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February 26, 2016 2016 年 2 月 26 日 (NFS@Home)

# via Sam Wagstaff

n=596: c267(1108706798......) = 12463671098882718881327685400890631793963396331809714158641277443477408779299864788341586092901595083520271865575162918829366361 * p139(8895507508......)

# snfs

# 1122 of 200000 Phi_n(10) factorizations were finished.

Largest known factors that appear after the previous one
  1  n=596: 12463671098882718881327685400890631793963396331809714158641277443477408779299864788341586092901595083520271865575162918829366361 (NFS@Home / Feb 26, 2016)
  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: 156769564119516597956194927133905066434402684839835301 (Mr. Hankey / Aug 18, 2013)
  6  n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010)
  7  n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011)
  8  n=82700L: 7732652742988151960568776872507813340801 (Alfred Reich / Dec 12, 2010)
  9  n=120833: 79670409416595961896605938971188364397 (Maksym Voznyy / Nov 27, 2015)
  10  n=199700M: 16745944922383579468094190800250901 (Serge Batalov / Jul 6, 2015)
  11  n=199900L: 612937240365283738637341628923301 (Serge Batalov / Jul 6, 2015)
  12  n=199940L: 37392384580207183395063521 (Serge Batalov / Jul 6, 2015)
  13  n=199996: 599236237566764612695261 (Serge Batalov / Jul 7, 2015)
  14  n=199999: 35434773177895836763 (Serge Batalov / Jul 6, 2015)
  15  n=200000: 572400001 (Makoto Kamada / Apr 1, 2015)

February 26, 2016 2016 年 2 月 26 日 (Cristian)

# via yoyo@home

n=1230: c204(2318355902......) = 1843455308146833369419577117401177102515401880306453871619994561 * p141(1257614379......)

# ECM B1=850000000, sigma=3023659865

# 1121 of 200000 Phi_n(10) factorizations were finished.

February 23, 2016 2016 年 2 月 23 日 (Makoto Kamada)

n=162020M: c32392(6530656940......) = 40667576500253260764901 * c32370(1605863319......)

n=162340M: c32429(9008835460......) = 254501479395154001 * c32412(3539796893......)

n=163340M: c32659(8644705384......) = 19907682987825001 * c32643(4342396545......)

n=163820M: c32754(1091566630......) = 40021296690787301 * c32737(2727464427......)

n=164620L: c32916(1715492555......) = 931918201040949481 * c32898(1840818811......)

n=164860L: c32908(4087181313......) = 27158741465461 * c32895(1504922942......)

# P-1 B1=1e6

# 138498 of 200000 Phi_n(10) factorizations were cracked.

February 22, 2016 2016 年 2 月 22 日 (Ray Chandler)

n=12413: p12382(1389253690......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_12413_10

# See also http://stdkmd.com/nrr/repunit/prpfactors.htm

February 22, 2016 2016 年 2 月 22 日 (Makoto Kamada)

n=121950: c32400(9999999999......) = 19060624092379751683651 * c32378(5246417930......)

n=122280: c32565(7344146718......) = 4313667320112681121 * c32547(1702529697......)

n=122304: c32256(9999999999......) = 48211008219873409 * c32240(2074215074......)

n=122490: c32608(1317568028......) = 63593855011081 * c32594(2071848023......)

n=122970: c32771(3062536694......) = 415631035845749761 * c32753(7368402333......)

n=123330: c32854(3831258205......) = 104444785548331 * c32840(3668213961......)

n=123390: c32832(9999999990......) = 28590364455628771 * c32816(3497681887......)

n=123396: c32249(5846444035......) = 82627804807389661 * c32232(7075637613......)

n=123600: c32635(4045291078......) = 13756094833640918401 * 317175511917507984001 * c32595(9271605962......)

n=125670: c32481(1098890109......) = 1072760816677651 * c32466(1024357054......)

n=126588: c32619(3316695752......) = 18608518478128475821 * c32600(1782353472......)

n=128250: c32400(9999999999......) = 300357196479551251 * c32383(3329369203......)

n=128760: c32238(2557722387......) = 5362655784740473201 * c32219(4769506919......)

n=130560: c32768(9999999999......) = 7602766163527681 * c32753(1315310741......)

n=132240: c32250(1400371756......) = 5224128176080177921 * c32231(2680584605......)

