Wed Feb 16 20:01:38 2022 Wed Feb 16 20:01:38 2022 Wed Feb 16 20:01:38 2022 Msieve v. 1.54 (SVN unknown) Wed Feb 16 20:01:38 2022 random seeds: 2adf345f 6cd48103 Wed Feb 16 20:01:38 2022 factoring 51578930581067683364712246470648754575547859544204494416682639186369708191170511796813769844989815356030793636516951005823853033136843878040207423438777859531071980737682922658424237441847940477236250134159969973913839323836340914369119915173296697165060318712911689331475534604820059 (284 digits) Wed Feb 16 20:01:39 2022 no P-1/P+1/ECM available, skipping Wed Feb 16 20:01:39 2022 commencing number field sieve (284-digit input) Wed Feb 16 20:01:39 2022 R0: 634892893303825859588614120705313034671418948077251743103 Wed Feb 16 20:01:39 2022 R1: -543832887154839374828056090431387400925159454345703125 Wed Feb 16 20:01:39 2022 A0: 75 Wed Feb 16 20:01:39 2022 A1: 0 Wed Feb 16 20:01:39 2022 A2: 0 Wed Feb 16 20:01:39 2022 A3: 0 Wed Feb 16 20:01:39 2022 A4: 0 Wed Feb 16 20:01:39 2022 A5: 1 Wed Feb 16 20:01:39 2022 skew 2.37, size 2.213e-19, alpha 0.711, combined = 3.235e-15 rroots = 1 Wed Feb 16 20:01:39 2022 Wed Feb 16 20:01:39 2022 commencing relation filtering Wed Feb 16 20:01:39 2022 setting target matrix density to 110.0 Wed Feb 16 20:01:39 2022 estimated available RAM is 515600.8 MB Wed Feb 16 20:01:39 2022 commencing duplicate removal, pass 1 Wed Feb 16 20:43:30 2022 skipped 19356 relations with b > 2^32 Wed Feb 16 20:43:30 2022 skipped 240 relations with composite factors Wed Feb 16 20:43:30 2022 found 48930134 hash collisions in 493482182 relations Wed Feb 16 20:43:49 2022 added 731993 free relations Wed Feb 16 20:43:49 2022 commencing duplicate removal, pass 2 Wed Feb 16 20:45:45 2022 found 1 duplicates and 494214174 unique relations Wed Feb 16 20:45:45 2022 memory use: 2259.0 MB Wed Feb 16 20:45:45 2022 reading ideals above 720000 Wed Feb 16 20:45:46 2022 commencing singleton removal, initial pass Wed Feb 16 21:30:50 2022 memory use: 11024.0 MB Wed Feb 16 21:30:50 2022 reading all ideals from disk Wed Feb 16 21:31:09 2022 memory use: 22026.3 MB Wed Feb 16 21:31:28 2022 keeping 491858281 ideals with weight <= 200, target excess is 2679952 Wed Feb 16 21:32:01 2022 commencing in-memory singleton removal Wed Feb 16 21:32:15 2022 begin with 494214174 relations and 491858281 unique ideals Wed Feb 16 21:35:26 2022 reduce to 288995191 relations and 263750473 ideals in 18 passes Wed Feb 16 21:35:26 2022 max relations containing the same ideal: 147 Wed Feb 16 21:36:36 2022 removing 17859344 relations and 15859344 ideals in 2000000 cliques Wed Feb 16 21:36:42 2022 commencing in-memory singleton removal Wed Feb 16 21:36:50 2022 begin with 271135847 relations and 263750473 unique ideals Wed Feb 16 21:38:13 2022 reduce to 270168796 relations and 246914088 ideals in 9 passes Wed Feb 16 21:38:13 2022 max relations containing the same ideal: 142 Wed Feb 16 21:39:19 2022 removing 13361705 relations and 11361705 ideals in 2000000 cliques Wed Feb 16 21:39:24 2022 commencing in-memory singleton removal Wed Feb 16 21:39:32 2022 begin with 256807091 relations and 246914088 unique ideals Wed Feb 16 21:40:51 2022 reduce to 256209545 relations