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November 30, 2018 2018 年 11 月 30 日 (Makoto Kamada)

n=116192: c58072(2193283508......) = 7831268599453121 * c58056(2800674603......)

n=116198: c58087(2754877231......) = 32191514487047 * 1120879091243851 * c58058(7634877489......)

n=116216: c57025(1000099999......) = 10722496468761977 * c57008(9327118949......)

n=116222: c58110(9090909090......) = 2655300703363277 * c58095(3423683456......)

n=116234: c57366(1400004751......) = 40192185003413 * c57352(3483276042......)

n=116246: c50286(9270165525......) = 2857323915053669545711293691 * c50259(3244352338......)

n=116248: c52790(1503680701......) = 32087434486681201 * c52773(4686197962......)

n=116252: c58084(2967061457......) = 810482462699070622709 * c58063(3660858308......)

n=116254: c56505(1291848189......) = 86358672251686674419 * 320899098136309499663 * c56464(4661621712......)

n=116265: c59136(9009099100......) = 105439457021309401 * c59119(8544333738......)

# P-1 B1=1e6

# 140664 of 200000 Φn(10) factorization were cracked. 200000 個中 140664 個の Φn(10) の素因数が見つかりました。

November 29, 2018 2018 年 11 月 29 日 (Makoto Kamada)

n=116098: c58043(7830307832......) = 20501782681199170933903 * c58021(3819330228......)

n=116126: c56155(1578742660......) = 3860712963372259 * c56139(4089251585......)

n=116132: c58064(9900990099......) = 1565731679468120717010301 * c58040(6323554813......)

n=116138: c52771(9541141134......) = 5096824603008139 * c52756(1871977530......)

n=116146: c58066(6020872317......) = 15058431805357 * c58053(3998339531......)

n=116162: c57840(9999999999......) = 567685713346036237 * c57823(1761538077......)

n=116164: c57345(1009999999......) = 23215578106181 * c57331(4350527027......)

n=116168: c53556(3430962129......) = 1626845529904969193 * c53538(2108966134......)

n=116176: c56553(9827639145......) = 667479015468256961 * c56536(1472351777......)

# P-1 B1=1e6

# 140661 of 200000 Φn(10) factorization were cracked. 200000 個中 140661 個の Φn(10) の素因数が見つかりました。

November 28, 2018 2018 年 11 月 28 日 (Makoto Kamada)

n=116038: c53535(2981304278......) = 13447941014058051931 * c53516(2216922483......)

# P-1 B1=1e6

November 27, 2018 2018 年 11 月 27 日 (Makoto Kamada)

n=115964: c56785(1009999999......) = 3591420196719149 * c56769(2812257949......)

n=115978: c57319(9484475637......) = 642382222338595447 * c57302(1476453629......)

n=115982: c57984(1187606946......) = 5144255232069413 * c57968(2308608132......)

n=115994: c56957(1099999999......) = 37102762556447496013169 * c56934(2964738807......)

n=115995: c51832(1635774749......) = 553313784023881 * c51817(2956323873......)

n=115996: c56658(2968858012......) = 38084650010921 * c56644(7795418919......)

n=116026: c58012(9090909090......) = 12577253439853 * c57999(7228055898......)

n=116036: c58008(4019165417......) = 465781675246361 * c57993(8628861184......)

# P-1 B1=1e6

# 140658 of 200000 Φn(10) factorization were cracked. 200000 個中 140658 個の Φn(10) の素因数が見つかりました。

November 26, 2018 2018 年 11 月 26 日 (Makoto Kamada)

n=115876: c56835(2905396270......) = 405319644495349 * c56820(7168160511......)

n=115882: c53456(7995499311......) = 15661683621798691517 * c53437(5105133971......)

n=115904: c57899(4342448301......) = 825390084111465601 * c57881(5261086103......)

n=115928: c56442(2974794410......) = 1134942487224401 * c56427(2621097054......)

n=115946: c57956(1553011984......) = 2805272786867521 * c57940(5536046232......)

n=115952: c57959(2487240648......) = 18483386258741317661254993 * c57934(1345662863......)

# P-1 B1=1e6

November 25, 2018 2018 年 11 月 25 日 (Makoto Kamada)

n=115814: c57077(1933647603......) = 34859194154431211 * c57060(5547023247......)

n=115828: c55331(2587056586......) = 755731815286824721 * c55313(3423246889......)

n=115852: c52641(1009999999......) = 1401431981619321146969 * 307545087348006864701688729541 * c52590(2343368326......)

