Primality Proof of phi(12601,13566)

OpenPFGW

Primality testing (13566^12601-1)/13565 [N-1, Brillhart-Lehmer-Selfridge]                                    
Running N-1 test using base 2                                    
Running N-1 test using base 3                                    
Running N-1 test using base 7                                    
Running N-1 test using base 11                                    
Running N-1 test using base 19                                    
Calling Brillhart-Lehmer-Selfridge with factored part 25.72%                                    
(13566^12601-1)/13565 is PRP! (179.9826s+0.0007s)                                    

CHG

   realprecision = 52017 significant digits (52000 digits displayed)

Welcome to the CHG primality prover!
------------------------------------

Input file is:  13566_12601.in
Certificate file is:  13566_12601.out
Found values of n, F and G.
    Number to be tested has 52069 digits.
    Modulus has 13393 digits.
Modulus is 25.721272250031257016% of n.

NOTICE: This program assumes that n has passed
    a BLS PRP-test with n, F, and G as given.  If
    not, then any results will be invalid!

Square test passed for F >> G.  Using modified right endpoint.

Search for factors congruent to 1.
A certificate has been saved to the file:  13566_12601.out

Running David Broadhurst's verifier on the saved certificate...

Testing a PRP called "13566_12601.in".

Pol[1, 1] with [h, u]=[5, 1] has ratio=2.4894791829900537567 E-2400 at X, ratio=5.402482312076293144 E-2400 at Y, witness=11.
Pol[2, 1] with [h, u]=[5, 1] has ratio=0.3804410695956168429 at X, ratio=4.488957896449473794 E-1174 at Y, witness=13.
Pol[3, 1] with [h, u]=[5, 1] has ratio=0.10645058005844364175 at X, ratio=1.3133465742290065482 E-587 at Y, witness=5.
Pol[4, 1] with [h, u]=[4, 1] has ratio=4.693605804185744262 E-208 at X, ratio=3.167504236330723830 E-501 at Y, witness=43.
Pol[5, 1] with [h, u]=[7, 2] has ratio=1.911584827414002637 E-155 at X, ratio=8.096199574909001480 E-1344 at Y, witness=7.
Pol[6, 1] with [h, u]=[7, 2] has ratio=4.100144169980898339 E-353 at X, ratio=1.7907217922044113801 E-1145 at Y, witness=13.
Pol[7, 1] with [h, u]=[7, 2] has ratio=5.614308419741970292 E-485 at X, ratio=3.066514048743685409 E-1013 at Y, witness=7.
Pol[8, 1] with [h, u]=[8, 2] has ratio=0.11065777263378644697 at X, ratio=2.2446863428327435821 E-771 at Y, witness=3.
Pol[9, 1] with [h, u]=[8, 2] has ratio=0.0014721629677842621839 at X, ratio=1.998735375039602495 E-441 at Y, witness=17.
Pol[10, 1] with [h, u]=[8, 2] has ratio=0.023340887909005042757 at X, ratio=7.676847518515411285 E-253 at Y, witness=11.
