is 2 13278229 - 1
has 3997146 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-
PRP9C3DED0225BE0D92PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672.237864.1791%3000002101291507.54778.8883%9.785567.3630%3.1839%
PrimeNet2640.268162.5000%6000017000000.09614.3505%0.364164.1314%1.6314%
GPU722684.488964.7059%9000024000000.13893.1787%4.627865.8278%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, 108.1 bits, 0.00081383% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13278229784743333911136.1922955
3 × 5 × 197
-51971.130e-99.946e-61.299e-5
1327822943192291752985657311912271.871162643270247055
33 × 5 × 13 × 97 × 103 × 211 × 43961
2021-08-172114396141.2670.00170.0029

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1327822933894863029451362915361022149868133108.063
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-06-20T11:09:22nordisweet16_30.8b14300000300000-
skipped known factor: 78474333391
skipped known factor: 4319229175298565731191
--0.193--2.166%
2022-06-22T19:09:33nordisweet16_30.8b14300000210129150-
skipped known factor: 78474333391
skipped known factor: 4319229175298565731191
--7.548--8.888%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-17T22:49:53ATHec2-P_110000010000027P-12271.8710.090


Trial Factoring results:
No TF results for M13278229


ECM factoring results:
No ECM results for M13278229


Lucas-Lehmer results:
No L-L results for M13278229


PRP results:
dateuseridcompidcofactorsres64PRP
2022-06-29T12:56:54Poaotencent-CNsh
78474333391
4319229175298565731191
9C3DED0225BE0D92no


P-1 factor-bounds graph:
B1 = 300000, B2 = 210129150 (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: 2022-06-29T12:56:54+00:00