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May 27, 2017 2017 年 5 月 27 日 (F!refly)

# via yoyo@home

n=1231: c1226(5014265585......) = 1520806406498630620751479153475405302799387 * c1184(3297109720......)

# ECM B1=11000000, sigma=0:6903520683874638056

May 25, 2017 2017 年 5 月 25 日 (NeuralMiner)

# via yoyo@home

n=1174: c511(4841463709......) = 552767636859084183383203313197359593414627006389177727 * c457(8758587490......)

# ECM B1=110000000, sigma=1:2037690254

May 20, 2017 2017 年 5 月 20 日 (Serge Batalov)

n=1664: c716(1132985997......) = 33705988330014732169259712855760222337 * c678(3361378951......)

n=1800: c443(1741687714......) = 1216057084775405433757097429262954022602494154001 * c395(1432241739......)

# ECM B1=13544018, sigma=1:453572236

May 19, 2017 2017 年 5 月 19 日 (Serge Batalov)

n=15448: c7709(2804517540......) = 4262322102024846179694485897 * c7681(6579787903......)

May 19, 2017 2017 年 5 月 19 日 (Maksym Voznyy)

n=40819: c40786(1651899677......) = 448973523620265809776001 * c40762(3679280828......)

# ECM B1=250000, sigma=310167333208359

May 16, 2017 2017 年 5 月 16 日 (Maksym Voznyy)

n=43889: c43864(6557319316......) = 9123765410607557197 * c43845(7187075753......)

# ECM B1=250000, sigma=4893343444321190

n=40763: c40757(2271481571......) = 44133896574498827 * x40740(5146795882......)

# ECM B1=250000, sigma=8731583616656796

n=40763: x40740(5146795882......) = 1139663535579623017172569 * c40716(4516066120......)

# ECM B1=250000, sigma=5916093965743765

May 15, 2017 2017 年 5 月 15 日 (Maksym Voznyy)

n=43721: c43700(6124126050......) = 305859810836654141681 * c43680(2002265689......)

# ECM B1=250000, sigma=1811407545027960

n=40591: c40566(1550442281......) = 2350552841922337423399187 * c40541(6596074989......)

# ECM B1=250000, sigma=2870915869486291

n=43759: c43739(1098950901......) = 368713861124064649 * c43721(2980497935......)

# ECM B1=250000, sigma=1247548717611270

n=40639: c40633(6835209256......) = 11984329088886743617117 * c40611(5703455909......)

# ECM B1=250000, sigma=2091492028195092

May 14, 2017 2017 年 5 月 14 日 (Pulsar2017)

# via yoyo@home

n=1460L: c249(3412563678......) = 430290068517717503314541569581514324311872414409341453561896330801 * p183(7930844628......)

# ECM B1=850000000, sigma=1:3948033333

# 1132 of 200000 Φn(10) factorization were finished. 200000 個中 1132 個の Φn(10) の素因数分解が終わりました。

# 119 of 17984 Rprime factorization were finished. 17984 個中 119 個の Rprime の素因数分解が終わりました。

May 14, 2017 2017 年 5 月 14 日 (Maksym Voznyy)

n=47111: c47084(4401420306......) = 137784570976997003 * c47067(3194421752......)

# ECM B1=250000, sigma=4593081881603415

n=47129: c47114(1413195446......) = 193905301101395374759 * c47093(7288070198......)

# ECM B1=250000, sigma=2650152126979339

May 13, 2017 2017 年 5 月 13 日 (Maksym Voznyy)

n=43481: c43456(5051589129......) = 4028209016598047791 * c43438(1254053379......)

# ECM B1=250000, sigma=880271732695655

n=46867: c46867(1111111111......) = 7123263412021107470279 * c46845(1559834372......)

# ECM B1=250000, sigma=2850808335278921

n=46901: c46868(3119427367......) = 51569216528621642533 * c46848(6049010586......)

# ECM B1=250000, sigma=3101696224608198

# 139270 of 200000 Φn(10) factorization were cracked. 200000 個中 139270 個の Φn(10) の素因数が見つかりました。

# 13817 of 17984 Rprime factorization were cracked. 17984 個中 13817 個の Rprime の素因数が見つかりました。

May 12, 2017 2017 年 5 月 12 日 (Maksym Voznyy)

n=46819: c46799(2973686282......) = 8320689926097123621539357 * c46774(3573845809......)