# P-1 B1=1e6

# 140655 of 200000 Φn(10) factorization were cracked. 200000 個中 140655 個の Φn(10) の素因数が見つかりました。

November 24, 2018 2018 年 11 月 24 日 (Makoto Kamada)

n=115754: c55973(1586462639......) = 9228729732842524496893601 * c55948(1719047675......)

n=115762: c57868(8463435159......) = 70338832003334441 * c57852(1203237943......)

n=115778: c51819(1463879088......) = 1151524111863574694396239358167 * c51789(1271253526......)

n=115785: c59040(9990000009......) = 21746204236441 * c59027(4593905171......)

n=115792: c57877(3551564130......) = 18898841213569 * c57864(1879249680......)

n=115796: c57896(9900990099......) = 846172337069183149 * c57879(1170091441......)

# P-1 B1=1e6

# 140654 of 200000 Φn(10) factorization were cracked. 200000 個中 140654 個の Φn(10) の素因数が見つかりました。

November 23, 2018 2018 年 11 月 23 日 (Makoto Kamada)

n=115642: c56887(2378023602......) = 94513095643052837573491 * c56864(2516078419......)

n=115658: c57814(1540416864......) = 2715705628908539 * c57798(5672252722......)

n=115664: c57824(9999999900......) = 2040573981146417 * c57809(4900581891......)

n=115665: c55982(9157558550......) = 10139524808733906694351 * c55960(9031546076......)

n=115676: c52361(1000000000......) = 39032134858289 * c52347(2561991558......)

n=115694: c57846(9090909090......) = 18117348242527 * c57833(5017792322......)

n=115702: c52470(2358230333......) = 14402158366727 * c52457(1637414527......)

n=115712: c57327(1300503165......) = 2541422320106497 * c57311(5117225718......)

n=115714: c56572(6515556035......) = 1057751483885779 * c56557(6159817437......)

# P-1 B1=1e6

# 140652 of 200000 Φn(10) factorization were cracked. 200000 個中 140652 個の Φn(10) の素因数が見つかりました。

November 23, 2018 2018 年 11 月 23 日 (WhiteFire)

# via yoyo@home

n=953: c942(9221473015......) = 601571969724357908830782907588971858878664579169 * c895(1532896058......)

# ECM B1=43000000, sigma=0:2441301558609603979

November 22, 2018 2018 年 11 月 22 日 (Makoto Kamada)

n=115575: c58080(9999900000......) = 1167048792033720151 * 16525410887773225951 * c58043(5185067052......)

n=115576: c57784(9999000099......) = 14951687683993 * c57771(6687539434......)

n=115588: c50387(4574435127......) = 3186283411926124271609 * c50366(1435664859......)

n=115618: c57808(9090909090......) = 15394863483029228546767 * c57786(5905157327......)

n=115628: c57121(1009999999......) = 5057504175294121 * c57105(1997032459......)

# P-1 B1=1e6

# 140649 of 200000 Φn(10) factorization were cracked. 200000 個中 140649 個の Φn(10) の素因数が見つかりました。

November 21, 2018 2018 年 11 月 21 日 (Makoto Kamada)

n=115502: c57744(5247184085......) = 1881439208344159904521 * c57723(2788920344......)

n=115504: c57744(9999999900......) = 1125084930186382513 * c57726(8888217797......)

n=115516: c57733(1015593113......) = 42796813006886761 * c57716(2373057810......)

n=115522: c51018(2638720983......) = 3411755893736521 * c51002(7734202168......)

n=115546: c57766(2537993959......) = 476979480426401 * c57751(5320970951......)

n=115564: c57095(3105036394......) = 3306367028696327821 * c57076(9391082016......)

# P-1 B1=1e6

# 140645 of 200000 Φn(10) factorization were cracked. 200000 個中 140645 個の Φn(10) の素因数が見つかりました。

November 20, 2018 2018 年 11 月 20 日 (Makoto Kamada)

n=115426: c57698(2107153919......) = 2536342598587356036173 * c57676(8307844220......)

n=115432: c56286(4127400915......) = 38441615538631489 * c56270(1073680400......)

n=115436: c57716(9900990099......) = 93610520283441161607181 * c57694(1057679208......)

n=115442: c57233(1099999999......) = 10245007174106630838248891 * c57208(1073693733......)

n=115448: c57700(8360291300......) = 74283759179417 * c57687(1125453449......)

n=115466: c53275(1905319478......) = 4778561721193561289 * c53256(3987223750......)

n=115474: c57696(2648479127......) = 182115955339961 * c57682(1454281763......)

# P-1 B1=1e6

# 140644 of 200000 Φn(10) factorization were cracked. 200000 個中 140644 個の Φn(10) の素因数が見つかりました。

November 19, 2018 2018 年 11 月 19 日 (Makoto Kamada)

n=115352: c57672(9999000099......) = 7577355449356961 * c57657(1319589686......)

n=115364: c56995(4377429798......) = 330136592939581 * c56981(1325945045......)

n=115378: c57681(3597826168......) = 13073136049493347699 * c57662(2752075825......)

n=115408: c57687(2076123847......) = 4168475501777761 * c57671(4980535081......)

n=115412: c50400(9900990099......) = 559173721356611989 * c50383(1770646530......)