and 234949745 ideals in 9 passes Wed Feb 16 21:40:51 2022 max relations containing the same ideal: 138 Wed Feb 16 21:41:54 2022 removing 11965192 relations and 9965192 ideals in 2000000 cliques Wed Feb 16 21:41:59 2022 commencing in-memory singleton removal Wed Feb 16 21:42:06 2022 begin with 244244353 relations and 234949745 unique ideals Wed Feb 16 21:43:21 2022 reduce to 243734864 relations and 224471040 ideals in 9 passes Wed Feb 16 21:43:21 2022 max relations containing the same ideal: 130 Wed Feb 16 21:44:21 2022 removing 11224512 relations and 9224512 ideals in 2000000 cliques Wed Feb 16 21:44:26 2022 commencing in-memory singleton removal Wed Feb 16 21:44:32 2022 begin with 232510352 relations and 224471040 unique ideals Wed Feb 16 21:45:36 2022 reduce to 232038609 relations and 214770992 ideals in 8 passes Wed Feb 16 21:45:36 2022 max relations containing the same ideal: 127 Wed Feb 16 21:46:32 2022 removing 10762322 relations and 8762322 ideals in 2000000 cliques Wed Feb 16 21:46:37 2022 commencing in-memory singleton removal Wed Feb 16 21:46:43 2022 begin with 221276287 relations and 214770992 unique ideals Wed Feb 16 21:47:51 2022 reduce to 220822655 relations and 205551347 ideals in 9 passes Wed Feb 16 21:47:51 2022 max relations containing the same ideal: 123 Wed Feb 16 21:48:45 2022 removing 10454244 relations and 8454244 ideals in 2000000 cliques Wed Feb 16 21:48:49 2022 commencing in-memory singleton removal Wed Feb 16 21:48:55 2022 begin with 210368411 relations and 205551347 unique ideals Wed Feb 16 21:49:53 2022 reduce to 209917682 relations and 196642503 ideals in 8 passes Wed Feb 16 21:49:53 2022 max relations containing the same ideal: 121 Wed Feb 16 21:50:45 2022 removing 10242498 relations and 8242498 ideals in 2000000 cliques Wed Feb 16 21:50:49 2022 commencing in-memory singleton removal Wed Feb 16 21:50:55 2022 begin with 199675184 relations and 196642503 unique ideals Wed Feb 16 21:51:49 2022 reduce to 199218871 relations and 187939714 ideals in 8 passes Wed Feb 16 21:51:49 2022 max relations containing the same ideal: 117 Wed Feb 16 21:52:38 2022 removing 10102481 relations and 8102481 ideals in 2000000 cliques Wed Feb 16 21:52:42 2022 commencing in-memory singleton removal Wed Feb 16 21:52:48 2022 begin with 189116390 relations and 187939714 unique ideals Wed Feb 16 21:53:39 2022 reduce to 188645276 relations and 179361767 ideals in 8 passes Wed Feb 16 21:53:39 2022 max relations containing the same ideal: 114 Wed Feb 16 21:54:26 2022 removing 10026398 relations and 8026398 ideals in 2000000 cliques Wed Feb 16 21:54:30 2022 commencing in-memory singleton removal Wed Feb 16 21:54:35 2022 begin with 178618878 relations and 179361767 unique ideals Wed Feb 16 21:55:23 2022 reduce to 178130332 relations and 170842379 ideals in 8 passes Wed Feb 16 21:55:23 2022 max relations containing the same ideal: 109 Wed Feb 16 21:56:08 2022 removing 10000439 relations and 8000439 ideals in 2000000 cliques Wed Feb 16 21:56:12 2022 commencing in-memory singleton removal Wed Feb 16 21:56:17 2022 begin with 168129893 relations and 170842379 unique ideals Wed Feb 16 21:57:02 2022 reduce to 167610107 