n=133110: c32241(6478076106......) = 11272131756415830691 * c32222(5746984019......)

n=140790: c32833(1000000000......) = 8956932696870988051 * c32814(1116453627......)

n=144270: c32800(1311055220......) = 452303011832530201561 * c32779(2898621468......)

n=144480: c32249(8239729321......) = 1893534160413893761 * c32231(4351508144......)

n=153510: c32246(3695123325......) = 3565988682282446497719812934961 * c32216(1036212858......)

n=160220L: c32040(3576409999......) = 12764787530726221 * c32024(2801777930......)

n=160220M: c32030(1016982961......) = 329320080224461 * c32015(3088129218......)

n=160900M: c32148(2074126642......) = 179300531456266901 * c32131(1156787782......)

n=161180M: c32227(1030656251......) = 196560648555881 * c32212(5243451623......)

n=161300L: c32231(1009549958......) = 3192842213878001 * c32215(3161916220......)

n=161300M: c32219(2383056801......) = 52080364919901001 * c32202(4575729845......)

n=161380L: c32262(9012737501......) = 5948892681335861 * c32247(1515027751......)

n=161620M: c32320(3576409999......) = 46699228776116133162721 * c32297(7658391997......)

n=161780M: c32352(3576409999......) = 1206126555601746797433478613628941 * c32319(2965202932......)

# P-1 B1=1e6

# 138498 of 200000 Phi_n(10) factorizations were cracked.

February 18, 2016 2016 年 2 月 18 日 (Ray Chandler)

n=93420L: p12372(1989086709......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_93420L_10

# See also http://stdkmd.com/nrr/repunit/prpfactors.htm

February 16, 2016 2016 年 2 月 16 日 (Makoto Kamada)

n=112854: c32232(9100000909......) = 12762080370397 * c32219(7130499609......)

n=113106: c32296(1671629125......) = 172897232670011136127 * c32275(9668339393......)

n=114408: c32538(1560829668......) = 94713839045694793 * c32521(1647942564......)

n=114744: c32720(7482333995......) = 215207832688990849 * 674975410928362538676833728081 * c32673(5150994243......)

n=114828: c32784(9901000000......) = 39246086906579869 * c32768(2522799285......)

n=115836: c32923(1079110683......) = 6027568663932972108709 * c32901(1790291813......)

n=116466: c32017(1098900989......) = 37931591434517047 * c32000(2897060069......)

n=118146: c32245(8064014702......) = 284657192126893088422081 * c32222(2832886336......)

n=121080: c32231(6638287573......) = 6791032094151601 * c32215(9775079076......)

n=121320: c32243(3406850215......) = 2137964085879121 * c32228(1593502078......)

# P-1 B1=1e6

# 138490 of 200000 Phi_n(10) factorizations were cracked.

February 15, 2016 2016 年 2 月 15 日 (Bo Chen, Wenjie Fang, Maksym Voznyy and Kurt Beschorner)

n=2340L: c189(9522921974......) = 54416219768345058780693800256182138078138198676424989328564702046179663087831396313663972761 * p98(1750015347......)

