Wed May 19 21:57:25 2021 Wed May 19 21:57:25 2021 Msieve v. 1.54 (SVN 1030) Wed May 19 21:57:25 2021 random seeds: 2d6b3a5c 14c6aab4 Wed May 19 21:57:25 2021 factoring 29544677012240663064024751955267914884912993513785470029072153019084428298936247256214148245697246633912977846001470386885487079444850854596447112777378759838530018204391116371454387080515735224577361176237607175945720016378397667387528682521 (242 digits) Wed May 19 21:57:26 2021 no P-1/P+1/ECM available, skipping Wed May 19 21:57:26 2021 commencing number field sieve (242-digit input) Wed May 19 21:57:26 2021 R0: 684326450885775034048946719925754910487329 Wed May 19 21:57:26 2021 R1: 1 Wed May 19 21:57:26 2021 A0: 1 Wed May 19 21:57:26 2021 A1: 0 Wed May 19 21:57:26 2021 A2: 0 Wed May 19 21:57:26 2021 A3: 0 Wed May 19 21:57:26 2021 A4: 0 Wed May 19 21:57:26 2021 A5: 0 Wed May 19 21:57:26 2021 A6: 289 Wed May 19 21:57:26 2021 skew 1.00, size 1.005e-12, alpha 1.882, combined = 1.182e-13 rroots = 0 Wed May 19 21:57:26 2021 Wed May 19 21:57:26 2021 commencing relation filtering Wed May 19 21:57:26 2021 setting target matrix density to 120.0 Wed May 19 21:57:26 2021 estimated available RAM is 16021.5 MB Wed May 19 21:57:26 2021 commencing duplicate removal, pass 1 [ . . . skipped 310 error -n reading relation nnn messages . . . ] [ 47 error -1 ] [ 40 error -5 ] [ 117 error -9 ] [ 4 error -11 ] [ 102 error -15 ] Wed May 19 22:29:01 2021 skipped 1994 relations with b > 2^32 Wed May 19 22:29:01 2021 skipped 191 relations with composite factors Wed May 19 22:29:01 2021 found 37593195 hash collisions in 211833010 relations Wed May 19 22:29:17 2021 added 1219111 free relations Wed May 19 22:29:17 2021 commencing duplicate removal, pass 2 Wed May 19 22:31:46 2021 found 35719028 duplicates and 177333093 unique relations Wed May 19 22:31:46 2021 memory use: 1321.5 MB Wed May 19 22:31:46 2021 reading ideals above 157876224 Wed May 19 22:31:46 2021 commencing singleton removal, initial pass Wed May 19 22:55:11 2021 memory use: 3012.0 MB Wed May 19 22:55:12 2021 reading all ideals from disk Wed May 19 22:55:15 2021 memory use: 3008.9 MB Wed May 19 22:55:26 2021 commencing in-memory singleton removal Wed May 19 22:55:37 2021 begin with 177333093 relations and 155045622 unique ideals Wed May 19 22:58:04 2021 reduce to 104221196 relations and 73457372 ideals in 18 passes Wed May 19 22:58:04 2021 max relations containing the same ideal: 36 Wed May 19 22:58:09 2021 reading ideals above 720000 Wed May 19 22:58:09 2021 commencing singleton removal, initial pass Wed May 19 23:16:05 2021 memory use: 2756.0 MB Wed May 19 23:16:05 2021 reading all ideals from disk Wed May 19 23:16:10 2021 memory use: 4252.6 MB Wed May 19 23:16:28 2021 keeping 90619963 ideals with weight <= 200, target excess is 559379 Wed May 19 23:16:53 2021 commencing in-memory singleton removal Wed May 19 23:17:07 2021 begin with 104221196 relations and 90619963 unique ideals Wed May 19 23:19:42 2021 reduce to 104206029 relations and 90604792 ideals in 7 passes Wed May 19 23:19:42 2021 max relations containing the same ideal: 200 Wed May 19 23:21:16 2021 removing 12011400 relations and 10011400 ideals in 2000000 cliques Wed May 19 23:21:21 2021 commencing in-memory singleton removal Wed May 19 23:21:34 2021 begin with 92194629 relations and 90604792 unique ideals Wed May 19 23:24:29 2021 reduce to 91167175 relations and 79541289 ideals in 9 passes Wed May 19 23:24:29 2021 max relations containing the same ideal: 190 Wed May 19 23:25:51 2021 removing 9135938 relations