Changes of Phin10.txt <January 2021>

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January 30, 2021 2021 年 1 月 30 日 (Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche and Kurt Beschorner)

n=337: c202(2076486865......) = 10040499610458011332733838420983746051698922310460547466000255532841658478393221611341226016666610043 * p102(2068111096......)

# gnfs

   Jan 30, 2021   n=   337: 10040499610458011332733838420983746051698922310460547466000255532841658478393221611341226016666610043 * 2068111096......P102; GNFS  
                  the R337-polynom was created by Gimarel and Maksym Voznyy - thanks!
Fri Dec 11 13:26:41 2020  Msieve v. 1.53 (SVN unknown)
Fri Dec 11 13:26:41 2020  random seeds: e896c2b0 7e95bc67
Fri Dec 11 13:26:41 2020  factoring 2076486865904164187880498803002833020624706055858258295123907760787910463183237701437319913688727165276132151609318284002818920807675158414601157967453931895433506042829474274993772412901816590191592923 (202 digits)
Fri Dec 11 13:26:42 2020  searching for 15-digit factors
Fri Dec 11 13:26:42 2020  commencing number field sieve (202-digit input)
Fri Dec 11 13:26:42 2020  R0: -569723684380800940438196359245718396921
Fri Dec 11 13:26:42 2020  R1: 70657199511226729851381
Fri Dec 11 13:26:42 2020  A0: 103394935622210316241163667133894195533223700664
Fri Dec 11 13:26:42 2020  A1: 2005134862565171054958260583228432033199
Fri Dec 11 13:26:42 2020  A2: -258722981282823408955980872471445
Fri Dec 11 13:26:42 2020  A3: -6736467009189155856979666
Fri Dec 11 13:26:42 2020  A4: 144172045327866816
Fri Dec 11 13:26:42 2020  A5: 1245404160
Fri Dec 11 13:26:42 2020  skew 50335474.00, size 8.799e-020, alpha -8.773, combined = 3.886e-015 rroots = 3
Fri Dec 11 13:26:42 2020  
Fri Dec 11 13:26:42 2020  commencing relation filtering
Fri Dec 11 13:26:42 2020  setting target matrix density to 128.0
Fri Dec 11 13:26:42 2020  estimated available RAM is 130983.0 MB
Fri Dec 11 13:26:42 2020  commencing duplicate removal, pass 1
Fri Dec 11 13:27:21 2020  error -6 reading relation 3774114
...
Fri Dec 11 15:26:25 2020  found 99036873 hash collisions in 725476492 relations
Fri Dec 11 15:26:58 2020  added 1537 free relations
Fri Dec 11 15:26:58 2020  commencing duplicate removal, pass 2
Fri Dec 11 15:36:20 2020  found 46 duplicates and 725477983 unique relations
Fri Dec 11 15:36:20 2020  memory use: 4262.0 MB
Fri Dec 11 15:36:20 2020  reading ideals above 447938560
Fri Dec 11 15:36:20 2020  commencing singleton removal, initial pass
Fri Dec 11 17:25:08 2020  memory use: 11024.0 MB
Fri Dec 11 17:25:09 2020  reading all ideals from disk
Fri Dec 11 17:25:18 2020  memory use: 13804.5 MB
Fri Dec 11 17:26:21 2020  commencing in-memory singleton removal
Fri Dec 11 17:27:24 2020  begin with 725477983 relations and 620191752 unique ideals