# gnfs

Mon Dec 21 19:57:40 2015  Msieve v. 1.53 (SVN unknown)
Mon Dec 21 19:57:40 2015  random seeds: 2336b6cc fb2d0d2f
Mon Dec 21 19:57:40 2015  factoring 952292197412453381717073518174919932906570614453890307718545364847038044348090273591549618739487450764456259682247432651918464778452105306957838135819115896078660572289957993060613591472021 (189 digits)
Mon Dec 21 19:57:41 2015  no P-1/P+1/ECM available, skipping
Mon Dec 21 19:57:41 2015  commencing number field sieve (189-digit input)
Mon Dec 21 19:57:41 2015  R0: -3570923609932057924385087593377792638
Mon Dec 21 19:57:41 2015  R1: 205226838884523100253827
Mon Dec 21 19:57:41 2015  A0: -197006411290915294206892058826736550862182325
Mon Dec 21 19:57:41 2015  A1: -96891972101929844956190270575674132078
Mon Dec 21 19:57:41 2015  A2: 1564572888018669862818629860418
Mon Dec 21 19:57:41 2015  A3: 73230310522607368819384
Mon Dec 21 19:57:41 2015  A4: -190657861142439
Mon Dec 21 19:57:41 2015  A5: 1640100
Mon Dec 21 19:57:41 2015  skew 45137920.00, size 9.851e-019, alpha -6.008, combined = 1.685e-014 rroots = 3
Mon Dec 21 19:57:41 2015  commencing relation filtering
Mon Dec 21 19:57:41 2015  setting target matrix density to 100.0
Mon Dec 21 19:57:41 2015  estimated available RAM is 32685.6 MB
Mon Dec 21 19:57:41 2015  commencing duplicate removal, pass 1
Mon Dec 21 22:20:59 2015  error -5 reading relation 414861094
                          ...
Mon Dec 21 22:20:59 2015  skipped 1 relations with b > 2^32
Mon Dec 21 22:20:59 2015  skipped 76 relations with composite factors
Mon Dec 21 22:20:59 2015  found 98528055 hash collisions in 414462135 relations
Mon Dec 21 22:22:07 2015  added 122124 free relations
Mon Dec 21 22:22:07 2015  commencing duplicate removal, pass 2
Mon Dec 21 22:30:01 2015  found 100137546 duplicates and 314446713 unique relations
Mon Dec 21 22:30:01 2015  memory use: 2387.0 MB
Mon Dec 21 22:30:02 2015  reading ideals above 199950336
Mon Dec 21 22:30:02 2015  commencing singleton removal, initial pass
Mon Dec 21 23:54:16 2015  memory use: 6024.0 MB
Mon Dec 21 23:54:17 2015  reading all ideals from disk
Mon Dec 21 23:55:09 2015  memory use: 6062.3 MB
Mon Dec 21 23:55:33 2015  commencing in-memory singleton removal
Mon Dec 21 23:55:57 2015  begin with 314446712 relations and 305462970 unique ideals
Tue Dec 22 00:02:24 2015  reduce to 164423583 relations and 136272850 ideals in 22 passes
Tue Dec 22 00:02:24 2015  max relations containing the same ideal: 27
Tue Dec 22 00:02:49 2015  reading ideals above 720000
Tue Dec 22 00:02:49 2015  commencing singleton removal, initial pass
Tue Dec 22 00:57:20 2015  memory use: 3012.0 MB
Tue Dec 22 00:57:20 2015  reading all ideals from disk
Tue Dec 22 00:58:23 2015  memory use: 7071.9 MB
Tue Dec 22 00:58:55 2015  keeping 157538180 ideals with weight <= 200, target excess is 888231
Tue Dec 22 00:59:30 2015  commencing in-memory singleton removal
Tue Dec 22 00:59:55 2015  begin with 164423583 relations and 157538180 unique ideals
Tue Dec 22 01:04:50 2015  reduce to 164409755 relations and 157524352 ideals in 9 passes
Tue Dec 22 01:04:50 2015  max relations containing the same ideal: 200
Tue Dec 22 01:06:59 2015  removing 10777182 relations and 9777182 ideals in 1000000 cliques
Tue Dec 22 01:07:04 2015  commencing in-memory singleton removal
Tue Dec 22 01:07:28 2015  begin with 153632573 relations and 157524352 unique ideals
Tue Dec 22 01:12:25 2015  reduce to 152979562 relations and 147088012 ideals in 10 passes
Tue Dec 22 01:12:25 2015  max relations containing the same ideal: 198
Tue Dec 22 01:14:23 2015  removing 7978224 relations and 6978224 ideals in 1000000 cliques
Tue Dec 22 01:14:27 2015  commencing in-memory singleton removal
