Sun Mar 13 00:07:01 2022 Sun Mar 13 00:07:01 2022 Sun Mar 13 00:07:01 2022 Msieve v. 1.54 (SVN 1043M) Sun Mar 13 00:07:01 2022 random seeds: 6c3972d5 a61f100b Sun Mar 13 00:07:01 2022 factoring 6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (250 digits) Sun Mar 13 00:07:03 2022 searching for 15-digit factors Sun Mar 13 00:07:04 2022 commencing number field sieve (250-digit input) Sun Mar 13 00:07:04 2022 R0: -500000000000000000000000000000000000000000 Sun Mar 13 00:07:04 2022 R1: 1 Sun Mar 13 00:07:04 2022 A0: 425 Sun Mar 13 00:07:04 2022 A1: 0 Sun Mar 13 00:07:04 2022 A2: 0 Sun Mar 13 00:07:04 2022 A3: 0 Sun Mar 13 00:07:04 2022 A4: 0 Sun Mar 13 00:07:04 2022 A5: 0 Sun Mar 13 00:07:04 2022 A6: 88 Sun Mar 13 00:07:04 2022 skew 1.30, size 1.210e-12, alpha -0.281, combined = 1.384e-13 rroots = 0 Sun Mar 13 00:07:04 2022 Sun Mar 13 00:07:04 2022 commencing relation filtering Sun Mar 13 00:07:04 2022 setting target matrix density to 130.0 Sun Mar 13 00:07:04 2022 estimated available RAM is 63624.2 MB Sun Mar 13 00:07:04 2022 commencing duplicate removal, pass 1 Sun Mar 13 00:38:36 2022 error -1 reading relation 173117710 Sun Mar 13 00:38:39 2022 error -15 reading relation 173357840 Sun Mar 13 00:43:29 2022 skipped 313 relations with b > 2^32 Sun Mar 13 00:43:29 2022 found 8840078 hash collisions in 200840318 relations Sun Mar 13 00:43:50 2022 added 1218350 free relations Sun Mar 13 00:43:50 2022 commencing duplicate removal, pass 2 Sun Mar 13 00:44:58 2022 found 1 duplicates and 202058667 unique relations Sun Mar 13 00:44:58 2022 memory use: 522.4 MB Sun Mar 13 00:44:58 2022 reading ideals above 720000 Sun Mar 13 00:44:58 2022 commencing singleton removal, initial pass Sun Mar 13 01:23:31 2022 memory use: 5512.0 MB Sun Mar 13 01:23:32 2022 reading all ideals from disk Sun Mar 13 01:23:37 2022 memory use: 8204.6 MB Sun Mar 13 01:24:07 2022 keeping 177835140 ideals with weight <= 200, target excess is 1095753 Sun Mar 13 01:24:44 2022 commencing in-memory singleton removal Sun Mar 13 01:25:07 2022 begin with 202058667 relations and 177835140 unique ideals Sun Mar 13 01:29:29 2022 reduce to 137984293 relations and 107807283 ideals in 13 passes Sun Mar 13 01:29:29 2022 max relations containing the same ideal: 164 Sun Mar 13 01:30:50 2022 removing 10354291 relations and 8354291 ideals in 2000000 cliques Sun Mar 13 01:30:56 2022 commencing in-memory singleton removal Sun Mar 13 01:31:11 2022 begin with 127630002 relations and 107807283 unique ideals Sun Mar 13 01:33:17 2022 reduce to 127062434 relations and 98875293 ideals in 7 passes Sun Mar 13 01:33:17 2022 max relations containing the same ideal: 158 Sun Mar 13 01:34:34 2022 removing 7900294 relations and 5900294 ideals in 2000000 cliques Sun Mar 13 01:34:41 2022 commencing in-memory singleton removal Sun Mar 13 01:34:54 2022 begin with 119162140 relations and 98875293 unique ideals Sun Mar 13 01:37:09 2022 reduce to 118779857 relations and 92586673 ideals in 7 