Fri Dec 11 17:46:00 2020  reduce to 486855824 relations and 358905200 ideals in 16 passes
Fri Dec 11 17:46:00 2020  max relations containing the same ideal: 65
Fri Dec 11 17:47:00 2020  reading ideals above 720000
...
Sat Dec 12 05:32:11 2020  begin with 150702399 relations and 148372552 unique ideals
Sat Dec 12 05:34:58 2020  reduce to 150700111 relations and 147770909 ideals in 5 passes
Sat Dec 12 05:34:58 2020  max relations containing the same ideal: 99
Sat Dec 12 05:35:43 2020  relations with 0 large ideals: 8884
Sat Dec 12 05:35:43 2020  relations with 1 large ideals: 28327
Sat Dec 12 05:35:43 2020  relations with 2 large ideals: 433414
Sat Dec 12 05:35:43 2020  relations with 3 large ideals: 3019658
Sat Dec 12 05:35:43 2020  relations with 4 large ideals: 11532541
Sat Dec 12 05:35:43 2020  relations with 5 large ideals: 26697890
Sat Dec 12 05:35:43 2020  relations with 6 large ideals: 39207043
Sat Dec 12 05:35:43 2020  relations with 7+ large ideals: 69772354
Sat Dec 12 05:35:43 2020  commencing 2-way merge
Sat Dec 12 05:39:45 2020  reduce to 96081764 relation sets and 93152562 unique ideals
Sat Dec 12 05:39:45 2020  commencing full merge
Sat Dec 12 06:50:44 2020  memory use: 11345.4 MB
Sat Dec 12 06:51:26 2020  found 42677430 cycles, need 42442762
Sat Dec 12 06:51:29 2020  weight of 42442762 cycles is about 5432848814 (128.00/cycle)
Sat Dec 12 06:51:29 2020  distribution of cycle lengths:
Sat Dec 12 06:51:29 2020  1 relations: 3015888
Sat Dec 12 06:51:29 2020  2 relations: 2956746
Sat Dec 12 06:51:29 2020  3 relations: 3090156
Sat Dec 12 06:51:29 2020  4 relations: 3065324
Sat Dec 12 06:51:29 2020  5 relations: 3095706
Sat Dec 12 06:51:29 2020  6 relations: 3029111
Sat Dec 12 06:51:29 2020  7 relations: 2935338
Sat Dec 12 06:51:29 2020  8 relations: 2817380
Sat Dec 12 06:51:29 2020  9 relations: 2652394
Sat Dec 12 06:51:29 2020  10+ relations: 15784719
Sat Dec 12 06:51:29 2020  heaviest cycle: 28 relations
Sat Dec 12 06:57:30 2020  commencing cycle optimization
Sat Dec 12 07:00:18 2020  start with 354106957 relations
Sat Dec 12 07:32:09 2020  pruned 15064668 relations
Sat Dec 12 07:32:10 2020  memory use: 9816.3 MB
Sat Dec 12 07:32:10 2020  distribution of cycle lengths:
Sat Dec 12 07:32:10 2020  1 relations: 3015888
Sat Dec 12 07:32:10 2020  2 relations: 3038755
Sat Dec 12 07:32:10 2020  3 relations: 3223126
Sat Dec 12 07:32:10 2020  4 relations: 3189941
Sat Dec 12 07:32:10 2020  5 relations: 3239551
Sat Dec 12 07:32:10 2020  6 relations: 3159524
Sat Dec 12 07:32:10 2020  7 relations: 3074374
Sat Dec 12 07:32:10 2020  8 relations: 2935585
Sat Dec 12 07:32:10 2020  9 relations: 2756288
Sat Dec 12 07:32:10 2020  10+ relations: 14809730
Sat Dec 12 07:32:10 2020  heaviest cycle: 28 relations
Sat Dec 12 07:40:18 2020  RelProcTime: 65616
Sat Dec 12 07:40:18 2020  elapsed time 18:13:37
Sat Dec 12 08:16:33 2020  