# ECM B1=250000, sigma=2887122731140378

May 11, 2017 2017 年 5 月 11 日 (Maksym Voznyy)

n=43291: c43270(3665482052......) = 6516085577273524036271 * c43248(5625282248......)

# ECM B1=250000, sigma=1427987853483561

n=43319: c43285(3584419018......) = 32076962016326261161 * c43266(1117443421......)

# ECM B1=250000, sigma=3138843631218771

n=46769: c46747(1036881255......) = 1881394934892119 * c46731(5511236564......)

# ECM B1=250000, sigma=5134966433863113

May 10, 2017 2017 年 5 月 10 日 (Maksym Voznyy)

n=9901: c9884(1803965569......) = 267769000737328369377044347 * c9857(6737021701......)

# ECM B1=250000, sigma=8516264195145008

May 9, 2017 2017 年 5 月 9 日 (Maksym Voznyy)

n=8537: c8509(8586231431......) = 661975068980586310077400009 * c8483(1297062658......)

# ECM B1=250000, sigma=2366332809178546

May 8, 2017 2017 年 5 月 8 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=64763: c64763(1111111111......) = 48024420498631151 * c64746(2313637727......)

# ECM B1=11e3

n=64871: c64871(1111111111......) = 43551535586015803 * c64854(2551255876......)

# ECM B1=11e3

n=64877: c64877(1111111111......) = 143398381697712722991799 * c64853(7748421550......)

# ECM B1=11e3, sigma=7252748956661455251

# 139269 of 200000 Φn(10) factorization were cracked. 200000 個中 139269 個の Φn(10) の素因数が見つかりました。

# 13816 of 17984 Rprime factorization were cracked. 17984 個中 13816 個の Rprime の素因数が見つかりました。

May 8, 2017 2017 年 5 月 8 日 (Maksym Voznyy)

n=5791: c5718(3964406629......) = 99995089425654267749831 * c5695(3964601314......)

# ECM B1=250000, sigma=82917410873262

May 7, 2017 2017 年 5 月 7 日 (Bo Chen, Maksym Voznyy, Wenjie Fang, Alfred Eichhorn and Kurt Beschorner)

n=2700M: c197(2128044863......) = 71618803865606542412383896587352242997259054038820075447553395780556284501401142201 * p114(2971349350......)