# P-1 B1=1e6

# 140642 of 200000 Φn(10) factorization were cracked. 200000 個中 140642 個の Φn(10) の素因数が見つかりました。

November 18, 2018 2018 年 11 月 18 日 (Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche and Kurt Beschorner)

n=447: c242(6932101407......) = 171965701068496883745528184125987011516361211819168507125947606393599406276344599684907 * p156(4031095366......)

# snfs

# 1144 of 200000 Φn(10) factorization were finished. 200000 個中 1144 個の Φn(10) の素因数分解が終わりました。

Sat Oct 06 04:58:46 2018  Msieve v. 1.54 (SVN 1018)
Sat Oct 06 04:58:46 2018  random seeds: e3918a68 32ce80a5
Sat Oct 06 04:58:46 2018  factoring 69321014077064724019571549358862835996841447139912495343062967983949554947479478571581383734991370175536866202887278999373991988107804240628646717482866215329222782659915672388735946673582832868303624397508087015243244997035632300227764933519 (242 digits)
Sat Oct 06 04:58:47 2018  searching for 15-digit factors
Sat Oct 06 04:58:48 2018  commencing number field sieve (242-digit input)
Sat Oct 06 04:58:48 2018  R0: -100000000000000000000000000000000000000000000000000
Sat Oct 06 04:58:48 2018  R1: 1
Sat Oct 06 04:58:48 2018  A0: 100
Sat Oct 06 04:58:48 2018  A1: 0
Sat Oct 06 04:58:48 2018  A2: 0
Sat Oct 06 04:58:48 2018  A3: 10
Sat Oct 06 04:58:48 2018  A4: 0
Sat Oct 06 04:58:48 2018  A5: 0
Sat Oct 06 04:58:48 2018  A6: 1
Sat Oct 06 04:58:48 2018  skew 2.95, size 1.246e-014, alpha -0.127, combined = 3.929e-015 rroots = 0
Sat Oct 06 04:58:48 2018  commencing relation filtering
Sat Oct 06 04:58:48 2018  setting target matrix density to 120.0
Sat Oct 06 04:58:48 2018  estimated available RAM is 65214.1 MB
Sat Oct 06 04:58:48 2018  commencing duplicate removal, pass 1
Sat Oct 06 04:59:37 2018  error -9 reading relation 4525107
...
Sat Oct 06 07:17:12 2018  skipped 20467 relations with b > 2^32
Sat Oct 06 07:17:12 2018  skipped 495 relations with composite factors
Sat Oct 06 07:17:12 2018  found 117072180 hash collisions in 755265371 relations
Sat Oct 06 07:17:23 2018  added 1 free relations
Sat Oct 06 07:17:23 2018  commencing duplicate removal, pass 2
Sat Oct 06 07:29:27 2018  found 25043240 duplicates and 730222132 unique relations
Sat Oct 06 07:29:27 2018  memory use: 4518.0 MB
Sat Oct 06 07:29:28 2018  reading ideals above 431030272
Sat Oct 06 07:29:28 2018  commencing singleton removal, initial pass
Sat Oct 06 09:29:40 2018  memory use: 11024.0 MB
Sat Oct 06 09:29:41 2018  reading all ideals from disk
Sat Oct 06 09:29:51 2018  memory use: 13762.1 MB
Sat Oct 06 09:31:03 2018  commencing in-memory singleton removal
Sat Oct 06 09:32:11 2018  begin with 730222132 relations and 624045914 unique ideals
Sat Oct 06 09:51:04 2018  reduce to 488536219 relations and 359290715 ideals in 16 passes
Sat Oct 06 09:51:04 2018  max relations containing the same ideal: 31
Sat Oct 06 09:52:11 2018  reading ideals above 720000
Sat Oct 06 09:52:13 2018  commencing singleton removal, initial pass
Sat Oct 06 11:48:09 2018  memory use: 11024.0 MB
Sat Oct 06 11:48:10 2018  reading all ideals from disk
Sat Oct 06 11:48:29 2018  memory use: 22023.2 MB
Sat Oct 06 11:50:26 2018  keeping 402483262 ideals with weight <= 200, target excess is 2607065
...
Sat Oct 06 21:45:43 2018  commencing in-memory singleton removal
Sat Oct 06 21:46:04 2018  begin with 141745329 relations and 142664143 unique ideals
Sat Oct 06 21:49:15 2018  reduce to 141616321 relations and 138591294 ideals in 7 passes
Sat Oct 06 21:49:15 2018  max relations containing the same ideal: 96
Sat Oct 06 21:51:39 2018  relations with 0 large ideals: 65943
Sat Oct 06 21:51:39 2018  relations with 1 large ideals: 30581
Sat Oct 06 21:51:39 2018  relations with 2 large ideals: 455061
Sat Oct 06 21:51:39 2018  relations with 3 large ideals: 3079754
Sat Oct 06 21:51:39 2018  relations with 4 large ideals: 11406833
Sat Oct 06 21:51:39 2018  relations with 5 large ideals: 25593658
Sat Oct 06 21:51:39 2018  relations with 6 large ideals: 36492971
Sat Oct 06 21:51:39 2018  relations with 7+ large ideals: 64491520
Sat Oct 06 21:51:39 2018  commencing 2-way merge
Sat Oct 06 21:54:38 2018  reduce to 90132240 relation sets and 87107213 unique ideals
Sat Oct 06 21:54:38 2018  commencing full merge
Sat Oct 06 22:56:57 2018  memory use: 11212.0 MB
Sat Oct 06 22:57:37 2018  found 41059399 cycles, need 40763413
Sat Oct 06 22:57:41 2018  weight of 40763413 cycles is about 4892357921 (120.02/cycle)