Tue Dec 22 01:14:46 2015  begin with 145001338 relations and 147088012 unique ideals
Tue Dec 22 01:18:59 2015  reduce to 144607076 relations and 139712506 ideals in 9 passes
Tue Dec 22 01:18:59 2015  max relations containing the same ideal: 192
Tue Dec 22 01:20:50 2015  removing 7111434 relations and 6111434 ideals in 1000000 cliques
Tue Dec 22 01:20:54 2015  commencing in-memory singleton removal
Tue Dec 22 01:21:13 2015  begin with 137495642 relations and 139712506 unique ideals
Tue Dec 22 01:25:45 2015  reduce to 137162024 relations and 133264978 ideals in 10 passes
Tue Dec 22 01:25:45 2015  max relations containing the same ideal: 188
Tue Dec 22 01:27:31 2015  removing 6657635 relations and 5657635 ideals in 1000000 cliques
Tue Dec 22 01:27:35 2015  commencing in-memory singleton removal
Tue Dec 22 01:27:54 2015  begin with 130504389 relations and 133264978 unique ideals
Tue Dec 22 01:31:32 2015  reduce to 130195007 relations and 127295764 ideals in 9 passes
Tue Dec 22 01:31:32 2015  max relations containing the same ideal: 181
Tue Dec 22 01:33:14 2015  removing 6372404 relations and 5372404 ideals in 1000000 cliques
Tue Dec 22 01:33:17 2015  commencing in-memory singleton removal
Tue Dec 22 01:33:35 2015  begin with 123822603 relations and 127295764 unique ideals
Tue Dec 22 01:36:39 2015  reduce to 123522289 relations and 121620782 ideals in 8 passes
Tue Dec 22 01:36:39 2015  max relations containing the same ideal: 175
Tue Dec 22 01:38:17 2015  removing 5515948 relations and 4644789 ideals in 871159 cliques
Tue Dec 22 01:38:20 2015  commencing in-memory singleton removal
Tue Dec 22 01:38:38 2015  begin with 118006341 relations and 121620782 unique ideals
Tue Dec 22 01:41:29 2015  reduce to 117774461 relations and 116742457 ideals in 8 passes
Tue Dec 22 01:41:29 2015  max relations containing the same ideal: 172
Tue Dec 22 01:43:25 2015  relations with 0 large ideals: 3035
Tue Dec 22 01:43:25 2015  relations with 1 large ideals: 3721
Tue Dec 22 01:43:25 2015  relations with 2 large ideals: 63445
Tue Dec 22 01:43:25 2015  relations with 3 large ideals: 619747
Tue Dec 22 01:43:25 2015  relations with 4 large ideals: 3402989
Tue Dec 22 01:43:25 2015  relations with 5 large ideals: 11382917
Tue Dec 22 01:43:25 2015  relations with 6 large ideals: 24142857
Tue Dec 22 01:43:25 2015  relations with 7+ large ideals: 78155750
Tue Dec 22 01:43:25 2015  commencing 2-way merge
Tue Dec 22 01:45:40 2015  reduce to 72237435 relation sets and 71205431 unique ideals
Tue Dec 22 01:45:40 2015  commencing full merge
Tue Dec 22 02:18:49 2015  memory use: 7559.0 MB
Tue Dec 22 02:19:03 2015  found 33817714 cycles, need 33727631
Tue Dec 22 02:19:06 2015  weight of 33727631 cycles is about 3372940246 (100.01/cycle)
Tue Dec 22 02:19:06 2015  distribution of cycle lengths:
Tue Dec 22 02:19:06 2015  1 relations: 3336233
Tue Dec 22 02:19:06 2015  2 relations: 3442812
Tue Dec 22 02:19:06 2015  3 relations: 3556805
Tue Dec 22 02:19:06 2015  4 relations: 3269553
Tue Dec 22 02:19:06 2015  5 relations: 3026143
Tue Dec 22 02:19:06 2015  6 relations: 2623209
Tue Dec 22 02:19:06 2015  7 relations: 2285047
Tue Dec 22 02:19:06 2015  8 relations: 2036801
Tue Dec 22 02:19:06 2015  9 relations: 1767454
Tue Dec 22 02:19:06 2015  10+ relations: 8383574
Tue Dec 22 02:19:06 2015  heaviest cycle: 28 relations
Tue Dec 22 02:19:15 2015  commencing cycle optimization
Tue Dec 22 02:20:43 2015  start with 227215481 relations
Tue Dec 22 02:32:03 2015  pruned 5982474 relations
Tue Dec 22 02:32:03 2015  memory use: 7161.5 MB
Tue Dec 22 02:32:03 2015  distribution of cycle lengths:
Tue Dec 22 02:32:03 2015  1 relations: 3336233
Tue Dec 22 02:32:03 2015  2 relations: 3533210
Tue Dec 22 02:32:03 2015  3 relations: 3694123
