is 2 13278401 - 1
has 3997197 decimal digits
takes 5.891 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-
PRP5A73D0CDB79B2A06PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672.237864.1791%3000002101291507.54778.8883%9.785467.3630%3.1839%
PrimeNet2640.268162.5000%6000017000000.09614.3505%0.364164.1314%1.6314%
GPU722684.488964.7059%9000024000000.13893.1787%4.627765.8278%1.1219%
Difference-1-2.2511-0.5268%+210000+207729150+7.4088+5.7096%+5.1577+1.5352%+2.0620%

Known prime factors (2 factors, 123.3 bits, 0.00092849% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13278401782864779341771446.1542947888
24 × 19 × 9697
-1996977.561e-70.00040.0006
132784011659039900902616394619832477.1356247137365796591
32 × 112 × 97 × 15973 × 3702499
2021-08-181597337024994,396.20.13950.2424

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
132784011298803905939318751227317207156789299138123.289
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-06-20T12:16:20nordisweet16_30.8b14300000300000-
skipped known factor: 78286477934177
--0.193--2.166%
2022-06-22T19:46:33nordisweet16_30.8b14300000210129150-
skipped known factor: 78286477934177
skipped known factor: 165903990090261639461983
--7.548--8.888%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-18T05:50:53ATHec2-P_11000001000000027P-12477.1350.403


Trial Factoring results:
No TF results for M13278401


ECM factoring results:
No ECM results for M13278401


Lucas-Lehmer results:
No L-L results for M13278401


PRP results:
dateuseridcompidcofactorsres64PRP
2022-06-29T17:40:44Poaooffice-CN3
78286477934177
165903990090261639461983
5A73D0CDB79B2A06no


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:
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Last modified: 2022-06-29T17:40:44+00:00