Sat Dec 12 08:16:33 2020  Msieve v. 1.53 (SVN unknown)
Sat Dec 12 08:16:33 2020  random seeds: b71355cc f0cca437
Sat Dec 12 08:16:33 2020  factoring 2076486865904164187880498803002833020624706055858258295123907760787910463183237701437319913688727165276132151609318284002818920807675158414601157967453931895433506042829474274993772412901816590191592923 (202 digits)
Sat Dec 12 08:16:34 2020  searching for 15-digit factors
Sat Dec 12 08:16:34 2020  commencing number field sieve (202-digit input)
Sat Dec 12 08:16:34 2020  R0: -569723684380800940438196359245718396921
Sat Dec 12 08:16:34 2020  R1: 70657199511226729851381
Sat Dec 12 08:16:34 2020  A0: 103394935622210316241163667133894195533223700664
Sat Dec 12 08:16:35 2020  A1: 2005134862565171054958260583228432033199
Sat Dec 12 08:16:35 2020  A2: -258722981282823408955980872471445
Sat Dec 12 08:16:35 2020  A3: -6736467009189155856979666
Sat Dec 12 08:16:35 2020  A4: 144172045327866816
Sat Dec 12 08:16:35 2020  A5: 1245404160
Sat Dec 12 08:16:35 2020  skew 50335474.00, size 8.799e-020, alpha -8.773, combined = 3.886e-015 rroots = 3
Sat Dec 12 08:16:35 2020  
Sat Dec 12 08:16:35 2020  commencing linear algebra
Sat Dec 12 08:16:43 2020  read 42442762 cycles
Sat Dec 12 08:19:11 2020  cycles contain 149148515 unique relations
Sat Dec 12 08:37:39 2020  read 149148515 relations
Sat Dec 12 08:48:37 2020  using 20 quadratic characters above 4294917295
Sat Dec 12 08:57:28 2020  building initial matrix
Sat Dec 12 10:04:57 2020  memory use: 21895.4 MB
Sat Dec 12 10:06:08 2020  read 42442762 cycles
Sat Dec 12 10:06:29 2020  matrix is 42442585 x 42442762 (21260.1 MB) with weight 6437941974 (151.69/col)
Sat Dec 12 10:06:29 2020  sparse part has weight 5063888199 (119.31/col)
Sat Dec 12 10:22:43 2020  filtering completed in 2 passes
Sat Dec 12 10:23:05 2020  matrix is 42440826 x 42441003 (21259.9 MB) with weight 6437861134 (151.69/col)
Sat Dec 12 10:23:05 2020  sparse part has weight 5063866511 (119.32/col)
Sat Dec 12 10:30:14 2020  matrix starts at (0, 0)
Sat Dec 12 10:30:35 2020  matrix is 42440826 x 42441003 (21259.9 MB) with weight 6437861134 (151.69/col)
Sat Dec 12 10:30:35 2020  sparse part has weight 5063866511 (119.32/col)
Sat Dec 12 10:30:35 2020  saving the first 48 matrix rows for later
Sat Dec 12 10:30:57 2020  matrix includes 64 packed rows
Sat Dec 12 10:31:10 2020  matrix is 42440778 x 42441003 (20709.3 MB) with weight 5540968685 (130.56/col)
Sat Dec 12 10:31:10 2020  sparse part has weight 5004419177 (117.91/col)
Sat Dec 12 10:31:10 2020  using block size 8192 and superblock size 6291456 for processor cache size 65536 kB
Sat Dec 12 10:40:03 2020  commencing Lanczos iteration (24 threads)
Sat Dec 12 10:40:03 2020  memory use: 17940.5 MB
Sat Dec 12 10:46:37 2020  linear algebra at 0.0%, ETA 2906h16m
Sat Dec 12 10:47:33 2020  checkpointing every 20000 dimensions