# gnfs

Sun Mar 19 21:31:50 2017  Msieve v. 1.53 (SVN unknown)
Sun Mar 19 21:31:50 2017  random seeds: d5fd81e8 845709ec
Sun Mar 19 21:31:50 2017  factoring 21280448635641401486510328517762590351439943598811358399598640553251953298510470654192816204660487515323060809477098730957626872339454764912971353172625018532645381873729423451499961548344338111901 (197 digits)
Sun Mar 19 21:31:54 2017  searching for 15-digit factors
Sun Mar 19 21:32:02 2017  commencing number field sieve (197-digit input)
Sun Mar 19 21:32:02 2017  R0: -141926621190523315691802832773008516012
Sun Mar 19 21:32:02 2017  R1: 439743569127268499611
Sun Mar 19 21:32:02 2017  A0: -10032328728724823749690366080982188506588101242
Sun Mar 19 21:32:02 2017  A1: -66162403300993622159317666900858130373
Sun Mar 19 21:32:02 2017  A2: 22530084996917784842410009033582
Sun Mar 19 21:32:02 2017  A3: 57740789299954457602329
Sun Mar 19 21:32:02 2017  A4: -3448665872840304
Sun Mar 19 21:32:02 2017  A5: -739080
Sun Mar 19 21:32:02 2017  skew 90613729.88, size 1.998e-019, alpha -5.962, combined = 6.292e-015 rroots = 5
Sun Mar 19 21:32:02 2017  
Sun Mar 19 21:32:02 2017  commencing relation filtering
Sun Mar 19 21:32:02 2017  setting target matrix density to 130.0
Sun Mar 19 21:32:02 2017  estimated available RAM is 49069.6 MB
...
Mon Mar 20 01:50:55 2017  found 6586207 duplicates and 735806931 unique relations
...
Mon Mar 20 05:29:44 2017  begin with 735806931 relations and 623478442 unique ideals
...
Mon Mar 20 22:06:39 2017  reduce to 133939759 relations and 130875065 ideals in 8 passes
Mon Mar 20 22:06:39 2017  max relations containing the same ideal: 92
Mon Mar 20 22:09:16 2017  relations with 0 large ideals: 9210
Mon Mar 20 22:09:16 2017  relations with 1 large ideals: 38247
Mon Mar 20 22:09:16 2017  relations with 2 large ideals: 560540
Mon Mar 20 22:09:16 2017  relations with 3 large ideals: 3645305
Mon Mar 20 22:09:16 2017  relations with 4 large ideals: 12832919
Mon Mar 20 22:09:16 2017  relations with 5 large ideals: 27126649
Mon Mar 20 22:09:16 2017  relations with 6 large ideals: 36104520
Mon Mar 20 22:09:16 2017  relations with 7+ large ideals: 53622369
Mon Mar 20 22:09:16 2017  commencing 2-way merge
Mon Mar 20 22:12:27 2017  reduce to 84701604 relation sets and 81636910 unique ideals
Mon Mar 20 22:12:27 2017  commencing full merge
Mon Mar 20 23:08:57 2017  memory use: 9708.4 MB
Mon Mar 20 23:09:28 2017  found 36965722 cycles, need 36741110
Mon Mar 20 23:09:32 2017  weight of 36741110 cycles is about 4776633381 (130.01/cycle)
Mon Mar 20 23:09:32 2017  distribution of cycle lengths:
Mon Mar 20 23:09:32 2017  1 relations: 2506464
Mon Mar 20 23:09:32 2017  2 relations: 2337599
Mon Mar 20 23:09:32 2017  3 relations: 2486291
Mon Mar 20 23:09:32 2017  4 relations: 2515204
Mon Mar 20 23:09:32 2017  5 relations: 2615323
Mon Mar 20 23:09:32 2017  6 relations: 2583004
Mon Mar 20 23:09:32 2017  7 relations: 2563677
Mon Mar 20 23:09:32 2017  8 relations: 2461209
Mon Mar 20 23:09:32 2017  9 relations: 2346859
Mon Mar 20 23:09:32 2017  10+ relations: 14325480
Mon Mar 20 23:09:32 2017  heaviest cycle: 28 relations
Mon Mar 20 23:13:13 2017  commencing cycle optimization
Mon Mar 20 23:16:06 2017  start with 315653596 relations
Mon Mar 20 23:42:50 2017  pruned 13760271 relations
Mon Mar 20 23:42:51 2017  memory use: 8706.9 MB
Mon Mar 20 23:42:51 2017  distribution of cycle lengths:
Mon Mar 20 23:42:51 2017  1 relations: 2506464
Mon Mar 20 23:42:51 2017  2 relations: 2402992
Mon Mar 20 23:42:51 2017  3 relations: 2590910
Mon Mar 20 23:42:51 2017  4 relations: 2619939
Mon Mar 20 23:42:51 2017  5 relations: 2739807
Mon Mar 20 23:42:51 2017  6 relations: 2704154
Mon Mar 20 23:42:51 2017  7 relations: 2691211
Mon Mar 20 23:42:51 2017  8 relations: 2576306
Mon Mar 20 23:42:51 2017  9 relations: 2451235
Mon Mar 20 23:42:51 2017  10+ relations: 13458092
Mon Mar 20 23:42:51 2017  heaviest cycle: 28 relations
Mon Mar 20 23:48:14 2017  RelProcTime: 94572