passes Sun Mar 13 01:37:09 2022 max relations containing the same ideal: 148 Sun Mar 13 01:38:24 2022 removing 7173917 relations and 5173917 ideals in 2000000 cliques Sun Mar 13 01:38:30 2022 commencing in-memory singleton removal Sun Mar 13 01:38:42 2022 begin with 111605940 relations and 92586673 unique ideals Sun Mar 13 01:40:39 2022 reduce to 111269645 relations and 87071047 ideals in 7 passes Sun Mar 13 01:40:39 2022 max relations containing the same ideal: 143 Sun Mar 13 01:41:44 2022 removing 6806191 relations and 4806191 ideals in 2000000 cliques Sun Mar 13 01:41:51 2022 commencing in-memory singleton removal Sun Mar 13 01:42:02 2022 begin with 104463454 relations and 87071047 unique ideals Sun Mar 13 01:43:28 2022 reduce to 104147757 relations and 81944109 ideals in 6 passes Sun Mar 13 01:43:28 2022 max relations containing the same ideal: 138 Sun Mar 13 01:44:27 2022 removing 6578448 relations and 4578448 ideals in 2000000 cliques Sun Mar 13 01:44:32 2022 commencing in-memory singleton removal Sun Mar 13 01:44:42 2022 begin with 97569309 relations and 81944109 unique ideals Sun Mar 13 01:45:51 2022 reduce to 97265074 relations and 77056195 ideals in 6 passes Sun Mar 13 01:45:51 2022 max relations containing the same ideal: 129 Sun Mar 13 01:46:48 2022 removing 6425535 relations and 4425535 ideals in 2000000 cliques Sun Mar 13 01:46:54 2022 commencing in-memory singleton removal Sun Mar 13 01:47:04 2022 begin with 90839539 relations and 77056195 unique ideals Sun Mar 13 01:48:31 2022 reduce to 90536254 relations and 72321854 ideals in 7 passes Sun Mar 13 01:48:31 2022 max relations containing the same ideal: 124 Sun Mar 13 01:49:27 2022 removing 6314015 relations and 4314015 ideals in 2000000 cliques Sun Mar 13 01:49:33 2022 commencing in-memory singleton removal Sun Mar 13 01:49:42 2022 begin with 84222239 relations and 72321854 unique ideals Sun Mar 13 01:51:07 2022 reduce to 83913627 relations and 67693083 ideals in 7 passes Sun Mar 13 01:51:07 2022 max relations containing the same ideal: 118 Sun Mar 13 01:52:01 2022 removing 6241620 relations and 4241620 ideals in 2000000 cliques Sun Mar 13 01:52:06 2022 commencing in-memory singleton removal Sun Mar 13 01:52:13 2022 begin with 77672007 relations and 67693083 unique ideals Sun Mar 13 01:53:22 2022 reduce to 77354790 relations and 63127583 ideals in 7 passes Sun Mar 13 01:53:22 2022 max relations containing the same ideal: 111 Sun Mar 13 01:54:16 2022 removing 6189062 relations and 4189062 ideals in 2000000 cliques Sun Mar 13 01:54:21 2022 commencing in-memory singleton removal Sun Mar 13 01:54:29 2022 begin with 71165728 relations and 63127583 unique ideals Sun Mar 13 01:55:37 2022 reduce to 70834255 relations and 58599835 ideals in 7 passes Sun Mar 13 01:55:37 2022 max relations containing the same ideal: 107 Sun Mar 13 01:56:20 2022 removing 6154090 relations and 4154090 ideals in 2000000 cliques Sun Mar 13 01:56:24 2022 commencing in-memory singleton