and 7135938 ideals in 2000000 cliques Wed May 19 23:25:55 2021 commencing in-memory singleton removal Wed May 19 23:26:06 2021 begin with 82031237 relations and 79541289 unique ideals Wed May 19 23:28:23 2021 reduce to 81332751 relations and 71691870 ideals in 8 passes Wed May 19 23:28:23 2021 max relations containing the same ideal: 176 Wed May 19 23:29:37 2021 removing 8271101 relations and 6271101 ideals in 2000000 cliques Wed May 19 23:29:41 2021 commencing in-memory singleton removal Wed May 19 23:29:50 2021 begin with 73061650 relations and 71691870 unique ideals Wed May 19 23:31:35 2021 reduce to 72422777 relations and 64767532 ideals in 7 passes Wed May 19 23:31:35 2021 max relations containing the same ideal: 167 Wed May 19 23:32:42 2021 removing 7850490 relations and 5850490 ideals in 2000000 cliques Wed May 19 23:32:45 2021 commencing in-memory singleton removal Wed May 19 23:32:53 2021 begin with 64572287 relations and 64767532 unique ideals Wed May 19 23:34:10 2021 reduce to 63940117 relations and 58269463 ideals in 8 passes Wed May 19 23:34:10 2021 max relations containing the same ideal: 152 Wed May 19 23:34:51 2021 removing 7603421 relations and 5603421 ideals in 2000000 cliques Wed May 19 23:34:53 2021 commencing in-memory singleton removal Wed May 19 23:34:58 2021 begin with 56336696 relations and 58269463 unique ideals Wed May 19 23:35:47 2021 reduce to 55680073 relations and 51991603 ideals in 8 passes Wed May 19 23:35:47 2021 max relations containing the same ideal: 138 Wed May 19 23:36:20 2021 removing 7449057 relations and 5449057 ideals in 2000000 cliques Wed May 19 23:36:22 2021 commencing in-memory singleton removal Wed May 19 23:36:27 2021 begin with 48231016 relations and 51991603 unique ideals Wed May 19 23:37:02 2021 reduce to 47516656 relations and 45806259 ideals in 8 passes Wed May 19 23:37:02 2021 max relations containing the same ideal: 123 Wed May 19 23:37:25 2021 removing 4450373 relations and 3388856 ideals in 1061517 cliques Wed May 19 23:37:26 2021 commencing in-memory singleton removal Wed May 19 23:37:29 2021 begin with 43066283 relations and 45806259 unique ideals Wed May 19 23:37:52 2021 reduce to 42785693 relations and 42131427 ideals in 7 passes Wed May 19 23:37:52 2021 max relations containing the same ideal: 118 Wed May 19 23:38:21 2021 relations with 0 large ideals: 21253 Wed May 19 23:38:21 2021 relations with 1 large ideals: 3955 Wed May 19 23:38:21 2021 relations with 2 large ideals: 45937 Wed May 19 23:38:21 2021 relations with 3 large ideals: 395789 Wed May 19 23:38:21 2021 relations with 4 large ideals: 1863507 Wed May 19 23:38:21 2021 relations with 5 large ideals: 5334136 Wed May 19 23:38:21 2021 relations with 6 large ideals: 9646950 Wed May 19 23:38:21 2021 relations with 7+ large ideals: 25474166 Wed May 19 23:38:21 2021 commencing 2-way merge Wed May 19 23:39:14 2021 reduce to 27722767 relation sets and 27068501 unique ideals Wed May 19 23:39:14 2021 commencing full merge Thu May 20 00:01:58 2021 memory use: 3797.4 MB Thu May 20 00:02:03 2021 found 12720061 cycles, need 12710701 Thu May 20 00:02:09 2021 weight of 12710701 cycles is about 1525388070 (120.01/cycle) Thu May 20 00:02:09 2021 distribution of cycle lengths: Thu May 20 00:02:09 2021 1 relations: 621379 Thu May 20 00:02:09 2021 2 relations: 850922 Thu May 20 00:02:09 2021 3 relations: 960065 Thu May 20 00:02:09 2021 4 relations: 964325 Thu May 20 00:02:09 2021 5 relations: 968843 Thu May 20 00:02:09 2021 6 relations: 936383 Thu May 20 00:02:09 2021 7 