Pol[11, 1] with [h, u]=[8, 2] has ratio=0.012530109467742766383 at X, ratio=5.960150463077463798 E-145 at Y, witness=5.
Pol[12, 1] with [h, u]=[10, 3] has ratio=0.022995053425975649579 at X, ratio=2.375930610240378670 E-1215 at Y, witness=7.
Pol[13, 1] with [h, u]=[10, 3] has ratio=0.019148722017039090361 at X, ratio=1.3037324080759719123 E-810 at Y, witness=5.
Pol[14, 1] with [h, u]=[10, 3] has ratio=0.019716671122186578405 at X, ratio=6.662003326174531365 E-541 at Y, witness=7.
Pol[15, 1] with [h, u]=[10, 3] has ratio=0.006205818330951102057 at X, ratio=4.003188341619122430 E-361 at Y, witness=3.
Pol[16, 1] with [h, u]=[10, 3] has ratio=0.12683534880234096968 at X, ratio=3.522604260533712282 E-241 at Y, witness=7.
Pol[17, 1] with [h, u]=[10, 3] has ratio=0.08326598278024428758 at X, ratio=2.8269662432783756078 E-161 at Y, witness=2.
Pol[18, 1] with [h, u]=[10, 3] has ratio=0.06130307125489680208 at X, ratio=4.650475549384534836 E-108 at Y, witness=11.
Pol[19, 1] with [h, u]=[12, 4] has ratio=0.03424234110026820113 at X, ratio=3.524929082471335092 E-983 at Y, witness=2.
Pol[20, 1] with [h, u]=[12, 4] has ratio=0.031031128618767289271 at X, ratio=1.8987582742912869545 E-715 at Y, witness=5.
Pol[21, 1] with [h, u]=[12, 4] has ratio=0.023858290449355241323 at X, ratio=9.234453124557877973 E-521 at Y, witness=5.
Pol[22, 1] with [h, u]=[12, 4] has ratio=0.04073541554977149648 at X, ratio=3.707035657551439670 E-379 at Y, witness=7.
Pol[23, 1] with [h, u]=[12, 4] has ratio=0.07399585977173953416 at X, ratio=3.6093861739463098285 E-276 at Y, witness=2.
Pol[24, 1] with [h, u]=[14, 5] has ratio=0.011685573515190103179 at X, ratio=1.7737135894787988069 E-978 at Y, witness=2.
Pol[25, 1] with [h, u]=[14, 5] has ratio=0.03271150155533803883 at X, ratio=4.392782005274386138 E-753 at Y, witness=3.
Pol[26, 1] with [h, u]=[14, 5] has ratio=0.03767242191760857304 at X, ratio=1.2679715572739505269 E-579 at Y, witness=13.
Pol[27, 1] with [h, u]=[14, 5] has ratio=0.05504155054411070800 at X, ratio=2.2960530024725714356 E-446 at Y, witness=3.
Pol[28, 1] with [h, u]=[14, 5] has ratio=0.014330909441718775158 at X, ratio=1.0912139738256026160 E-343 at Y, witness=5.
Pol[29, 1] with [h, u]=[14, 5] has ratio=0.04657623850282941785 at X, ratio=8.104078638918966393 E-265 at Y, witness=2.
Pol[30, 1] with [h, u]=[14, 5] has ratio=0.028269103908787218200 at X, ratio=4.907538990462330744 E-204 at Y, witness=2.
Pol[31, 1] with [h, u]=[16, 6] has ratio=2.2504166999741743671 E-186 at X, ratio=1.0172255007587273705 E-880 at Y, witness=17.
Pol[32, 1] with [h, u]=[16, 6] has ratio=0.014670388800264431454 at X, ratio=4.203247949603170986 E-669 at Y, witness=2.
