Sun Jul 5 09:09:34 2020 Sun Jul 5 09:09:34 2020 Sun Jul 5 09:09:34 2020 Msieve v. 1.54 (SVN 1030) Sun Jul 5 09:09:34 2020 random seeds: 8ffa08e5 07a7dd8b Sun Jul 5 09:09:34 2020 factoring 3205257561921929805430788315180035657522331986474471901842991601654070021665553966864472555708849390333638831802816771979024652622600718469993826961654207509335216173613447032626102091989652438962019523093370881 (211 digits) Sun Jul 5 09:09:35 2020 no P-1/P+1/ECM available, skipping Sun Jul 5 09:09:35 2020 commencing number field sieve (211-digit input) Sun Jul 5 09:09:35 2020 R0: 51391938904067984658758758686519164141568 Sun Jul 5 09:09:35 2020 R1: 1 Sun Jul 5 09:09:35 2020 A0: 4 Sun Jul 5 09:09:35 2020 A1: 0 Sun Jul 5 09:09:35 2020 A2: 0 Sun Jul 5 09:09:35 2020 A3: 0 Sun Jul 5 09:09:35 2020 A4: 0 Sun Jul 5 09:09:35 2020 A5: 0 Sun Jul 5 09:09:35 2020 A6: 441 Sun Jul 5 09:09:35 2020 skew 0.46, size 2.807e-12, alpha 0.052, combined = 2.549e-13 rroots = 0 Sun Jul 5 09:09:35 2020 Sun Jul 5 09:09:35 2020 commencing relation filtering Sun Jul 5 09:09:35 2020 setting target matrix density to 120.0 Sun Jul 5 09:09:35 2020 estimated available RAM is 16046.7 MB Sun Jul 5 09:09:35 2020 commencing duplicate removal, pass 1 [ . . . skipped 23490 error -n reading relation nnn messages . . . ] [ 17378 error -1 ] [ 2 error -4 ] [ 382 error -5 ] [ 140 error -6 ] [ 286 error -9 ] [ 5169 error -11 ] [ 133 error -15 ] Sun Jul 5 09:49:34 2020 skipped 365 relations with b > 2^32 Sun Jul 5 09:49:34 2020 skipped 2078 relations with composite factors Sun Jul 5 09:49:34 2020 found 49759128 hash collisions in 245573470 relations Sun Jul 5 09:49:51 2020 added 1218555 free relations Sun Jul 5 09:49:51 2020 commencing duplicate removal, pass 2 Sun Jul 5 09:55:57 2020 found 49303078 duplicates and 197488947 unique relations Sun Jul 5 09:55:57 2020 memory use: 1321.5 MB Sun Jul 5 09:55:57 2020 reading ideals above 169934848 Sun Jul 5 09:55:57 2020 commencing singleton removal, initial pass Sun Jul 5 10:21:45 2020 memory use: 3012.0 MB Sun Jul 5 10:21:45 2020 reading all ideals from disk Sun Jul 5 10:21:49 2020 memory use: 3453.2 MB Sun Jul 5 10:21:59 2020 commencing in-memory singleton removal Sun Jul 5 10:22:08 2020 begin with 197488947 relations and 161740716 unique ideals Sun Jul 5 10:23:45 2020 reduce to 134149407 relations and 92472159 ideals in 13 passes Sun Jul 5 10:23:45 2020 max relations containing the same ideal: 54 Sun Jul 5 10:23:53 2020 reading ideals above 720000 Sun Jul 5 10:23:54 2020 commencing singleton removal, initial pass Sun Jul 5 10:50:06 2020 memory use: 3012.0 MB Sun Jul 5 10:50:07 2020 reading all ideals from disk Sun Jul 5 10:50:12 2020 memory use: 5313.4 MB Sun Jul 5 10:50:30 2020 keeping 110805059 ideals with weight <= 200, target excess is 663268 Sun Jul 5 10:50:56 2020 commencing in-memory singleton removal Sun Jul 5 10:51:11 2020 begin with 134149407 relations and 110805059 unique ideals Sun Jul 5 10:53:45 2020 reduce to 134146958 relations and 110802610 ideals in 7 passes Sun Jul 5 10:53:45 2020 max relations containing the same ideal: 200 Sun Jul 5 10:55:18 2020 removing 11122194 relations and 9122194 ideals in 