relations and 162316958 ideals in 8 passes Wed Feb 16 21:57:02 2022 max relations containing the same ideal: 106 Wed Feb 16 21:57:44 2022 removing 10015983 relations and 8015983 ideals in 2000000 cliques Wed Feb 16 21:57:48 2022 commencing in-memory singleton removal Wed Feb 16 21:57:52 2022 begin with 157594124 relations and 162316958 unique ideals Wed Feb 16 21:58:35 2022 reduce to 157034986 relations and 153735935 ideals in 8 passes Wed Feb 16 21:58:35 2022 max relations containing the same ideal: 100 Wed Feb 16 21:59:15 2022 removing 1433551 relations and 1243245 ideals in 190306 cliques Wed Feb 16 21:59:18 2022 commencing in-memory singleton removal Wed Feb 16 21:59:22 2022 begin with 155601435 relations and 153735935 unique ideals Wed Feb 16 21:59:54 2022 reduce to 155591072 relations and 152482316 ideals in 6 passes Wed Feb 16 21:59:54 2022 max relations containing the same ideal: 100 Wed Feb 16 22:00:14 2022 relations with 0 large ideals: 50717 Wed Feb 16 22:00:14 2022 relations with 1 large ideals: 35213 Wed Feb 16 22:00:14 2022 relations with 2 large ideals: 517022 Wed Feb 16 22:00:14 2022 relations with 3 large ideals: 3470589 Wed Feb 16 22:00:14 2022 relations with 4 large ideals: 13009671 Wed Feb 16 22:00:14 2022 relations with 5 large ideals: 29577836 Wed Feb 16 22:00:15 2022 relations with 6 large ideals: 42650960 Wed Feb 16 22:00:15 2022 relations with 7+ large ideals: 66279064 Wed Feb 16 22:00:15 2022 commencing 2-way merge Wed Feb 16 22:01:12 2022 reduce to 96972954 relation sets and 93864198 unique ideals Wed Feb 16 22:01:12 2022 commencing full merge Wed Feb 16 22:21:33 2022 memory use: 10652.5 MB Wed Feb 16 22:21:40 2022 found 44002197 cycles, need 43666398 Wed Feb 16 22:21:50 2022 weight of 43666398 cycles is about 4803425754 (110.00/cycle) Wed Feb 16 22:21:50 2022 distribution of cycle lengths: Wed Feb 16 22:21:50 2022 1 relations: 4072592 Wed Feb 16 22:21:50 2022 2 relations: 3746875 Wed Feb 16 22:21:50 2022 3 relations: 3818341 Wed Feb 16 22:21:50 2022 4 relations: 3612118 Wed Feb 16 22:21:50 2022 5 relations: 3499165 Wed Feb 16 22:21:50 2022 6 relations: 3250364 Wed Feb 16 22:21:50 2022 7 relations: 3016158 Wed Feb 16 22:21:50 2022 8 relations: 2731296 Wed Feb 16 22:21:50 2022 9 relations: 2487603 Wed Feb 16 22:21:50 2022 10+ relations: 13431886 Wed Feb 16 22:21:50 2022 heaviest cycle: 27 relations Wed Feb 16 22:21:58 2022 commencing cycle optimization Wed Feb 16 22:22:54 2022 start with 325029108 relations Wed Feb 16 22:29:26 2022 pruned 10476186 relations Wed Feb 16 22:29:27 2022 memory use: 9679.1 MB Wed Feb 16 22:29:27 2022 distribution of cycle lengths: Wed Feb 16 22:29:27 2022 1 relations: 4072592 Wed Feb 16 22:29:27 2022 2 relations: 3845520 Wed Feb 16 22:29:27 2022 3 relations: 3971540 Wed Feb 16 22:29:27 2022 4 relations: 3734645 Wed Feb 16 22:29:27 2022 5 relations: 3623602 Wed Feb 16 22:29:27 2022 6 relations: 3341279 Wed Feb 16 22:29:27 2022 7 relations: 3094394 Wed Feb 16 22:29:27 2022 8 relations: 2785327 Wed Feb 16 22:29:27 2022 9 relations: 2528372 Wed Feb 16 22:29:27 2022 10+ relations: 12669127 Wed Feb 16 22:29:27 2022 heaviest cycle: 27 relations Wed Feb 16 