Changes of Phin10.txt <April 2022> Phin10.txt の更新履歴 <2022 年 4 月>
- Repunit レピュニット - Factorization 素因数分解 - STUDIO KAMADA

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n=1441: c1239(1709886221......) = 1314434306697830924275628881502710792058563 * c1197(1300853311......)

# ECM B1=11e6, sigma=0:281840436550688

n=50063: c46181(9223786858......) = 4102384153439750219081587 * c46157(2248396667......)

# ECM B1=25e4, sigma=0:6244918942670668

# via Kurt Beschorner

n=45989: c45989(1111111111......) = 660056492305443457540399 * c45965(1683357597......)

# ECM B1=5e4, sigma=7793369107252965

n=80911: c80911(1111111111......) = 4885219645269106864075111 * c80886(2274434297......)

# ECM B1=5e4, sigma=4865999027539681

# 206942 of 300000 Φ_{n}(10) factorizations were cracked. 300000 個中 206942 個の Φ_{n}(10) の素因数が見つかりました。

# 19955 of 25997 R_{prime} factorizations were cracked. 25997 個中 19955 個の R_{prime} の素因数が見つかりました。

n=50061: c28800(9009009009......) = 20631292838324832743226551317 * c28772(4366672064......)

# ECM B1=25e4, sigma=0:6326572938999362

n=113489: c113446(1145098626......) = 6294021289926306917 * c113427(1819343427......)

n=113779: c113755(3961546683......) = 104544335152862999 * c113738(3789346096......)

n=113963: c113954(1009709308......) = 6129976650930936107 * c113935(1647166646......)

n=114193: c114156(1665911239......) = 447099731123899643 * c114138(3726039456......)

n=114547: c114512(4299999818......) = 896705230860005471 * c114494(4795332591......)

n=114641: c114613(7686197185......) = 5661704334072995053 * c114595(1357576576......)

# gr-mfaktc

# 206940 of 300000 Φ_{n}(10) factorizations were cracked. 300000 個中 206940 個の Φ_{n}(10) の素因数が見つかりました。

n=718: c329(1830721976......) = 2731764846587782091546914066524656594612608438032609803989298453 * c265(6701608956......)

# ECM

n=323: c271(1056451947......) = 1000889286725563474405662045911093540900908710082344227506919162972107 * c202(1055513293......)

n=323: c202(1055513293......) = 2024740873938190513425266673474911634048354422503451267887726938473483 * p132(5213078408......)