...
Sat Jan 30 05:15:45 2021  lanczos halted after 671165 iterations (dim = 42440777)
Sat Jan 30 05:16:31 2021  recovered 30 nontrivial dependencies
Sat Jan 30 05:17:41 2021  BLanczosTime: 1430963
Sat Jan 30 05:17:41 2021  elapsed time 397:29:24
Sat Jan 30 05:29:02 2021  
Sat Jan 30 05:29:02 2021  
Sat Jan 30 05:29:02 2021  Msieve v. 1.53 (SVN unknown)
Sat Jan 30 05:29:02 2021  random seeds: a8d838ec 22df3765
Sat Jan 30 05:29:02 2021  factoring 2076486865904164187880498803002833020624706055858258295123907760787910463183237701437319913688727165276132151609318284002818920807675158414601157967453931895433506042829474274993772412901816590191592923 (202 digits)
Sat Jan 30 05:29:03 2021  searching for 15-digit factors
Sat Jan 30 05:29:03 2021  commencing number field sieve (202-digit input)
Sat Jan 30 05:29:03 2021  R0: -569723684380800940438196359245718396921
Sat Jan 30 05:29:03 2021  R1: 70657199511226729851381
Sat Jan 30 05:29:03 2021  A0: 103394935622210316241163667133894195533223700664
Sat Jan 30 05:29:03 2021  A1: 2005134862565171054958260583228432033199
Sat Jan 30 05:29:03 2021  A2: -258722981282823408955980872471445
Sat Jan 30 05:29:03 2021  A3: -6736467009189155856979666
Sat Jan 30 05:29:03 2021  A4: 144172045327866816
Sat Jan 30 05:29:03 2021  A5: 1245404160
Sat Jan 30 05:29:03 2021  skew 50335474.00, size 8.799e-020, alpha -8.773, combined = 3.886e-015 rroots = 3
Sat Jan 30 05:29:03 2021  
Sat Jan 30 05:29:03 2021  commencing square root phase
Sat Jan 30 05:29:03 2021  handling dependencies 1 to 64
Sat Jan 30 05:29:03 2021  reading relations for dependency 1
Sat Jan 30 05:29:08 2021  read 21217401 cycles
Sat Jan 30 05:29:46 2021  cycles contain 74558334 unique relations
Sat Jan 30 05:35:43 2021  read 74558334 relations
Sat Jan 30 05:41:04 2021  multiplying 74558334 relations
Sat Jan 30 07:50:21 2021  multiply complete, coefficients have about 5317.37 million bits
Sat Jan 30 07:51:02 2021  initial square root is modulo 918433
Sat Jan 30 10:14:57 2021  GCD is N, no factor found
Sat Jan 30 10:14:57 2021  reading relations for dependency 2
Sat Jan 30 10:15:05 2021  read 21215460 cycles
Sat Jan 30 10:16:26 2021  cycles contain 74562526 unique relations
Sat Jan 30 10:27:23 2021  read 74562526 relations
Sat Jan 30 10:39:44 2021  multiplying 74562526 relations
Sat Jan 30 12:50:16 2021  multiply complete, coefficients have about 5317.67 million bits
Sat Jan 30 12:50:57 2021  initial square root is modulo 919153
Sat Jan 30 15:14:23 2021  sqrtTime: 35120
Sat Jan 30 15:14:23 2021  p101 factor: 10040499610458011332733838420983746051698922310460547466000255532841658478393221611341226016666610043
Sat Jan 30 15:14:23 2021  p102 factor: 206811109652484947999953179293051913495058417807929099923220893228189351588693144846296035840822032161
Sat Jan 30 15:14:23 2021  elapsed time 09:45:21