Tue Dec 22 02:32:03 2015  4 relations: 3358302
Tue Dec 22 02:32:03 2015  5 relations: 3100071
Tue Dec 22 02:32:03 2015  6 relations: 2660273
Tue Dec 22 02:32:03 2015  7 relations: 2314928
Tue Dec 22 02:32:03 2015  8 relations: 2039427
Tue Dec 22 02:32:03 2015  9 relations: 1758857
Tue Dec 22 02:32:03 2015  10+ relations: 7932207
Tue Dec 22 02:32:03 2015  heaviest cycle: 28 relations
Tue Dec 22 02:36:13 2015  RelProcTime: 23912
Tue Dec 22 02:36:13 2015  
Tue Dec 22 02:36:13 2015  commencing linear algebra
Tue Dec 22 02:36:23 2015  read 33727631 cycles
Tue Dec 22 02:38:01 2015  cycles contain 116756828 unique relations
Tue Dec 22 03:06:34 2015  read 116756828 relations
Tue Dec 22 03:11:15 2015  using 20 quadratic characters above 4294917296
Tue Dec 22 03:22:34 2015  building initial matrix
Tue Dec 22 04:01:22 2015  memory use: 16268.2 MB
Tue Dec 22 04:02:42 2015  read 33727631 cycles
Tue Dec 22 04:02:58 2015  matrix is 33727451 x 33727631 (13852.9 MB) with weight 4214822042 (124.97/col)
Tue Dec 22 04:02:58 2015  sparse part has weight 3226734362 (95.67/col)
Tue Dec 22 04:14:49 2015  filtering completed in 2 passes
Tue Dec 22 04:15:05 2015  matrix is 33716820 x 33716998 (13852.1 MB) with weight 4214400643 (124.99/col)
Tue Dec 22 04:15:05 2015  sparse part has weight 3226641131 (95.70/col)
Tue Dec 22 04:19:48 2015  matrix starts at (0, 0)
Tue Dec 22 04:20:03 2015  matrix is 33716820 x 33716998 (13852.1 MB) with weight 4214400643 (124.99/col)
Tue Dec 22 04:20:03 2015  sparse part has weight 3226641131 (95.70/col)
Tue Dec 22 04:20:04 2015  saving the first 48 matrix rows for later
Tue Dec 22 04:20:18 2015  matrix includes 64 packed rows
Tue Dec 22 04:20:26 2015  matrix is 33716772 x 33716998 (13421.8 MB) with weight 3527923599 (104.63/col)
Tue Dec 22 04:20:26 2015  sparse part has weight 3181286831 (94.35/col)
Tue Dec 22 04:20:26 2015  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Tue Dec 22 04:25:33 2015  commencing Lanczos iteration (12 threads)
Tue Dec 22 04:25:33 2015  memory use: 11477.0 MB
Tue Dec 22 04:29:51 2015  checkpointing every 30000 dimensions
Sun Feb 14 22:08:18 2016  lanczos halted after 533190 iterations (dim = 33716770)
Sun Feb 14 22:10:07 2016  recovered 30 nontrivial dependencies
Sun Feb 14 22:16:48 2016  BLanczosTime: 4736435
Sun Feb 14 22:16:48 2016  
Sun Feb 14 22:16:48 2016  commencing square root phase
Sun Feb 14 22:16:48 2016  handling dependencies 1 to 64
Sun Feb 14 22:16:48 2016  reading relations for dependency 1
Sun Feb 14 22:17:01 2016  read 16857481 cycles
Sun Feb 14 22:18:05 2016  cycles contain 58366866 unique relations
Sun Feb 14 22:34:31 2016  read 58366866 relations
Sun Feb 14 22:46:18 2016  multiplying 58366866 relations
Mon Feb 15 01:43:34 2016  multiply complete, coefficients have about 3609.38 million bits
Mon Feb 15 01:44:25 2016  initial square root is modulo 124544291
Mon Feb 15 05:10:16 2016  GCD is 1, no factor found
Mon Feb 15 05:10:16 2016  reading relations for dependency 2
Mon Feb 15 05:10:27 2016  read 16858327 cycles
Mon Feb 15 05:11:31 2016  cycles contain 58378422 unique relations
Mon Feb 15 05:27:51 2016  read 58378422 relations
Mon Feb 15 05:39:34 2016  multiplying 58378422 relations
Mon Feb 15 08:39:04 2016  multiply complete, coefficients have about 3610.09 million bits
Mon Feb 15 08:39:58 2016  initial square root is modulo 125000657
Mon Feb 15 12:08:48 2016  sqrtTime: 49920
Mon Feb 15 12:08:48 2016  prp92 factor: 54416219768345058780693800256182138078138198676424989328564702046179663087831396313663972761
Mon Feb 15 12:08:48 2016  prp98 factor: 17500153473843835643659270355470657205090174411982714039596980290556087603273388378126638862157661
Mon Feb 15 12:08:48 2016  elapsed time 1336:11:08