# SNFS

# 1199 of 300000 Φ_{n}(10) factorizations were finished. 300000 個中 1199 個の Φ_{n}(10) の素因数分解が終わりました。

Wed Apr 13 21:51:36 2022 Wed Apr 13 21:51:36 2022 Wed Apr 13 21:51:36 2022 Msieve v. 1.54 (SVN Unversioned directory) Wed Apr 13 21:51:36 2022 random seeds: 10451e0a 3ac7f220 Wed Apr 13 21:51:36 2022 MPI process 0 of 1 Wed Apr 13 21:51:36 2022 factoring 1056451947256486910979047656080778871099133607305218026381676926013258296263666236117636528131018402299873694829461264849653221413719797346360654189071297780240211263216623630905609430166398514228896863880648389230991814006930996022251242719776759218947985196989907530733 (271 digits) Wed Apr 13 21:51:37 2022 no P-1/P+1/ECM available, skipping Wed Apr 13 21:51:37 2022 commencing number field sieve (271-digit input) Wed Apr 13 21:51:37 2022 R0: -1000000000000000000000000000000000000000000000000000000 Wed Apr 13 21:51:37 2022 R1: 1 Wed Apr 13 21:51:37 2022 A0: -10 Wed Apr 13 21:51:37 2022 A1: 0 Wed Apr 13 21:51:37 2022 A2: 0 Wed Apr 13 21:51:37 2022 A3: 0 Wed Apr 13 21:51:37 2022 A4: 0 Wed Apr 13 21:51:37 2022 A5: 0 Wed Apr 13 21:51:37 2022 A6: 1 Wed Apr 13 21:51:37 2022 skew 1.47, size 8.887e-16, alpha 1.180, combined = 4.681e-16 rroots = 2 Wed Apr 13 21:51:37 2022 Wed Apr 13 21:51:37 2022 commencing relation filtering Wed Apr 13 21:51:37 2022 setting target matrix density to 130.0 Wed Apr 13 21:51:37 2022 estimated available RAM is 257753.8 MB Wed Apr 13 21:51:37 2022 commencing duplicate removal, pass 1 Thu Apr 14 01:45:52 2022 skipped 1808897 relations with b > 2^32 Thu Apr 14 01:45:52 2022 skipped 952 relations with composite factors Thu Apr 14 01:45:52 2022 found 367630981 hash collisions in 1556860230 relations Thu Apr 14 01:46:07 2022 added 1218323 free relations Thu Apr 14 01:46:07 2022 commencing duplicate removal, pass 2 Thu Apr 14 02:06:58 2022 found 4 duplicates and 1558078549 unique relations Thu Apr 14 02:06:58 2022 memory use: 16280.0 MB Thu Apr 14 02:06:59 2022 reading ideals above 942604288 Thu Apr 14 02:06:59 2022 commencing singleton removal, initial pass Thu Apr 14 05:40:48 2022 memory use: 21024.0 MB Thu Apr 14 05:40:49 2022 reading all ideals from disk Thu Apr 14 05:46:25 2022 memory use: 31163.6 MB Thu Apr 14 05:49:22 2022 commencing in-memory singleton removal Thu Apr 14 05:51:49 2022 begin with 1558078549 relations and 1233362732 unique ideals Thu Apr 14 06:23:45 2022 reduce to 1136977939 relations and 778004868 ideals in 14 passes Thu Apr 14 06:23:45 2022 max relations containing the same ideal: 40 Thu Apr 14 06:26:11 2022 reading ideals above 720000 Thu Apr 14 06:26:12 2022 commencing singleton removal, initial pass Thu Apr 14 10:23:41 2022 memory use: 21024.0 MB Thu Apr 14 10:23:43 2022 reading all ideals from disk Thu Apr 14 10:35:12 2022 memory use: 53961.2 MB Thu Apr 14 10:40:22 2022 keeping 867331344 ideals with weight <= 200, target excess is 6810938 Thu Apr 14 10:46:18 2022 commencing in-memory singleton removal Thu Apr 14 10:48:56 2022 begin with 1136977939 relations and 867331344 unique ideals Thu Apr 14 11:06:37 2022 reduce to 1136977446 relations and 867330851 ideals in 7 passes Thu Apr 14 11:06:37 2022 max relations containing the same ideal: 200 Thu Apr 14 11:25:45 2022 removing 15118407 relations and 13118407 ideals in 2000000 cliques Thu Apr 14 11:26:32 2022 commencing in-memory singleton removal Thu Apr 14 11:29:57 2022 begin with 1121859039 relations and 867330851 unique ideals Thu Apr 14 11:57:15 2022 reduce to 1121722195 relations and 854075161 ideals in 7 passes Thu Apr 14 11:57:15 2022 max relations containing the same ideal: 200 Thu Apr 14 12:21:27 2022 removing 11607504 relations and 9607504 ideals in 2000000 cliques Thu Apr 14 12:22:07 2022 commencing in-memory singleton removal Thu Apr 14 12:25:23 2022 begin with 1110114691 relations and 854075161 unique ideals Thu Apr 14 12:51:29 2022 reduce to 1110025430 relations and 844378172 ideals in 7 passes Thu Apr 14 12:51:29 2022 max relations containing the same ideal: 200 Thu Apr 14 13:14:25 2022 removing 10443589 relations and 8443589 ideals in 2000000 cliques Thu Apr 14 13:15:04 2022 commencing in-memory singleton removal Thu Apr 14 13:18:18 2022 begin with 1099581841 relations and 844378172 unique ideals Thu Apr 14 13:44:05 2022 reduce to 1099507419 relations and 835859993 ideals in 7 passes Thu Apr 14 13:44:05 2022 max relations containing the same ideal: 200 Thu Apr 14 14:06:35 2022 removing 9747584 relations and 7747584 ideals in 2000000 cliques Thu Apr 14 14:07:14 2022 commencing in-memory singleton removal Thu Apr 14 14:10:25 2022 begin with 1089759835 relations and 835859993 unique ideals Thu Apr 14 14:32:30 2022 reduce to 1089692668 relations and 828045086 ideals in 6 passes Thu Apr 14 14:32:30 2022 max relations containing the same ideal: 200 Thu Apr 14 14:55:22 2022 removing 9258328 relations and 7258328 ideals in 2000000 cliques Thu Apr 14 14:56:02 2022 commencing in-memory singleton removal Thu Apr 14 14:59:13 2022 begin with 1080434340 relations and 828045086 unique ideals Thu Apr 14 15:21:04 2022 reduce to 1080373038 relations and 820725332 ideals in 6 passes Thu Apr 14 15:21:04 2022 max relations containing the same ideal: 200 Thu Apr 14 15:43:49 2022 removing 8887953 relations and 6887953 ideals in 2000000 cliques Thu Apr 14 15:44:26 2022 commencing in-memory singleton removal Thu Apr 14 15:47:33 2022 begin with 1071485085 relations and 820725332 unique ideals Thu Apr 14 16:08:55 2022 reduce to 1071427049 relations and 813779236 ideals in 6 passes Thu Apr 14 16:08:55 2022 max relations containing the same ideal: 200 Thu Apr 14 16:30:09 2022 removing 8589251 relations and 6589251 ideals in 2000000 cliques Thu Apr 14 16:30:45 2022 commencing in-memory singleton removal Thu Apr 14 16:33:52 2022 begin with 1062837798 relations and 813779236 unique ideals Thu Apr 14 16:55:12 2022 reduce to 1062782932 relations and 807135022 ideals in 6 passes Thu Apr 14 16:55:12 2022 max relations containing the same ideal: 199 Thu Apr 14 17:16:20 2022 removing 8346111 relations and 6346111 ideals in 2000000 cliques Thu Apr 14 17:16:56 2022 commencing in-memory singleton removal Thu Apr 14 17:20:00 2022 begin with 1054436821 relations and 807135022 unique ideals Thu Apr 14 17:37:32 2022 reduce to 1054384060 relations and 800736053 ideals in 5 passes Thu Apr 14 17:37:32 2022 max relations containing the same ideal: 199 Thu Apr 14 17:58:09 2022 removing 8143174 relations and 6143174 ideals in 2000000 cliques Thu Apr 14 17:58:47 2022 commencing in-memory singleton removal Thu Apr 14 18:01:49 2022 begin with 1046240886 relations and 800736053 unique ideals Thu Apr 14 18:22:52 2022 reduce to 1046189912 relations and 794541797 ideals in 6 passes Thu Apr 14 18:22:52 2022 max relations containing the same ideal: 198 Thu Apr 14 18:44:37 2022 removing 7963359 relations and 5963359 ideals in 2000000 cliques Thu Apr 14 18:45:13 2022 commencing in-memory singleton removal Thu Apr 14 18:48:15 2022 begin with 1038226553 relations and 794541797 unique ideals Thu Apr 14 19:09:10 2022 reduce to 1038177334 relations and 788529104 ideals in 6 passes Thu Apr 14 19:09:10 2022 max relations containing the same ideal: 197 Thu Apr 14 19:29:41 2022 removing 7806203 relations and 5806203 ideals in 2000000 cliques Thu Apr 14 19:30:16 2022 commencing in-memory singleton removal Thu Apr 14 19:33:13 2022 begin with 1030371131 relations and 788529104 unique ideals Thu Apr 14 19:53:38 2022 reduce to 1030323615 relations and 782675268 ideals in 6 passes Thu Apr 14 19:53:38 2022 max relations containing the same ideal: 197 Thu Apr 14 20:13:37 2022 removing 7672572 relations and 5672572 ideals in 2000000 cliques Thu Apr 14 20:14:12 2022 commencing in-memory singleton removal Thu Apr 14 20:17:09 2022 begin with 1022651043 relations and 782675268 unique ideals Thu Apr 14 20:37:33 2022 reduce to 1022604059 relations and 776955629 ideals in 6 passes Thu Apr 14 20:37:33 2022 max relations containing the same ideal: 196 Thu Apr 14 20:57:31 2022 removing 7551734 relations and 5551734 ideals in 2000000 cliques Thu Apr 14 20:58:06 2022 commencing in-memory singleton removal Thu Apr 14 21:01:00 2022 begin with 1015052325 relations and 776955629 unique ideals Thu Apr 14 21:21:06 2022 reduce to 1015006143 relations and 771357596 ideals in 6 passes Thu Apr 14 21:21:06 2022 max relations containing the same ideal: 196 Thu Apr 14 21:40:40 2022 removing 7445506 relations and 5445506 ideals in 2000000 cliques Thu Apr 14 21:41:13 2022 commencing in-memory singleton removal Thu Apr 14 21:44:07 2022 begin with 1007560637 relations and 771357596 unique ideals Thu Apr 14 22:00:53 2022 reduce to 1007515019 relations and 765866381 ideals in 5 passes Thu Apr 14 22:00:53 2022 max relations containing the same ideal: 195 Thu Apr 14 22:20:22 2022 removing 7349610 relations and 5349610 ideals in 2000000 cliques Thu Apr 14 22:20:55 2022 commencing in-memory singleton removal Thu Apr 14 22:23:47 2022 begin with 1000165409 relations and 765866381 unique ideals Thu Apr 14 22:43:29 2022 reduce to 1000120835 relations and 760472089 ideals in 6 passes Thu Apr 14 22:43:29 2022 max relations containing the same ideal: 194 Thu Apr 14 23:02:36 2022 removing 7258341 relations and 5258341 ideals in 2000000 cliques Thu Apr 14 23:03:10 2022 commencing in-memory singleton removal Thu Apr 14 23:06:00 2022 begin with 992862494 relations and 760472089 unique ideals Thu Apr 14 23:25:33 2022 reduce to 992818240 relations and 755169393 ideals in 6 passes Thu Apr 14 23:25:33 2022 max relations containing the same ideal: 194 Thu Apr 14 23:44:29 2022 removing 7176440 relations and 5176440 ideals in 2000000 cliques Thu Apr 14 23:45:02 2022 commencing in-memory singleton removal Thu Apr 14 23:47:51 2022 begin with 985641800 relations and 755169393 unique ideals Fri Apr 15 00:04:01 2022 reduce to 985598719 relations and 749949777 ideals in 5 passes Fri Apr 15 00:04:01 2022 max relations containing the same ideal: 193 Fri Apr 15 00:22:43 2022 removing 7104040 relations and 5104040 ideals in 2000000 cliques Fri Apr 15 00:23:15 2022 commencing in-memory singleton removal Fri Apr 15 00:25:56 2022 begin with 978494679 relations and 749949777 unique ideals Fri Apr 15 00:41:29 2022 reduce to 978452378 relations and 744803334 ideals in 5 passes Fri Apr 15 00:41:29 2022 max relations containing the same ideal: 193 Fri Apr 15 00:59:42 2022 removing 7034284 relations and 5034284 ideals in 2000000 cliques Fri Apr 15 01:00:15 2022 commencing in-memory singleton removal Fri Apr 15 01:02:49 2022 begin with 971418094 relations and 744803334 unique ideals Fri Apr 15 01:17:42 2022 reduce to 971375619 relations and 739726465 ideals in 5 passes Fri Apr 15 01:17:42 2022 max relations containing the same ideal: 192 Fri Apr 15 01:35:33 2022 removing 6972249 relations and 4972249 ideals in 2000000 cliques Fri Apr 15 01:36:06 2022 commencing in-memory singleton removal Fri Apr 15 01:38:35 2022 begin with 964403370 relations and 739726465 unique ideals Fri Apr 15 01:52:52 2022 reduce to 964360574 relations and 734711321 ideals in 5 passes Fri Apr 15 01:52:52 2022 max relations containing the same ideal: 191 Fri Apr 15 02:10:20 2022 removing 6911253 relations and 4911253 ideals in 2000000 cliques Fri Apr 15 02:10:51 2022 commencing in-memory singleton removal Fri Apr 15 02:13:14 2022 begin with 957449321 relations and 734711321 unique ideals Fri Apr 15 02:29:38 2022 reduce to 957406687 relations and 729757318 ideals in 6 passes Fri Apr 15 02:29:38 2022 max relations containing the same ideal: 189 Fri Apr 15 02:46:38 2022 removing 6859471 relations and 4859471 ideals in 2000000 cliques Fri Apr 15 02:47:09 2022 commencing in-memory singleton removal Fri Apr 15 02:49:26 2022 begin with 950547216 relations and 729757318 unique ideals Fri Apr 15 03:02:28 2022 reduce to 950505241 relations and 724855750 ideals in 5 passes Fri Apr 15 03:02:28 2022 max relations containing the same ideal: 189 Fri Apr 15 03:19:04 2022 removing 6808605 relations and 4808605 ideals in 2000000 cliques Fri Apr 15 03:19:36 2022 commencing in-memory singleton removal Fri Apr 15 03:21:47 2022 begin with 943696636 relations and 724855750 unique ideals Fri Apr 15 03:34:08 2022 reduce to 943654827 relations and 720005209 ideals in 5 passes Fri Apr 15 03:34:08 2022 max relations containing the same ideal: 188 Fri Apr 15 03:50:09 2022 removing 6758688 relations and 4758688 ideals in 2000000 cliques Fri Apr 15 03:50:40 2022 commencing in-memory singleton removal Fri Apr 15 03:52:45 2022 begin with 936896139 relations and 720005209 unique ideals Fri Apr 15 04:06:45 2022 reduce to 936854554 relations and 715204821 ideals in 6 passes Fri Apr 15 04:06:45 2022 max relations containing the same ideal: 187 Fri Apr 15 04:22:22 2022 removing 6714834 relations and 4714834 ideals in 2000000 cliques Fri Apr 15 04:22:53 2022 commencing in-memory singleton removal Fri Apr 15 04:24:51 2022 begin with 930139720 relations and 715204821 unique ideals Fri Apr 15 04:35:56 2022 reduce to 930098506 relations and 710448637 ideals in 5 passes Fri Apr 15 04:35:56 2022 max relations containing the same ideal: 186 Fri Apr 15 04:51:08 2022 removing 