Sat Oct 06 22:57:41 2018  distribution of cycle lengths:
Sat Oct 06 22:57:41 2018  1 relations: 2860257
Sat Oct 06 22:57:41 2018  2 relations: 2953546
Sat Oct 06 22:57:41 2018  3 relations: 3046688
Sat Oct 06 22:57:41 2018  4 relations: 3036747
Sat Oct 06 22:57:41 2018  5 relations: 3030362
Sat Oct 06 22:57:41 2018  6 relations: 2980876
Sat Oct 06 22:57:41 2018  7 relations: 2881308
Sat Oct 06 22:57:41 2018  8 relations: 2760500
Sat Oct 06 22:57:41 2018  9 relations: 2588644
Sat Oct 06 22:57:41 2018  10+ relations: 14624485
Sat Oct 06 22:57:41 2018  heaviest cycle: 28 relations
Sat Oct 06 23:03:14 2018  commencing cycle optimization
Sat Oct 06 23:05:57 2018  start with 331593529 relations
Sat Oct 06 23:32:38 2018  pruned 13563958 relations
Sat Oct 06 23:32:38 2018  memory use: 9231.7 MB
Sat Oct 06 23:32:38 2018  distribution of cycle lengths:
Sat Oct 06 23:32:39 2018  1 relations: 2860257
Sat Oct 06 23:32:39 2018  2 relations: 3026923
Sat Oct 06 23:32:39 2018  3 relations: 3173026
Sat Oct 06 23:32:39 2018  4 relations: 3153050
Sat Oct 06 23:32:39 2018  5 relations: 3168168
Sat Oct 06 23:32:39 2018  6 relations: 3105685
Sat Oct 06 23:32:39 2018  7 relations: 3013415
Sat Oct 06 23:32:39 2018  8 relations: 2871297
Sat Oct 06 23:32:39 2018  9 relations: 2688554
Sat Oct 06 23:32:39 2018  10+ relations: 13703038
Sat Oct 06 23:32:39 2018  heaviest cycle: 28 relations
Sat Oct 06 23:39:30 2018  RelProcTime: 67242
Sat Oct 06 23:39:30 2018  
Sat Oct 06 23:39:30 2018  commencing linear algebra
Sat Oct 06 23:39:55 2018  read 40763413 cycles
Sat Oct 06 23:42:46 2018  cycles contain 140036147 unique relations
Sun Oct 07 00:04:43 2018  read 140036147 relations
Sun Oct 07 00:13:03 2018  using 20 quadratic characters above 4294917295
Sun Oct 07 00:24:18 2018  building initial matrix
Sun Oct 07 01:26:49 2018  memory use: 18710.3 MB
Sun Oct 07 01:29:40 2018  read 40763413 cycles
Sun Oct 07 01:29:52 2018  matrix is 40763236 x 40763413 (19269.0 MB) with weight 5597046678 (137.31/col)
Sun Oct 07 01:29:52 2018  sparse part has weight 4602849360 (112.92/col)
Sun Oct 07 01:44:03 2018  filtering completed in 2 passes
Sun Oct 07 01:44:14 2018  matrix is 40761323 x 40761500 (19268.8 MB) with weight 5596979276 (137.31/col)
Sun Oct 07 01:44:14 2018  sparse part has weight 4602828028 (112.92/col)
Sun Oct 07 01:51:44 2018  matrix starts at (0, 0)
Sun Oct 07 01:51:55 2018  matrix is 40761323 x 40761500 (19268.8 MB) with weight 5596979276 (137.31/col)
Sun Oct 07 01:51:55 2018  sparse part has weight 4602828028 (112.92/col)
Sun Oct 07 01:51:55 2018  saving the first 48 matrix rows for later
Sun Oct 07 01:52:16 2018  matrix includes 64 packed rows
Sun Oct 07 01:52:26 2018  matrix is 40761275 x 40761500 (18644.3 MB) with weight 4828877229 (118.47/col)
Sun Oct 07 01:52:26 2018  sparse part has weight 4479876000 (109.90/col)
Sun Oct 07 01:52:26 2018  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
Sun Oct 07 02:00:28 2018  commencing Lanczos iteration (16 threads)
Sun Oct 07 02:00:28 2018  memory use: 16396.0 MB
Sun Oct 07 02:03:00 2018  linear algebra at 0.0%, ETA 1071h55m
Sun Oct 07 02:03:48 2018  checkpointing every 40000 dimensions
Sun Nov 18 01:26:31 2018  lanczos halted after 644592 iterations (dim = 40761273)
Sun Nov 18 01:27:22 2018  recovered 39 nontrivial dependencies
Sun Nov 18 01:31:06 2018  BLanczosTime: 3639096
Sun Nov 18 01:31:06 2018  
Sun Nov 18 01:31:06 2018  commencing square root phase
Sun Nov 18 01:31:06 2018  handling dependencies 1 to 64
Sun Nov 18 01:31:06 2018  reading relations for dependency 1
Sun Nov 18 01:31:29 2018  read 20383058 cycles
Sun Nov 18 01:32:52 2018  cycles contain 70029230 unique relations
Sun Nov 18 01:49:39 2018  read 70029230 relations
Sun Nov 18 02:02:40 2018  multiplying 70029230 relations
Sun Nov 18 03:46:23 2018  multiply complete, coefficients have about 1982.47 million bits
Sun Nov 18 03:46:32 2018  initial square root is modulo 781234637
Sun Nov 18 05:25:03 2018  sqrtTime: 14037
Sun Nov 18 05:25:03 2018  p87 factor: 171965701068496883745528184125987011516361211819168507125947606393599406276344599684907
Sun Nov 18 05:25:03 2018  p156 factor: 403109536647967823252626198527435162419900299742827908005840017638975777612947999010862228355924998943486126966926981706492404007923365680835642750113174317
Sun Nov 18 05:25:03 2018  elapsed time 1033:26:17

