N=(13566^12601-1)/13565

Portion of N-1 factored: 25.721%

Factorization of N-1:
13566 = 2 * 3 * 7 * 17 * 19
phi_2 = 13567
phi_3 = 691 * 266353
phi_4 = 677 * 271841
phi_5 = 5 * 11 * 71 * 19031 * 455781421
phi_6 = 184022791
phi_7 = 29 * 43 * 1163 * 4298299989968913727
phi_8 = 97001 * 349165269737
phi_9 = 2161 * 709201 * 44517241
phi_10 = 131 * 258525831118901
phi_12 = 13 * 2617 * 995543345161
phi_14 = 65110087519 * 95726148362209
phi_15 = 31 * 2521 * 14677360038479981736039703261
phi_18 = 6233197335864379495400521
phi_20 = 41 * 61 * 101 * 5381 * 843949464426373523741681
phi_21 = 35491 * 1764220459 * p36
phi_24 = 548343201073 * 2092001727525991198657
phi_25 = 5 * 151 * 956454019751 * p68
phi_28 = 58038317 * p42
phi_30 = 52291 * 21939138350317393981839483421
phi_35 = 33258115661 * 3299619816543997843147035954401 * p59
phi_36 = 37 * 73 * 2341 * 24517 * 609761953 * p30
phi_40 = p67
phi_42 = 1079146420195748941 * p32
phi_45 = 25111 * 1366831 * 196382721511 * p78
phi_50 = 751 * 63676651 * 5997213436801 * p60
phi_56 = 4481 * 52081 * 1762215738809 * 899552272112006733341692817 * p52
phi_60 = 33961 * 1485721 * 43698001 * 309347320651949884921 * 1929315907649631158440213021
phi_63 = 127 * 45613 * 407233 * p137
phi_70 = 608394745358012905111 * p79
phi_72 = 1009 * 828721 * 55883449 * 194217797272517209 * 5486215194845581163950566417601 * 30317887025750876566298958223343569
phi_75 = 19801 * 50551 * 251701 * 181193236202023651 * 236536268063612200501 * p114
phi_84 = 757 * 1093 * 7561996690367029618424469447829 * p63
phi_90 = 181 * 631 * 991 * p92
phi_100 = 112623169674269201 * p149
phi_105 = 211 * 27525300088379146201 * 286608672876831540571771 * 31934185299598552740753177278701 * p122
phi_120 = 134316419658893513521 * p113
phi_126 = 11467 * 11170840717 * 6009009866526765425125177 * p110
phi_140 = 281 * 1587283558961833345453511844123888696876667588571534960681413931611344711835255428362682124866941 * p100
phi_150 = 1051 * 64828350901 * p152
phi_168 = 337 * 169681 * 774294850802257 * 183712745043330721 * 46668274790872756007918693178481 * p127
phi_175 = 701 * 12601 * 145832051 * 89527299384251 * 2863713787581851 * 465552771805359615906905251 * c425
phi_180 = 14264365415383441 * 1260740059349481284021253469020451177066555254961 * p135
phi_200 = 102001 * 1105201 * 20254416661601 * 744407053126877744021592401 * 12986923828112303843170299440401 * c249
phi_210 = 421 * 11971 * 26412121 * 12251058385220538451 * 471870038584429482402083957362771 * 466232976211345055397718948241627791 * 2170471231347123500129584716738083281 * p61
phi_225 = 30440701 * 462752672982461285797504668602678095610975251 * p444
phi_252 = 6008278045743230083221379875988081256497 * 62297560681086383732211086245324361588206403807010277 * p205
phi_280 = 5675881 * 1125059041 * p381
phi_300 = 376801 * p326
phi_315 = 125371 * p591
phi_350 = 39551 * 17855782620543001 * 8772078906670801 * p460
phi_360 = 32109267210184737558405964993796675464321 * c357
phi_420 = 83297050201 * 10014251296896001 * 11863666130561045148400060681 * 4958936775660420652053693882412081 * c309
phi_450 = 9901 * 329592398836519801 * c475
phi_504 = 584425297 * 15318900652609 * c574
phi_525 = 11551 * 461682901 * c980
phi_600 = 601 * 1801 * 53801731464001 * c642
phi_630 = 81087301 * 1562190553065992167196055944743411 * 341970963162274410519681964527085117387891 * 1927660911059000283853348732348107990133472404304784001 * p459
phi_700 = 151201 * 70679701 * 1118408783801 * c967
phi_840 = 4201 * 28645287832274017065744273041401 * c759
phi_900 = 17423101 * 7809607801 * 37577407501 * 744357761498002830301 * c944
phi_1050 = c992
phi_1260 = 36582841 * 7388274991434121 * c1167
phi_1400 = 2801 * 149909992096201 * 3307063581063916741984196173601 * 678282027377507046945990445395857201 * c1900
phi_1575 = c2976
phi_1800 = 28441801 * 237657601 * 2247619702818765330001 * 197681592790162828260363601 * c1921
phi_2100 = 6301 * 33601 * 183241801 * 55048236601 * c1957
phi_2520 = 1897561 * 297252400425641641 * 422018051630346361 * 764789192762293790281 * c2319
phi_3150 = 18380251 * c2969
phi_4200 = 21001 * c3964
phi_6300 = 176401 * 342408294901 * 591255554401 * 185909428580401 * p5908
phi_12600 = 12904557696744399001 * 265816370352957795001 * 102320347790871650496621601 * c11836