2000000 cliques Sun Jul 5 10:55:23 2020 commencing in-memory singleton removal Sun Jul 5 10:55:36 2020 begin with 123024764 relations and 110802610 unique ideals Sun Jul 5 10:57:55 2020 reduce to 122257423 relations and 100897971 ideals in 8 passes Sun Jul 5 10:57:55 2020 max relations containing the same ideal: 196 Sun Jul 5 10:59:19 2020 removing 8547517 relations and 6547517 ideals in 2000000 cliques Sun Jul 5 10:59:23 2020 commencing in-memory singleton removal Sun Jul 5 10:59:36 2020 begin with 113709906 relations and 100897971 unique ideals Sun Jul 5 11:01:45 2020 reduce to 113198565 relations and 93830409 ideals in 7 passes Sun Jul 5 11:01:45 2020 max relations containing the same ideal: 190 Sun Jul 5 11:03:03 2020 removing 7772248 relations and 5772248 ideals in 2000000 cliques Sun Jul 5 11:03:07 2020 commencing in-memory singleton removal Sun Jul 5 11:03:19 2020 begin with 105426317 relations and 93830409 unique ideals Sun Jul 5 11:05:51 2020 reduce to 104972562 relations and 87596671 ideals in 9 passes Sun Jul 5 11:05:51 2020 max relations containing the same ideal: 180 Sun Jul 5 11:07:04 2020 removing 7384830 relations and 5384830 ideals in 2000000 cliques Sun Jul 5 11:07:07 2020 commencing in-memory singleton removal Sun Jul 5 11:07:15 2020 begin with 97587732 relations and 87596671 unique ideals Sun Jul 5 11:08:52 2020 reduce to 97153489 relations and 81769935 ideals in 7 passes Sun Jul 5 11:08:52 2020 max relations containing the same ideal: 171 Sun Jul 5 11:10:00 2020 removing 7157665 relations and 5157665 ideals in 2000000 cliques Sun Jul 5 11:10:04 2020 commencing in-memory singleton removal Sun Jul 5 11:10:14 2020 begin with 89995824 relations and 81769935 unique ideals Sun Jul 5 11:11:53 2020 reduce to 89566694 relations and 76175093 ideals in 7 passes Sun Jul 5 11:11:53 2020 max relations containing the same ideal: 162 Sun Jul 5 11:12:57 2020 removing 7017588 relations and 5017588 ideals in 2000000 cliques Sun Jul 5 11:13:00 2020 commencing in-memory singleton removal Sun Jul 5 11:13:09 2020 begin with 82549106 relations and 76175093 unique ideals Sun Jul 5 11:14:53 2020 reduce to 82110220 relations and 70710017 ideals in 8 passes Sun Jul 5 11:14:53 2020 max relations containing the same ideal: 155 Sun Jul 5 11:15:52 2020 removing 6924984 relations and 4924984 ideals in 2000000 cliques Sun Jul 5 11:15:55 2020 commencing in-memory singleton removal Sun Jul 5 11:16:03 2020 begin with 75185236 relations and 70710017 unique ideals Sun Jul 5 11:17:25 2020 reduce to 74730333 relations and 65320266 ideals in 7 passes Sun Jul 5 11:17:25 2020 max relations containing the same ideal: 144 Sun Jul 5 11:18:19 2020 removing 6873272 relations and 4873272 ideals in 2000000 cliques Sun Jul 5 11:18:22 2020 commencing in-memory singleton removal Sun Jul 5 11:18:29 2020 begin with 67857061 relations and 65320266 unique ideals Sun Jul 5 11:19:11 2020 reduce to 67370696 relations and 59949404 ideals in 8 passes Sun Jul 5 11:19:11 2020 max relations containing the same ideal: 136 Sun Jul 5 11:19:37 2020 removing 6855810 relations and 4855810 ideals in 2000000 cliques Sun Jul 5 11:19:39 2020 commencing in-memory