November 18, 2018 2018 年 11 月 18 日 (Makoto Kamada)

n=115275: c58208(1861603948......) = 256376279473351 * c58193(7261217583......)

n=115282: c57634(3285749222......) = 46578108701731 * c57620(7054277887......)

n=115334: c57658(7593685444......) = 2438827312938854891 * c57640(3113662621......)

n=115335: c55671(1381499337......) = 76119599137440529441 * c55651(1814906218......)

n=115342: c56995(9536772929......) = 63891486421144579 * c56979(1492651597......)

# P-1 B1=1e6

November 17, 2018 2018 年 11 月 17 日 (Makoto Kamada)

n=115226: c54191(2618442389......) = 61603481239900726289 * c54171(4250477954......)

n=115232: c52983(1330371289......) = 16456023859203553 * c52966(8084403017......)

n=115264: c57581(1023861527......) = 38464567953604609 * 4465455209339934913 * c57545(5960938322......)

# P-1 B1=1e6

November 16, 2018 2018 年 11 月 16 日 (Makoto Kamada)

n=115142: c57570(9090909090......) = 20959851056743 * c57557(4337296608......)

n=115156: c57546(3282242040......) = 85116469521269 * c57532(3856177375......)

n=115174: c57570(4032512343......) = 5261195065910250877 * c57551(7664631881......)

n=115184: c54897(2728066344......) = 975550472315111633 * c54879(2796437931......)

n=115185: c52608(9009100000......) = 1893468944077860031 * c52590(4757986672......)

n=115186: c57592(9090909090......) = 528289611242616611 * c57575(1720819205......)

n=115198: c57113(4133669493......) = 17629978248486404513278801 * c57088(2344682128......)

# P-1 B1=1e6

# 140640 of 200000 Φn(10) factorization were cracked. 200000 個中 140640 個の Φn(10) の素因数が見つかりました。

November 15, 2018 2018 年 11 月 15 日 (Kurt Beschorner)

n=5799: c3847(4026621217......) = 407616517564686763737328159 * c3820(9878454489......)

# ECM B1=1e6, sigma=196829594

November 15, 2018 2018 年 11 月 15 日 (Makoto Kamada)

n=115054: c57526(9090909090......) = 1409658547285367 * c57511(6449014981......)

n=115072: c53755(2172548116......) = 71941289399840888724097 * c53732(3019890433......)

n=115084: c57531(6015433137......) = 238986074853576389 * c57514(2517064285......)

n=115096: c57535(2732959133......) = 407078405987833 * c57520(6713593974......)