Pol[33, 1] with [h, u]=[16, 6] has ratio=0.03231558913652386050 at X, ratio=1.2481681716284786315 E-535 at Y, witness=11.
Pol[34, 1] with [h, u]=[16, 6] has ratio=0.010552877811400354839 at X, ratio=6.568984258606150838 E-429 at Y, witness=2.
Pol[35, 1] with [h, u]=[16, 6] has ratio=0.0016438952549544332607 at X, ratio=1.9067753193678772465 E-343 at Y, witness=11.
Pol[36, 1] with [h, u]=[18, 7] has ratio=0.010462033903590719510 at X, ratio=3.204867560435950163 E-890 at Y, witness=3.
Pol[37, 1] with [h, u]=[18, 7] has ratio=3.0318507131478152702 E-33 at X, ratio=1.9710313676739811016 E-763 at Y, witness=17.
Pol[38, 1] with [h, u]=[18, 7] has ratio=1.7802982155352383894 E-109 at X, ratio=2.1253583324155471537 E-625 at Y, witness=3.
Pol[39, 1] with [h, u]=[19, 7] has ratio=0.002616935852812683237 at X, ratio=2.2376295088216895771 E-636 at Y, witness=5.
Pol[40, 1] with [h, u]=[18, 7] has ratio=8.313455257875158781 E-5 at X, ratio=4.152237829229884588 E-386 at Y, witness=3.
Pol[41, 1] with [h, u]=[18, 7] has ratio=0.003977255223120865157 at X, ratio=1.9629744689107992352 E-318 at Y, witness=2.
Pol[42, 1] with [h, u]=[20, 8] has ratio=0.007453845408780560258 at X, ratio=2.8238289559965147868 E-828 at Y, witness=2.
Pol[43, 1] with [h, u]=[20, 8] has ratio=1.1064156595479063887 E-14 at X, ratio=6.345201546146973617 E-710 at Y, witness=13.
Pol[44, 1] with [h, u]=[20, 8] has ratio=3.2325201096424192226 E-102 at X, ratio=3.752295072662561159 E-614 at Y, witness=11.
Pol[45, 1] with [h, u]=[20, 8] has ratio=0.003190238799297235426 at X, ratio=2.0465803069151954539 E-495 at Y, witness=3.
Pol[46, 1] with [h, u]=[20, 8] has ratio=0.008901675711644130404 at X, ratio=1.5268056515364313700 E-417 at Y, witness=7.
Pol[47, 1] with [h, u]=[20, 8] has ratio=0.010086997557998146176 at X, ratio=6.776136102956434664 E-352 at Y, witness=13.
Pol[48, 1] with [h, u]=[22, 9] has ratio=0.004915562257052861389 at X, ratio=1.0427240916037025260 E-826 at Y, witness=11.
Pol[49, 1] with [h, u]=[22, 9] has ratio=5.036967119425784760 E-10 at X, ratio=1.5646048755597945862 E-715 at Y, witness=2.
Pol[50, 1] with [h, u]=[22, 9] has ratio=9.505511159060353295 E-85 at X, ratio=2.698418295007673213 E-622 at Y, witness=3.
Pol[51, 1] with [h, u]=[22, 9] has ratio=0.007113451282065562752 at X, ratio=1.9828289707826591356 E-521 at Y, witness=3.
Pol[52, 1] with [h, u]=[22, 9] has ratio=0.002537520123670261399 at X, ratio=2.617271931797789995 E-447 at Y, witness=3.
Pol[53, 1] with [h, u]=[22, 9] has ratio=0.009338895789247769705 at X, ratio=1.0885619826299234628 E-383 at Y, witness=2.
Pol[54, 1] with [h, u]=[22, 9] has ratio=0.00015997405934578937569 at X, ratio=3.402489804643558832 E-329 at Y, witness=7.