relations: 903268 Thu May 20 00:02:09 2021 8 relations: 852388 Thu May 20 00:02:09 2021 9 relations: 795553 Thu May 20 00:02:09 2021 10+ relations: 4857575 Thu May 20 00:02:09 2021 heaviest cycle: 28 relations Thu May 20 00:02:15 2021 commencing cycle optimization Thu May 20 00:03:01 2021 start with 109930602 relations Thu May 20 00:10:54 2021 pruned 4888297 relations Thu May 20 00:10:54 2021 memory use: 2912.1 MB Thu May 20 00:10:54 2021 distribution of cycle lengths: Thu May 20 00:10:54 2021 1 relations: 621379 Thu May 20 00:10:54 2021 2 relations: 871173 Thu May 20 00:10:54 2021 3 relations: 1000195 Thu May 20 00:10:54 2021 4 relations: 1003270 Thu May 20 00:10:54 2021 5 relations: 1014901 Thu May 20 00:10:54 2021 6 relations: 978478 Thu May 20 00:10:54 2021 7 relations: 945417 Thu May 20 00:10:54 2021 8 relations: 888638 Thu May 20 00:10:54 2021 9 relations: 827935 Thu May 20 00:10:54 2021 10+ relations: 4559315 Thu May 20 00:10:54 2021 heaviest cycle: 28 relations Thu May 20 00:11:27 2021 RelProcTime: 8041 Thu May 20 00:11:27 2021 elapsed time 02:14:02 Thu May 20 00:18:01 2021 Thu May 20 00:18:01 2021 Thu May 20 00:18:01 2021 Msieve v. 1.54 (SVN 1030) Thu May 20 00:18:01 2021 random seeds: eceb990d 957edb06 Thu May 20 00:18:01 2021 factoring 29544677012240663064024751955267914884912993513785470029072153019084428298936247256214148245697246633912977846001470386885487079444850854596447112777378759838530018204391116371454387080515735224577361176237607175945720016378397667387528682521 (242 digits) Thu May 20 00:18:02 2021 no P-1/P+1/ECM available, skipping Thu May 20 00:18:02 2021 commencing number field sieve (242-digit input) Thu May 20 00:18:02 2021 R0: 684326450885775034048946719925754910487329 Thu May 20 00:18:02 2021 R1: 1 Thu May 20 00:18:02 2021 A0: 1 Thu May 20 00:18:02 2021 A1: 0 Thu May 20 00:18:02 2021 A2: 0 Thu May 20 00:18:02 2021 A3: 0 Thu May 20 00:18:02 2021 A4: 0 Thu May 20 00:18:02 2021 A5: 0 Thu May 20 00:18:02 2021 A6: 289 Thu May 20 00:18:02 2021 skew 1.00, size 1.005e-12, alpha 1.882, combined = 1.182e-13 rroots = 0 Thu May 20 00:18:02 2021 Thu May 20 00:18:02 2021 commencing linear algebra Thu May 20 00:18:04 2021 read 12710701 cycles Thu May 20 00:18:24 2021 cycles contain 42367874 unique relations Thu May 20 00:21:20 2021 read 42367874 relations Thu May 20 00:23:04 2021 using 20 quadratic characters above 4294917295 Thu May 20 00:25:36 2021 building initial matrix Thu May 20 00:33:36 2021 memory use: 5442.6 MB Thu May 20 00:33:42 2021 read 12710701 cycles Thu May 20 00:33:43 2021 matrix is 12710524 x 12710701 (5972.3 MB) with weight 1693035199 (133.20/col) Thu May 20 00:33:43 2021 sparse part has weight 1425777663 (112.17/col) Thu May 20 00:35:49 2021 filtering completed in 2 passes Thu May 20 00:35:52 2021 matrix is 12710432 x 12710609 (5972.3 MB) with weight 1693032301 (133.20/col) Thu May 20 00:35:52 2021 sparse part has weight 1425776735 (112.17/col) Thu May 20 00:36:31 2021 matrix starts at (0, 0) Thu May 20 00:36:32 2021 matrix is 12710432 x 12710609 (5972.3 MB) with weight 1693032301 (133.20/col) Thu May 20 00:36:32 2021 sparse part has weight 1425776735 (112.17/col) Thu May 20 00:36:32 2021 saving the first 48 matrix rows for later Thu May 20 00:36:34 2021 matrix includes 64 packed rows Thu May 20 00:36:35 2021 matrix is 12710384 x 12710609 (5714.8 MB) with weight 1460084898 (114.87/col) Thu May 20 00:36:35 2021 sparse part has weight 1371004534 (107.86/col) Thu May 20 00:36:35 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB Thu May 