singleton removal Sun Jul 5 11:19:43 2020 begin with 60514886 relations and 59949404 unique ideals Sun Jul 5 11:20:16 2020 reduce to 59983945 relations and 54549194 ideals in 8 passes Sun Jul 5 11:20:16 2020 max relations containing the same ideal: 125 Sun Jul 5 11:20:42 2020 removing 6867967 relations and 4867967 ideals in 2000000 cliques Sun Jul 5 11:20:44 2020 commencing in-memory singleton removal Sun Jul 5 11:20:48 2020 begin with 53115978 relations and 54549194 unique ideals Sun Jul 5 11:21:40 2020 reduce to 52521342 relations and 49069631 ideals in 8 passes Sun Jul 5 11:21:40 2020 max relations containing the same ideal: 118 Sun Jul 5 11:22:19 2020 removing 6908904 relations and 4908904 ideals in 2000000 cliques Sun Jul 5 11:22:22 2020 commencing in-memory singleton removal Sun Jul 5 11:22:27 2020 begin with 45612438 relations and 49069631 unique ideals Sun Jul 5 11:23:28 2020 reduce to 44919115 relations and 43444373 ideals in 9 passes Sun Jul 5 11:23:28 2020 max relations containing the same ideal: 102 Sun Jul 5 11:24:02 2020 removing 3058408 relations and 2353057 ideals in 705351 cliques Sun Jul 5 11:24:03 2020 commencing in-memory singleton removal Sun Jul 5 11:24:08 2020 begin with 41860707 relations and 43444373 unique ideals Sun Jul 5 11:24:46 2020 reduce to 41707664 relations and 40936117 ideals in 6 passes Sun Jul 5 11:24:46 2020 max relations containing the same ideal: 100 Sun Jul 5 11:25:26 2020 relations with 0 large ideals: 25272 Sun Jul 5 11:25:26 2020 relations with 1 large ideals: 7751 Sun Jul 5 11:25:26 2020 relations with 2 large ideals: 114922 Sun Jul 5 11:25:26 2020 relations with 3 large ideals: 819926 Sun Jul 5 11:25:26 2020 relations with 4 large ideals: 3190069 Sun Jul 5 11:25:26 2020 relations with 5 large ideals: 7457942 Sun Jul 5 11:25:26 2020 relations with 6 large ideals: 10903393 Sun Jul 5 11:25:26 2020 relations with 7+ large ideals: 19188389 Sun Jul 5 11:25:26 2020 commencing 2-way merge Sun Jul 5 11:26:07 2020 reduce to 27495322 relation sets and 26723775 unique ideals Sun Jul 5 11:26:07 2020 commencing full merge Sun Jul 5 11:40:42 2020 memory use: 3514.9 MB Sun Jul 5 11:40:46 2020 found 12253352 cycles, need 12247975 Sun Jul 5 11:40:51 2020 weight of 12247975 cycles is about 1470451572 (120.06/cycle) Sun Jul 5 11:40:51 2020 distribution of cycle lengths: Sun Jul 5 11:40:51 2020 1 relations: 575579 Sun Jul 5 11:40:51 2020 2 relations: 768398 Sun Jul 5 11:40:51 2020 3 relations: 871473 Sun Jul 5 11:40:51 2020 4 relations: 880559 Sun Jul 5 11:40:51 2020 5 relations: 890703 Sun Jul 5 11:40:51 2020 6 relations: 865773 Sun Jul 5 11:40:51 2020 7 relations: 847747 Sun Jul 5 11:40:51 2020 8 relations: 806347 Sun Jul 5 11:40:51 2020 9 relations: 762627 Sun Jul 5 11:40:51 2020 10+ relations: 4978769 Sun Jul 5 11:40:51 2020 heaviest cycle: 28 relations Sun Jul 5 11:40:54 2020 commencing cycle optimization Sun Jul 5 11:41:26 2020 start with 110040366 relations Sun Jul 5 11:47:28 2020 pruned 5109056 relations Sun Jul 5 11:47:29 2020 memory use: 2863.5 MB Sun Jul 5 11:47:29 2020 distribution of cycle lengths: Sun Jul 5 11:47:29 2020 1 relations: 575579 Sun Jul 5 11:47:29 2020 