removal Sun Mar 13 01:56:31 2022 begin with 64680165 relations and 58599835 unique ideals Sun Mar 13 01:57:26 2022 reduce to 64327688 relations and 54084841 ideals in 7 passes Sun Mar 13 01:57:26 2022 max relations containing the same ideal: 99 Sun Mar 13 01:58:03 2022 removing 6140460 relations and 4140460 ideals in 2000000 cliques Sun Mar 13 01:58:07 2022 commencing in-memory singleton removal Sun Mar 13 01:58:12 2022 begin with 58187228 relations and 54084841 unique ideals Sun Mar 13 01:59:02 2022 reduce to 57808455 relations and 49555689 ideals in 7 passes Sun Mar 13 01:59:02 2022 max relations containing the same ideal: 94 Sun Mar 13 01:59:34 2022 removing 6136607 relations and 4136607 ideals in 2000000 cliques Sun Mar 13 01:59:38 2022 commencing in-memory singleton removal Sun Mar 13 01:59:42 2022 begin with 51671848 relations and 49555689 unique ideals Sun Mar 13 02:00:23 2022 reduce to 51255519 relations and 44990669 ideals in 7 passes Sun Mar 13 02:00:23 2022 max relations containing the same ideal: 89 Sun Mar 13 02:00:54 2022 removing 6153557 relations and 4153557 ideals in 2000000 cliques Sun Mar 13 02:00:57 2022 commencing in-memory singleton removal Sun Mar 13 02:01:02 2022 begin with 45101962 relations and 44990669 unique ideals Sun Mar 13 02:01:40 2022 reduce to 44632426 relations and 40352257 ideals in 7 passes Sun Mar 13 02:01:40 2022 max relations containing the same ideal: 81 Sun Mar 13 02:02:08 2022 removing 6179909 relations and 4179909 ideals in 2000000 cliques Sun Mar 13 02:02:11 2022 commencing in-memory singleton removal Sun Mar 13 02:02:15 2022 begin with 38452517 relations and 40352257 unique ideals Sun Mar 13 02:02:48 2022 reduce to 37901891 relations and 35601109 ideals in 7 passes Sun Mar 13 02:02:48 2022 max relations containing the same ideal: 71 Sun Mar 13 02:03:11 2022 removing 3622246 relations and 2592538 ideals in 1029708 cliques Sun Mar 13 02:03:14 2022 commencing in-memory singleton removal Sun Mar 13 02:03:17 2022 begin with 34279645 relations and 35601109 unique ideals Sun Mar 13 02:03:45 2022 reduce to 34039617 relations and 32762969 ideals in 8 passes Sun Mar 13 02:03:45 2022 max relations containing the same ideal: 68 Sun Mar 13 02:04:09 2022 relations with 0 large ideals: 41730 Sun Mar 13 02:04:09 2022 relations with 1 large ideals: 24200 Sun Mar 13 02:04:09 2022 relations with 2 large ideals: 283146 Sun Mar 13 02:04:09 2022 relations with 3 large ideals: 1570817 Sun Mar 13 02:04:09 2022 relations with 4 large ideals: 4646805 Sun Mar 13 02:04:09 2022 relations with 5 large ideals: 8150909 Sun Mar 13 02:04:09 2022 relations with 6 large ideals: 8911627 Sun Mar 13 02:04:09 2022 relations with 7+ large ideals: 10410383 Sun Mar 13 02:04:09 2022 commencing 2-way merge Sun Mar 13 02:04:40 2022 reduce to 22697301 relation sets and 21420653 unique ideals Sun Mar 13 02:04:40 2022 commencing full merge Sun Mar 13 02:16:19 2022 memory use: 2869.1 MB Sun Mar 13 02:16:22 2022 