Fri Mar 24 18:12:03 2017  Msieve v. 1.53 (SVN unknown)
Fri Mar 24 18:12:03 2017  random seeds: cfed8480 a3aae439
Fri Mar 24 18:12:03 2017  factoring 21280448635641401486510328517762590351439943598811358399598640553251953298510470654192816204660487515323060809477098730957626872339454764912971353172625018532645381873729423451499961548344338111901 (197 digits)
Fri Mar 24 18:12:05 2017  searching for 15-digit factors
Fri Mar 24 18:12:05 2017  commencing number field sieve (197-digit input)
Fri Mar 24 18:12:05 2017  R0: -141926621190523315691802832773008516012
Fri Mar 24 18:12:05 2017  R1: 439743569127268499611
Fri Mar 24 18:12:05 2017  A0: -10032328728724823749690366080982188506588101242
Fri Mar 24 18:12:05 2017  A1: -66162403300993622159317666900858130373
Fri Mar 24 18:12:05 2017  A2: 22530084996917784842410009033582
Fri Mar 24 18:12:05 2017  A3: 57740789299954457602329
Fri Mar 24 18:12:05 2017  A4: -3448665872840304
Fri Mar 24 18:12:05 2017  A5: -739080
Fri Mar 24 18:12:05 2017  skew 90613729.88, size 1.998e-019, alpha -5.962, combined = 6.292e-015 rroots = 5
Fri Mar 24 18:12:05 2017  
Fri Mar 24 18:12:05 2017  commencing linear algebra
Fri Mar 24 18:15:06 2017  matrix starts at (0, 0)
Fri Mar 24 18:15:19 2017  matrix is 36739362 x 36739539 (18483.9 MB) with weight 5552479490 (151.13/col)
Fri Mar 24 18:15:19 2017  sparse part has weight 4441312238 (120.89/col)
Fri Mar 24 18:15:19 2017  saving the first 48 matrix rows for later
Fri Mar 24 18:15:31 2017  matrix includes 64 packed rows
Fri Mar 24 18:15:38 2017  matrix is 36739314 x 36739539 (18051.8 MB) with weight 4801336528 (130.69/col)
Fri Mar 24 18:15:38 2017  sparse part has weight 4364771360 (118.80/col)
Fri Mar 24 18:15:38 2017  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Fri Mar 24 18:21:06 2017  commencing Lanczos iteration (12 threads)
Fri Mar 24 18:21:06 2017  memory use: 15680.2 MB
Fri Mar 24 18:21:07 2017  restarting at iteration 39855 (dim = 2520017)
Fri Mar 24 18:23:50 2017  linear algebra at 6.9%, ETA 1023h19m
Fri Mar 24 18:24:43 2017  checkpointing every 40000 dimensions
Fri May 05 22:58:12 2017  lanczos halted after 581001 iterations (dim = 36739312)
Fri May 05 22:58:55 2017  recovered 30 nontrivial dependencies
Fri May 05 23:00:01 2017  BLanczosTime: 23714
Fri May 05 23:00:01 2017  elapsed time 06:35:16
  
Fri May 05 23:08:54 2017  Msieve v. 1.53 (SVN unknown)
Fri May 05 23:08:54 2017  random seeds: cfb65608 2fed8e0b
Fri May 05 23:08:54 2017  factoring 21280448635641401486510328517762590351439943598811358399598640553251953298510470654192816204660487515323060809477098730957626872339454764912971353172625018532645381873729423451499961548344338111901 (197 digits)
Fri May 05 23:08:55 2017  searching for 15-digit factors
Fri May 05 23:08:56 2017  commencing number field sieve (197-digit input)
Fri May 05 23:08:56 2017  R0: 141926621190523315691802832773008516012
Fri May 05 23:08:56 2017  R1: -439743569127268499611
Fri May 05 23:08:56 2017  A0: 10032328728724823749690366080982188506588101242
Fri May 05 23:08:56 2017  A1: 66162403300993622159317666900858130373
Fri May 05 23:08:56 2017  A2: -22530084996917784842410009033582
Fri May 05 23:08:56 2017  A3: -57740789299954457602329
Fri May 05 23:08:56 2017  A4: 3448665872840304
Fri May 05 23:08:56 2017  A5: 739080
Fri May 05 23:08:56 2017  skew 90613729.88, size 1.998e-019, alpha -5.962, combined = 6.292e-015 rroots = 5
Fri May 05 23:08:56 2017  
Fri May 05 23:08:56 2017  commencing square root phase
Fri May 05 23:08:56 2017  handling dependencies 1 to 64
Fri May 05 23:08:56 2017  reading relations for dependency 1
Fri May 05 23:09:05 2017  read 18366805 cycles
Fri May 05 23:09:51 2017  cycles contain 66081656 unique relations
Fri May 05 23:28:37 2017  read 66081656 relations
Fri May 05 23:40:29 2017  multiplying 66081656 relations
Sat May 06 03:07:49 2017  multiply complete, coefficients have about 4277.35 million bits
Sat May 06 03:08:48 2017  initial square root is modulo 62653
Sat May 06 06:59:22 2017  GCD is N, no factor found
Sat May 06 06:59:22 2017  reading relations for dependency 2
Sat May 06 06:59:47 2017  read 18368168 cycles
Sat May 06 07:01:06 2017  cycles contain 66086452 unique relations
Sat May 06 07:20:25 2017  read 66086452 relations
Sat May 06 07:31:43 2017  multiplying 66086452 relations
Sat May 06 10:17:35 2017  multiply complete, coefficients have about 4277.68 million bits
Sat May 06 10:18:33 2017  initial square root is modulo 62701
Sat May 06 14:10:14 2017  GCD is N, no factor found
Sat May 06 14:10:14 2017  reading relations for dependency 3
Sat May 06 14:10:38 2017  read 18369826 cycles
Sat May 06 14:11:55 2017  cycles contain 66084600 unique relations
Sat May 06 14:30:54 2017  read 66084600 relations
Sat May 06 14:42:53 2017  multiplying 66084600 relations
Sat May 06 18:10:55 2017  multiply complete, coefficients have about 4277.55 million bits
Sat May 06 18:11:59 2017  initial square root is modulo 62701
Sat May 06 22:02:49 2017  GCD is 1, no factor found
Sat May 06 22:02:49 2017  reading relations for dependency 4
Sat May 06 22:03:14 2017  read 18370163 cycles
Sat May 06 22:04:30 2017  cycles contain 66089724 unique relations
Sat May 06 22:23:25 2017  read 66089724 relations
Sat May 06 22:35:14 2017  multiplying 66089724 relations
Sun May 07 02:03:17 2017  multiply complete, coefficients have about 4277.89 million bits
Sun May 07 02:04:16 2017  initial square root is modulo 62761
Sun May 07 05:54:36 2017  sqrtTime: 110740
Sun May 07 05:54:36 2017  p83 factor: 71618803865606542412383896587352242997259054038820075447553395780556284501401142201
Sun May 07 05:54:36 2017  p114 factor: 297134935059434848691686488189687003283048362636793125222145082651787396540653146423539079787300761023519093629701
Sun May 07 05:54:36 2017  elapsed time 30:45:42