22:30:09 2022 RelProcTime: 8910 Wed Feb 16 22:31:00 2022 Wed Feb 16 22:31:00 2022 Wed Feb 16 22:31:00 2022 Msieve v. 1.54 (SVN unknown) Wed Feb 16 22:31:00 2022 random seeds: 0b08010f eaf9f057 Wed Feb 16 22:31:00 2022 MPI process 0 of 1 Wed Feb 16 22:31:00 2022 factoring 51578930581067683364712246470648754575547859544204494416682639186369708191170511796813769844989815356030793636516951005823853033136843878040207423438777859531071980737682922658424237441847940477236250134159969973913839323836340914369119915173296697165060318712911689331475534604820059 (284 digits) Wed Feb 16 22:31:01 2022 no P-1/P+1/ECM available, skipping Wed Feb 16 22:31:01 2022 commencing number field sieve (284-digit input) Wed Feb 16 22:31:01 2022 R0: 634892893303825859588614120705313034671418948077251743103 Wed Feb 16 22:31:01 2022 R1: -543832887154839374828056090431387400925159454345703125 Wed Feb 16 22:31:01 2022 A0: 75 Wed Feb 16 22:31:01 2022 A1: 0 Wed Feb 16 22:31:01 2022 A2: 0 Wed Feb 16 22:31:01 2022 A3: 0 Wed Feb 16 22:31:01 2022 A4: 0 Wed Feb 16 22:31:01 2022 A5: 1 Wed Feb 16 22:31:01 2022 skew 2.37, size 2.213e-19, alpha 0.711, combined = 3.235e-15 rroots = 1 Wed Feb 16 22:31:01 2022 Wed Feb 16 22:31:01 2022 commencing linear algebra Wed Feb 16 22:31:01 2022 using VBITS=384 Wed Feb 16 22:31:01 2022 initialized process (0,0) of 1 x 1 grid Wed Feb 16 22:31:03 2022 read 43666398 cycles Wed Feb 16 22:31:59 2022 cycles contain 153524181 unique relations Wed Feb 16 22:40:59 2022 read 153524181 relations Wed Feb 16 22:44:28 2022 using 20 quadratic characters above 4294917295 Wed Feb 16 22:51:35 2022 building initial matrix Wed Feb 16 23:11:48 2022 memory use: 20082.8 MB Wed Feb 16 23:12:08 2022 read 43666398 cycles Wed Feb 16 23:12:14 2022 matrix is 43666219 x 43666398 (19235.3 MB) with weight 5496830964 (125.88/col) Wed Feb 16 23:12:14 2022 sparse part has weight 4562098591 (104.48/col) Wed Feb 16 23:18:18 2022 filtering completed in 2 passes Wed Feb 16 23:18:26 2022 matrix is 43653439 x 43653610 (19234.3 MB) with weight 5496413265 (125.91/col) Wed Feb 16 23:18:26 2022 sparse part has weight 4561957333 (104.50/col) Wed Feb 16 23:19:49 2022 matrix starts at (0, 0) Wed Feb 16 23:19:54 2022 matrix is 43653439 x 43653610 (19234.3 MB) with weight 5496413265 (125.91/col) Wed Feb 16 23:19:54 2022 sparse part has weight 4561957333 (104.50/col) Wed Feb 16 23:19:54 2022 saving the first 368 matrix rows for later Wed Feb 16 23:20:02 2022 matrix includes 384 packed rows Wed Feb 16 23:20:19 2022 matrix is 43653071 x 43653610 (18142.3 MB) with weight 4078169128 (93.42/col) Wed Feb 16 23:20:19 2022 sparse part has weight 3882818486 (88.95/col) Wed Feb 16 23:20:19 2022 using GPU 0 (Tesla V100-PCIE-32GB) Wed Feb 16 23:20:19 2022 selected card has CUDA arch 7.0 Thu Feb 17 01:36:20 2022 Thu Feb 17 01:36:20 2022 Thu Feb 17 01:36:20 2022 Msieve v. 1.54 (SVN Unversioned directory) Thu Feb 17 01:36:20 2022 random seeds: 6bdb7cce d887b43b Thu Feb 17 01:36:20 2022 MPI process 0 of 320 Thu Feb 17 01:36:20 2022 factoring 51578930581067683364712246470648754575547859544204494416682639186369708191170511796813769844989815356030793636516951005823853033136843878040207423438777859531071980737682922658424237441847940477236250134159969973913839323836340914369119915173296697165060318712911689331475534604820059 (284 digits) Thu Feb 17 01:36:25 2022 no P-1/P+1/ECM available, skipping Thu Feb 17 01:36:25 2022 commencing number field sieve (284-digit input) Thu Feb 17 01:36:25 2022 R0: 634892893303825859588614120705313034671418948077251743103 Thu Feb 17 01:36:25 2022 R1: -543832887154839374828056090431387400925159454345703125 Thu Feb 17 01:36:25 2022 A0: 75 Thu Feb 17 01:36:25 2022 A1: 0 Thu Feb 17 01:36:25 2022 A2: 0 Thu Feb 17 01:36:25 2022 A3: 0 Thu Feb 17 01:36:25 2022 A4: 0 Thu Feb 17 01:36:25 2022 A5: 1 Thu Feb 17 01:36:25 2022 skew 2.37, size 2.213e-19, alpha 0.711, combined = 3.235e-15 rroots = 1 Thu Feb 17 01:36:25 2022 Thu Feb 17 01:36:25 2022 commencing linear algebra Thu Feb 17 01:36:25 2022 using VBITS=128 Thu Feb 17 01:36:25 2022 skipping matrix build Thu Feb 17 01:36:26 2022 initialized process (0,0) of 16 x 20 grid Thu Feb 17 01:36:30 2022 matrix starts at (0, 0) Thu Feb 17 01:36:30 2022 matrix is 2728459 x 1550805 (149.9 MB) with weight 55933628 (36.07/col) Thu Feb 17 01:36:30 2022 sparse part has weight 22245548 (14.34/col) Thu Feb 17 01:36:30 2022 saving the first 112 matrix rows for later Thu Feb 17 01:36:31 2022 matrix includes 128 packed rows Thu Feb 17 01:36:33 2022 matrix is 2728347 x 1550805 (114.7 MB) with weight 15557635 (10.03/col) Thu Feb 17 01:36:33 2022 sparse part has weight 11447254 ( 7.38/col) Thu Feb 17 01:36:33 2022 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Thu Feb 17 01:36:33 2022 commencing Lanczos iteration (12 threads) Thu Feb 17 01:36:33 2022 memory use: 160.0 MB Thu Feb 17 01:36:39 2022 linear algebra at 0.0%, ETA 7h56m Thu Feb 17 01:36:40 2022 checkpointing every 3670000 dimensions Thu Feb 17 09:12:14 2022 Thu Feb 17 09:12:14 2022 Thu Feb 17 09:12:14 2022 Msieve v. 1.54 (SVN Unversioned directory) Thu Feb 17 09:12:14 2022 random seeds: 034b8f94 e4a210ed Thu Feb 17 09:12:14 2022 MPI process 0 of 320 Thu Feb 17 09:12:14 2022 factoring 51578930581067683364712246470648754575547859544204494416682639186369708191170511796813769844989815356030793636516951005823853033136843878040207423438777859531071980737682922658424237441847940477236250134159969973913839323836340914369119915173296697165060318712911689331475534604820059 (284 digits) Thu Feb 17 09:12:19 2022 no P-1/P+1/ECM available, skipping Thu Feb 17 09:12:19 2022 commencing number field sieve (284-digit input) Thu Feb 17 09:12:19 2022 R0: 634892893303825859588614120705313034671418948077251743103 Thu Feb 17 09:12:19 2022 R1: -543832887154839374828056090431387400925159454345703125 Thu Feb 17 09:12:19 2022 A0: 75 Thu Feb 17 09:12:19 2022 A1: 0 Thu Feb 17 09:12:19 2022 A2: 0 Thu Feb 17 09:12:19 2022 A3: 0 Thu Feb 17 09:12:19 2022 A4: 0 Thu Feb 17 09:12:19 2022 A5: 1 Thu Feb 17 09:12:19 2022 skew 2.37, size 2.213e-19, alpha 0.711, combined = 3.235e-15 rroots = 1 Thu Feb 17 09:12:19 2022 Thu Feb 17 09:12:19 2022 commencing linear algebra Thu Feb 17 09:12:19 2022 using VBITS=128 Thu Feb 17 09:12:20 2022 initialized process (0,0) of 16 x 20 grid Thu Feb 17 09:12:24 2022 matrix starts at (0, 