6672627 relations and 4672627 ideals in 2000000 cliques Fri Apr 15 04:51:38 2022 commencing in-memory singleton removal Fri Apr 15 04:53:32 2022 begin with 923425879 relations and 710448637 unique ideals Fri Apr 15 05:03:57 2022 reduce to 923385291 relations and 705735286 ideals in 5 passes Fri Apr 15 05:03:57 2022 max relations containing the same ideal: 185 Fri Apr 15 05:18:58 2022 removing 6633469 relations and 4633469 ideals in 2000000 cliques Fri Apr 15 05:19:30 2022 commencing in-memory singleton removal Fri Apr 15 05:21:19 2022 begin with 916751822 relations and 705735286 unique ideals Fri Apr 15 05:31:10 2022 reduce to 916710866 relations and 701060712 ideals in 5 passes Fri Apr 15 05:31:10 2022 max relations containing the same ideal: 185 Fri Apr 15 05:45:48 2022 removing 6595823 relations and 4595823 ideals in 2000000 cliques Fri Apr 15 05:46:18 2022 commencing in-memory singleton removal Fri Apr 15 05:48:04 2022 begin with 910115043 relations and 701060712 unique ideals Fri Apr 15 05:57:26 2022 reduce to 910073633 relations and 696423333 ideals in 5 passes Fri Apr 15 05:57:26 2022 max relations containing the same ideal: 185 Fri Apr 15 06:11:39 2022 removing 6560184 relations and 4560184 ideals in 2000000 cliques Fri Apr 15 06:12:09 2022 commencing in-memory singleton removal Fri Apr 15 06:13:53 2022 begin with 903513449 relations and 696423333 unique ideals Fri Apr 15 06:23:05 2022 reduce to 903472076 relations and 691821615 ideals in 5 passes Fri Apr 15 06:23:05 2022 max relations containing the same ideal: 183 Fri Apr 15 06:36:56 2022 removing 6525801 relations and 4525801 ideals in 2000000 cliques Fri Apr 15 06:37:25 2022 commencing in-memory singleton removal Fri Apr 15 06:39:09 2022 begin with 896946275 relations and 691821615 unique ideals Fri Apr 15 06:48:15 2022 reduce to 896905090 relations and 687254482 ideals in 5 passes Fri Apr 15 06:48:15 2022 max relations containing the same ideal: 183 Fri Apr 15 07:01:47 2022 removing 6495980 relations and 4495980 ideals in 2000000 cliques Fri Apr 15 07:02:16 2022 commencing in-memory singleton removal Fri Apr 15 07:03:59 2022 begin with 890409110 relations and 687254482 unique ideals Fri Apr 15 07:14:49 2022 reduce to 890367875 relations and 682717107 ideals in 6 passes Fri Apr 15 07:14:49 2022 max relations containing the same ideal: 182 Fri Apr 15 07:28:00 2022 removing 6461635 relations and 4461635 ideals in 2000000 cliques Fri Apr 15 07:28:30 2022 commencing in-memory singleton removal Fri Apr 15 07:30:11 2022 begin with 883906240 relations and 682717107 unique ideals Fri Apr 15 07:39:08 2022 reduce to 883865202 relations and 678214273 ideals in 5 passes Fri Apr 15 07:39:08 2022 max relations containing the same ideal: 182 Fri Apr 15 07:51:58 2022 removing 6433964 relations and 4433964 ideals in 2000000 cliques Fri Apr 15 07:52:27 2022 commencing in-memory singleton removal Fri Apr 15 07:54:09 2022 begin with 877431238 relations and 678214273 unique ideals Fri Apr 15 08:03:07 2022 reduce to 877390036 relations and 673738936 ideals in 5 passes Fri Apr 15 08:03:07 2022 max relations containing the same ideal: 180 Fri Apr 15 08:15:41 2022 removing 6405365 relations and 4405365 ideals in 2000000 cliques Fri Apr 15 08:16:09 2022 commencing in-memory singleton removal Fri Apr 15 08:17:50 2022 begin with 870984671 relations and 673738936 unique ideals Fri Apr 15 08:26:42 2022 reduce to 870943573 relations and 669292293 ideals in 5 passes Fri Apr 15 08:26:42 2022 max relations containing the same ideal: 179 Fri Apr 15 08:40:43 2022 removing 6378332 relations and 4378332 ideals in 2000000 cliques Fri Apr 15 08:41:15 2022 commencing in-memory singleton removal Fri Apr 15 08:43:54 2022 begin with 864565241 relations and 669292293 unique ideals Fri Apr 15 08:59:04 2022 reduce to 864523630 relations and 664872185 ideals in 5 passes Fri Apr 15 08:59:04 2022 max relations containing the same ideal: 179 Fri Apr 15 09:10:40 2022 removing 6354281 relations and 4354281 ideals in 2000000 cliques Fri Apr 15 09:11:08 2022 commencing in-memory singleton removal Fri Apr 15 09:12:45 2022 begin with 858169349 relations and 664872185 unique ideals Fri Apr 15 09:21:31 2022 reduce to 858127800 relations and 660476184 ideals in 5 passes Fri Apr 15 09:21:31 2022 max relations containing the same ideal: 178 Fri Apr 15 09:35:59 2022 removing 6330384 relations and 4330384 ideals in 2000000 cliques Fri Apr 15 09:36:27 2022 commencing in-memory singleton removal Fri Apr 15 09:38:04 2022 begin with 851797416 relations and 660476184 unique ideals Fri Apr 15 09:46:43 2022 reduce to 851756395 relations and 656104599 ideals in 5 passes Fri Apr 15 09:46:43 2022 max relations containing the same ideal: 177 Fri Apr 15 09:57:31 2022 removing 6307131 relations and 4307131 ideals in 2000000 cliques Fri Apr 15 09:57:59 2022 commencing in-memory singleton removal Fri Apr 15 09:59:36 2022 begin with 845449264 relations and 656104599 unique ideals Fri Apr 15 10:11:50 2022 reduce to 845407434 relations and 651755454 ideals in 5 passes Fri Apr 15 10:11:50 2022 max relations containing the same ideal: 177 Fri Apr 15 10:22:26 2022 removing 6285223 relations and 4285223 ideals in 2000000 cliques Fri Apr 15 10:22:54 2022 commencing in-memory singleton removal Fri Apr 15 10:24:30 2022 begin with 839122211 relations and 651755454 unique ideals Fri Apr 15 10:34:40 2022 reduce to 839080556 relations and 647428362 ideals in 6 passes Fri Apr 15 10:34:40 2022 max relations containing the same ideal: 175 Fri Apr 15 10:49:13 2022 removing 6262136 relations and 4262136 ideals in 2000000 cliques Fri Apr 15 10:49:41 2022 commencing in-memory singleton removal Fri Apr 15 10:51:16 2022 begin with 832818420 relations and 647428362 unique ideals Fri Apr 15 10:59:43 2022 reduce to 832776628 relations and 643124228 ideals in 5 passes Fri Apr 15 10:59:43 2022 max relations containing the same ideal: 175 Fri Apr 15 11:10:43 2022 removing 6242074 relations and 4242074 ideals in 2000000 cliques Fri Apr 15 11:11:14 2022 commencing in-memory singleton removal Fri Apr 15 11:14:45 2022 begin with 826534554 relations and 643124228 unique ideals Fri Apr 15 11:23:45 2022 reduce to 826492867 relations and 638840258 ideals in 5 passes Fri Apr 15 11:23:45 2022 max relations containing the same ideal: 174 Fri Apr 15 11:33:51 2022 removing 6224870 relations and 4224870 ideals in 2000000 cliques Fri Apr 15 11:34:18 2022 commencing in-memory singleton removal Fri Apr 15 11:35:49 2022 begin with 820267997 relations and 638840258 unique ideals Fri Apr 15 11:45:15 2022 reduce to 820225444 relations and 634572640 ideals in 5 passes Fri Apr 15 11:45:15 2022 max relations containing the same ideal: 173 Fri Apr 15 11:57:54 2022 removing 6206291 relations and 4206291 ideals in 2000000 cliques Fri Apr 15 11:58:21 2022 commencing in-memory singleton removal Fri Apr 15 11:59:54 2022 begin with 814019153 relations and 634572640 unique ideals Fri Apr 15 12:08:02 2022 reduce to 813976913 relations and 630323895 ideals in 5 passes Fri Apr 15 12:08:02 2022 max relations containing the same ideal: 173 Fri Apr 15 12:18:16 2022 removing 6186648 relations and 4186648 ideals in 2000000 cliques Fri Apr 15 12:18:47 2022 commencing in-memory singleton removal Fri Apr 15 12:22:17 2022 begin with 807790265 relations and 630323895 unique ideals Fri Apr 15 12:31:11 2022 reduce to 807747578 relations and 626094349 ideals in 5 passes Fri Apr 15 12:31:11 2022 max relations containing the same ideal: 173 Fri Apr 15 12:40:48 2022 removing 6172068 relations and 4172068 ideals in 2000000 cliques Fri Apr 15 12:41:14 2022 commencing in-memory singleton removal Fri Apr 15 12:42:43 2022 begin with 801575510 relations and 626094349 unique ideals Fri Apr 15 12:50:45 2022 reduce to 801532609 relations and 621879177 ideals in 5 passes Fri Apr 15 12:50:45 2022 max relations containing the same ideal: 172 Fri Apr 15 13:04:00 2022 removing 6154004 relations and 4154004 ideals in 2000000 cliques Fri Apr 15 13:04:26 2022 commencing in-memory singleton removal Fri Apr 15 13:05:56 2022 begin with 795378605 relations and 621879177 unique ideals Fri Apr 15 13:13:49 2022 reduce to 795335485 relations and 617681817 ideals in 5 passes Fri Apr 15 13:13:49 2022 max relations containing the same ideal: 170 Fri Apr 15 13:23:16 2022 removing 6138727 relations and 4138727 ideals in 2000000 cliques Fri Apr 15 13:23:41 2022 commencing in-memory singleton removal Fri Apr 15 13:26:59 2022 begin with 789196758 relations and 617681817 unique ideals Fri Apr 15 13:36:45 2022 reduce to 789153571 relations and 613499652 ideals in 5 passes Fri Apr 15 13:36:45 2022 max relations containing the same ideal: 170 Fri Apr 15 13:46:04 2022 removing 6121924 relations and 4121924 ideals in 2000000 cliques Fri Apr 15 13:46:30 2022 commencing in-memory singleton removal Fri Apr 15 13:47:58 2022 begin with 783031647 relations and 613499652 unique ideals Fri Apr 15 13:55:43 2022 reduce to 782988682 relations and 609334520 ideals in 5 passes Fri Apr 15 13:55:43 2022 max relations containing the same ideal: 168 Fri Apr 15 14:08:39 2022 removing 6107558 relations and 4107558 ideals in 2000000 cliques Fri Apr 15 14:09:04 2022 commencing in-memory singleton removal Fri Apr 15 14:10:32 2022 begin with 776881124 relations and 609334520 unique ideals Fri Apr 15 14:18:11 2022 reduce to 776837606 relations and 605183219 ideals in 5 passes Fri Apr 15 14:18:11 2022 max relations containing the same ideal: 167 Fri Apr 15 14:27:19 2022 removing 6097446 relations and 4097446 ideals in 2000000 cliques Fri Apr 15 14:27:44 2022 commencing in-memory singleton removal Fri Apr 15 14:29:11 2022 begin with 770740160 relations and 605183219 unique ideals Fri Apr 15 14:40:28 2022 reduce to 770696727 relations and 601042091 ideals in 5 passes Fri Apr 15 14:40:28 2022 max relations containing the same ideal: 167 Fri Apr 15 14:49:30 2022 removing 6081938 relations and 4081938 ideals in 2000000 cliques Fri Apr 15 14:49:55 2022 commencing in-memory singleton removal Fri Apr 15 14:51:21 2022 begin with 764614789 relations and 601042091 unique ideals Fri Apr 15 14:58:52 2022 reduce to 764571114 relations and 596916225 ideals in 5 passes Fri Apr 15 14:58:52 2022 max relations containing the same ideal: 167 Fri Apr 15 15:09:34 2022 removing 6065777 relations and 4065777 ideals in 2000000 cliques Fri Apr 15 15:10:02 2022 commencing in-memory singleton removal Fri Apr 15 15:12:17 2022 begin with 758505337 relations and 596916225 unique ideals Fri Apr 15 15:23:22 2022 reduce to 758461358 relations and 592806192 ideals in 5 passes Fri Apr 15 15:23:22 2022 max relations containing the same ideal: 167 Fri Apr 15 15:32:13 2022 removing 6056006 relations and 4056006 ideals in 2000000 cliques Fri Apr 15 15:32:37 2022 commencing in-memory singleton removal Fri Apr 15 15:34:01 2022 begin with 752405352 relations and 592806192 unique ideals Fri Apr 15 15:41:25 2022 reduce to 752361582 relations and 588706116 ideals in 5 passes Fri Apr 15 15:41:25 2022 max relations containing the same ideal: 166 Fri Apr 15 15:52:28 2022 removing 6044820 relations and 4044820 ideals in 2000000 cliques Fri Apr 15 15:52:56 2022 commencing in-memory singleton removal Fri Apr 15 15:54:44 2022 begin with 746316762 relations and 588706116 unique ideals Fri Apr 15 16:02:02 2022 reduce to 746271930 relations and 584616162 ideals in 5 passes Fri Apr 15 16:02:02 2022 max relations containing the same ideal: 164 Fri Apr 15 16:10:39 2022 removing 6031010 relations and 4031010 ideals in 2000000 cliques Fri Apr 15 16:11:04 2022 commencing in-memory singleton removal Fri Apr 15 16:12:26 2022 begin with 740240920 relations and 584616162 unique ideals Fri Apr 15 16:21:28 2022 reduce to 740196329 relations and 580540287 ideals in 6 passes Fri Apr 15 16:21:28 2022 max relations containing the same ideal: 163 Fri Apr 15 16:33:16 2022 removing 6016994 relations and 4016994 ideals in 2000000 cliques Fri Apr 15 16:33:40 2022 commencing in-memory singleton removal Fri Apr 15 16:35:02 2022 begin with 734179335 relations and 580540287 unique ideals Fri Apr 15 16:42:11 2022 reduce to 734133760 relations and 576477424 ideals in 5 passes Fri Apr 15 16:42:11 2022 max relations containing the same ideal: 162 Fri Apr 15 16:50:34 2022 removing 6009044 relations and 4009044 ideals in 2000000 cliques Fri Apr 15 16:50:58 2022 commencing in-memory singleton removal Fri Apr 15 16:52:19 2022 begin with 728124716 relations and 576477424 unique ideals Fri Apr 15 17:03:04 2022 reduce to 728080051 relations and 572423408 ideals in 5 passes Fri Apr 15 17:03:04 2022 max relations containing the same ideal: 160 Fri Apr 15 17:11:22 2022 removing 5998336 relations and 3998336 ideals in 2000000 cliques Fri Apr 15 17:11:45 2022 commencing in-memory singleton removal Fri Apr 15 17:13:03 2022 begin with 722081715 relations and 572423408 unique ideals Fri Apr 15 17:20:02 2022 reduce to 722035732 relations and 568378800 ideals in 5 passes Fri Apr 15 17:20:02 2022 max relations containing the same ideal: 159 Fri Apr 15 17:28:35 2022 removing 5988162 relations and 3988162 ideals in 2000000 cliques Fri Apr 15 17:29:02 2022 commencing in-memory