is 2 14831 - 1
has 4465 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
Actual2672,003.500679.1045%250000000427500000000.886614.9729%2,004.387282.2331%3.1287%
PrimeNet2400.000065.0000%500100000.00003.4173%0.000066.1961%1.1961%
GPU722440.000268.1818%500100000.00001.4252%0.000268.6353%0.4535%
Difference+23+2,003.5005+10.9227%+249999500+42749990000+0.8866+13.5477%+2,004.3871+13.5978%+2.6752%

Known prime factors (5 factors, 274.3 bits, 1.84971951% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1483129663514.8561
1
-111.472e-133.456e-107.033e-10
1483138708911825.2061305
32 × 5 × 29
2008-08-269293.865e-103.487e-96.330e-9
1483111500022018073771650.03138770217848
23 × 109 × 479 × 92821
2008-08-26479928210.01061.904e-63.264e-6
1483151325453649285887586892272.120173034366021461424
24 × 3 × 5939 × 606984782867
2008-08-29593960698478286784,08211.42921.345
14831563732971371776124395851932577756734112.119190052245759482207671718674593
31 × 52457 × 116871296588531317922279
2015-08-10524571168712965885313179222791.002e+132.200e+124.110e+12

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1483111482224269931340.063
14831341125153122122239512064.887
14831445153328795657954364472375.237
148311522466931598767283489918072786.977
1483113204583192065601900313273612890.093
148311986752417344832636156929776793097.326
14831589330369556997704863230079689217734112.183
14831590243847054412435941615708071304875337122.151
1483116722011129800995177954155876053996992139126.975
1483117508403235175036087336146748519116516023942137.007
1483121821489416595629911163961227330384679953742137.325
1483122847696543926863140157203639934122071853798345147.357
14831647290840564476170054856581886301200761466603146152.181
14831648294158308957567561710009720873554411328171175949162.149
14831677731222582502541326483131571365863017399218972949162.213
1483119230349617918608326583004018350272244503227541590
7217
54177.006
1483128933850492716303678319963022643571162379596140252
529663
56184.239
1483125094760875801348985522719774094429259961759569840
6784449
57187.355
1483185826480716544371601000506314067625138966596030831
0787393569
60199.095
1483174438589185889541495756043665896305513824567412018
40447110687
61202.212
1483111199978436098615473330600781668009808467183352089
78688249926993
64209.445
1483133222496034999323078540561098661817494856205977303
934829557584393359
68224.301
1483133273991773389209107910164573169656460569562513150
065001196454904723951
71234.269
1483198700641797404410976793921173393151958987493282757
0378130490441838826558513
75249.126
1483112879999861708550637184839564581772198327622046304
62195775528466422472898827361
79259.476
1483138205943589786073755081389600418910871899225275953
400113289500899489813597916009343
83274.332
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-02T13:21:55ViliamF325000000042750000000-
skipped known factor: 29663
skipped known factor: 38708911
skipped known factor: 1150002201807377
--0.887--14.973%
2021-08-27T07:41:14Seth_TrManual testing400000000400000000-
skipped known factor: 29663
skipped known factor: 38708911
skipped known factor: 1150002201807377
--0.138--7.876%
2022-03-18T23:00:12PrimeNR50000000500000002890.0930.0177.06944e-60.0354.975%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:58:00ANONYMOUSManual testing??50.031160.0007.42110e-60.001
2008-08-26T19:58:00ANONYMOUSManual testing??25.20688.51357e-111.72968e-54.16602e-10


ECM factoring results:
Total ECM effort:12.637 GHz-days
Estimated T-Level:35.849
DigitsB1CompleteFacMiss
2011000350.5330.000%
255000071.6260.000%
3025000011.5160.001%
3510000001.52521.760%
4030000000.17084.379%
45110000000.01698.368%
50440000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000001480.037
250000250000005510.685
50000050000000100.025
10000001000000001,3416.669
30000003000000003505.221


Lucas-Lehmer results:
No L-L results for M14831


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:14:01Oliver KrusePRP
29663
38708911
1150002201807377
5132545364928588758689
5637329713717761243958519325777567
9E059A67525C1D31no
2017-09-21T19:22:14Oliver KruseManual testing
29663
38708911
1150002201807377
5132545364928588758689
5637329713717761243958519325777567
9E059A67525C1D31no
2017-10-02T10:05:44kkmrkkblmbrbkManual testing
29663
38708911
1150002201807377
5132545364928588758689
5637329713717761243958519325777567
9E059A67525C1D__no
2017-12-07T02:54:44ATHManual testing
29663
38708911
1150002201807377
5132545364928588758689
5637329713717761243958519325777567
9E059A67525C1D__no
2020-04-17T13:48:03Oliver KruseManual testing
29663
38708911
1150002201807377
5132545364928588758689
5637329713717761243958519325777567
6293DE424A5EF3__no
2022-05-12T18:18:34Jorge CoveiroManual testing
29663
6293DE424A5EF3FBno


P-1 factor-bounds graph:
B1 = 250000000, B2 = 42750000000 (P-1 stage 2)
B1 = 400000000 (P-1 stage 1)
B1 = 250000000 (P-1 stage 1)
B1 = 50000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-12T18:18:34+00:00