# 1131 of 200000 Φn(10) factorization were finished. 200000 個中 1131 個の Φn(10) の素因数分解が終わりました。

Largest known factors that appear after the previous one
  1  n=604: 188981422179250214477885038956646476812007525220846625175628245017547495717341304519447280552146559165713534073382085460954497219653965265520569 (NFS@Home / Mar 16, 2017)
  2  n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009)
  3  n=1540M: 647799461893729229242068652342456021003805852058736425973158141325454469108253161834095467738437014341 (NFS@Home / Sep 18, 2013)
  4  n=2340L: 54416219768345058780693800256182138078138198676424989328564702046179663087831396313663972761 (Bo Chen, Wenjie Fang, Maksym Voznyy and Kurt Beschorner / Feb 15, 2016)
  5  n=2700M: 71618803865606542412383896587352242997259054038820075447553395780556284501401142201 (Bo Chen, Maksym Voznyy, Wenjie Fang, Alfred Eichhorn and Kurt Beschorner / May 7, 2017)
  6  n=2820M: 832530561417330269513686172453574642103980456844602894975421 (Eric_ch / Aug 23, 2016)
  7  n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010)
  8  n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011)
  9  n=82700L: 7732652742988151960568776872507813340801 (Alfred Reich / Dec 12, 2010)
  10  n=120833: 79670409416595961896605938971188364397 (Maksym Voznyy / Nov 27, 2015)
  11  n=199700M: 16745944922383579468094190800250901 (Serge Batalov / Jul 6, 2015)
  12  n=199900L: 612937240365283738637341628923301 (Serge Batalov / Jul 6, 2015)
  13  n=199940L: 37392384580207183395063521 (Serge Batalov / Jul 6, 2015)
  14  n=199996: 599236237566764612695261 (Serge Batalov / Jul 7, 2015)
  15  n=199999: 35434773177895836763 (Serge Batalov / Jul 6, 2015)
  16  n=200000: 572400001 (Makoto Kamada / Apr 1, 2015)

May 7, 2017 2017 年 5 月 7 日 (Maksym Voznyy)

n=7057: c7043(4627797204......) = 260233763784616576397917 * c7020(1778323126......)

# ECM B1=250000, sigma=8816571980844868

n=7213: c7193(9328050850......) = 213427244417412864753373 * c7170(4370599862......)

# ECM B1=250000, sigma=2021635174584492

n=40031: c40031(1111111111......) = 21583737878191785248893 * c40008(5147908658......)

# ECM B1=250000, sigma=2081005794979525

# 139266 of 200000 Φn(10) factorization were cracked. 200000 個中 139266 個の Φn(10) の素因数が見つかりました。

# 13813 of 17984 Rprime factorization were cracked. 17984 個中 13813 個の Rprime の素因数が見つかりました。

May 6, 2017 2017 年 5 月 6 日 (Maksym Voznyy)

n=40009: c40001(2492955885......) = 217870102361434589119 * c39981(1144239552......)

# ECM B1=250000, sigma=6589006993874817

plain text versionプレーンテキスト版
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