# 1120 of 200000 Phi_n(10) factorizations were finished.

Largest known factors that appear after the previous one
  1  n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009)
  2  n=1540M: 647799461893729229242068652342456021003805852058736425973158141325454469108253161834095467738437014341 (NFS@Home / Sep 18, 2013)
  3  n=2340L: 54416219768345058780693800256182138078138198676424989328564702046179663087831396313663972761 (Bo Chen, Wenjie Fang, Maksym Voznyy and Kurt Beschorner / Feb 15, 2016)
  4  n=2700M: 156769564119516597956194927133905066434402684839835301 (Mr. Hankey / Aug 18, 2013)
  5  n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010)
  6  n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011)
  7  n=82700L: 7732652742988151960568776872507813340801 (Alfred Reich / Dec 12, 2010)
  8  n=120833: 79670409416595961896605938971188364397 (Maksym Voznyy / Nov 27, 2015)
  9  n=199700M: 16745944922383579468094190800250901 (Serge Batalov / Jul 6, 2015)
  10  n=199900L: 612937240365283738637341628923301 (Serge Batalov / Jul 6, 2015)
  11  n=199940L: 37392384580207183395063521 (Serge Batalov / Jul 6, 2015)
  12  n=199996: 599236237566764612695261 (Serge Batalov / Jul 7, 2015)
  13  n=199999: 35434773177895836763 (Serge Batalov / Jul 6, 2015)
  14  n=200000: 572400001 (Makoto Kamada / Apr 1, 2015)

February 15, 2016 2016 年 2 月 15 日 (Makoto Kamada)

n=107094: c32919(3808357859......) = 15271148317942628035489910437 * c32891(2493825467......)

n=107316: c32387(3574421749......) = 5412131351270896399835516929 * c32359(6604462304......)

n=107382: c32520(9100000000......) = 9176074031171521 * c32504(9917095229......)

n=108372: c32800(9901000000......) = 34592988592433701 * c32784(2862140683......)

n=108504: c32621(1054981244......) = 280098706869433 * c32606(3766462389......)

n=108768: c32640(9999999999......) = 191292378320737 * c32626(5227599807......)

n=109446: c32243(6171655522......) = 319053877752961369 * c32226(1934361546......)

n=110466: c32816(1943601443......) = 1671005731316622139 * c32798(1163132721......)

n=110484: c32400(9999999999......) = 77713631553889 * c32387(1286775537......)

n=112632: c32825(4648414172......) = 5206511373643201441 * c32806(8928078398......)

# P-1 B1=1e6

# 138487 of 200000 Phi_n(10) factorizations were cracked.

February 14, 2016 2016 年 2 月 14 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=40487: c40487(1111111111......) = 197348172391173871271 * c40466(5630207250......)

# ECM B1=11e3, sigma=1143132952

# 138483 of 200000 Phi_n(10) factorizations were cracked.

# 13666 of 17984 R_prime factorizations were cracked.

February 14, 2016 2016 年 2 月 14 日 (Makoto Kamada)

n=100014: c32753(2309321306......) = 6071332176546663277 * c32734(3803648423......)

n=100068: c32137(6522414226......) = 81567625894369 * c32123(7996327163......)

n=100182: c32700(1432365807......) = 1601204502099463 * 24343771209685339 * c32668(3674677964......)

n=100566: c32394(2069538066......) = 2929996568360143 * 129711831185371879290601 * c32355(5445361506......)

n=100614: c32625(3472971070......) = 154465968679357 * c32611(2248372958......)

n=100626: c32400(9100000000......) = 3592879416292604413 * c32382(2532787479......)

n=100746: c32234(1593241292......) = 371377103199463 * c32219(4290090259......)

n=100956: c32736(3887304212......) = 102933996375495421 * c32719(3776501787......)