singleton removal Fri Apr 15 17:32:04 2022 begin with 716047570 relations and 568378800 unique ideals Fri Apr 15 17:40:19 2022 reduce to 716001730 relations and 564344507 ideals in 5 passes Fri Apr 15 17:40:19 2022 max relations containing the same ideal: 159 Fri Apr 15 17:48:25 2022 removing 5981407 relations and 3981407 ideals in 2000000 cliques Fri Apr 15 17:48:49 2022 commencing in-memory singleton removal Fri Apr 15 17:50:06 2022 begin with 710020323 relations and 564344507 unique ideals Fri Apr 15 17:56:58 2022 reduce to 709973759 relations and 560316208 ideals in 5 passes Fri Apr 15 17:56:58 2022 max relations containing the same ideal: 158 Fri Apr 15 18:07:24 2022 removing 5970049 relations and 3970049 ideals in 2000000 cliques Fri Apr 15 18:07:50 2022 commencing in-memory singleton removal Fri Apr 15 18:09:20 2022 begin with 704003710 relations and 560316208 unique ideals Fri Apr 15 18:16:07 2022 reduce to 703956493 relations and 556298595 ideals in 5 passes Fri Apr 15 18:16:07 2022 max relations containing the same ideal: 158 Fri Apr 15 18:24:02 2022 removing 5963998 relations and 3963998 ideals in 2000000 cliques Fri Apr 15 18:24:24 2022 commencing in-memory singleton removal Fri Apr 15 18:25:38 2022 begin with 697992495 relations and 556298595 unique ideals Fri Apr 15 18:32:21 2022 reduce to 697945482 relations and 552287256 ideals in 5 passes Fri Apr 15 18:32:21 2022 max relations containing the same ideal: 156 Fri Apr 15 18:43:12 2022 removing 5952911 relations and 3952911 ideals in 2000000 cliques Fri Apr 15 18:43:34 2022 commencing in-memory singleton removal Fri Apr 15 18:44:46 2022 begin with 691992571 relations and 552287256 unique ideals Fri Apr 15 18:51:26 2022 reduce to 691945098 relations and 548286526 ideals in 5 passes Fri Apr 15 18:51:26 2022 max relations containing the same ideal: 155 Fri Apr 15 18:59:05 2022 removing 5945864 relations and 3945864 ideals in 2000000 cliques Fri Apr 15 18:59:28 2022 commencing in-memory singleton removal Fri Apr 15 19:00:43 2022 begin with 685999234 relations and 548286526 unique ideals Fri Apr 15 19:07:16 2022 reduce to 685951990 relations and 544293055 ideals in 5 passes Fri Apr 15 19:07:16 2022 max relations containing the same ideal: 154 Fri Apr 15 19:18:19 2022 removing 5937781 relations and 3937781 ideals in 2000000 cliques Fri Apr 15 19:18:41 2022 commencing in-memory singleton removal Fri Apr 15 19:19:56 2022 begin with 680014209 relations and 544293055 unique ideals Fri Apr 15 19:26:25 2022 reduce to 679965350 relations and 540306058 ideals in 5 passes Fri Apr 15 19:26:25 2022 max relations containing the same ideal: 153 Fri Apr 15 19:33:44 2022 removing 5932156 relations and 3932156 ideals in 2000000 cliques Fri Apr 15 19:34:06 2022 commencing in-memory singleton removal Fri Apr 15 19:35:18 2022 begin with 674033194 relations and 540306058 unique ideals Fri Apr 15 19:42:03 2022 reduce to 673984911 relations and 536325259 ideals in 5 passes Fri Apr 15 19:42:03 2022 max relations containing the same ideal: 151 Fri Apr 15 19:52:41 2022 removing 5924474 relations and 3924474 ideals in 2000000 cliques Fri Apr 15 19:53:01 2022 commencing in-memory singleton removal Fri Apr 15 19:54:12 2022 begin with 668060437 relations and 536325259 unique ideals Fri Apr 15 20:00:33 2022 reduce to 668010795 relations and 532350758 ideals in 5 passes Fri Apr 15 20:00:33 2022 max relations containing the same ideal: 151 Fri Apr 15 20:07:42 2022 removing 5919160 relations and 3919160 ideals in 2000000 cliques Fri Apr 15 20:08:04 2022 commencing in-memory singleton removal Fri Apr 15 20:09:16 2022 begin with 662091635 relations and 532350758 unique ideals Fri Apr 15 20:16:34 2022 reduce to 662042294 relations and 528381892 ideals in 5 passes Fri Apr 15 20:16:34 2022 max relations containing the same ideal: 150 Fri Apr 15 20:26:24 2022 removing 5910372 relations and 3910372 ideals in 2000000 cliques Fri Apr 15 20:26:46 2022 commencing in-memory singleton removal Fri Apr 15 20:27:55 2022 begin with 656131922 relations and 528381892 unique ideals Fri Apr 15 20:34:08 2022 reduce to 656082201 relations and 524421430 ideals in 5 passes Fri Apr 15 20:34:08 2022 max relations containing the same ideal: 149 Fri Apr 15 20:41:09 2022 removing 5906114 relations and 3906114 ideals in 2000000 cliques Fri Apr 15 20:41:30 2022 commencing in-memory singleton removal Fri Apr 15 20:42:41 2022 begin with 650176087 relations and 524421430 unique ideals Fri Apr 15 20:49:45 2022 reduce to 650126164 relations and 520464955 ideals in 5 passes Fri Apr 15 20:49:45 2022 max relations containing the same ideal: 149 Fri Apr 15 20:59:30 2022 removing 5898892 relations and 3898892 ideals in 2000000 cliques Fri Apr 15 20:59:51 2022 commencing in-memory singleton removal Fri Apr 15 21:01:00 2022 begin with 644227272 relations and 520464955 unique ideals Fri Apr 15 21:07:05 2022 reduce to 644176626 relations and 516514981 ideals in 5 passes Fri Apr 15 21:07:05 2022 max relations containing the same ideal: 148 Fri Apr 15 21:13:57 2022 removing 5895299 relations and 3895299 ideals in 2000000 cliques Fri Apr 15 21:14:16 2022 commencing in-memory singleton removal Fri Apr 15 21:15:23 2022 begin with 638281327 relations and 516514981 unique ideals Fri Apr 15 21:21:26 2022 reduce to 638230364 relations and 512568277 ideals in 5 passes Fri Apr 15 21:21:26 2022 max relations containing the same ideal: 148 Fri Apr 15 21:32:46 2022 removing 5894497 relations and 3894497 ideals in 2000000 cliques Fri Apr 15 21:33:09 2022 commencing in-memory singleton removal Fri Apr 15 21:35:57 2022 begin with 632335867 relations and 512568277 unique ideals Fri Apr 15 21:42:27 2022 reduce to 632284447 relations and 508621918 ideals in 5 passes Fri Apr 15 21:42:27 2022 max relations containing the same ideal: 146 Fri Apr 15 21:49:15 2022 removing 5887310 relations and 3887310 ideals in 2000000 cliques Fri Apr 15 21:49:35 2022 commencing in-memory singleton removal Fri Apr 15 21:50:38 2022 begin with 626397137 relations and 508621918 unique ideals Fri Apr 15 21:56:31 2022 reduce to 626345287 relations and 504682317 ideals in 5 passes Fri Apr 15 21:56:31 2022 max relations containing the same ideal: 146 Fri Apr 15 22:03:11 2022 removing 5883354 relations and 3883354 ideals in 2000000 cliques Fri Apr 15 22:03:34 2022 commencing in-memory singleton removal Fri Apr 15 22:06:18 2022 begin with 620461933 relations and 504682317 unique ideals Fri Apr 15 22:13:59 2022 reduce to 620409611 relations and 500746177 ideals in 5 passes Fri Apr 15 22:13:59 2022 max relations containing the same ideal: 146 Fri Apr 15 22:20:32 2022 removing 5876563 relations and 3876563 ideals in 2000000 cliques Fri Apr 15 22:20:51 2022 commencing in-memory singleton removal Fri Apr 15 22:21:52 2022 begin with 614533048 relations and 500746177 unique ideals Fri Apr 15 22:27:33 2022 reduce to 614480394 relations and 496816546 ideals in 5 passes Fri Apr 15 22:27:33 2022 max relations containing the same ideal: 143 Fri Apr 15 22:33:59 2022 removing 5877471 relations and 3877471 ideals in 2000000 cliques Fri Apr 15 22:34:17 2022 commencing in-memory singleton removal Fri Apr 15 22:35:18 2022 begin with 608602923 relations and 496816546 unique ideals Fri Apr 15 22:45:39 2022 reduce to 608549466 relations and 492885168 ideals in 6 passes Fri Apr 15 22:45:39 2022 max relations containing the same ideal: 143 Fri Apr 15 22:51:57 2022 removing 5869740 relations and 3869740 ideals in 2000000 cliques Fri Apr 15 22:52:17 2022 commencing in-memory singleton removal Fri Apr 15 22:53:19 2022 begin with 602679726 relations and 492885168 unique ideals Fri Apr 15 22:58:48 2022 reduce to 602625680 relations and 488960944 ideals in 5 passes Fri Apr 15 22:58:48 2022 max relations containing the same ideal: 140 Fri Apr 15 23:05:01 2022 removing 5866715 relations and 3866715 ideals in 2000000 cliques Fri Apr 15 23:05:20 2022 commencing in-memory singleton removal Fri Apr 15 23:06:17 2022 begin with 596758965 relations and 488960944 unique ideals Fri Apr 15 23:14:11 2022 reduce to 596704677 relations and 485039471 ideals in 5 passes Fri Apr 15 23:14:11 2022 max relations containing the same ideal: 140 Fri Apr 15 23:21:34 2022 removing 5867419 relations and 3867419 ideals in 2000000 cliques Fri Apr 15 23:21:54 2022 commencing in-memory singleton removal Fri Apr 15 23:22:50 2022 begin with 590837258 relations and 485039471 unique ideals Fri Apr 15 23:28:11 2022 reduce to 590781772 relations and 481116080 ideals in 5 passes Fri Apr 15 23:28:11 2022 max relations containing the same ideal: 139 Fri Apr 15 23:34:13 2022 removing 5862997 relations and 3862997 ideals in 2000000 cliques Fri Apr 15 23:34:31 2022 commencing in-memory singleton removal Fri Apr 15 23:35:30 2022 begin with 584918775 relations and 481116080 unique ideals Fri Apr 15 23:41:50 2022 reduce to 584862935 relations and 477196740 ideals in 6 passes Fri Apr 15 23:41:50 2022 max relations containing the same ideal: 137 Fri Apr 15 23:51:06 2022 removing 5862047 relations and 3862047 ideals in 2000000 cliques Fri Apr 15 23:51:25 2022 commencing in-memory singleton removal Fri Apr 15 23:52:20 2022 begin with 579000888 relations and 477196740 unique ideals Fri Apr 15 23:57:34 2022 reduce to 578944621 relations and 473277905 ideals in 5 passes Fri Apr 15 23:57:34 2022 max relations containing the same ideal: 137 Sat Apr 16 00:03:29 2022 removing 5863717 relations and 3863717 ideals in 2000000 cliques Sat Apr 16 00:03:47 2022 commencing in-memory singleton removal Sat Apr 16 00:04:43 2022 begin with 573080904 relations and 473277905 unique ideals Sat Apr 16 00:09:52 2022 reduce to 573024659 relations and 469357401 ideals in 5 passes Sat Apr 16 00:09:52 2022 max relations containing the same ideal: 136 Sat Apr 16 00:15:42 2022 removing 5860713 relations and 3860713 ideals in 2000000 cliques Sat Apr 16 00:15:59 2022 commencing in-memory singleton removal Sat Apr 16 00:17:54 2022 begin with 567163946 relations and 469357401 unique ideals Sat Apr 16 00:25:42 2022 reduce to 567107041 relations and 465439257 ideals in 5 passes Sat Apr 16 00:25:42 2022 max relations containing the same ideal: 135 Sat Apr 16 00:31:27 2022 removing 5860226 relations and 3860226 ideals in 2000000 cliques Sat Apr 16 00:31:45 2022 commencing in-memory singleton removal Sat Apr 16 00:32:40 2022 begin with 561246815 relations and 465439257 unique ideals Sat Apr 16 00:37:41 2022 reduce to 561189378 relations and 461521071 ideals in 5 passes Sat Apr 16 00:37:41 2022 max relations containing the same ideal: 134 Sat Apr 16 00:43:23 2022 removing 5864089 relations and 3864089 ideals in 2000000 cliques Sat Apr 16 00:43:39 2022 commencing in-memory singleton removal Sat Apr 16 00:44:35 2022 begin with 555325289 relations and 461521071 unique ideals Sat Apr 16 00:49:33 2022 reduce to 555267265 relations and 457598408 ideals in 5 passes Sat Apr 16 00:49:33 2022 max relations containing the same ideal: 132 Sat Apr 16 00:58:52 2022 removing 5863280 relations and 3863280 ideals in 2000000 cliques Sat Apr 16 00:59:09 2022 commencing in-memory singleton removal Sat Apr 16 01:00:03 2022 begin with 549403985 relations and 457598408 unique ideals Sat Apr 16 01:04:58 2022 reduce to 549344843 relations and 453675405 ideals in 5 passes Sat Apr 16 01:04:58 2022 max relations containing the same ideal: 132 Sat Apr 16 01:10:26 2022 removing 5862589 relations and 3862589 ideals in 2000000 cliques Sat Apr 16 01:10:44 2022 commencing in-memory singleton removal Sat Apr 16 01:11:35 2022 begin with 543482254 relations and 453675405 unique ideals Sat Apr 16 01:16:26 2022 reduce to 543422622 relations and 449752678 ideals in 5 passes Sat Apr 16 01:16:26 2022 max relations containing the same ideal: 132 Sat Apr 16 01:21:51 2022 removing 5867428 relations and 3867428 ideals in 2000000 cliques Sat Apr 16 01:22:10 2022 commencing in-memory singleton removal Sat Apr 16 01:23:20 2022 begin with 537555194 relations and 449752678 unique ideals Sat Apr 16 01:31:27 2022 reduce to 537494601 relations and 445824121 ideals in 5 passes Sat Apr 16 01:31:27 2022 max relations containing the same ideal: 132 Sat Apr 16 01:36:49 2022 removing 5870919 relations and 3870919 ideals in 2000000 cliques Sat Apr 16 01:37:06 2022 commencing in-memory singleton removal Sat Apr 16 01:37:59 2022 begin with 531623682 relations and 445824121 unique ideals Sat Apr 16 01:42:39 2022 reduce to 531562671 relations and 441891602 ideals in 5 passes Sat Apr 16 01:42:39 2022 max relations containing the same ideal: 129 Sat Apr 16 01:47:56 2022 removing 5872106 relations and 3872106 ideals in 2000000 cliques Sat Apr 16 01:48:13 2022 commencing in-memory singleton removal Sat Apr 16 01:49:02 2022 begin with 525690565 relations and 441891602 unique ideals Sat Apr 16 01:53:42 2022 reduce to 525628838 relations and 437957198 ideals in 5 passes Sat Apr 16 01:53:42 2022 max relations containing the same ideal: 129 Sat Apr 16 02:00:51 2022 removing 5875785 relations and 3875785 ideals in 2000000 cliques Sat Apr 16 02:01:10 2022 commencing in-memory singleton removal Sat Apr 16 02:02:57 2022 begin with 519753053 relations and 437957198 unique ideals