found 10136296 cycles, need 10056853 Sun Mar 13 02:16:28 2022 weight of 10056853 cycles is about 1308166680 (130.08/cycle) Sun Mar 13 02:16:28 2022 distribution of cycle lengths: Sun Mar 13 02:16:28 2022 1 relations: 336829 Sun Mar 13 02:16:28 2022 2 relations: 502663 Sun Mar 13 02:16:28 2022 3 relations: 619349 Sun Mar 13 02:16:28 2022 4 relations: 668151 Sun Mar 13 02:16:28 2022 5 relations: 711637 Sun Mar 13 02:16:28 2022 6 relations: 724010 Sun Mar 13 02:16:28 2022 7 relations: 723806 Sun Mar 13 02:16:28 2022 8 relations: 707094 Sun Mar 13 02:16:28 2022 9 relations: 674367 Sun Mar 13 02:16:28 2022 10+ relations: 4388947 Sun Mar 13 02:16:28 2022 heaviest cycle: 28 relations Sun Mar 13 02:16:32 2022 commencing cycle optimization Sun Mar 13 02:16:58 2022 start with 94039704 relations Sun Mar 13 02:22:07 2022 pruned 4967527 relations Sun Mar 13 02:22:07 2022 memory use: 2373.5 MB Sun Mar 13 02:22:07 2022 distribution of cycle lengths: Sun Mar 13 02:22:07 2022 1 relations: 336829 Sun Mar 13 02:22:07 2022 2 relations: 516033 Sun Mar 13 02:22:07 2022 3 relations: 647633 Sun Mar 13 02:22:07 2022 4 relations: 699680 Sun Mar 13 02:22:07 2022 5 relations: 752897 Sun Mar 13 02:22:07 2022 6 relations: 768010 Sun Mar 13 02:22:07 2022 7 relations: 771444 Sun Mar 13 02:22:07 2022 8 relations: 751435 Sun Mar 13 02:22:07 2022 9 relations: 716362 Sun Mar 13 02:22:07 2022 10+ relations: 4096530 Sun Mar 13 02:22:07 2022 heaviest cycle: 28 relations Sun Mar 13 02:22:35 2022 RelProcTime: 8131 Sun Mar 13 02:22:35 2022 elapsed time 02:15:34 Sun Mar 13 05:29:59 2022 Sun Mar 13 05:29:59 2022 Sun Mar 13 05:29:59 2022 Msieve v. 1.54 (SVN 1043M) Sun Mar 13 05:29:59 2022 random seeds: 71c92ce7 b1dd53c5 Sun Mar 13 05:29:59 2022 factoring 6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (250 digits) Sun Mar 13 05:30:01 2022 searching for 15-digit factors Sun Mar 13 05:30:02 2022 commencing number field sieve (250-digit input) Sun Mar 13 05:30:02 2022 R0: -500000000000000000000000000000000000000000 Sun Mar 13 05:30:02 2022 R1: 1 Sun Mar 13 05:30:02 2022 A0: 425 Sun Mar 13 05:30:02 2022 A1: 0 Sun Mar 13 05:30:02 2022 A2: 0 Sun Mar 13 05:30:02 2022 A3: 0 Sun Mar 13 05:30:02 2022 A4: 0 Sun Mar 13 05:30:02 2022 A5: 0 Sun Mar 13 05:30:02 2022 A6: 88 Sun Mar 13 05:30:02 2022 skew 1.30, size 1.210e-12, alpha -0.281, combined = 1.384e-13 rroots = 0 Sun Mar 13 05:30:02 2022 Sun Mar 13 05:30:02 2022 commencing linear algebra Sun Mar 13 05:30:04 2022 read 10056853 cycles Sun Mar 13 05:30:35 2022 cycles contain 33408257 unique relations Sun Mar 13 05:34:33 2022 read 33408257 relations Sun Mar 13 05:35:56 2022 using 20 quadratic characters above 4294917295 Sun Mar 13 05:39:14 2022 building initial matrix Sun Mar 13 05:50:35 2022 memory use: 4378.7 MB Sun Mar 13 05:50:44 2022 read 10056853 cycles Sun Mar 13 05:50:45 2022 matrix is 10056676 x 10056853 (5033.6 MB) with weight 1441313072 (143.32/col) Sun Mar 13 05:50:45 2022 sparse part has weight 1208913214 (120.21/col) Sun Mar 13 05:53:57 2022 filtering completed in 2 passes Sun Mar 13 05:53:59 2022 matrix is 10056448 x 10056625 (5033.6 MB) with weight 1441304829 (143.32/col) Sun Mar 13 05:53:59 2022 sparse part has weight 1208910220 (120.21/col) Sun Mar 13 05:54:37 2022 matrix starts at (0, 0) Sun Mar 13 05:54:39 2022 matrix is 10056448 x 10056625 (5033.6 MB) with weight 1441304829 (143.32/col) Sun Mar 13 05:54:39 2022 sparse part has weight 1208910220 (120.21/col) Sun Mar 13 05:54:39 2022 saving the first 48 matrix rows for later Sun Mar 13 05:54:40 2022 matrix includes 64 packed rows Sun Mar 13 05:54:42 2022 matrix is 10056400 x 10056625 (4834.2 MB) with weight 1244552739 (123.75/col) Sun Mar 13 05:54:42 2022 sparse part has weight 1166678460 (116.01/col) Sun Mar 13 05:54:42 2022 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB Sun Mar 13 05:55:21 2022 commencing Lanczos iteration Sun Mar 13 05:55:21 2022 memory use: 4601.9 MB Sun Mar 13 05:59:20 2022 linear algebra at 0.0%, ETA 421h48m Sun Mar 13 06:00:42 2022 checkpointing every 30000 dimensions Sun Mar 13 06:58:48 2022 Sun Mar 13 06:58:48 2022 Sun Mar 13 06:58:48 2022 Msieve v. 1.54 (SVN unknown) Sun Mar 13 06:58:48 2022 random seeds: 7b0b6273 a31e4f1e Sun Mar 13 06:58:48 2022 factoring 6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (250 digits) Sun Mar 13 06:58:49 2022 no P-1/P+1/ECM available, skipping Sun Mar 13 06:58:49 2022 commencing number field sieve (250-digit input) Sun Mar 13 06:58:49 2022 R0: -500000000000000000000000000000000000000000 Sun Mar 13 06:58:49 2022 R1: 1 Sun Mar 13 06:58:49 2022 A0: 425 Sun Mar 13 06:58:49 2022 A1: 0 Sun Mar 13 06:58:49 2022 A2: 0 Sun Mar 13 06:58:49 2022 A3: 0 Sun Mar 13 06:58:49 2022 A4: 0 Sun Mar 13 06:58:49 2022 A5: 0 Sun Mar 13 06:58:49 2022 A6: 88 Sun Mar 13 06:58:49 2022 skew 1.30, size 1.210e-12, alpha -0.281, combined = 1.384e-13 rroots = 0 Sun Mar 13 06:58:49 2022 Sun Mar 13 06:58:49 2022 commencing linear algebra Sun Mar 13 06:58:49 2022 using VBITS=128 Sun Mar 13 06:58:49 2022 skipping matrix build Sun Mar 13 06:58:53 2022 matrix starts at (0, 0) Sun Mar 13 06:58:55 2022 matrix is 10056448 x 10056625 (5033.6 MB) with weight 1441304829 (143.32/col) Sun Mar 13 06:58:55 2022 sparse part has weight 1208910220 (120.21/col) Sun Mar 13 06:58:55 2022 saving the first 112 matrix rows for later Sun Mar 13 06:58:57 2022 matrix includes 128 packed rows Sun Mar 13 06:59:00 2022 matrix is 10056336 x 10056625 (4687.7 MB) with weight 1166678460 (116.01/col) Sun Mar 13 06:59:00 2022 sparse part has weight 1108176889 (110.19/col) Sun Mar 13 06:59:00 2022 using GPU 0 (Tesla P100-PCIE-16GB) Sun Mar 13 06:59:00 2022 selected card has CUDA arch 6.0 Sun Mar 13 07:00:47 2022 commencing Lanczos iteration Sun Mar 13 07:00:48 2022 memory use: 9989.2 MB Sun Mar 13 07:00:54 2022 linear algebra at 0.0%, ETA 9h 8m Sun Mar 13 07:00:56 2022 checkpointing every 1050000 dimensions Sun Mar 13 16:34:55 2022 lanczos halted after 