n=100962: c32738(8273325435......) = 61371166439330097003739 * c32716(1348080200......)

n=101080: c32832(9999999999......) = 2638389177704561 * c32817(3790191410......)

n=101106: c32640(9990010000......) = 544195632001906369 * c32623(1835738733......)

n=101676: c32832(9901000000......) = 63940469605921 * c32819(1548471580......)

n=101742: c32754(3726745212......) = 453013101648531241 * c32736(8226572694......)

n=101920: c32256(9999999999......) = 946895564672619166725121 * c32233(1056082674......)

n=102534: c32641(5100634681......) = 852643081380022099 * c32623(5982145158......)

n=103398: c32608(2248006105......) = 6341137245612223 * c32592(3545115045......)

n=103632: c32256(9999999900......) = 973466652775788075169 * c32236(1027256544......)

n=103854: c32760(9100000000......) = 27394019665339799063983 * c32738(3321892920......)

n=103938: c32576(9100000000......) = 56813035375087 * c32563(1601745081......)

n=104856: c32768(9999000100......) = 1614984499464571033 * c32750(6191390755......)

n=105066: c32249(2226772451......) = 278133165864451 * c32234(8006137796......)

n=105768: c32256(9999999999......) = 2458583647566805513 * c32238(4067382458......)

n=106062: c32113(2150347627......) = 205211604997673816270484757 * c32087(1047868431......)

# P-1 B1=1e6

# 138482 of 200000 Phi_n(10) factorizations were cracked.

February 13, 2016 2016 年 2 月 13 日 (Makoto Kamada)

n=117306: c31739(4451646710......) = 4525348776386097241 * c31720(9837135060......)

n=117690: c31376(9100090999......) = 2764849873167451 * c31361(3291350857......)

n=117720: c31094(3091827152......) = 283164918510360385516321 * c31071(1091882133......)

n=117870: c31413(5458279527......) = 92205293768092081 * c31396(5919702984......)

n=117960: c31409(2581334204......) = 36631038819107349361 * c31389(7046849579......)

n=118200: c31342(1735276737......) = 1417693924498801 * c31327(1224013665......)

n=118290: c31536(9100090999......) = 10042097656651 * c31523(9061942346......)

n=118350: c31425(2097281973......) = 563893902907576201 * c31407(3719284713......)

n=118524: c31489(1009998990......) = 5313128448529861 * c31473(1900949694......)

n=118710: c31632(9990010000......) = 223569394021982161 * c31615(4468415743......)

n=118890: c31662(1905335629......) = 25315914166694438041 * c31642(7526236726......)

n=118902: c31969(1098900989......) = 3926136693049176708691 * c31947(2798937161......)

n=119010: c31728(9100090999......) = 90041861706211 * c31715(1010651137......)

n=119400: c31675(4187587154......) = 567902157101035201 * 4139583715598432401 * c31639(1781286066......)

n=119760: c31850(1541009422......) = 3295488375359041 * c31834(4676118519......)

n=119880: c31096(3007092639......) = 15112391930428521601 * c31077(1989819119......)

n=120240: c31872(9999999999......) = 333881117536321 * c31858(2995078030......)

n=121758: c31943(9396308239......) = 20115645876691 * c31930(4671144191......)

n=121830: c31191(2101748682......) = 394973163380331156860245051 * c31164(5321244270......)

n=122610: c31638(3043461405......) = 722534281204441 * c31623(4212203469......)

n=123510: c31306(7907019130......) = 184222709070216931 * c31289(4292097956......)

n=123930: c31104(9999999999......) = 3417530791582081 * c31089(2926089217......)

n=124230: c31993(1560072259......) = 104412838226491 * c31979(1494138351......)

n=126750: c31200(9999999999......) = 82679590890772955547001 * c31178(1209488326......)

n=127530: c31105(1000999998......) = 359314457448928411 * c31087(2785860624......)

n=129690: c31183(6626794354......) = 284863250476105291 * c31166(2326307217......)

n=130680: c31680(9999999999......) = 15910082360896096953118481762161 * c31649(6285322585......)

n=133320: c31985(7454908418......) = 326843348122560721 * c31968(2280881180......)

n=134310: c31671(7135085755......) = 2354782628316361 * 11196072002173926590251 * c31634(2706342085......)

