = 7452628) Sun Oct 11 21:17:49 2020 checkpointing every 270000 dimensions Sun Oct 11 21:17:51 2020 linear algebra at 85.5%, ETA 4h52m Mon Oct 12 01:54:23 2020 lanczos halted after 136872 iterations (dim = 8655113) Mon Oct 12 01:54:24 2020 BLanczosTime: 16645 Mon Oct 12 01:54:24 2020 elapsed time 04:37:26 Mon Oct 12 09:32:37 2020 Mon Oct 12 09:32:37 2020 Mon Oct 12 09:32:37 2020 Msieve v. 1.54 (SVN 1034) Mon Oct 12 09:32:37 2020 random seeds: a0571d8d 2a6338a7 Mon Oct 12 09:32:37 2020 factoring 68423544642699068666660722658578585739778701040501239366410260033128453974246282171203196958199390763793606531696477868701497644829767439070008488861290359304528140553156651329442171 (182 digits) Mon Oct 12 09:32:37 2020 searching for 15-digit factors Mon Oct 12 09:32:38 2020 commencing number field sieve (182-digit input) Mon Oct 12 09:32:38 2020 R0: 213950272706703123083784878253936767578125 Mon Oct 12 09:32:38 2020 R1: 1 Mon Oct 12 09:32:38 2020 A0: -1 Mon Oct 12 09:32:38 2020 A1: 0 Mon Oct 12 09:32:38 2020 A2: 0 Mon Oct 12 09:32:38 2020 A3: 0 Mon Oct 12 09:32:38 2020 A4: 0 Mon Oct 12 09:32:38 2020 A5: 0 Mon Oct 12 09:32:38 2020 A6: 45 Mon Oct 12 09:32:38 2020 skew 0.53, size 2.770e-12, alpha 0.936, combined = 2.464e-13 rroots = 2 Mon Oct 12 09:32:38 2020 Mon Oct 12 09:32:38 2020 commencing linear algebra Mon Oct 12 09:32:48 2020 matrix starts at (0, 0) Mon Oct 12 09:32:48 2020 matrix is 8722572 x 8722749 (4353.9 MB) with weight 1242197365 (142.41/col) Mon Oct 12 09:32:48 2020 sparse part has weight 1045395171 (119.85/col) Mon Oct 12 09:32:48 2020 saving the first 48 matrix rows for later Mon Oct 12 09:32:50 2020 matrix includes 64 packed rows Mon Oct 12 09:32:51 2020 matrix is 8722524 x 8722749 (4169.4 MB) with weight 1078835552 (123.68/col) Mon Oct 12 09:32:51 2020 sparse part has weight 1005752843 (115.30/col) Mon Oct 12 09:32:51 2020 using block size 8192 and superblock size 3145728 for processor cache size 32768 kB Mon Oct 12 09:33:17 2020 commencing Lanczos iteration (16 threads) Mon Oct 12 09:33:17 2020 memory use: 3977.1 MB Mon Oct 12 09:33:17 2020 restarting at iteration 136872 (dim = 8655113) Mon Oct 12 09:33:31 2020 checkpointing every 230000 dimensions Mon Oct 12 09:33:42 2020 linear algebra at 99.2%, ETA 0h18m Mon Oct 12 09:51:19 2020 lanczos halted after 137940 iterations (dim = 8722524) Mon Oct 12 09:51:25 2020 recovered 40 nontrivial dependencies Mon Oct 12 09:51:25 2020 BLanczosTime: 1127 Mon Oct 12 09:51:25 2020 elapsed time 00:18:48 Mon Oct 12 09:51:37 2020 Mon Oct 12 09:51:37 2020 Mon Oct 12 09:51:37 2020 Msieve v. 1.54 (SVN 1034) Mon Oct 12 09:51:37 2020 random seeds: a99811dd 6d894956 Mon Oct 12 09:51:37 2020 factoring 68423544642699068666660722658578585739778701040501239366410260033128453974246282171203196958199390763793606531696477868701497644829767439070008488861290359304528140553156651329442171 (182 digits) Mon Oct 12 09:51:38 2020 searching for 15-digit factors Mon Oct 12 09:51:38 2020 commencing number field sieve (182-digit input) Mon Oct 12 09:51:38 2020 R0: 213950272706703123083784878253936767578125 Mon Oct 12 09:51:38 2020 R1: 1 Mon Oct 12 09:51:38 2020 A0: -1 Mon Oct 12 09:51:38 2020 A1: 0 Mon Oct 12 09:51:38 2020 A2: 0 Mon Oct 12 09:51:38 2020 A3: 0 Mon Oct 12 09:51:38 2020 A4: 0 Mon Oct 12 09:51:38 2020 A5: 0 Mon Oct 12 09:51:38 2020 A6: 45 Mon Oct 12 09:51:38 2020 skew 0.53, size 2.770e-12, alpha 0.936, combined = 2.464e-13 rroots = 2 Mon Oct 12 09:51:38 2020 Mon Oct 12 09:51:38 2020 commencing square root phase Mon Oct 12 09:51:38 2020 reading relations for dependency 1 Mon Oct 12 09:51:39 2020 read 4360072 cycles Mon Oct 12 09:51:45 2020 cycles contain 14148404 unique relations Mon Oct 12 09:53:06 2020 read 14148404 relations Mon Oct 12 09:53:47 2020 multiplying 14148404 relations Mon Oct 12 10:00:15 2020 multiply complete, coefficients have about 437.63 million bits Mon Oct 12 10:00:17 2020 initial square root is modulo 71209063 Mon Oct 12 10:07:35 2020 sqrtTime: 957 Mon Oct 12 10:07:35 2020 p82 factor: 8333609684301502260065482359988445887380053452775916486741008483855806118032252769 Mon Oct 12 10:07:35 2020 p100 factor: 8210553077808817660641683814864623033993314973732496673187078167513741337455366179837738471320775259 Mon Oct 12 10:07:35 2020 elapsed time 00:15:58