Sat Apr 16 02:07:33 2022 reduce to 519690207 relations and 434017954 ideals in 5 passes Sat Apr 16 02:07:33 2022 max relations containing the same ideal: 127 Sat Apr 16 02:12:43 2022 removing 5880316 relations and 3880316 ideals in 2000000 cliques Sat Apr 16 02:12:59 2022 commencing in-memory singleton removal Sat Apr 16 02:13:49 2022 begin with 513809891 relations and 434017954 unique ideals Sat Apr 16 02:18:18 2022 reduce to 513746401 relations and 430073584 ideals in 5 passes Sat Apr 16 02:18:18 2022 max relations containing the same ideal: 126 Sat Apr 16 02:23:24 2022 removing 5882939 relations and 3882939 ideals in 2000000 cliques Sat Apr 16 02:23:40 2022 commencing in-memory singleton removal Sat Apr 16 02:24:29 2022 begin with 507863462 relations and 430073584 unique ideals Sat Apr 16 02:28:58 2022 reduce to 507799151 relations and 426125804 ideals in 5 passes Sat Apr 16 02:28:58 2022 max relations containing the same ideal: 126 Sat Apr 16 02:37:30 2022 removing 5889653 relations and 3889653 ideals in 2000000 cliques Sat Apr 16 02:37:45 2022 commencing in-memory singleton removal Sat Apr 16 02:38:35 2022 begin with 501909498 relations and 426125804 unique ideals Sat Apr 16 02:42:59 2022 reduce to 501844282 relations and 422170315 ideals in 5 passes Sat Apr 16 02:42:59 2022 max relations containing the same ideal: 125 Sat Apr 16 02:47:55 2022 removing 5897340 relations and 3897340 ideals in 2000000 cliques Sat Apr 16 02:48:10 2022 commencing in-memory singleton removal Sat Apr 16 02:48:58 2022 begin with 495946942 relations and 422170315 unique ideals Sat Apr 16 02:53:18 2022 reduce to 495881809 relations and 418207192 ideals in 5 passes Sat Apr 16 02:53:18 2022 max relations containing the same ideal: 124 Sat Apr 16 02:58:12 2022 removing 5899670 relations and 3899670 ideals in 2000000 cliques Sat Apr 16 02:58:26 2022 commencing in-memory singleton removal Sat Apr 16 02:59:15 2022 begin with 489982139 relations and 418207192 unique ideals Sat Apr 16 03:04:31 2022 reduce to 489916113 relations and 414240929 ideals in 5 passes Sat Apr 16 03:04:31 2022 max relations containing the same ideal: 123 Sat Apr 16 03:10:36 2022 removing 5909018 relations and 3909018 ideals in 2000000 cliques Sat Apr 16 03:10:51 2022 commencing in-memory singleton removal Sat Apr 16 03:11:38 2022 begin with 484007095 relations and 414240929 unique ideals Sat Apr 16 03:17:07 2022 reduce to 483940212 relations and 410264387 ideals in 6 passes Sat Apr 16 03:17:07 2022 max relations containing the same ideal: 122 Sat Apr 16 03:21:51 2022 removing 5916183 relations and 3916183 ideals in 2000000 cliques Sat Apr 16 03:22:06 2022 commencing in-memory singleton removal Sat Apr 16 03:22:52 2022 begin with 478024029 relations and 410264387 unique ideals Sat Apr 16 03:28:17 2022 reduce to 477956093 relations and 406279638 ideals in 6 passes Sat Apr 16 03:28:17 2022 max relations containing the same ideal: 121 Sat Apr 16 03:32:58 2022 removing 5924918 relations and 3924918 ideals in 2000000 cliques Sat Apr 16 03:33:12 2022 commencing in-memory singleton removal Sat Apr 16 03:33:59 2022 begin with 472031175 relations and 406279638 unique ideals Sat Apr 16 03:38:33 2022 reduce to 471962397 relations and 402285319 ideals in 5 passes Sat Apr 16 03:38:33 2022 max relations containing the same ideal: 120 Sat Apr 16 03:43:10 2022 removing 5931223 relations and 3931223 ideals in 2000000 cliques Sat Apr 16 03:43:25 2022 commencing in-memory singleton removal Sat Apr 16 03:44:09 2022 begin with 466031174 relations and 402285319 unique ideals Sat Apr 16 03:49:25 2022 reduce to 465960677 relations and 398282997 ideals in 6 passes Sat Apr 16 03:49:25 2022 max relations containing the same ideal: 120 Sat Apr 16 03:53:59 2022 removing 5943749 relations and 3943749 ideals in 2000000 cliques Sat Apr 16 03:54:13 2022 commencing in-memory singleton removal Sat Apr 16 03:55:20 2022 begin with 460016928 relations and 398282997 unique ideals Sat Apr 16 03:59:22 2022 reduce to 459945479 relations and 394267106 ideals in 5 passes Sat Apr 16 03:59:22 2022 max relations containing the same ideal: 117 Sat Apr 16 04:03:49 2022 removing 5953251 relations and 3953251 ideals in 2000000 cliques Sat Apr 16 04:04:04 2022 commencing in-memory singleton removal Sat Apr 16 04:05:11 2022 begin with 453992228 relations and 394267106 unique ideals Sat Apr 16 04:09:54 2022 reduce to 453920119 relations and 390241099 ideals in 6 passes Sat Apr 16 04:09:54 2022 max relations containing the same ideal: 116 Sat Apr 16 04:14:26 2022 removing 5964564 relations and 3964564 ideals in 2000000 cliques Sat Apr 16 04:14:42 2022 commencing in-memory singleton removal Sat Apr 16 04:15:34 2022 begin with 447955555 relations and 390241099 unique ideals Sat Apr 16 04:19:25 2022 reduce to 447882668 relations and 386202977 ideals in 5 passes Sat Apr 16 04:19:25 2022 max relations containing the same ideal: 115 Sat Apr 16 04:23:45 2022 removing 5979586 relations and 3979586 ideals in 2000000 cliques Sat Apr 16 04:24:00 2022 commencing in-memory singleton removal Sat Apr 16 04:25:04 2022 begin with 441903082 relations and 386202977 unique ideals Sat Apr 16 04:28:53 2022 reduce to 441828464 relations and 382148097 ideals in 5 passes Sat Apr 16 04:28:53 2022 max relations containing the same ideal: 113 Sat Apr 16 04:33:08 2022 removing 5992924 relations and 3992924 ideals in 2000000 cliques Sat Apr 16 04:33:21 2022 commencing in-memory singleton removal Sat Apr 16 04:34:27 2022 begin with 435835540 relations and 382148097 unique ideals Sat Apr 16 04:38:57 2022 reduce to 435760053 relations and 378079005 ideals in 6 passes Sat Apr 16 04:38:57 2022 max relations containing the same ideal: 113 Sat Apr 16 04:43:09 2022 removing 6006296 relations and 4006296 ideals in 2000000 cliques Sat Apr 16 04:43:23 2022 commencing in-memory singleton removal Sat Apr 16 04:44:28 2022 begin with 429753757 relations and 378079005 unique ideals Sat Apr 16 04:48:10 2022 reduce to 429677632 relations and 373995843 ideals in 5 passes Sat Apr 16 04:48:10 2022 max relations containing the same ideal: 112 Sat Apr 16 04:52:17 2022 removing 6022713 relations and 4022713 ideals in 2000000 cliques Sat Apr 16 04:52:30 2022 commencing in-memory singleton removal Sat Apr 16 04:53:10 2022 begin with 423654919 relations and 373995843 unique ideals Sat Apr 16 04:57:55 2022 reduce to 423576904 relations and 369894434 ideals in 6 passes Sat Apr 16 04:57:55 2022 max relations containing the same ideal: 111 Sat Apr 16 05:01:59 2022 removing 6040863 relations and 4040863 ideals in 2000000 cliques Sat Apr 16 05:02:12 2022 commencing in-memory singleton removal Sat Apr 16 05:02:52 2022 begin with 417536041 relations and 369894434 unique ideals Sat Apr 16 05:06:50 2022 reduce to 417457250 relations and 365774025 ideals in 5 passes Sat Apr 16 05:06:50 2022 max relations containing the same ideal: 110 Sat Apr 16 05:10:49 2022 removing 6055416 relations and 4055416 ideals in 2000000 cliques Sat Apr 16 05:11:01 2022 commencing in-memory singleton removal Sat Apr 16 05:11:39 2022 begin with 411401834 relations and 365774025 unique ideals Sat Apr 16 05:16:15 2022 reduce to 411321363 relations and 361637460 ideals in 6 passes Sat Apr 16 05:16:15 2022 max relations containing the same ideal: 109 Sat Apr 16 05:20:10 2022 removing 6072646 relations and 4072646 ideals in 2000000 cliques Sat Apr 16 05:20:22 2022 commencing in-memory singleton removal Sat Apr 16 05:20:59 2022 begin with 405248717 relations and 361637460 unique ideals Sat Apr 16 05:24:48 2022 reduce to 405166783 relations and 357482095 ideals in 5 passes Sat Apr 16 05:24:48 2022 max relations containing the same ideal: 108 Sat Apr 16 05:28:40 2022 removing 6097933 relations and 4097933 ideals in 2000000 cliques Sat Apr 16 05:28:52 2022 commencing in-memory singleton removal Sat Apr 16 05:29:30 2022 begin with 399068850 relations and 357482095 unique ideals Sat Apr 16 05:33:12 2022 reduce to 398985875 relations and 353300466 ideals in 5 passes Sat Apr 16 05:33:12 2022 max relations containing the same ideal: 107 Sat Apr 16 05:37:02 2022 removing 6117045 relations and 4117045 ideals in 2000000 cliques Sat Apr 16 05:37:15 2022 commencing in-memory singleton removal Sat Apr 16 05:37:51 2022 begin with 392868830 relations and 353300466 unique ideals Sat Apr 16 05:41:09 2022 reduce to 392783767 relations and 349097592 ideals in 5 passes Sat Apr 16 05:41:09 2022 max relations containing the same ideal: 106 Sat Apr 16 05:45:23 2022 removing 6138906 relations and 4138906 ideals in 2000000 cliques Sat Apr 16 05:45:36 2022 commencing in-memory singleton removal Sat Apr 16 05:46:11 2022 begin with 386644861 relations and 349097592 unique ideals Sat Apr 16 05:50:04 2022 reduce to 386557993 relations and 344871055 ideals in 6 passes Sat Apr 16 05:50:04 2022 max relations containing the same ideal: 106 Sat Apr 16 05:54:09 2022 removing 6165853 relations and 4165853 ideals in 2000000 cliques Sat Apr 16 05:54:21 2022 commencing in-memory singleton removal Sat Apr 16 05:54:55 2022 begin with 380392140 relations and 344871055 unique ideals Sat Apr 16 05:58:45 2022 reduce to 380303645 relations and 340615894 ideals in 6 passes Sat Apr 16 05:58:45 2022 max relations containing the same ideal: 104 Sat Apr 16 06:02:42 2022 removing 6190210 relations and 4190210 ideals in 2000000 cliques Sat Apr 16 06:02:55 2022 commencing in-memory singleton removal Sat Apr 16 06:04:12 2022 begin with 374113435 relations and 340615894 unique ideals Sat Apr 16 06:11:57 2022 reduce to 374022775 relations and 336334230 ideals in 6 passes Sat Apr 16 06:11:57 2022 max relations containing the same ideal: 103 Sat Apr 16 06:18:46 2022 removing 6215550 relations and 4215550 ideals in 2000000 cliques Sat Apr 16 06:18:59 2022 commencing in-memory singleton removal Sat Apr 16 06:20:09 2022 begin with 367807225 relations and 336334230 unique ideals Sat Apr 16 06:26:54 2022 reduce to 367714772 relations and 332025458 ideals in 6 passes Sat Apr 16 06:26:54 2022 max relations containing the same ideal: 101 Sat Apr 16 06:30:54 2022 removing 6246019 relations and 4246019 ideals in 2000000 cliques Sat Apr 16 06:31:07 2022 commencing in-memory singleton removal Sat Apr 16 06:31:44 2022 begin with 361468753 relations and 332025458 unique ideals Sat Apr 16 06:35:43 2022 reduce to 361373731 relations and 327683582 ideals in 6 passes Sat Apr 16 06:35:43 2022 max relations containing the same ideal: 101 Sat Apr 16 06:39:39 2022 removing 6279518 relations and 4279518 ideals in 2000000 cliques Sat Apr 16 06:39:51 2022 commencing in-memory singleton removal Sat Apr 16 06:40:29 2022 begin with 355094213 relations and 327683582 unique ideals Sat Apr 16 06:45:42 2022 reduce to 354997059 relations and 323306149 ideals in 8 passes Sat Apr 16 06:45:42 2022 max relations containing the same ideal: 99 Sat Apr 16 06:49:40 2022 removing 6312256 relations and 4312256 ideals in 2000000 cliques Sat Apr 16 06:49:52 2022 commencing in-memory singleton removal Sat Apr 16 06:50:33 2022 begin with 348684803 relations and 323306149 unique ideals Sat Apr 16 06:54:38 2022 reduce to 348585199 relations and 318893474 ideals in 6 passes Sat Apr 16 06:54:38 2022 max relations containing the same ideal: 97 Sat Apr 16 06:58:42 2022 removing 6347435 relations and 4347435 ideals in 2000000 cliques Sat Apr 16 06:58:55 2022 commencing in-memory singleton removal Sat Apr 16 06:59:30 2022 begin with 342237764 relations and 318893474 unique ideals Sat Apr 16 07:03:20 2022 reduce to 342135244 relations and 314442674 ideals in 6 passes Sat Apr 16 07:03:20 2022 max relations containing the same ideal: 97 Sat Apr 16 07:07:10 2022 removing 6385371 relations and 4385371 ideals in 2000000 cliques Sat Apr 16 07:07:22 2022 commencing in-memory singleton removal Sat Apr 16 07:07:56 2022 begin with 335749873 relations and 314442674 unique ideals Sat Apr 16 07:12:05 2022 reduce to 335645505 relations and 309952069 ideals in 6 passes Sat Apr 16 07:12:05 2022 max relations containing the same ideal: 96 Sat Apr 16 07:16:46 2022 removing 6426687 relations and 4426687 ideals in 2000000 cliques Sat Apr 16 07:16:58 2022 commencing in-memory singleton removal Sat Apr 16 07:17:46 2022 begin with 329218818 relations and 309952069 unique ideals Sat Apr 16 07:22:48 2022 reduce to 329111066 relations and 305416789 ideals in 6 passes Sat Apr 16 07:22:48 2022 max relations containing the same ideal: 96 Sat Apr 16 07:28:57 2022 removing 6472349 relations and 4472349 ideals in 2000000 cliques Sat Apr 16 07:29:09 2022 commencing in-memory singleton removal Sat Apr 16 07:29:45 2022 begin with 322638717 relations and 305416789 unique ideals Sat Apr 16 07:32:55 2022 reduce to 322527931 relations and 300832793 ideals in 5 passes Sat Apr 16 07:32:55 2022 max relations containing the same ideal: 95 Sat Apr 16 07:36:51 2022 removing 6519309 relations and 4519309 ideals in 2000000 cliques Sat Apr 16 07:37:02 2022 commencing in-memory singleton removal Sat Apr 16 07:37:36 2022 begin with 316008622 relations and 300832793 unique ideals Sat Apr 16 07:41:21 2022 reduce to 315894000 relations and 296197946 ideals in 6 passes Sat Apr 16 