n=137130: c31291(8013432412......) = 12057547498983211 * c31275(6645988674......)

n=137550: c31201(1000009999......) = 893536297687857601 * c31183(1119159907......)

n=140280: c31867(3564643696......) = 918904859355841 * c31852(3879230433......)

n=149730: c31675(6077627151......) = 4941894474740269201 * c31657(1229817265......)

n=154770: c31642(6056962255......) = 2021087222510737270891 * c31621(2996883156......)

n=155300L: c31023(8417100721......) = 9369033114437334736671601 * c30998(8983958770......)

n=155780L: c31147(1147900411......) = 71876384450066401 * c31130(1597048070......)

n=155860L: c31168(3576409999......) = 1966551262962718178573080801 * c31141(1818620275......)

n=155860M: c31169(2824060999......) = 6661799797773874857001 * c31147(4239186234......)

n=155900M: c31121(2495616364......) = 20464719083701 * c31108(1219472573......)

n=157060M: c31401(5295575783......) = 3073768618203791952870281 * c31377(1722828371......)

n=157900M: c31521(7997391206......) = 2474526649524901 * c31506(3231887281......)

n=158540L: c31683(2387419456......) = 279997158005935401140761 * c31659(8526584603......)

n=158540M: c31699(5937628909......) = 643975367480251901 * c31681(9220273336......)

n=158660M: c31711(2481710710......) = 9150170740267418161 * c31692(2712201532......)

n=159580M: c31200(3541000000......) = 27514875587400594521 * c31181(1286940218......)

n=159700M: c31897(9771831936......) = 144050690056601 * 5637876590706026801 * c31865(1203220106......)

n=159860M: c31944(3092540740......) = 1483628022822541 * c31929(2084444815......)

n=160060L: c31200(3541000000......) = 311881224544875225656081 * c31177(1135368121......)

n=160460L: c31361(2796099999......) = 733855955877597936821 * c31340(3810148269......)

n=161540M: c31354(5245158297......) = 16567649211178158950881 * c31332(3165903762......)

n=161660L: c31552(3540999999......) = 95705468342754169108283459981 * c31523(3699893079......)

n=163180M: c31676(1713496056......) = 118895874609475721 * c31659(1441173684......)

n=164140M: c31562(6073604866......) = 3890622679098902441 * c31544(1561088125......)

n=164300L: c31192(1456578702......) = 234245446684158593401 * c31171(6218172961......)

n=164300M: c31189(2965728864......) = 49744628509689497401 * c31169(5961907754......)

n=164540L: c31104(3540999996......) = 54178784926742383241 * c31084(6535768569......)

n=164540M: c31099(8496692312......) = 849115915847981 * c31085(1000651637......)

n=165140L: c31486(8706849199......) = 348388213548992297501 * c31466(2499180184......)

n=165140M: c31478(5653433732......) = 562859568538070106841 * c31458(1004412832......)

n=165580M: c31074(4459881004......) = 229765773418001995201 * c31054(1941055422......)

n=166940L: c31352(8949878844......) = 586503353232274041340951921 * c31326(1525972323......)

n=166940M: c31354(1222564296......) = 55422286730521 * c31340(2205907349......)

n=168220M: c31002(3508302651......) = 633010114143800998021 * c30981(5542253707......)

n=169660L: c31867(2087103084......) = 3335297484581447201 * c31848(6257621979......)

n=170300L: c31177(9026389528......) = 162986878705990785993738101 * c31151(5538108098......)

n=170300M: c31189(5739670608......) = 16284990484212301656495601 * c31164(3524515789......)

n=171340M: c31572(5895605367......) = 3582634800197864321 * c31554(1645606012......)

n=182980M: c31332(9568483797......) = 106838373179717761 * c31315(8956036593......)

n=184660M: c31632(3537460769......) = 7338742319042732435041 * c31610(4820254773......)

n=185500M: c31167(8844121907......) = 1235234306218501 * c31152(7159873930......)

n=187180M: c31913(7116147940......) = 10965819066696061 * c31897(6489390256......)

n=191620M: c31653(3509383942......) = 468523918844072521 * c31635(7490298363......)

n=198380L: c31087(8162331700......) = 161451325737521 * c31073(5055599056......)

# P-1 B1=1e6

# 138472 of 200000 Phi_n(10) factorizations were cracked.

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