2 relations: 787444 Sun Jul 5 11:47:29 2020 3 relations: 908857 Sun Jul 5 11:47:29 2020 4 relations: 917079 Sun Jul 5 11:47:29 2020 5 relations: 933829 Sun Jul 5 11:47:29 2020 6 relations: 906968 Sun Jul 5 11:47:29 2020 7 relations: 890808 Sun Jul 5 11:47:29 2020 8 relations: 844632 Sun Jul 5 11:47:29 2020 9 relations: 796754 Sun Jul 5 11:47:29 2020 10+ relations: 4686025 Sun Jul 5 11:47:29 2020 heaviest cycle: 28 relations Sun Jul 5 11:47:54 2020 RelProcTime: 9499 Sun Jul 5 11:47:54 2020 elapsed time 02:38:20 Sun Jul 5 12:48:15 2020 Sun Jul 5 12:48:15 2020 Sun Jul 5 12:48:15 2020 Msieve v. 1.54 (SVN 1030) Sun Jul 5 12:48:15 2020 random seeds: 5c232fca c4cba266 Sun Jul 5 12:48:15 2020 factoring 3205257561921929805430788315180035657522331986474471901842991601654070021665553966864472555708849390333638831802816771979024652622600718469993826961654207509335216173613447032626102091989652438962019523093370881 (211 digits) Sun Jul 5 12:48:16 2020 no P-1/P+1/ECM available, skipping Sun Jul 5 12:48:16 2020 commencing number field sieve (211-digit input) Sun Jul 5 12:48:16 2020 R0: 51391938904067984658758758686519164141568 Sun Jul 5 12:48:16 2020 R1: 1 Sun Jul 5 12:48:16 2020 A0: 4 Sun Jul 5 12:48:16 2020 A1: 0 Sun Jul 5 12:48:16 2020 A2: 0 Sun Jul 5 12:48:16 2020 A3: 0 Sun Jul 5 12:48:16 2020 A4: 0 Sun Jul 5 12:48:16 2020 A5: 0 Sun Jul 5 12:48:16 2020 A6: 441 Sun Jul 5 12:48:16 2020 skew 0.46, size 2.807e-12, alpha 0.052, combined = 2.549e-13 rroots = 0 Sun Jul 5 12:48:16 2020 Sun Jul 5 12:48:16 2020 commencing linear algebra Sun Jul 5 12:48:17 2020 read 12247975 cycles Sun Jul 5 12:48:37 2020 cycles contain 41272863 unique relations Sun Jul 5 12:54:02 2020 read 41272863 relations Sun Jul 5 12:55:45 2020 using 20 quadratic characters above 4294917295 Sun Jul 5 12:58:13 2020 building initial matrix Sun Jul 5 13:05:58 2020 memory use: 5191.3 MB Sun Jul 5 13:06:06 2020 read 12247975 cycles Sun Jul 5 13:06:08 2020 matrix is 12247798 x 12247975 (5739.3 MB) with weight 1645639327 (134.36/col) Sun Jul 5 13:06:08 2020 sparse part has weight 1369807440 (111.84/col) Sun Jul 5 13:08:07 2020 filtering completed in 2 passes Sun Jul 5 13:08:09 2020 matrix is 12247728 x 12247905 (5739.3 MB) with weight 1645636843 (134.36/col) Sun Jul 5 13:08:09 2020 sparse part has weight 1369806573 (111.84/col) Sun Jul 5 13:08:52 2020 matrix starts at (0, 0) Sun Jul 5 13:08:54 2020 matrix is 12247728 x 12247905 (5739.3 MB) with weight 1645636843 (134.36/col) Sun Jul 5 13:08:54 2020 sparse part has weight 1369806573 (111.84/col) Sun Jul 5 13:08:54 2020 saving the first 48 matrix rows for later Sun Jul 5 13:08:55 2020 matrix includes 64 packed rows Sun Jul 5 13:08:57 2020 matrix is 12247680 x 12247905 (5526.9 MB) with weight 1427761526 (116.57/col) Sun Jul 5 13:08:57 2020 sparse part has weight 1326353305 (108.29/col) Sun Jul 5 13:08:57 2020 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB Sun Jul 5 13:09:38 2020 commencing Lanczos iteration (12 threads) Sun Jul 5 13:09:38 2020 memory use: 5279.9 MB Sun Jul 5 13:10:30 2020 linear algebra at 0.0%, ETA 112h20m Sun Jul 5 13:10:46 2020 checkpointing every 110000 dimensions Fri Jul 10 04:40:01 