07:41:21 2022 max relations containing the same ideal: 94 Sat Apr 16 07:45:14 2022 removing 6570483 relations and 4570483 ideals in 2000000 cliques Sat Apr 16 07:45:25 2022 commencing in-memory singleton removal Sat Apr 16 07:45:59 2022 begin with 309323517 relations and 296197946 unique ideals Sat Apr 16 07:49:39 2022 reduce to 309204291 relations and 291507315 ideals in 6 passes Sat Apr 16 07:49:39 2022 max relations containing the same ideal: 93 Sat Apr 16 07:53:29 2022 removing 6625702 relations and 4625702 ideals in 2000000 cliques Sat Apr 16 07:53:39 2022 commencing in-memory singleton removal Sat Apr 16 07:54:12 2022 begin with 302578589 relations and 291507315 unique ideals Sat Apr 16 07:57:35 2022 reduce to 302456108 relations and 286758176 ideals in 6 passes Sat Apr 16 07:57:35 2022 max relations containing the same ideal: 91 Sat Apr 16 08:01:41 2022 removing 6684147 relations and 4684147 ideals in 2000000 cliques Sat Apr 16 08:01:52 2022 commencing in-memory singleton removal Sat Apr 16 08:02:26 2022 begin with 295771961 relations and 286758176 unique ideals Sat Apr 16 08:06:16 2022 reduce to 295643999 relations and 281945103 ideals in 6 passes Sat Apr 16 08:06:16 2022 max relations containing the same ideal: 91 Sat Apr 16 08:10:17 2022 removing 6746798 relations and 4746798 ideals in 2000000 cliques Sat Apr 16 08:10:28 2022 commencing in-memory singleton removal Sat Apr 16 08:11:09 2022 begin with 288897201 relations and 281945103 unique ideals Sat Apr 16 08:14:55 2022 reduce to 288764702 relations and 277064792 ideals in 6 passes Sat Apr 16 08:14:55 2022 max relations containing the same ideal: 89 Sat Apr 16 08:18:41 2022 removing 6814657 relations and 4814657 ideals in 2000000 cliques Sat Apr 16 08:18:51 2022 commencing in-memory singleton removal Sat Apr 16 08:19:24 2022 begin with 281950045 relations and 277064792 unique ideals Sat Apr 16 08:23:24 2022 reduce to 281810971 relations and 272110083 ideals in 6 passes Sat Apr 16 08:23:24 2022 max relations containing the same ideal: 87 Sat Apr 16 08:27:00 2022 removing 6308714 relations and 4508515 ideals in 1800199 cliques Sat Apr 16 08:27:10 2022 commencing in-memory singleton removal Sat Apr 16 08:27:42 2022 begin with 275502257 relations and 272110083 unique ideals Sat Apr 16 08:31:15 2022 reduce to 275382118 relations and 267480670 ideals in 6 passes Sat Apr 16 08:31:15 2022 max relations containing the same ideal: 87 Sat Apr 16 08:35:39 2022 relations with 0 large ideals: 240049 Sat Apr 16 08:35:39 2022 relations with 1 large ideals: 291886 Sat Apr 16 08:35:39 2022 relations with 2 large ideals: 2833132 Sat Apr 16 08:35:39 2022 relations with 3 large ideals: 14025227 Sat Apr 16 08:35:39 2022 relations with 4 large ideals: 39733899 Sat Apr 16 08:35:39 2022 relations with 5 large ideals: 68363406 Sat Apr 16 08:35:39 2022 relations with 6 large ideals: 73202211 Sat Apr 16 08:35:39 2022 relations with 7+ large ideals: 76692308 Sat Apr 16 08:35:39 2022 commencing 2-way merge Sat Apr 16 08:41:13 2022 reduce to 191349688 relation sets and 183448240 unique ideals Sat Apr 16 08:41:13 2022 commencing full merge Sat Apr 16 10:02:49 2022 memory use: 20359.3 MB Sat Apr 16 10:03:14 2022 found 83573913 cycles, need 82612440 Sat Apr 16 10:03:55 2022 weight of 82612440 cycles is about 10740206716 (130.01/cycle) Sat Apr 16 10:03:55 2022 distribution of cycle lengths: Sat Apr 16 10:03:55 2022 1 relations: 2542588 Sat Apr 16 10:03:55 2022 2 relations: 4154334 Sat Apr 16 10:03:55 2022 3 relations: 5617852 Sat Apr 16 10:03:55 2022 4 relations: 6272057 Sat Apr 16 10:03:55 2022 5 relations: 6801058 Sat Apr 16 10:03:55 2022 6 relations: 6906251 Sat Apr 16 10:03:55 2022 7 relations: 6876071 Sat Apr 16 10:03:55 2022 8 relations: 6589416 Sat Apr 16 10:03:55 2022 9 relations: 6164492 Sat Apr 16 10:03:55 2022 10+ relations: 30688321 Sat Apr 16 10:03:55 2022 heaviest cycle: 28 relations Sat Apr 16 10:04:32 2022 commencing cycle optimization Sat Apr 16 10:08:28 2022 start with 694643852 relations Sat Apr 16 10:44:19 2022 pruned 31970890 relations Sat Apr 16 10:44:20 2022 memory use: 18609.8 MB Sat Apr 16 10:44:20 2022 distribution of cycle lengths: Sat Apr 16 10:44:20 2022 1 relations: 2542588 Sat Apr 16 10:44:20 2022 2 relations: 4280037 Sat Apr 16 10:44:20 2022 3 relations: 5881600 Sat Apr 16 10:44:20 2022 4 relations: 6574868 Sat Apr 16 10:44:20 2022 5 relations: 7187273 Sat Apr 16 10:44:20 2022 6 relations: 7296144 Sat Apr 16 10:44:20 2022 7 relations: 7286226 Sat Apr 16 10:44:20 2022 8 relations: 6940249 Sat Apr 16 10:44:20 2022 9 relations: 6461720 Sat Apr 16 10:44:20 2022 10+ relations: 28161735 Sat Apr 16 10:44:20 2022 heaviest cycle: 26 relations Sat Apr 16 10:47:49 2022 RelProcTime: 219372 Sat Apr 16 10:47:49 2022 elapsed time 60:56:13 Sat Apr 16 10:59:29 2022 Sat Apr 16 10:59:29 2022 Sat Apr 16 10:59:29 2022 Msieve v. 1.54 (SVN Unversioned directory) Sat Apr 16 10:59:29 2022 random seeds: 356822fa e66997e7 Sat Apr 16 10:59:29 2022 MPI process 0 of 4 Sat Apr 16 10:59:29 2022 factoring 1056451947256486910979047656080778871099133607305218026381676926013258296263666236117636528131018402299873694829461264849653221413719797346360654189071297780240211263216623630905609430166398514228896863880648389230991814006930996022251242719776759218947985196989907530733 (271 digits) Sat Apr 16 10:59:31 2022 no P-1/P+1/ECM available, skipping Sat Apr 16 10:59:31 2022 commencing number field sieve (271-digit input) Sat Apr 16 10:59:31 2022 R0: -1000000000000000000000000000000000000000000000000000000 Sat Apr 16 10:59:31 2022 R1: 1 Sat Apr 16 10:59:31 2022 A0: -10 Sat Apr 16 10:59:31 2022 A1: 0 Sat Apr 16 10:59:31 2022 A2: 0 Sat Apr 16 10:59:31 2022 A3: 0 Sat Apr 16 10:59:31 2022 A4: 0 Sat Apr 16 10:59:31 2022 A5: 0 Sat Apr 16 10:59:31 2022 A6: 1 Sat Apr 16 10:59:31 2022 skew 1.47, size 8.887e-16, alpha 1.180, combined = 4.681e-16 rroots = 2 Sat Apr 16 10:59:31 2022 Sat Apr 16 10:59:31 2022 commencing linear algebra Sat Apr 16 10:59:31 2022 initialized process (0,0) of 2 x 2 grid Sat Apr 16 10:59:42 2022 read 82612440 cycles Sat Apr 16 11:02:53 2022 cycles contain 272292721 unique relations Sat Apr 16 11:32:07 2022 read 272292721 relations Sat Apr 16 11:44:28 2022 using 20 quadratic characters above 4294917295 Sat Apr 16 12:05:31 2022 building initial matrix Sat Apr 16 13:25:27 2022 memory use: 38343.5 MB Sat Apr 16 13:27:11 2022 read 82612440 cycles Sat Apr 16 13:27:29 2022 matrix is 82612261 x 82612440 (41687.8 MB) with weight 11917272119 (144.26/col) Sat Apr 16 13:27:29 2022 sparse part has weight 10019478938 (121.28/col) Sat Apr 16 14:01:51 2022 filtering completed in 2 passes Sat Apr 16 14:02:15 2022 matrix is 82609756 x 82609935 (41687.6 MB) with weight 11917189430 (144.26/col) Sat Apr 16 14:02:15 2022 sparse part has weight 10019449939 (121.29/col) Sat Apr 16 14:09:08 2022 matrix starts at (0, 0) Sat Apr 16 14:09:13 2022 matrix is 41304934 x 41304940 (11552.4 MB) with weight 3522894507 (85.29/col) Sat Apr 16 14:09:13 2022 sparse part has weight 2574032644 (62.32/col) Sat Apr 16 14:09:13 2022 saving the first 112 matrix rows for later Sat Apr 16 14:09:22 2022 matrix includes 128 packed rows Sat Apr 16 14:09:30 2022 matrix is 41304822 x 41304940 (10565.7 MB) with weight 2437002829 (59.00/col) Sat Apr 16 14:09:30 2022 sparse part has weight 2274077055 (55.06/col) Sat Apr 16 14:09:30 2022 using block size 8192 and superblock size 983040 for processor cache size 20480 kB Sat Apr 16 14:10:50 2022 commencing Lanczos iteration (8 threads) Sat Apr 16 14:10:50 2022 memory use: 12310.5 MB Sat Apr 16 14:13:56 2022 linear algebra at 0.0%, ETA 2569h40m Sat Apr 16 14:14:54 2022 checkpointing every 40000 dimensions Sat Apr 16 20:58:10 2022 Sat Apr 16 20:58:10 2022 Sat Apr 16 20:58:10 2022 Msieve v. 1.54 (SVN Unversioned directory) Sat Apr 16 20:58:10 2022 random seeds: 3920dc49 ba471a19 Sat Apr 16 20:58:10 2022 MPI process 0 of 320 Sat Apr 16 20:58:10 2022 factoring 1056451947256486910979047656080778871099133607305218026381676926013258296263666236117636528131018402299873694829461264849653221413719797346360654189071297780240211263216623630905609430166398514228896863880648389230991814006930996022251242719776759218947985196989907530733 (271 digits) Sat Apr 16 20:58:15 2022 no P-1/P+1/ECM available, skipping Sat Apr 16 20:58:15 2022 commencing number field sieve (271-digit input) Sat Apr 16 20:58:15 2022 R0: -1000000000000000000000000000000000000000000000000000000 Sat Apr 16 20:58:15 2022 R1: 1 Sat Apr 16 20:58:15 2022 A0: -10 Sat Apr 16 20:58:15 2022 A1: 0 Sat Apr 16 20:58:15 2022 A2: 0 Sat Apr 16 20:58:15 2022 A3: 0 Sat Apr 16 20:58:15 2022 A4: 0 Sat Apr 16 20:58:16 2022 A5: 0 Sat Apr 16 20:58:16 2022 A6: 1 Sat Apr 16 20:58:16 2022 skew 1.47, size 8.887e-16, alpha 1.180, combined = 4.681e-16 rroots = 2 Sat Apr 16 20:58:16 2022 Sat Apr 16 20:58:16 2022 commencing linear algebra Sat Apr 16 20:58:16 2022 using VBITS=128 Sat Apr 16 20:58:16 2022 skipping matrix build Sat Apr 16 20:58:16 2022 initialized process (0,0) of 16 x 20 grid Sat Apr 16 20:58:24 2022 matrix starts at (0, 0) Sat Apr 16 20:58:24 2022 matrix is 5163226 x 3463332 (320.4 MB) with weight 122947696 (35.50/col) Sat Apr 16 20:58:24 2022 sparse part has weight 45890540 (13.25/col) Sat Apr 16 20:58:24 2022 saving the first 112 matrix rows for later Sat Apr 16 20:58:25 2022 matrix includes 128 packed rows Sat Apr 16 20:58:27 2022 matrix is 5163114 x 3463332 (256.4 MB) with weight 33183818 ( 9.58/col) Sat Apr 16 20:58:27 2022 sparse part has weight 25646584 ( 7.41/col) Sat Apr 16 20:58:27 2022 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Sat Apr 16 20:58:29 2022 commencing Lanczos iteration (12 threads) Sat Apr 16 20:58:29 2022 memory use: 331.2 MB Sat Apr 16 20:58:36 2022 linear algebra at 0.0%, ETA 44h59m Sat Apr 16 20:58:37 2022 checkpointing every 1840000 dimensions Sun Apr 17 04:59:21 2022 Sun Apr 17 04:59:21 2022 Sun Apr 17 04:59:21 2022 Msieve v. 1.54 (SVN Unversioned directory) Sun Apr 17 04:59:21 2022 random seeds: 6b7ae97b c474fa1d Sun Apr 17 04:59:21 2022 MPI process 0 of 320 Sun Apr 17 04:59:21 2022 factoring 1056451947256486910979047656080778871099133607305218026381676926013258296263666236117636528131018402299873694829461264849653221413719797346360654189071297780240211263216623630905609430166398514228896863880648389230991814006930996022251242719776759218947985196989907530733 (271 digits) Sun Apr 17 04:59:26 2022 no P-1/P+1/ECM available, skipping Sun Apr 17 04:59:26 2022 commencing number field sieve (271-digit input) Sun Apr 17 04:59:26 2022 R0: -1000000000000000000000000000000000000000000000000000000 Sun Apr 17 04:59:26 2022 R1: 1 Sun Apr 17 04:59:26 2022 A0: -10 Sun Apr 17 04:59:26 2022 A1: 0 Sun Apr 17 04:59:26 2022 A2: 0 Sun Apr 17 04:59:26 2022 A3: 0 Sun Apr 17 04:59:26 2022 A4: 0 Sun Apr 17 04:59:26 2022 A5: 0 Sun Apr 17 04:59:26 2022 A6: 1 Sun Apr 17 04:59:26 2022 skew 1.47, size 8.887e-16, alpha 1.180, combined = 4.681e-16 rroots = 2 Sun Apr 17 04:59:26 2022 Sun Apr 17 04:59:26 2022 commencing linear algebra Sun Apr 17 04:59:26 2022 using VBITS=128 Sun Apr 17 04:59:27 2022 initialized process (0,0) of 16 x 20 grid Sun Apr 17 04:59:35 2022 matrix starts at (0, 0) Sun Apr 17 04:59:35 2022 matrix is 5163226 x 3463332 (320.4 MB) with weight 122947696 (35.50/col) Sun Apr 17 04:59:35 2022 sparse part has weight 45890540 (13.25/col) Sun Apr 17 04:59:35 2022 saving the first 112 matrix rows for later Sun Apr 17 04:59:36 2022 matrix includes 128 packed rows Sun Apr 17 04:59:38 2022 matrix is 5163114 x 3463332 (256.4 MB) with weight 33183818 ( 9.58/col) Sun Apr 17 04:59:38 2022 sparse part has weight 25646584 ( 7.41/col) Sun Apr 17 04:59:38 2022 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Sun Apr 17 04:59:40 2022 commencing Lanczos iteration (12 threads) Sun Apr 17 04:59:40 2022 memory use: 331.2 MB Sun Apr 17 04:59:47 2022 restarting at iteration 101229 (dim = 12880000) Sun Apr 17 04:59:54 2022 linear algebra at 15.6%, ETA 88h30m Sun Apr 17 04:59:55 2022 checkpointing every 920000 dimensions Sun Apr 17 13:00:36 2022 Sun Apr 17 13:00:36 2022 Sun Apr 17 13:00:36 2022 Msieve v. 1.54 (SVN Unversioned directory) Sun Apr 17 13:00:36 2022 random seeds: 93c1761f c1513fa7 Sun Apr 17 13:00:36 2022 MPI process 0 of 320 Sun Apr 17 13:00:36 2022 factoring 1056451947256486910979047656080778871099133607305218026381676926013258296263666236117636528131018402299873694829461264849653221413719797346360654189071297780240211263216623630905609430166398514228896863880648389230991814006930996022251242719776759218947985196989907530733 (271 digits) Sun Apr 17 13:00:41 2022 no P-1/P+1/ECM available, skipping Sun Apr 17 13:00:41 2022 commencing number field sieve (271-digit input) Sun Apr 17 13:00:41 2022 R0: -1000000000000000000000000000000000000000000000000000000 Sun Apr 17 13:00:41 2022 R1: 1 Sun Apr 17 13:00:41 2022 A0: -10 Sun Apr 17 13:00:41 2022 A1: 0 Sun Apr 17 13:00:41 2022 A2: 0 Sun Apr 17 13:00:41 2022 A3: 0 Sun Apr 17 13:00:41 2022 A4: 0 Sun Apr 17 13:00:41 2022 A5: 0 Sun Apr 17 13:00:41 2022 A6: 1 Sun Apr 17 13:00:41 2022 skew 1.47, size 8.887e-16, alpha 1.180, combined = 4.681e-16 rroots = 2 Sun Apr 17 13:00:41 2022 Sun Apr 17 13:00:41 