is 2 313 - 1
has 95 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-
PRPB23B23A7BDEDA26BPRP-tested
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actualunknown----0.00000.0000%
Target2440.007579.5455%500100000.00000.4089%0.007579.6291%
Difference-44-0.0075-79.5455%-500-100000.0000-0.4089%-0.0075-79.6291%

Known prime factors (4 factors, 313.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31310960009823.38617508
22 × 3 × 1459		-414596.390e-91.228e-92.189e-9
313147879706971802731753.71523622956385272
23 × 73 × 32633 × 1239551		-3263312395516.84741.450e-61.859e-6
31338571947642891411652780972581.6746161652978097669593096
23 × 3 × 23 × 2038470263 × 5475878171		-203847026354758781712.796e+90.03280.0612
313
hide decimal representation
26693012026551688286164949958620483258358551879
47154.225

4 Composite Factors:
P-1 results:
No P-1 results for M313


Trial Factoring results:
No TF results for M313


ECM factoring results:
No ECM results for M313


Lucas-Lehmer results:
No L-L results for M313


PRP results:
dateuseridcompidcofactorsres64PRP
2018-01-24Luke_Richardswork-laptopB23B23A7BDEDA26Bno


P-1 factor-bounds graph:
100
101
102
103
104
105
106
107
108
109
1010
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.8
250
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290
Last modified: 2023-04-26T21:34:10+00:00