# 1187 of 300000 Φ_n(10) factorizations were finished. 300000 個中 1187 個の Φ_n(10) の素因数分解が終わりました。

# 123 of 25997 R_prime factorizations were finished. 25997 個中 123 個の R_prime の素因数分解が終わりました。

January 30, 2021 2021 年 1 月 30 日 (Kurt Beschorner)

n=14287: c11194(7015391835......) = 470880522969941164000649 * c11171(1489845405......)

# ECM B1=5e4, sigma=0:5190893335070041

January 27, 2021 2021 年 1 月 27 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=57977: c57977(1111111111......) = 136706260257531467568281 * c57953(8127726623......)

n=94291: c94291(1111111111......) = 3110641719058304721731039 * c94266(3571967495......)

# 201948 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 201948 個の Φ_n(10) の素因数が見つかりました。

# 19619 of 25997 R_prime factorizations were cracked. 25997 個中 19619 個の R_prime の素因数が見つかりました。

January 27, 2021 2021 年 1 月 27 日 (Kurt Beschorner)

n=14287: c11219(7420741401......) = 10577800322757900954578039 * c11194(7015391835......)

# ECM B1=5e4, sigma=0:590946536009718

n=100009: c78618(2499774645......) = 20634960379307 * x78605(1211426917......)

# Prime95

n=100009: x78605(1211426917......) = 323337807782099839 * c78587(3746629341......)

# Prime95

n=205043: c205027(1053386280......) = 3175049812855785373 * c205008(3317700013......)

# gr-mfaktc

n=205063: c205063(1111111111......) = 231040781001988831 * c205045(4809155796......)

# gr-mfaktc

n=205103: c205095(8737632089......) = 3307884981352375759 * c205077(2641455836......)

# gr-mfaktc

n=205171: c205162(5157654119......) = 164985237671568689 * c205145(3126130672......)

# gr-mfaktc

# 201946 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 201946 個の Φ_n(10) の素因数が見つかりました。

# 19617 of 25997 R_prime factorizations were cracked. 25997 個中 19617 個の R_prime の素因数が見つかりました。

January 26, 2021 2021 年 1 月 26 日 (Patrick Schmeer)

# via yoyo@home

n=519: c297(2165148263......) = 25175590297709339047755994593944705119042514299940364907 * p241(8600188665......)

# ECM B1=850000000, sigma=0:15265866885997281733

# 1186 of 300000 Φ_n(10) factorizations were finished. 300000 個中 1186 個の Φ_n(10) の素因数分解が終わりました。

January 25, 2021 2021 年 1 月 25 日 (Kurt Beschorner)

n=9201: c6101(1295747188......) = 12709664685205696122625527283 * c6073(1019497540......)

# ECM B1=1e6, sigma=0:1735000536225406

n=20001: c12969(1344102413......) = 30095813389833721 * c12952(4466077708......)

# Prime95

January 21, 2021 2021 年 1 月 21 日 (Kurt Beschorner)

n=205357: c205345(9198970011......) = 312192707609223907 * c205328(2946567868......)

# gr-mfaktc

n=205433: c205421(1438622328......) = 1377768001452011959 * c205403(1044168776......)

# gr-mfaktc

n=205937: c205915(1015111649......) = 1591322610721439053 * c205896(6379043714......)

# gr-mfaktc

January 19, 2021 2021 年 1 月 19 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=38543: c38543(1111111111......) = 9504220232671058895124963 * c38518(1169071300......)

# ECM B1=5e4, sigma=6124289643683899

n=94207: c94207(1111111111......) = 86797080183778288461827 * c94184(1280124986......)

# ECM B1=5e4, sigma=0:6719918816758285

# 201945 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 201945 個の Φ_n(10) の素因数が見つかりました。

# 19616 of 25997 R_prime factorizations were cracked. 25997 個中 19616 個の R_prime の素因数が見つかりました。

January 12, 2021 2021 年 1 月 12 日 (eratte)

# via yoyo@home

n=469: c342(1293289835......) = 316237267349250204445544982727458065652184756181185770847813 * c282(4089618679......)

# ECM B1=260000000, sigma=0:16910116206833045390

January 4, 2021 2021 年 1 月 4 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=93701: c93701(1111111111......) = 1526582156275453470741631 * c93676(7278423283......)

# ECM B1=5e4, sigma=6283823372959198

# 201943 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 201943 個の Φ_n(10) の素因数が見つかりました。

# 19614 of 25997 R_prime factorizations were cracked. 25997 個中 19614 個の R_prime の素因数が見つかりました。

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