Pol[55, 1] with [h, u]=[24, 10] has ratio=0.0009815872111829666472 at X, ratio=4.946221884349617914 E-785 at Y, witness=31.
Pol[56, 1] with [h, u]=[24, 10] has ratio=0.009716518158840976687 at X, ratio=1.5197025477506282044 E-682 at Y, witness=2.
Pol[57, 1] with [h, u]=[24, 10] has ratio=0.009142246308033568083 at X, ratio=8.245014465108328910 E-594 at Y, witness=7.
Pol[58, 1] with [h, u]=[24, 10] has ratio=0.010592684931067421187 at X, ratio=1.0743826670320327515 E-516 at Y, witness=13.
Pol[59, 1] with [h, u]=[24, 10] has ratio=0.004730176577521410686 at X, ratio=1.6031307320610722140 E-449 at Y, witness=3.
Pol[60, 1] with [h, u]=[24, 10] has ratio=0.0015043529334895973041 at X, ratio=3.1229928924625594874 E-391 at Y, witness=2.
Pol[61, 1] with [h, u]=[24, 10] has ratio=0.002297558681033530775 at X, ratio=1.6329719755319843940 E-340 at Y, witness=3.
Pol[62, 1] with [h, u]=[24, 10] has ratio=0.0010989558723114554409 at X, ratio=2.1438068751541037306 E-296 at Y, witness=11.
Pol[63, 1] with [h, u]=[26, 11] has ratio=0.004518256724622460301 at X, ratio=1.9116131697726251990 E-738 at Y, witness=2.
Pol[64, 1] with [h, u]=[26, 11] has ratio=0.00019777603211514887108 at X, ratio=4.154062416491983568 E-650 at Y, witness=7.
Pol[65, 1] with [h, u]=[26, 11] has ratio=0.003680232684081625398 at X, ratio=2.2059118446875667999 E-572 at Y, witness=5.
Pol[66, 1] with [h, u]=[26, 11] has ratio=0.003019498694631372768 at X, ratio=4.500046341488878856 E-504 at Y, witness=2.
Pol[67, 1] with [h, u]=[26, 11] has ratio=0.004572179747958840324 at X, ratio=8.749614093677177290 E-444 at Y, witness=17.
Pol[68, 1] with [h, u]=[26, 11] has ratio=0.002478307247185306420 at X, ratio=7.377049657675702352 E-391 at Y, witness=2.
Pol[69, 1] with [h, u]=[26, 11] has ratio=0.006304183106722960154 at X, ratio=3.489308847519294560 E-344 at Y, witness=2.
Pol[70, 1] with [h, u]=[26, 11] has ratio=0.005177943816287528957 at X, ratio=3.130446213039381949 E-303 at Y, witness=13.
Pol[71, 1] with [h, u]=[28, 12] has ratio=0.002982075555725458678 at X, ratio=8.000319130066700787 E-731 at Y, witness=7.
Pol[72, 1] with [h, u]=[28, 12] has ratio=3.888670376327687207 E-5 at X, ratio=6.617578558523181330 E-650 at Y, witness=2.
Pol[73, 1] with [h, u]=[28, 12] has ratio=0.003042428289370934380 at X, ratio=5.780414037128995380 E-578 at Y, witness=17.
Pol[74, 1] with [h, u]=[28, 12] has ratio=0.006345441739953543952 at X, ratio=5.760843584327618358 E-514 at Y, witness=5.
Pol[75, 1] with [h, u]=[28, 12] has ratio=0.003092301327273621756 at X, ratio=4.126588714519920773 E-457 at Y, witness=7.
Pol[76, 1] with [h, u]=[28, 12] has ratio=2.7420757496255119427 E-5 at X, ratio=1.2314433332493622954 E-406 at Y, witness=11.