2022 commencing linear algebra Sun Apr 17 13:00:41 2022 using VBITS=128 Sun Apr 17 13:00:41 2022 initialized process (0,0) of 16 x 20 grid Sun Apr 17 13:00:49 2022 matrix starts at (0, 0) Sun Apr 17 13:00:49 2022 matrix is 5163226 x 3463332 (320.4 MB) with weight 122947696 (35.50/col) Sun Apr 17 13:00:49 2022 sparse part has weight 45890540 (13.25/col) Sun Apr 17 13:00:49 2022 saving the first 112 matrix rows for later Sun Apr 17 13:00:50 2022 matrix includes 128 packed rows Sun Apr 17 13:00:52 2022 matrix is 5163114 x 3463332 (256.4 MB) with weight 33183818 ( 9.58/col) Sun Apr 17 13:00:52 2022 sparse part has weight 25646584 ( 7.41/col) Sun Apr 17 13:00:52 2022 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Sun Apr 17 13:00:54 2022 commencing Lanczos iteration (12 threads) Sun Apr 17 13:00:54 2022 memory use: 331.2 MB Sun Apr 17 13:01:01 2022 restarting at iteration 202459 (dim = 25760114) Sun Apr 17 13:01:08 2022 linear algebra at 31.2%, ETA 72h14m Sun Apr 17 13:01:09 2022 checkpointing every 860000 dimensions Sun Apr 17 21:02:07 2022 Sun Apr 17 21:02:07 2022 Sun Apr 17 21:02:07 2022 Msieve v. 1.54 (SVN Unversioned directory) Sun Apr 17 21:02:07 2022 random seeds: 881fa1ea 59c8e815 Sun Apr 17 21:02:07 2022 MPI process 0 of 320 Sun Apr 17 21:02:07 2022 factoring 1056451947256486910979047656080778871099133607305218026381676926013258296263666236117636528131018402299873694829461264849653221413719797346360654189071297780240211263216623630905609430166398514228896863880648389230991814006930996022251242719776759218947985196989907530733 (271 digits) Sun Apr 17 21:02:12 2022 no P-1/P+1/ECM available, skipping Sun Apr 17 21:02:12 2022 commencing number field sieve (271-digit input) Sun Apr 17 21:02:12 2022 R0: -1000000000000000000000000000000000000000000000000000000 Sun Apr 17 21:02:12 2022 R1: 1 Sun Apr 17 21:02:12 2022 A0: -10 Sun Apr 17 21:02:12 2022 A1: 0 Sun Apr 17 21:02:12 2022 A2: 0 Sun Apr 17 21:02:12 2022 A3: 0 Sun Apr 17 21:02:12 2022 A4: 0 Sun Apr 17 21:02:12 2022 A5: 0 Sun Apr 17 21:02:12 2022 A6: 1 Sun Apr 17 21:02:12 2022 skew 1.47, size 8.887e-16, alpha 1.180, combined = 4.681e-16 rroots = 2 Sun Apr 17 21:02:12 2022 Sun Apr 17 21:02:12 2022 commencing linear algebra Sun Apr 17 21:02:12 2022 using VBITS=128 Sun Apr 17 21:02:12 2022 initialized process (0,0) of 16 x 20 grid Sun Apr 17 21:02:21 2022 matrix starts at (0, 0) Sun Apr 17 21:02:21 2022 matrix is 5163226 x 3463332 (320.4 MB) with weight 122947696 (35.50/col) Sun Apr 17 21:02:21 2022 sparse part has weight 45890540 (13.25/col) Sun Apr 17 21:02:21 2022 saving the first 112 matrix rows for later Sun Apr 17 21:02:22 2022 matrix includes 128 packed rows Sun Apr 17 21:02:26 2022 matrix is 5163114 x 3463332 (256.4 MB) with weight 33183818 ( 9.58/col) Sun Apr 17 21:02:26 2022 sparse part has weight 25646584 ( 7.41/col) Sun Apr 17 21:02:26 2022 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Sun Apr 17 21:02:27 2022 commencing Lanczos iteration (12 threads) Sun Apr 17 21:02:27 2022 memory use: 331.2 MB Sun Apr 17 21:02:35 2022 restarting at iteration 304162 (dim = 38700072) Sun Apr 17 21:02:42 2022 linear algebra at 46.8%, ETA 55h43m Sun Apr 17 21:02:43 2022 checkpointing every 920000 dimensions Mon Apr 18 05:03:36 2022 Mon Apr 18 05:03:36 2022 Mon Apr 18 05:03:36 2022 Msieve v. 1.54 (SVN Unversioned directory) Mon Apr 18 05:03:36 2022 random seeds: f0c60fb6 7660ce6e Mon Apr 18 05:03:36 2022 MPI process 0 of 320 Mon Apr 18 05:03:36 2022 factoring 1056451947256486910979047656080778871099133607305218026381676926013258296263666236117636528131018402299873694829461264849653221413719797346360654189071297780240211263216623630905609430166398514228896863880648389230991814006930996022251242719776759218947985196989907530733 (271 digits) Mon Apr 18 05:03:41 2022 no P-1/P+1/ECM available, skipping Mon Apr 18 05:03:41 2022 commencing number field sieve (271-digit input) Mon Apr 18 05:03:41 2022 R0: -1000000000000000000000000000000000000000000000000000000 Mon Apr 18 05:03:41 2022 R1: 1 Mon Apr 18 05:03:41 2022 A0: -10 Mon Apr 18 05:03:41 2022 A1: 0 Mon Apr 18 05:03:41 2022 A2: 0 Mon Apr 18 05:03:41 2022 A3: 0 Mon Apr 18 05:03:41 2022 A4: 0 Mon Apr 18 05:03:41 2022 A5: 0 Mon Apr 18 05:03:41 2022 A6: 1 Mon Apr 18 05:03:41 2022 skew 1.47, size 8.887e-16, alpha 1.180, combined = 4.681e-16 rroots = 2 Mon Apr 18 05:03:41 2022 Mon Apr 18 05:03:41 2022 commencing linear algebra Mon Apr 18 05:03:41 2022 using VBITS=128 Mon Apr 18 05:03:42 2022 initialized process (0,0) of 16 x 20 grid Mon Apr 18 05:03:50 2022 matrix starts at (0, 0) Mon Apr 18 05:03:50 2022 matrix is 5163226 x 3463332 (320.4 MB) with weight 122947696 (35.50/col) Mon Apr 18 05:03:50 2022 sparse part has weight 45890540 (13.25/col) Mon Apr 18 05:03:50 2022 saving the first 112 matrix rows for later Mon Apr 18 05:03:51 2022 matrix includes 128 packed rows Mon Apr 18 05:03:53 2022 matrix is 5163114 x 3463332 (256.4 MB) with weight 33183818 ( 9.58/col) Mon Apr 18 05:03:53 2022 sparse part has weight 25646584 ( 7.41/col) Mon Apr 18 05:03:53 2022 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Mon Apr 18 05:03:55 2022 commencing Lanczos iteration (12 threads) Mon Apr 18 05:03:55 2022 memory use: 331.2 MB Mon Apr 18 05:04:02 2022 restarting at iteration 412151 (dim = 52440012) Mon Apr 18 05:04:09 2022 linear algebra at 63.5%, ETA 38h21m Mon Apr 18 05:04:10 2022 checkpointing every 920000 dimensions Mon Apr 18 18:01:29 2022 Mon Apr 18 18:01:29 2022 Mon Apr 18 18:01:29 2022 Msieve v. 1.54 (SVN Unversioned directory) Mon Apr 18 18:01:29 2022 random seeds: 854f1091 244d0d64 Mon Apr 18 18:01:29 2022 MPI process 0 of 304 Mon Apr 18 18:01:29 2022 factoring 1056451947256486910979047656080778871099133607305218026381676926013258296263666236117636528131018402299873694829461264849653221413719797346360654189071297780240211263216623630905609430166398514228896863880648389230991814006930996022251242719776759218947985196989907530733 (271 digits) Mon Apr 18 18:01:34 2022 no P-1/P+1/ECM available, skipping Mon Apr 18 18:01:34 2022 commencing number field sieve (271-digit input) Mon Apr 18 18:01:34 2022 R0: -1000000000000000000000000000000000000000000000000000000 Mon Apr 18 18:01:34 2022 R1: 1 Mon Apr 18 18:01:34 2022 A0: -10 Mon Apr 18 18:01:34 2022 A1: 0 Mon Apr 18 18:01:34 2022 A2: 0 Mon Apr 18 18:01:34 2022 A3: 0 Mon Apr 18 18:01:34 2022 A4: 0 Mon Apr 18 18:01:34 2022 A5: 0 Mon Apr 18 18:01:34 2022 A6: 1 Mon Apr 18 18:01:34 2022 skew 1.47, size 8.887e-16, alpha 1.180, combined = 4.681e-16 rroots = 2 Mon Apr 18 18:01:34 2022 Mon Apr 18 18:01:34 2022 commencing linear algebra Mon Apr 18 18:01:34 2022 using VBITS=128 Mon Apr 18 18:01:34 2022 initialized process (0,0) of 16 x 19 grid Mon Apr 18 18:01:43 2022 matrix starts at (0, 0) Mon Apr 18 18:01:43 2022 matrix is 5163226 x 3655736 (337.7 MB) with weight 129583223 (35.45/col) Mon Apr 18 18:01:43 2022 sparse part has weight 48302808 (13.21/col) Mon Apr 18 18:01:43 2022 saving the first 112 matrix rows for later Mon Apr 18 18:01:44 2022 matrix includes 128 packed rows Mon Apr 18 18:01:46 2022 matrix is 5163114 x 3655736 (270.3 MB) with weight 34928535 ( 9.55/col) Mon Apr 18 18:01:46 2022 sparse part has weight 26998736 ( 7.39/col) Mon Apr 18 18:01:46 2022 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Mon Apr 18 18:01:48 2022 commencing Lanczos iteration (12 threads) Mon Apr 18 18:01:48 2022 memory use: 340.6 MB Mon Apr 18 18:01:52 2022 restarting at iteration 484457 (dim = 61640072) Mon Apr 18 18:02:00 2022 linear algebra at 74.6%, ETA 30h30m Mon Apr 18 18:02:01 2022 checkpointing every 820000 dimensions Tue Apr 19 01:29:50 2022 Tue Apr 19 01:29:50 2022 Tue Apr 19 01:29:50 2022 Msieve v. 1.54 (SVN Unversioned directory) Tue Apr 19 01:29:50 2022 random seeds: 35a1da44 d31eb24f Tue Apr 19 01:29:50 2022 MPI process 0 of 320 Tue Apr 19 01:29:50 2022 factoring 1056451947256486910979047656080778871099133607305218026381676926013258296263666236117636528131018402299873694829461264849653221413719797346360654189071297780240211263216623630905609430166398514228896863880648389230991814006930996022251242719776759218947985196989907530733 (271 digits) Tue Apr 19 01:29:56 2022 no P-1/P+1/ECM available, skipping Tue Apr 19 01:29:56 2022 commencing number field sieve (271-digit input) Tue Apr 19 01:29:56 2022 R0: -1000000000000000000000000000000000000000000000000000000 Tue Apr 19 01:29:56 2022 R1: 1 Tue Apr 19 01:29:56 2022 A0: -10 Tue Apr 19 01:29:56 2022 A1: 0 Tue Apr 19 01:29:56 2022 A2: 0 Tue Apr 19 01:29:56 2022 A3: 0 Tue Apr 19 01:29:56 2022 A4: 0 Tue Apr 19 01:29:56 2022 A5: 0 Tue Apr 19 01:29:56 2022 A6: 1 Tue Apr 19 01:29:56 2022 skew 1.47, size 8.887e-16, alpha 1.180, combined = 4.681e-16 rroots = 2 Tue Apr 19 01:29:56 2022 Tue Apr 19 01:29:56 2022 commencing linear algebra Tue Apr 19 01:29:56 2022 using VBITS=128 Tue Apr 19 01:29:56 2022 initialized process (0,0) of 16 x 20 grid Tue Apr 19 01:30:04 2022 matrix starts at (0, 0) Tue Apr 19 01:30:04 2022 matrix is 5163226 x 3463332 (320.4 MB) with weight 122947696 (35.50/col) Tue Apr 19 01:30:04 2022 sparse part has weight 45890540 (13.25/col) Tue Apr 19 01:30:04 2022 saving the first 112 matrix rows for later Tue Apr 19 01:30:05 2022 matrix includes 128 packed rows Tue Apr 19 01:30:07 2022 matrix is 5163114 x 3463332 (256.4 MB) with weight 33183818 ( 9.58/col) Tue Apr 19 01:30:07 2022 sparse part has weight 25646584 ( 7.41/col) Tue Apr 19 01:30:07 2022 using block size 8192 and superblock size 393216 for processor cache size 8192 kB Tue Apr 19 01:30:09 2022 commencing Lanczos iteration (12 threads) Tue Apr 19 01:30:09 2022 memory use: 331.2 MB Tue Apr 19 01:30:15 2022 restarting at iteration 580028 (dim = 73800063) Tue Apr 19 01:30:23 2022 linear algebra at 89.3%, ETA 12h48m Tue Apr 19 01:30:24 2022 checkpointing every 820000 dimensions Tue Apr 19 06:40:34 2022 lanczos halted after 649268 iterations (dim = 82609640) Tue Apr 19 07:10:54 2022 recovered 34 nontrivial dependencies Tue Apr 19 07:10:55 2022 BLanczosTime: 20459 Tue Apr 19 07:10:55 2022 elapsed time 05:41:05 Tue Apr 19 06:49:52 2022 Tue Apr 19 06:49:52 2022 Tue Apr 19 06:49:52 2022 Msieve v. 1.54 (SVN Unversioned directory) Tue Apr 19 06:49:52 2022 random seeds: 0b1e1871 a1e082b4 Tue Apr 19 06:49:52 2022 MPI process 0 of 1 Tue Apr 19 06:49:52 2022 factoring 1056451947256486910979047656080778871099133607305218026381676926013258296263666236117636528131018402299873694829461264849653221413719797346360654189071297780240211263216623630905609430166398514228896863880648389230991814006930996022251242719776759218947985196989907530733 (271 digits) Tue Apr 19 06:49:54 2022 no P-1/P+1/ECM available, skipping Tue Apr 19 06:49:54 2022 commencing number field sieve (271-digit input) Tue Apr 19 06:49:54 2022 R0: -1000000000000000000000000000000000000000000000000000000 Tue Apr 19 06:49:54 2022 R1: 1 Tue Apr 19 06:49:54 2022 A0: -10 Tue Apr 19 06:49:54 2022 A1: 0 Tue Apr 19 06:49:54 2022 A2: 0 Tue Apr 19 06:49:54 2022 A3: 0 Tue Apr 19 06:49:54 2022 A4: 0 Tue Apr 19 06:49:54 2022 A5: 0 Tue Apr 19 06:49:54 2022 A6: 1 Tue Apr 19 06:49:54 2022 skew 1.47, size 8.887e-16, alpha 1.180, combined = 4.681e-16 rroots = 2 Tue Apr 19 06:49:54 2022 Tue Apr 19 06:49:54 2022 commencing square root phase Tue Apr 19 06:49:54 2022 reading relations for dependency 1 Tue Apr 19 06:50:05 2022 read 41310584 cycles Tue Apr 19 06:51:20 2022 cycles contain 136146210 unique relations Tue Apr 19 07:06:26 2022 read 136146210 relations Tue Apr 19 07:18:36 2022 multiplying 136146210 relations Tue Apr 19 09:28:25 2022 multiply complete, coefficients have about 3975.19 million bits Tue Apr 19 09:28:41 2022 initial square root is modulo 823707259 Tue Apr 19 11:37:53 2022 GCD is N, no factor found Tue Apr 19 11:37:53 2022 reading relations for dependency 2 Tue Apr 19 11:38:03 2022 read 41308213 cycles Tue Apr 19 11:39:19 2022 cycles contain 136161988 unique relations Tue Apr 19 11:54:25 2022 read 136161988 relations Tue Apr 19 12:07:01 2022 multiplying 136161988 relations Tue Apr 19 14:23:36 2022 multiply complete, coefficients have about 3975.62 million bits Tue Apr 19 14:23:52 2022 initial square root is modulo 825547273 Tue Apr 19 16:34:25 2022 found factor: 1000889286725563474405662045911093540900908710082344227506919162972107 Tue Apr 19 16:34:25 2022 reading relations for dependency 3 Tue Apr 19 16:34:35 2022 read 41301889 cycles Tue Apr 19 16:35:50 2022 cycles contain 136133822 unique relations Tue Apr 19 16:50:55 2022 read 136133822 relations Tue Apr 19 17:03:07 2022 multiplying 136133822 relations Tue Apr 19 19:13:21 2022 multiply complete, coefficients have about 3974.81 million bits Tue Apr 19 19:13:36 2022 initial square root is modulo 822073327 Tue Apr 19 21:22:54 2022 sqrtTime: 52380 Tue Apr 19 21:22:54 2022 p70 factor: 1000889286725563474405662045911093540900908710082344227506919162972107 Tue Apr 19 21:22:54 2022 p70 factor: 2024740873938190513425266673474911634048354422503451267887726938473483 Tue Apr 19 21:22:54 2022 p132 factor: 521307840861183044621465828930833475823959827582928597186555092762451665440276179272690132481999612478878577364291352712899662081493 Tue Apr 19 21:22:54 2022 elapsed time 14:33:02

