is 2 311 - 1
has 94 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP00AF1681AD113192PRP-tested
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actualunknown----0.00000.0000%
Target2440.007579.5455%500100000.00000.4080%0.007579.6289%
Difference-44-0.0075-79.5455%-500-100000.0000-0.4080%-0.0075-79.6289%

Known prime factors (3 factors, 311.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3115344847722.3508593
13 × 661		-136613.342e-97.121e-109.909e-10
311264764937391020515846894606767131101.0634256671019148239804612453485
5 × 72 × 137 × 2551 × 1042333 × 47694301068643		-1042333476943010686434.675e+1438.30671.546
311
hide decimal representation
294803681348959296477194164064643062187559537539328375831
57187.588

1 Composite Factors:
P-1 results:
No P-1 results for M311


Trial Factoring results:
No TF results for M311


ECM factoring results:
No ECM results for M311


Lucas-Lehmer results:
No L-L results for M311


PRP results:
dateuseridcompidcofactorsres64PRP
2018-01-24Luke_Richardswork-laptop00AF1681AD113192no


P-1 factor-bounds graph:
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.8
250
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2110
Last modified: 2023-04-26T21:34:10+00:00