is 2 13278709 - 1
has 3997290 decimal digits
takes 5.892 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-
PRP6E4E310ACEF41DF3PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672.237764.1791%3000002101291507.54778.8883%9.785467.3630%3.1839%
PrimeNet2640.268062.5000%6000017000000.09614.3505%0.364164.1315%1.6315%
GPU722684.488864.7059%9000024000000.13893.1787%4.627665.8278%1.1219%
Difference-1-2.2510-0.5268%+210000+207729150+7.4088+5.7096%+5.1578+1.5352%+2.0620%

Known prime factors (2 factors, 128.6 bits, 0.00096821% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
132787097116017548362173511859.30426794839575
52 × 7 × 23 × 6657103
2000-09-082566571030.01060.23340.4358
132787097076278646871997522392169.26226645205670491
3 × 67 × 82729 × 1602379
2021-08-1882729160237915.6390.10650.1083

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1327870950354923028241670354415444763115289888939128.565
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-06-20T13:30:01nordisweet16_30.8b14300000300000---0.193--2.166%
2022-06-22T20:29:21nordisweet16_30.8b14300000210129150-
skipped known factor: 711601754836217351
skipped known factor: 707627864687199752239
--7.548--8.888%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-18T09:53:04ATHec2-P_11000001000000027P-12169.2620.403


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-09-08T00:00:00ANONYMOUSv4_computers??59.304180.00512.250.010


ECM factoring results:
No ECM results for M13278709


Lucas-Lehmer results:
No L-L results for M13278709


PRP results:
dateuseridcompidcofactorsres64PRP
2022-06-29T18:54:51Poaooffice-CN2
711601754836217351
707627864687199752239
6E4E310ACEF41DF3no


P-1 factor-bounds graph:
B1 = 300000, B2 = 210129150 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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TF factor-bounds graph:
267
2
250
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2100
Last modified: 2022-06-29T18:54:51+00:00