# https://pastebin.com/k9ahZHbp

n=112913: c112899(2329738581......) = 651336694612007893 * c112881(3576857562......)

n=112919: c112897(2038506016......) = 10013202845099079641 * c112878(2035818156......)

n=113039: c113028(3193868347......) = 800729930567911831 * c113010(3988696095......)

n=113363: c113345(9831091014......) = 611462127682645093 * c113328(1607800478......)

n=113453: c113447(4896768769......) = 1666342390868100431 * c113429(2938633018......)

# gr-mfaktc

# via Kurt Beschorner

n=45691: c45691(1111111111......) = 116408718433083077382079 * c45667(9544913182......)

# ECM B1=5e4, sigma=1929643248636331

n=63097: c63097(1111111111......) = 1182703041481644252705761 * c63072(9394675350......)

# ECM B1=5e4, sigma=8537965496336827

n=80761: c80761(1111111111......) = 10954906902597028057655279 * c80736(1014258834......)

# ECM B1=5e4, sigma=3090792250112772

# 206939 of 300000 Φ_{n}(10) factorizations were cracked. 300000 個中 206939 個の Φ_{n}(10) の素因数が見つかりました。

# 19953 of 25997 R_{prime} factorizations were cracked. 25997 個中 19953 個の R_{prime} の素因数が見つかりました。

n=111949: c111934(3758464326......) = 2904985885984274921 * c111916(1293797792......)

n=112061: c112034(5018730155......) = 94854068032024601 * c112017(5291001492......)

n=112139: c112122(6069089799......) = 15710755567820525071 * c112103(3863015864......)

n=112213: c112195(1663622072......) = 165002069869703387 * c112178(1008243153......)

n=112237: c112229(6345952507......) = 8861377526042820587 * c112210(7161361186......)

n=112583: c112566(5847758060......) = 952635577911225563 * c112548(6138504792......)

# gr-mfaktc

n=852: c257(6756202820......) = 791145568078856137872408096636314622331869565265096415358925771275309 * c188(8539772063......)

n=852: c188(8539772063......) = 843407644889588409015473024758866665298118138956929263554289382634028509255935457469 * p105(1012531972......)

# SNFS

# 1198 of 300000 Φ_{n}(10) factorizations were finished. 300000 個中 1198 個の Φ_{n}(10) の素因数分解が終わりました。

n=1293: c842(2013387097......) = 81462499223765124189973519762431164923148551627 * c795(2471550856......)

# ECM B1=43e6, sigma=0:5078991612991630

n=6435: c2863(5290346690......) = 804151036122815034947264401 * c2836(6578797330......)

# ECM B1=3e6, sigma=2862599954684006

n=50045: c39990(7753283832......) = 77188137237745562881 * c39971(1004465726......)

# ECM B1=25e4, sigma=3490032384743785

n=110569: c110558(3341611980......) = 790019899718817049 * c110540(4229782037......)

n=111337: c111329(4663416274......) = 13491324392167301893 * c111310(3456603769......)

# gr-mfaktc

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STUDIO KAMADA

Copyright © 1999-2024 Makoto Kamada

Copyright © 1999-2024 Makoto Kamada