0) Thu Feb 17 09:12:24 2022 matrix is 2728459 x 1550805 (149.9 MB) with weight 55933628 (36.07/col) Thu Feb 17 09:12:24 2022 sparse part has weight 22245548 (14.34/col) Thu Feb 17 09:12:24 2022 saving the first 112 matrix rows for later Thu Feb 17 09:12:24 2022 matrix includes 128 packed rows Thu Feb 17 09:12:26 2022 matrix is 2728347 x 1550805 (114.7 MB) with weight 15557635 (10.03/col) Thu Feb 17 09:12:26 2022 sparse part has weight 11447254 ( 7.38/col) Thu Feb 17 09:12:26 2022 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Thu Feb 17 09:12:27 2022 commencing Lanczos iteration (12 threads) Thu Feb 17 09:12:27 2022 memory use: 160.0 MB Thu Feb 17 09:12:31 2022 restarting at iteration 201905 (dim = 25690044) Thu Feb 17 09:12:36 2022 linear algebra at 58.9%, ETA 16h24m Thu Feb 17 09:12:37 2022 checkpointing every 1220000 dimensions Thu Feb 17 14:20:26 2022 lanczos halted after 343085 iterations (dim = 43653325) Thu Feb 17 14:52:22 2022 recovered 34 nontrivial dependencies Thu Feb 17 14:52:22 2022 BLanczosTime: 20403 Thu Feb 17 14:52:22 2022 elapsed time 05:40:08 Thu Feb 17 15:11:05 2022 Thu Feb 17 15:11:05 2022 Thu Feb 17 15:11:05 2022 Msieve v. 1.54 (SVN unknown) Thu Feb 17 15:11:05 2022 random seeds: e6100ec9 fe75e557 Thu Feb 17 15:11:05 2022 MPI process 0 of 1 Thu Feb 17 15:11:05 2022 factoring 51578930581067683364712246470648754575547859544204494416682639186369708191170511796813769844989815356030793636516951005823853033136843878040207423438777859531071980737682922658424237441847940477236250134159969973913839323836340914369119915173296697165060318712911689331475534604820059 (284 digits) Thu Feb 17 15:11:06 2022 no P-1/P+1/ECM available, skipping Thu Feb 17 15:11:06 2022 commencing number field sieve (284-digit input) Thu Feb 17 15:11:06 2022 R0: 634892893303825859588614120705313034671418948077251743103 Thu Feb 17 15:11:06 2022 R1: -543832887154839374828056090431387400925159454345703125 Thu Feb 17 15:11:06 2022 A0: 75 Thu Feb 17 15:11:06 2022 A1: 0 Thu Feb 17 15:11:06 2022 A2: 0 Thu Feb 17 15:11:06 2022 A3: 0 Thu Feb 17 15:11:06 2022 A4: 0 Thu Feb 17 15:11:06 2022 A5: 1 Thu Feb 17 15:11:06 2022 skew 2.37, size 2.213e-19, alpha 0.711, combined = 3.235e-15 rroots = 1 Thu Feb 17 15:11:06 2022 Thu Feb 17 15:11:06 2022 commencing square root phase Thu Feb 17 15:11:06 2022 reading relations for dependency 1 Thu Feb 17 15:11:11 2022 read 21819850 cycles Thu Feb 17 15:11:43 2022 cycles contain 76741224 unique relations Thu Feb 17 15:17:37 2022 read 76741224 relations Thu Feb 17 15:23:17 2022 multiplying 76741224 relations Thu Feb 17 16:03:31 2022 multiply complete, coefficients have about 2176.48 million bits Thu Feb 17 16:03:38 2022 initial square root is modulo 76231 Thu Feb 17 16:47:21 2022 sqrtTime: 5775 Thu Feb 17 16:47:21 2022 p131 factor: 72230407952138683584803540612570461438697920637713247186057517839858786721577477962421004720726645022087473185849244433500644965091 Thu Feb 17 16:47:21 2022 p153 factor: 714088872587358454962440730988400613700697676166118135677688978759339918099381862461391819699914857315328043827051415433308664623845239903824910871236649 Thu Feb 17 16:47:21 2022 elapsed time 01:36:16