79040 iterations (dim = 10056336) Sun Mar 13 16:35:13 2022 recovered 37 nontrivial dependencies Sun Mar 13 16:35:13 2022 BLanczosTime: 34584 Sun Mar 13 16:35:13 2022 elapsed time 09:36:25 Sun Mar 13 16:42:32 2022 Sun Mar 13 16:42:32 2022 Sun Mar 13 16:42:32 2022 Msieve v. 1.54 (SVN 1043M) Sun Mar 13 16:42:32 2022 random seeds: add9ac4c 9e531248 Sun Mar 13 16:42:32 2022 factoring 6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (250 digits) Sun Mar 13 16:42:33 2022 searching for 15-digit factors Sun Mar 13 16:42:34 2022 commencing number field sieve (250-digit input) Sun Mar 13 16:42:34 2022 R0: -500000000000000000000000000000000000000000 Sun Mar 13 16:42:34 2022 R1: 1 Sun Mar 13 16:42:34 2022 A0: 425 Sun Mar 13 16:42:34 2022 A1: 0 Sun Mar 13 16:42:34 2022 A2: 0 Sun Mar 13 16:42:34 2022 A3: 0 Sun Mar 13 16:42:34 2022 A4: 0 Sun Mar 13 16:42:34 2022 A5: 0 Sun Mar 13 16:42:34 2022 A6: 88 Sun Mar 13 16:42:34 2022 skew 1.30, size 1.210e-12, alpha -0.281, combined = 1.384e-13 rroots = 0 Sun Mar 13 16:42:34 2022 Sun Mar 13 16:42:34 2022 commencing square root phase Sun Mar 13 16:42:34 2022 reading relations for dependency 1 Sun Mar 13 16:42:46 2022 read 5029171 cycles Sun Mar 13 16:43:02 2022 cycles contain 16712196 unique relations Sun Mar 13 16:45:26 2022 read 16712196 relations Sun Mar 13 16:47:30 2022 multiplying 16712196 relations Sun Mar 13 17:07:59 2022 multiply complete, coefficients have about 542.82 million bits Sun Mar 13 17:08:01 2022 initial square root is modulo 74131 Sun Mar 13 17:31:16 2022 found factor: 343909913772535132102175276036253033572422218397498632384157573 Sun Mar 13 17:31:16 2022 reading relations for dependency 2 Sun Mar 13 17:31:17 2022 read 5029508 cycles Sun Mar 13 17:31:33 2022 cycles contain 16708098 unique relations Sun Mar 13 17:33:50 2022 read 16708098 relations Sun Mar 13 17:35:53 2022 multiplying 16708098 relations Sun Mar 13 17:56:31 2022 multiply complete, coefficients have about 542.69 million bits Sun Mar 13 17:56:32 2022 initial square root is modulo 73939 Sun Mar 13 18:20:21 2022 found factor: 343909913772535132102175276036253033572422218397498632384157573 Sun Mar 13 18:20:21 2022 reading relations for dependency 3 Sun Mar 13 18:20:22 2022 read 5026990 cycles Sun Mar 13 18:20:36 2022 cycles contain 16702498 unique relations Sun Mar 13 18:22:57 2022 read 16702498 relations Sun Mar 13 18:25:00 2022 multiplying 16702498 relations Sun Mar 13 18:46:09 2022 multiply complete, coefficients have about 542.52 million bits Sun Mar 13 18:46:12 2022 initial square root is modulo 73681 Sun Mar 13 19:09:36 2022 sqrtTime: 8822 Sun Mar 13 19:09:36 2022 p63 factor: 343909913772535132102175276036253033572422218397498632384157573 Sun Mar 13 19:09:36 2022 p64 factor: 1709418258194225676786874146458694142591117982902579429915434233 Sun Mar 13 19:09:36 2022 p125 factor: 10395063496100953028990623365566816617675353254912679728994108060948836155394191198621484208170001791827574936313608766628957