Pol[77, 1] with [h, u]=[28, 12] has ratio=0.004049786628087093032 at X, ratio=7.975129935461492936 E-362 at Y, witness=2.
Pol[78, 1] with [h, u]=[28, 12] has ratio=0.002877981026072159816 at X, ratio=5.660185580537025399 E-322 at Y, witness=5.
Pol[79, 1] with [h, u]=[30, 13] has ratio=0.00020367400175697518305 at X, ratio=9.995042451071274898 E-737 at Y, witness=29.
Pol[80, 1] with [h, u]=[30, 13] has ratio=0.0003659630545052296965 at X, ratio=1.0059896067860141802 E-660 at Y, witness=13.
Pol[81, 1] with [h, u]=[30, 13] has ratio=0.0004596892425660513618 at X, ratio=1.1245596825180067541 E-592 at Y, witness=17.
Pol[82, 1] with [h, u]=[30, 13] has ratio=4.444933689920630107 E-5 at X, ratio=1.2956466703795164909 E-531 at Y, witness=13.
Pol[83, 1] with [h, u]=[30, 13] has ratio=0.0013546875610870912652 at X, ratio=5.377692960178461181 E-477 at Y, witness=7.
Pol[84, 1] with [h, u]=[30, 13] has ratio=0.004343247759047161375 at X, ratio=7.923657737362995518 E-428 at Y, witness=19.
Pol[85, 1] with [h, u]=[30, 13] has ratio=0.0018974682151887922359 at X, ratio=7.159450027251576467 E-384 at Y, witness=2.
Pol[86, 1] with [h, u]=[32, 14] has ratio=0.0011193495829594107487 at X, ratio=3.307362066644177563 E-784 at Y, witness=13.
Pol[87, 1] with [h, u]=[32, 14] has ratio=0.0012719656620735240392 at X, ratio=1.2600765280488859947 E-708 at Y, witness=2.
Pol[88, 1] with [h, u]=[32, 14] has ratio=0.0017007722382381538510 at X, ratio=2.589007526033745093 E-640 at Y, witness=3.
Pol[89, 1] with [h, u]=[32, 14] has ratio=0.0011239621966095606237 at X, ratio=1.6133270381362954260 E-578 at Y, witness=3.
Pol[90, 1] with [h, u]=[32, 14] has ratio=0.002962866428811280526 at X, ratio=7.963131421471568590 E-523 at Y, witness=3.
Pol[91, 1] with [h, u]=[32, 14] has ratio=0.0004737786774039029106 at X, ratio=1.4936327075776348424 E-472 at Y, witness=5.
Pol[92, 1] with [h, u]=[32, 14] has ratio=0.002999036559238846369 at X, ratio=4.239565378023968252 E-427 at Y, witness=3.
Pol[93, 1] with [h, u]=[33, 15] has ratio=0.0015716103504248889407 at X, ratio=1.6233705163125651485 E-690 at Y, witness=5.
Pol[94, 1] with [h, u]=[33, 15] has ratio=0.0009720528516306483213 at X, ratio=1.4624563300183349056 E-647 at Y, witness=2.
Pol[95, 1] with [h, u]=[33, 15] has ratio=0.0016071209110128027101 at X, ratio=3.266811306723826274 E-607 at Y, witness=19.
Pol[96, 1] with [h, u]=[33, 15] has ratio=6.790715242216404532 E-5 at X, ratio=1.6534396089976351095 E-569 at Y, witness=23.
Pol[97, 1] with [h, u]=[33, 15] has ratio=2.305836918203147871 E-47 at X, ratio=3.017550599053303957 E-542 at Y, witness=17.
Pol[98, 1] with [h, u]=[33, 15] has ratio=0.0003132912833194951055 at X, ratio=7.041709812062469138 E-501 at Y, witness=3.