# P-1 B1=1e6

# 140637 of 200000 Φn(10) factorization were cracked. 200000 個中 140637 個の Φn(10) の素因数が見つかりました。

November 14, 2018 2018 年 11 月 14 日 (Makoto Kamada)

n=114976: c57463(9954752533......) = 1197595143699649 * c57448(8312285321......)

n=114986: c57492(9090909090......) = 539665519164931 * c57478(1684545105......)

n=114988: c50671(7557276187......) = 641969082110976881 * c50654(1177202516......)

n=115004: c57500(9900990099......) = 13190931413522461 * c57484(7505906738......)

n=115016: c52234(2288239465......) = 140277344782961 * c52220(1631225247......)

n=115022: c53837(3429872912......) = 22786866252809 * c53824(1505197281......)

n=115042: c56833(1099999999......) = 11903891455979 * c56819(9240675656......)

n=115046: c52800(9090909090......) = 5220275679116503 * c52785(1741461495......)

# P-1 B1=1e6

# 140636 of 200000 Φn(10) factorization were cracked. 200000 個中 140636 個の Φn(10) の素因数が見つかりました。

November 13, 2018 2018 年 11 月 13 日 (Makoto Kamada)

n=114902: c56557(1579208618......) = 4973072794787038019207 * c56535(3175518805......)

n=114915: c59616(9009099100......) = 40089768923636738306761 * c59594(2247231486......)

n=114916: c57444(1011265005......) = 7397571503014229 * c57428(1367022955......)

n=114928: c52161(1000000009......) = 448803254556977 * c52146(2228147857......)

n=114938: c56770(3775980382......) = 163705174801168859 * c56753(2306573623......)

n=114945: c59897(1023204649......) = 1631100491733738721 * c59878(6273093870......)

n=114956: c55441(1009999999......) = 2494867682388209 * c55425(4048310886......)

n=114958: c57001(1099999999......) = 6408127504490928547049 * c56979(1716570088......)

n=114962: c56206(4160163259......) = 40878189813532327 * c56190(1017697524......)

n=114964: c55993(1889324458......) = 13679068196117665801366542289 * c55965(1381179208......)

# P-1 B1=1e6

# 140632 of 200000 Φn(10) factorization were cracked. 200000 個中 140632 個の Φn(10) の素因数が見つかりました。

November 12, 2018 2018 年 11 月 12 日 (Makoto Kamada)

n=114855: c51835(4832110347......) = 278907872786401 * 274164286771462231 * c51803(6319244920......)

n=114866: c56620(1505719487......) = 642882626118477179 * c56602(2342137469......)

n=114868: c51878(1184746110......) = 1868382825935029 * c51862(6341024407......)

n=114874: c54388(8135691560......) = 16672845099091 * c54375(4879606037......)

# P-1 B1=1e6

November 11, 2018 2018 年 11 月 11 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=25537: c25537(1111111111......) = 1259296913639166167562326419639 * c25506(8823265578......)

# ECM B1=5e4, sigma=14892534724291470304

n=83257: c83257(1111111111......) = 59227921609062585437 * c83237(1875992067......)

# ECM B1=11e3, sigma=17579053699389191557

n=83299: c83282(1036212834......) = 893226768070010831 * c83264(1160078125......)

# ECM B1=11e3, sigma=11086780502315832603

n=83311: c83311(1111111111......) = 3481979901988725361079 * c83289(3191032522......)

# ECM B1=11e3, sigma=6240338475624733737

# 140628 of 200000 Φn(10) factorization were cracked. 200000 個中 140628 個の Φn(10) の素因数が見つかりました。

# 13863 of 17984 Rprime factorization were cracked. 17984 個中 13863 個の Rprime の素因数が見つかりました。

November 11, 2018 2018 年 11 月 11 日 (Makoto Kamada)

n=114764: c52933(1917114039......) = 163649015769624789821 * c52913(1171479113......)

n=114776: c57384(9999000099......) = 74821058064161 * c57371(1336388492......)

n=114782: c55375(6797208417......) = 3413069160677441 * c55360(1991523786......)

n=114784: c53734(1508319830......) = 8838238996845148126529 * c53712(1706584118......)

n=114794: c57396(9090909090......) = 703071498503849 * c57382(1293027680......)

n=114796: c52154(4887895393......) = 276363290657521 * c52140(1768648571......)

n=114807: c58792(1140684834......) = 66023356512961 * c58778(1727698946......)

n=114808: c56437(1085501840......) = 39845382387817 * c56423(2724285163......)

n=114812: c57396(5293833248......) = 1165596835509340496047801 * c57372(4541736119......)

