is 2 20173 - 1
has 6073 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
-unknown- L-L tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26379.116576.1905%500000000100000000000.472216.7068%79.588692.8973%30.3973%
PrimeNet2400.000062.5000%500100000.00003.7047%0.000066.2047%3.7047%
GPU722440.000165.9091%500100000.00001.5634%0.000167.4725%1.5634%
Difference+19+79.1164+10.2814%+499999500+9999990000+0.4722+15.1434%+79.5885+25.4248%+25.4248%

Known prime factors (6 factors, 419.0 bits, 2.07698098% known):
Remaining cofactor is not a probable-prime

GHz-days
exponentfactordigitsbits*kmin B1min B2date foundmin. TFmin. P-1normal P-1
20173121039616.8853
3
13-4.331e-135.146e-109.443e-10
201735259477124731238.93613035932
22 × 7 × 13 × 59 × 607
596072008-08-262.959e-64.123e-85.571e-8
2017337333304064471341.76492532851
107 × 864793
1078647932008-08-262.550e-52.191e-54.083e-5
201734136360620949020524705598745255332105.0281025221985066430507288355412
22 × 11 × 19 × 357853729 × 3426936728665573
35785372934269367286655732017-10-109.485e+1286,633161,806
2017324225928477598111508084280396020733107.5786004542823972168618471293411
3 × 449773 × 628373 × 49835969 × 142103537
498359691421035372016-09-067.308e+120.02550.0471
2017356429443467557206130608096698083933108.79813986378691210332159472586303
13986378691210332159472586303
1139863786912103321594725863032017-10-107.620e+123.536e+176.604e+17

57 Composite Factors:
exponentprime factorscomposite factordigitsbits*
20173636601851700194471755.821
201734518785790659384331858.649
2017319635365871766949815134312580.700
201732376645049752799838674041748093097.585
20173500660953199048495289840966526956256737121.913
201732932282156999997818827013214853949507338124.463
201736830163407869656672842673416239377172138125.683
201732175509406551535187318835841842844097379356944143.964
2017312741571665327234173101703520777405696956191145146.514
2017315442400878218972098365698168640462361780919145146.792
2017329678936707886185553660260126809611727230484745147.734
2017390443395409827309570795914657207474052425452945149.342
20173210669757116313353421806885813126645033106903346150.562
20173263321483059591267537884571460816006702699979819149160.849
201731542227092799543097078057092451376408153880414552950163.399
201731869132759898746163814085740634072923807600666944950163.677
201733592308820185836013229484225488908593852250637603350164.619
2017310947178137010087723139566714193735451831524393563
1
51166.227
2017325499256731601451984822083651935035988162226468528
7
51167.447
2017381218954169903146255248516936060165635677293430244
739343
56185.728
2017347568496924089701812724130759892002920031670230116
0040217
57188.278
2017311080127684256752122326291866777387551100764314269
98148609
58189.498
2017398306609937709069195890252414237863883767439195033
93005337377
61202.613
2017357576432991948934177103160630465681414377133329830
110107825463
62205.163
2017313411275747747530201342520412628682117976854118349
2428909484751
63206.383
2017310020717656066428398369909585238846983723361569852
102569912558471
65212.606
2017323341252782127257508429596910331523156180698641611
449083172631967
65213.826
2017313670556614757068451587949566025987019834407944169
4559113487473673
66216.376
2017312128976443726244269102954862877248000628919610533
28642959646164771369
70229.491
2017328252018954959011215628099804296172313009555828820
08185578132200653713
70230.711
2017316546705020935808083117538275222194428937369031543
267740537410325906247
71233.262
2017352703735285459403874538991084322077784253778819135
91547574874683457308508783
76251.543
2017312276278507013878145339560009558333104055067561990
520095781358900402364424391
77252.762
2017337410649919813108287717957784114385801317577442985
090069009185149788082862537
77254.370
2017371899979797641188667201582186238609503538973374922
240344509011579654161223329
77255.313
2017387140608736081323811222899561932360758180679919863
691992729527609626855091249
77255.590
2017351036704682927730760533040695899135383322736460841
7605213584658087264301969831
78258.140
2017363792074152167207855703249418552599729282931344893
9207326915256810989164594585537
81268.428
2017314859084742104527968337550039969310805817213226357
70561873279899945801787563862249
82269.648
2017345281476556442588140370938922314211430056782561214
72316862802761345199761598615943
82271.255
2017387027016547266918350894123062401350556988537983272
13049059026252589760020310518831
82272.198
2017310547412140806547352786608540076731013809431316820
381415107989292341624913389687711
83272.475
2017361774316981168896035241587127909354476620006984838
258517447073430224383846126374409
83275.025
2017319676045747453925183605097817958145190374370925544
032702441250639156764042267508859324001
89293.306
2017345831403828246692036610270109312558932317720525076
113757544341993685140168351465230448777
89294.526
2017326842638080145886769879189304143166286797127235470
3558862385649505324499235585722308402063
90297.076
2017323815689012260756502983774347878359356977234824569
24174270786536112895562912017004823717757039
94310.191
2017355473872879671513574192704837610828206088045746346
87733099409610573655680837093000028289519303
94311.411
2017332490060705827779887394071941841847041876374834540
964061144296630474972062976060242486677303457
95313.961
2017356546352047735287621347117880399976217776788787059
77886172251232959920400578563595905626924137169
97321.405
2017368443139055058314784002338011257327214234847379969
28573644031169862358053656287590848211772706387985
91
102338.290
2017329740424508199313824688230051887843894023304540269
76699582819514023923955576461348986717629538903144
824208937
109360.341
2017321110621547346673208126828343010566434804175266911
63563519204459659925651195273588345779202974336357
7549928543
110363.168
2017335997512420479367460264386772504527370886867582497
12327408048911579417316590193052200033151617592977
46377425525543
114377.226
2017325552085214692939784384631758096559507022625701317
17465648009885927777408950247198597847689488106984
063065800916177
115380.053
2017311103083111710206436520981600267148414453251073341
53896975612619162917903755409042019856843949089365
0865130455135459816839
122402.104
2017313439060767582916768700630919147353769370070566661
86535360311758108604201526509550370414525347538276
607064525159140920770375721
127418.989
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-06T18:27:58kkmrkkblmbrbkManual testing5000000050000000001233107.5780.1481.29107e-50.29714.574%
2016-11-13T00:50:20kkmrkkblmbrbkManual testing5000000001000000000012---0.472--16.707%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:58:00ANONYMOUSManual testing??38.936121.14415e-61.70134e-53.01545e-6


