is 2 14561 - 1
has 4384 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-
PRP-unknown--unknown-
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672,040.650979.1045%----2,040.650979.1045%
Target2440.000268.1818%500500000.00001.4173%0.000268.6328%
Difference+23+2,040.6507+10.9227%-500-500000.0000-1.4173%+2,040.6507+10.4717%

Known prime factors (2 factor, 14,561.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1456180749913365828353911962.808277281482610495
3 × 5 × 11 × 1427 × 2551 × 461639		2014-04-23255146163987.9399.525e-61.623e-5
14561
click to show decimal representation
4,36514,498.1922014-04-23

P-1 results:
No P-1 results for M14561


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-07-04ANONYMOUSv4_computers??62.8081945.757.29240e-696.13


ECM factoring results:
Total ECM effort:0.237 GHz-days
Estimated T-Level:26.385
DigitsB1CompleteFacMiss
201100020.7740.000%
25500002.7676.284%
302500000.27775.806%
3510000000.02297.791%
4030000000.00299.850%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001980.049
250000250000001310.163
50000050000000100.025


Lucas-Lehmer results:
No L-L results for M14561


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-09kkmrkkblmbrbkc4.large
8074991336582835391
PRP


P-1 factor-bounds graph:
102
103
104
102
103
104
105
106
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=26.38 ~= 71-bit
250
260
270
280
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Last modified: 2023-10-02T12:12:48+00:00