# P-1 B1=1e6

# 140625 of 200000 Φn(10) factorization were cracked. 200000 個中 140625 個の Φn(10) の素因数が見つかりました。

November 10, 2018 2018 年 11 月 10 日 (Makoto Kamada)

n=114662: c57330(9090909090......) = 269166313636499 * c57316(3377431955......)

n=114668: c56585(1816090094......) = 1219831805707169 * c56570(1488803690......)

n=114675: c55195(4360085632......) = 57257668081351 * 3496818968562151 * c55166(2177650668......)

n=114676: c57336(9900990099......) = 109564074186881 * c57322(9036712236......)

n=114692: c56161(1009999999......) = 468704360743308161 * c56143(2154876473......)

n=114712: c52891(8718279532......) = 210587845909026897559533525102721 * c52859(4139972796......)

n=114722: c54325(1099999999......) = 62879158774359341779 * c54305(1749387271......)

n=114728: c57352(2476668508......) = 81183702306481 * c57338(3050696676......)

# P-1 B1=1e6

# 140623 of 200000 Φn(10) factorization were cracked. 200000 個中 140623 個の Φn(10) の素因数が見つかりました。

November 9, 2018 2018 年 11 月 9 日 (Makoto Kamada)

n=114572: c57269(2320445730......) = 42516032512387265941 * c57249(5457813425......)

n=114578: c56236(2830445979......) = 237987622054837 * c56222(1189324871......)

n=114598: c52071(1679810184......) = 20554905680783 * c52057(8172307917......)

n=114614: c53911(8486542904......) = 200669920051877 * c53897(4229105639......)

n=114626: c55712(3192643463......) = 204550366714979 * c55698(1560810432......)

n=114658: c57323(7928648506......) = 692642836147405117349707859 * c57297(1144695085......)

# P-1 B1=1e6

November 8, 2018 2018 年 11 月 8 日 (Makoto Kamada)

n=114512: c53752(1010379418......) = 42252104927991697 * c53735(2391311439......)

n=114514: c55359(4938360439......) = 6983262223745023343503 * c55337(7071709870......)

n=114518: c57258(9090909090......) = 594030194060579 * c57244(1530378284......)

n=114536: c56305(1000099999......) = 661178951467121 * c56290(1512601085......)

n=114538: c57268(9090909090......) = 16322411100533 * c57255(5569587136......)

# P-1 B1=1e6

# 140619 of 200000 Φn(10) factorization were cracked. 200000 個中 140619 個の Φn(10) の素因数が見つかりました。

November 7, 2018 2018 年 11 月 7 日 (Makoto Kamada)

n=114412: c57204(9900990099......) = 20981061911861 * c57191(4719012860......)

n=114424: c57199(4757227631......) = 9517762933469478713 * c57180(4998262369......)

n=114428: c57205(2537417488......) = 83466481984381 * c57191(3040043653......)

n=114446: c57222(9090909090......) = 13192550009333 * c57209(6890941542......)

n=114448: c54561(1000000009......) = 219259484589351437787329 * c54537(4560806169......)

n=114452: c50367(1984145240......) = 35421667208354389 * 10694473913305129429 * c50331(5237753257......)

n=114454: c56491(1372976575......) = 53541643005161 * c56477(2564315360......)

n=114476: c57236(9900990099......) = 3423810028811411821 * c57218(2891804748......)

n=114482: c57240(9090909090......) = 93253685151012521 * c57223(9748578918......)

n=114488: c51984(1405261227......) = 311584325579899624297 * c51963(4510051089......)

n=114494: c51480(9090909090......) = 54863195041739801 * c51464(1657014157......)

# P-1 B1=1e6

# 140616 of 200000 Φn(10) factorization were cracked. 200000 個中 140616 個の Φn(10) の素因数が見つかりました。

November 6, 2018 2018 年 11 月 6 日 (Makoto Kamada)

n=114332: c56393(6592478869......) = 133630389140609 * c56379(4933368009......)

n=114346: c57172(9090909090......) = 3447002450742418663 * 13410039318665643950371 * c57132(1966688921......)

n=114362: c56680(2111193446......) = 1290197652346489 * c56665(1636333349......)

n=114364: c57167(2091755018......) = 5888055772910997941 * c57148(3552539410......)

n=114368: c57144(1149428752......) = 139357579871887297 * c57126(8248053345......)

n=114374: c51168(9090909090......) = 2250689571978953093 * c51150(4039166131......)

n=114382: c57190(9090909090......) = 1434112354001801 * c57175(6339049423......)

n=114386: c57171(1510046819......) = 8284174718270093 * c57155(1822808994......)

n=114398: c55922(2443555494......) = 2688777611017247089 * c55903(9087979178......)