20 00:37:17 2021 commencing Lanczos iteration (12 threads) Thu May 20 00:37:17 2021 memory use: 5490.7 MB Thu May 20 00:38:13 2021 linear algebra at 0.0%, ETA 125h44m Thu May 20 00:38:30 2021 checkpointing every 110000 dimensions Tue May 25 04:54:38 2021 lanczos halted after 201003 iterations (dim = 12710377) Tue May 25 04:54:51 2021 recovered 33 nontrivial dependencies Tue May 25 04:54:51 2021 BLanczosTime: 448609 Tue May 25 04:54:51 2021 elapsed time 124:36:50 Tue May 25 04:54:52 2021 Tue May 25 04:54:52 2021 Tue May 25 04:54:52 2021 Msieve v. 1.54 (SVN 1030) Tue May 25 04:54:52 2021 random seeds: cbf158b0 5e65315c Tue May 25 04:54:52 2021 factoring 29544677012240663064024751955267914884912993513785470029072153019084428298936247256214148245697246633912977846001470386885487079444850854596447112777378759838530018204391116371454387080515735224577361176237607175945720016378397667387528682521 (242 digits) Tue May 25 04:54:53 2021 no P-1/P+1/ECM available, skipping Tue May 25 04:54:53 2021 commencing number field sieve (242-digit input) Tue May 25 04:54:53 2021 R0: 684326450885775034048946719925754910487329 Tue May 25 04:54:53 2021 R1: 1 Tue May 25 04:54:53 2021 A0: 1 Tue May 25 04:54:53 2021 A1: 0 Tue May 25 04:54:53 2021 A2: 0 Tue May 25 04:54:53 2021 A3: 0 Tue May 25 04:54:53 2021 A4: 0 Tue May 25 04:54:53 2021 A5: 0 Tue May 25 04:54:53 2021 A6: 289 Tue May 25 04:54:53 2021 skew 1.00, size 1.005e-12, alpha 1.882, combined = 1.182e-13 rroots = 0 Tue May 25 04:54:53 2021 Tue May 25 04:54:53 2021 commencing square root phase Tue May 25 04:54:53 2021 reading relations for dependency 1 Tue May 25 04:54:54 2021 read 6354987 cycles Tue May 25 04:55:05 2021 cycles contain 21187058 unique relations Tue May 25 04:56:44 2021 read 21187058 relations Tue May 25 04:58:05 2021 multiplying 21187058 relations Tue May 25 05:13:50 2021 multiply complete, coefficients have about 709.71 million bits Tue May 25 05:13:54 2021 initial square root is modulo 2329291 Tue May 25 05:30:32 2021 GCD is 1, no factor found Tue May 25 05:30:32 2021 reading relations for dependency 2 Tue May 25 05:30:33 2021 read 6359201 cycles Tue May 25 05:30:44 2021 cycles contain 21185350 unique relations Tue May 25 05:32:23 2021 read 21185350 relations Tue May 25 05:33:44 2021 multiplying 21185350 relations Tue May 25 05:49:31 2021 multiply complete, coefficients have about 709.66 million bits Tue May 25 05:49:34 2021 initial square root is modulo 2326963 Tue May 25 06:06:34 2021 sqrtTime: 4301 Tue May 25 06:06:34 2021 p76 factor: 3364586756152586785400953506793281320745582772066639232139396747532940408629 Tue May 25 06:06:34 2021 p166 factor: 8781071541167532190447165168627849418010847864416034400475664116876899096758385632634619768999002913974745547629107250366596735192327130196017561982156901411474299349 Tue May 25 06:06:34 2021 elapsed time 01:11:42 *********** Processing f17_206p1.log ************* http://factordb.com/report.php?report=29544677012240663064024751955267914884912993513785470029072153019084428298936247256214148245697246633912977846001470386885487079444850854596447112777378759838530018204391116371454387080515735224577361176237607175945720016378397667387528682521%3D3364586756152586785400953506793281320745582772066639232139396747532940408629*8781071541167532190447165168627849418010847864416034400475664116876899096758385632634619768999002913974745547629107250366596735192327130196017561982156901411474299349 1 new factor added to factordb 1 factor already known by factordb 1 Thank you for your contribution