2020 lanczos halted after 193680 iterations (dim = 12247674) Fri Jul 10 04:40:13 2020 recovered 39 nontrivial dependencies Fri Jul 10 04:40:13 2020 BLanczosTime: 402717 Fri Jul 10 04:40:13 2020 elapsed time 111:51:58 Fri Jul 10 04:40:13 2020 Fri Jul 10 04:40:13 2020 Fri Jul 10 04:40:13 2020 Msieve v. 1.54 (SVN 1030) Fri Jul 10 04:40:13 2020 random seeds: cfe19c92 db7cfeba Fri Jul 10 04:40:13 2020 factoring 3205257561921929805430788315180035657522331986474471901842991601654070021665553966864472555708849390333638831802816771979024652622600718469993826961654207509335216173613447032626102091989652438962019523093370881 (211 digits) Fri Jul 10 04:40:14 2020 no P-1/P+1/ECM available, skipping Fri Jul 10 04:40:14 2020 commencing number field sieve (211-digit input) Fri Jul 10 04:40:14 2020 R0: 51391938904067984658758758686519164141568 Fri Jul 10 04:40:14 2020 R1: 1 Fri Jul 10 04:40:14 2020 A0: 4 Fri Jul 10 04:40:14 2020 A1: 0 Fri Jul 10 04:40:14 2020 A2: 0 Fri Jul 10 04:40:14 2020 A3: 0 Fri Jul 10 04:40:14 2020 A4: 0 Fri Jul 10 04:40:14 2020 A5: 0 Fri Jul 10 04:40:14 2020 A6: 441 Fri Jul 10 04:40:14 2020 skew 0.46, size 2.807e-12, alpha 0.052, combined = 2.549e-13 rroots = 0 Fri Jul 10 04:40:14 2020 Fri Jul 10 04:40:14 2020 commencing square root phase Fri Jul 10 04:40:14 2020 reading relations for dependency 1 Fri Jul 10 04:40:15 2020 read 6124789 cycles Fri Jul 10 04:40:26 2020 cycles contain 20639590 unique relations Fri Jul 10 04:44:33 2020 read 20639590 relations Fri Jul 10 04:45:46 2020 multiplying 20639590 relations Fri Jul 10 05:01:08 2020 multiply complete, coefficients have about 686.46 million bits Fri Jul 10 05:01:11 2020 initial square root is modulo 1440799 Fri Jul 10 05:17:36 2020 GCD is N, no factor found Fri Jul 10 05:17:36 2020 reading relations for dependency 2 Fri Jul 10 05:17:38 2020 read 6125014 cycles Fri Jul 10 05:17:48 2020 cycles contain 20639056 unique relations Fri Jul 10 05:21:58 2020 read 20639056 relations Fri Jul 10 05:23:11 2020 multiplying 20639056 relations Fri Jul 10 05:38:35 2020 multiply complete, coefficients have about 686.45 million bits Fri Jul 10 05:38:38 2020 initial square root is modulo 1440499 Fri Jul 10 05:55:09 2020 sqrtTime: 4495 Fri Jul 10 05:55:09 2020 p82 factor: 3750014435645851219459254960306953257318650027343054336757561710083126238929618433 Fri Jul 10 05:55:09 2020 p129 factor: 854732059550032122065546006244404112929051650774633051279891601866880023389029494167083608702247774609676705855297153935509459457 Fri Jul 10 05:55:09 2020 elapsed time 01:14:56 *********** Processing f84_128p1.log ************* http://factordb.com/report.php?report=3205257561921929805430788315180035657522331986474471901842991601654070021665553966864472555708849390333638831802816771979024652622600718469993826961654207509335216173613447032626102091989652438962019523093370881%3D3750014435645851219459254960306953257318650027343054336757561710083126238929618433*854732059550032122065546006244404112929051650774633051279891601866880023389029494167083608702247774609676705855297153935509459457 1 new factor added to factordb 1 factor already known by factordb 1 Thank you for your contribution