# P-1 B1=1e6

# 140610 of 200000 Φn(10) factorization were cracked. 200000 個中 140610 個の Φn(10) の素因数が見つかりました。

November 5, 2018 2018 年 11 月 5 日 (Makoto Kamada)

n=114244: c52720(2593539227......) = 88873990863061 * c52706(2918220733......)

n=114262: c57114(4838632615......) = 85596509122698881 * c57097(5652838725......)

n=114266: c51818(2073697093......) = 2169725454585053 * 161396762436917207 * c51785(5921690653......)

n=114298: c57143(7953620846......) = 4170222830504693197 * c57125(1907241212......)

n=114302: c56226(2916250327......) = 234889734218077 * c56212(1241540136......)

n=114304: c52984(1043612097......) = 8504439709600788515713 * c52962(1227137981......)

n=114308: c52481(1000000000......) = 125181224492830921 * c52463(7988418423......)

n=114314: c56161(1099999999......) = 201870045787877 * c56146(5449050133......)

n=114326: c57156(9939667213......) = 4048233947108094851 * c57138(2455309486......)

# P-1 B1=1e6

# 140607 of 200000 Φn(10) factorization were cracked. 200000 個中 140607 個の Φn(10) の素因数が見つかりました。

November 4, 2018 2018 年 11 月 4 日 (Makoto Kamada)

n=114158: c51873(2215119029......) = 106017674763199739 * c51856(2089386542......)

n=114164: c57080(9900990099......) = 152166932236940543377245396747049 * c57048(6506663408......)

n=114165: c58455(1452412149......) = 898365385085401 * c58440(1616727640......)

n=114172: c50662(1398394185......) = 98122501042409 * c50648(1425151388......)

n=114176: c56832(9999999999......) = 1212610796156508673 * c56814(8246669114......)

n=114195: c58080(9009099100......) = 419231100993550660201 * c58060(2148957717......)

n=114206: c53720(4442674393......) = 80004619770653 * c53706(5553022320......)

n=114232: c56161(1000099999......) = 442806259462742770317332633 * c56134(2258549825......)

# P-1 B1=1e6

# 140605 of 200000 Φn(10) factorization were cracked. 200000 個中 140605 個の Φn(10) の素因数が見つかりました。

November 3, 2018 2018 年 11 月 3 日 (Makoto Kamada)

n=114064: c57024(9999999900......) = 106579661315628433 * c57007(9382653103......)

n=114098: c56306(8730700689......) = 3285497362649771 * c56291(2657345213......)

n=114104: c53633(1000099999......) = 38939395761281 * 10994031165316961 * c53603(2336131338......)

n=114112: c57005(2769465219......) = 1010926924216897 * c56990(2739530576......)

n=114116: c55745(2067907248......) = 2992205349517514329 * c55726(6910980387......)

n=114118: c57058(9090909090......) = 165881225386069813 * c57041(5480372519......)

n=114134: c56537(1099999999......) = 374069762193367 * c56522(2940627955......)

n=114148: c57072(9900990099......) = 15471626198141 * c57059(6399450175......)

# P-1 B1=1e6

# 140601 of 200000 Φn(10) factorization were cracked. 200000 個中 140601 個の Φn(10) の素因数が見つかりました。

November 2, 2018 2018 年 11 月 2 日 (Makoto Kamada)

n=113985: c56822(8697514192......) = 76529821485511 * c56809(1136486930......)

n=113998: c56998(9090909090......) = 154777734141517 * c56984(5873525117......)

n=114008: c56991(9662264229......) = 5459520653218138057 * c56973(1769800838......)

n=114015: c55200(9009099100......) = 2089985579155321 * c55185(4310603474......)

n=114022: c55746(5077503474......) = 9672499911625445891 * c55727(5249422094......)

n=114026: c50400(9090909091......) = 373629962146417373 * c50383(2433131711......)

n=114056: c55732(9464932237......) = 1399821048408940537 * c55714(6761530160......)

# P-1 B1=1e6

# 140596 of 200000 Φn(10) factorization were cracked. 200000 個中 140596 個の Φn(10) の素因数が見つかりました。

November 1, 2018 2018 年 11 月 1 日 (Makoto Kamada)

n=113908: c56947(8692017398......) = 1794732683109449 * c56932(4843070770......)

n=113912: c54881(1000099999......) = 463646277541361 * c54866(2157032307......)

n=113924: c53929(1009999999......) = 56474839558289 * c53915(1788407028......)

n=113925: c50376(7103613812......) = 351368724869668945951 * c50356(2021697809......)

n=113938: c51770(2190223422......) = 553908171206413 * c51755(3954127301......)

n=113942: c54473(1099999999......) = 116345914133401 * c54458(9454564934......)

n=113948: c55908(2769893428......) = 3421392038985409 * c55892(8095808364......)

n=113956: c55081(1009999999......) = 75878241893161 * c55067(1331079865......)

n=113962: c53965(1099999999......) = 14819410331711899 * c53948(7422697498......)

n=113978: c56978(5178091129......) = 972486964800397 * c56963(5324586669......)

# P-1 B1=1e6

# 140593 of 200000 Φn(10) factorization were cracked. 200000 個中 140593 個の Φn(10) の素因数が見つかりました。

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