Pol[99, 1] with [h, u]=[33, 15] has ratio=0.00010381855732628312376 at X, ratio=1.0281115815014236307 E-469 at Y, witness=2.
Pol[100, 1] with [h, u]=[33, 15] has ratio=5.709542476166890076 E-5 at X, ratio=1.3885400042279570833 E-440 at Y, witness=5.
Pol[101, 1] with [h, u]=[33, 15] has ratio=0.0008024360112677042579 at X, ratio=2.871830130321318198 E-413 at Y, witness=3.
Pol[102, 1] with [h, u]=[35, 16] has ratio=0.0006431084005783992378 at X, ratio=2.655334299517379657 E-774 at Y, witness=19.
Pol[103, 1] with [h, u]=[35, 16] has ratio=0.0013724417078822095663 at X, ratio=6.299633514531524022 E-729 at Y, witness=7.
Pol[104, 1] with [h, u]=[35, 16] has ratio=0.00016409370859688819036 at X, ratio=3.591161600848736701 E-686 at Y, witness=2.
Pol[105, 1] with [h, u]=[35, 16] has ratio=0.0003371099110431692959 at X, ratio=4.574200053245226831 E-646 at Y, witness=3.
Pol[106, 1] with [h, u]=[35, 16] has ratio=0.0013780939953631661623 at X, ratio=3.1053850964424753451 E-608 at Y, witness=17.
Pol[107, 1] with [h, u]=[35, 16] has ratio=0.0012634442562915597624 at X, ratio=1.2071779535211586499 E-572 at Y, witness=7.
Pol[108, 1] with [h, u]=[35, 16] has ratio=0.0009509160120657143096 at X, ratio=3.664197844212431716 E-539 at Y, witness=5.
Pol[109, 1] with [h, u]=[35, 16] has ratio=0.0012416213893022336129 at X, ratio=1.2617493645136516844 E-507 at Y, witness=2.
Pol[110, 1] with [h, u]=[37, 17] has ratio=0.0005014903003969991146 at X, ratio=1.0707641560487497538 E-862 at Y, witness=2.
Pol[111, 1] with [h, u]=[37, 17] has ratio=0.00014115728264053220464 at X, ratio=5.321173990387323509 E-815 at Y, witness=7.
Pol[112, 1] with [h, u]=[37, 17] has ratio=0.0006110234674935873028 at X, ratio=7.943581420317548193 E-770 at Y, witness=3.
Pol[113, 1] with [h, u]=[37, 17] has ratio=0.0002593523888733372489 at X, ratio=2.485139994748119728 E-727 at Y, witness=5.
Pol[114, 1] with [h, u]=[37, 17] has ratio=0.0002718043882476924415 at X, ratio=4.429909256595173274 E-687 at Y, witness=2.
Pol[115, 1] with [h, u]=[37, 17] has ratio=0.0004584158201135520740 at X, ratio=4.803298759557953939 E-649 at Y, witness=11.
Pol[116, 1] with [h, u]=[37, 17] has ratio=0.0003735121701887297607 at X, ratio=3.992442021987881573 E-613 at Y, witness=3.
Pol[117, 1] with [h, u]=[38, 18] has ratio=0.0009539172778557520721 at X, ratio=5.405378021477799614 E-860 at Y, witness=3.
Pol[118, 1] with [h, u]=[38, 18] has ratio=6.856980085540758813 E-6 at X, ratio=8.058452881822857081 E-837 at Y, witness=11.
Pol[119, 1] with [h, u]=[38, 18] has ratio=0.00013539517596066697092 at X, ratio=2.632019495411102543 E-814 at Y, witness=2.

