is 2 31151 - 1
has 9378 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267953.867277.6119%300000000092028777950109040,049.355231.9918%41,003.222484.7743%7.1623%
PrimeNet2400.000062.5000%500100000.00004.1430%0.000064.0536%1.5536%
GPU722440.000165.9091%500100000.00001.7781%0.000166.5153%0.6062%
Difference+23+953.8671+11.7028%+2999999500+920287779491090+40,049.3552+30.2136%+41,003.2223+18.2590%+6.5561%

Known prime factors (5 factors, 258.4 bits, 0.82960690% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3115162303515.9271
1
-111.402e-137.987e-101.626e-9
311511308343720.31921
3 × 7
2008-08-26374.505e-122.570e-94.877e-9
3115145667367825.445733
733
2008-08-2617331.663e-103.265e-85.984e-8
3115110603227844631339.94817019081
32 × 59 × 32051
2008-08-2659320514.194e-61.439e-62.605e-6
3115115818359326040341149211397907076595649003897500148156.7922538980983923524308884369347224261765112500
22 × 55 × 191 × 857 × 10789 × 2387767 × 84656639 × 568985350414651
2022-10-21846566395689853504146515.477e+1224,76046,245

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
31151815136939291136.246
3115128452139662011341.372
31151597485799428811445.764
31151660612904403982891755.875
3115113872658927926748091960.267
3115137225157761813149431961.691
31151484221497365337189212065.392
31151864308269186620186251272376.194
3115130168451950352602899350632581.319
31151633527806527457354142579032685.712
31151394706829300801755351451013060931101.639
3115198553124109029137461931772380459313871988982594873
03
52172.719
3115120695839695709598060182687971938314381204706266973
3343
54177.112
3115172238282068015691606623866880549879061366417156744
92367
55182.237
3115112894129005617950879435620087156728008921968145512
396468929
59193.039
3115116772566806223358591598266785448106430770563209645
4768209463
60196.740
3115145006616876835816341674867782588991151603118881166
7897941201
60198.164
3115194512450675713854003685089866099270420785322322107
12366917881
61202.556
3115110449812297281339103323468155337733749562983996505
421423754173289
65212.667
3115121944270372954687649807451160873531911953650981397
1920803473449809
66217.059
3115158884092144490002459915921539275828450261879366342
4012596084739943
66218.483
3115176595896387182000077512116585496893582905940289157
79298721479693921
67222.185
3115113671938770461959046459536296759036587104483170939
892581818806343450127
71232.986
3115147721541326106001508292373996262129608957887978353
9797648244349370360063
72238.112
3115110021370486689485952741243514981876224093990663573
757435027156907183682903
74242.504
3115162436144543221504331363769471391583438972790031263
5809474496956788264995905609
78258.431
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-09T01:59:40kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 62303
skipped known factor: 1308343
skipped known factor: 45667367
skipped known factor: 1060322784463
--0.369--12.357%
2022-09-25T02:43:54nordisweet16_ccx330000000003000000000-
skipped known factor: 62303
skipped known factor: 1308343
skipped known factor: 45667367
skipped known factor: 1060322784463
--2.396--11.661%
2022-10-21T12:53:38nordisweet16_30.8b14300000000092028777950109048156.79240,0493.43180e-580,09931.992%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??39.948131.84267e-63.51308e-53.77262e-6
2008-08-26T19:59:00ANONYMOUSManual testing??20.31972.03830e-143.98329e-54.73171e-14
2008-08-26T19:59:00ANONYMOUSManual testing??25.44582.27669e-113.98326e-55.28506e-11


ECM factoring results:
Total ECM effort:19.209 GHz-days
Estimated T-Level:35.521
DigitsB1CompleteFacMiss
2011000315.8230.000%
255000059.6060.000%
302500008.7620.016%
3510000001.05034.999%
4030000000.10490.096%
45110000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.161
250000250000005851.681
10000001000000001,51117.37


Lucas-Lehmer results:
No L-L results for M31151


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:41:28Oliver KruseOliver-PC
62303
1308343
45667367
1060322784463
8DEC35D8A13845__no
2017-09-21T20:27:23Oliver KruseManual testing
62303
1308343
45667367
1060322784463
8DEC35D8A13845__no
2017-10-12T22:20:51kkmrkkblmbrbkManual testing
62303
1308343
45667367
1060322784463
8DEC35D8A13845__no
2020-04-17T13:47:31Oliver KruseManual testing
62303
1308343
45667367
1060322784463
C036968FC41641__no
2022-05-12T18:18:50Jorge CoveiroManual testing
62303
C036968FC41641ECno
2022-10-21T13:20:08Kevin_9611PI
62303
1308343
45667367
1060322784463
158183593260403411492113979070765956490038975001
C036968FC41641ECno


P-1 factor-bounds graph:
B1 = 3000000000, B2 = 920287779501090 (P-1 stage 2)
B1 = 3000000000 (P-1 stage 1)
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-10-21T13:20:08+00:00