ECM factoring results:
ECM Summary

B1B2factorcurvesGHz-days
5000050000001570.052
250000250000004490.749
10000001000000001,0266.850
10000001000000002961.976
1000000100000000990.661
300000030000000050010.02


Lucas-Lehmer results:
Exponent "20173" not found


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:24:35Oliver KruseOliver-PC
121039
525947712473
3733330406447
242259284775981115080842803960207
FBD872B450B7F4B5no
2017-09-21T20:26:55Oliver KruseManual testing
121039
525947712473
3733330406447
242259284775981115080842803960207
FBD872B450B7F4B5no
2017-10-02T10:23:52kkmrkkblmbrbkManual testing
121039
525947712473
3733330406447
242259284775981115080842803960207
FBD872B450B7F4__no
2017-10-10T11:40:03Oliver KruseGTX-1CFF7105609C863__?
2017-10-10T16:14:04alpertronManual testing
121039
525947712473
3733330406447
41363606209490205247055987452553
242259284775981115080842803960207
564294434675572061306080966980839
73AE80B78A44D5__no
2017-10-10T22:31:00Chang Chia-Tchehomura73AE80B78A44D5__?
2017-10-11T01:00:43George Woltman73AE80B78A44D5__no
2020-04-17T13:48:58Oliver KruseManual testing
121039
525947712473
3733330406447
41363606209490205247055987452553
242259284775981115080842803960207
564294434675572061306080966980839
B9177145D29E26__no


P-1 factor-bounds graph:
B1 = 500000000, B2 = 10000000000 (stage 2)
B1 = 500000000 (stage 1)
B1 = 50000000, B2 = 5000000000 (stage 2)
B1 = 50000000 (stage 1)
100
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104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
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1029
TF factor-bounds graph:
263
2
210
220
230
240
250
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2110
Last modified: 2020-04-17T13:48:58+00:00