Validated in 256 sec.


Congratulations! n is prime!
Goodbye!

Helper File

2
3
7
17
19
13567
691
266353
677
271841
5
11
71
19031
455781421
184022791
29
43
1163
4298299989968913727
97001
349165269737
2161
709201
44517241
131
258525831118901
13
2617
995543345161
65110087519
95726148362209
31
2521
14677360038479981736039703261
6233197335864379495400521
41
61
101
5381
843949464426373523741681
35491
1764220459
620466942214999629357731426563036939
548343201073
2092001727525991198657
5
151
956454019751
61719898930564133021075676730099719908465732756489538361117393891501
58038317
669432726947326748517571781553818689130273
52291
21939138350317393981839483421
33258115661
3299619816543997843147035954401
13754662811995848788551338823930810270114912665638550854671
37
73
2341
24517
609761953
411024874475569048954354903501
1315918533681183924541827091329537031718496141601532374312545915121
1079146420195748941
36005876756302480167240512879251
25111
1366831
196382721511
223955330105730565745130323181512031305762513666124648117334586294231666663431
751
63676651
5997213436801
155405576263562135846345521080327655933216105899536972354701
4481
52081
1762215738809
899552272112006733341692817
4080409655300634058269487685960966676304903654856057
33961
1485721
43698001
309347320651949884921
1929315907649631158440213021
127
45613
407233
24861649334108337050248991056708145394494291522449798443938957565997902638108033544930381931611640933374257220171593765609381199495785587
608394745358012905111
2481361635723951521489001472711895411343482239367528933207454103775323503801721
1009
828721
55883449
194217797272517209
30317887025750876566298958223343569
5486215194845581163950566417601
19801
50551
251701
181193236202023651
236536268063612200501
183963206562078055815075696929736127925674677288245675152098448146274279954277539367474260118714417085439709939101
757
1093
7561996690367029618424469447829
241263144256077880683719529245213720748391446359579093766299689
181
631
991
13337115644342695189447192706785564976265868162411435628748342108145276741716687168793198381
112623169674269201
17637814192550226849124143283086568482153350881011490916618308948156239607977219579732749149864983090211315824415549568456577765677367173636302543601
211
27525300088379146201
286608672876831540571771
31934185299598552740753177278701
42870577982478704254418320885164246517443421354557005284422602624302188470963690661686157003567140986809330688094653309831
134316419658893513521
12892255404687448400579248070466495822021565865221550022210673535200386763679990967447748080426863153146134647521
11467
11170840717
6009009866526765425125177
76195034371350912941596907055855229037742409903591631850236012300575319763329167920086320151171824271268061807
281
1587283558961833345453511844123888696876667588571534960681413931611344711835255428362682124866941
5108885572574385790183048153367693626222590868328051574888638898477473789391948764766312160152401041
1051
64828350901
29154447723681393143994877935322264050913029321228754452959406239670863215570246719985355277410209879095646246224189651992847642161068031777374877233351
337
169681
774294850802257
183712745043330721
46668274790872756007918693178481
6002836175719417412742895312790414078838738158397752951743144767938316961292908562118528505583574020148833411502289237403595409
701
12601
145832051
89527299384251
2863713787581851
465552771805359615906905251
14264365415383441
1260740059349481284021253469020451177066555254961
126709449086241454146633268161502148430235617200602067052368022829730563896627014518343932968654258100884576990130811239076473051349761
102001
1105201
20254416661601
744407053126877744021592401
12986923828112303843170299440401
421
11971
26412121
12251058385220538451
471870038584429482402083957362771
466232976211345055397718948241627791
2170471231347123500129584716738083281
2926079761299733192811473079561144034621952554080651022877111
30440701
462752672982461285797504668602678095610975251
Phi(225,13566)/(30440701*462752672982461285797504668602678095610975251)
6008278045743230083221379875988081256497
62297560681086383732211086245324361588206403807010277
Phi(252,13566)/(6008278045743230083221379875988081256497*62297560681086383732211086245324361588206403807010277)
5675881
1125059041
Phi(280,13566)/(5675881*1125059041)
376801
Phi(300,13566)/376801
125371
Phi(315,13566)/125371
39551
17855782620543001
8772078906670801
Phi(350,13566)/(39551*17855782620543001*8772078906670801)
32109267210184737558405964993796675464321
10014251296896001
83297050201
11863666130561045148400060681
4958936775660420652053693882412081
9901
329592398836519801
584425297
15318900652609
11551
461682901
601
1801
53801731464001
81087301
341970963162274410519681964527085117387891
1562190553065992167196055944743411
1927660911059000283853348732348107990133472404304784001
Phi(630,13566)/(81087301*341970963162274410519681964527085117387891*1562190553065992167196055944743411*1927660911059000283853348732348107990133472404304784001)
151201
70679701
1118408783801
4201
28645287832274017065744273041401
17423101
7809607801
37577407501
744357761498002830301
36582841
7388274991434121
2801
149909992096201
3307063581063916741984196173601
678282027377507046945990445395857201
28441801
237657601
2247619702818765330001
197681592790162828260363601
6301
33601
183241801
55048236601
1897561
297252400425641641
422018051630346361
764789192762293790281
18380251
21001
176401
185909428580401
342408294901
591255554401
Phi(6300,13566)/(176401*342408294901*591255554401*185909428580401)
265816370352957795001
12904557696744399001
102320347790871650496621601

Prime Factor Certification