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-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672.237864.1791 %3000002101291507.54778.8883 %9.785567.3630 %
Target2684.488964.7059 %90000120000000.47543.1787 %4.964365.8278 %
Difference-1-2.2511-0.5268 %+210000+198129150+7.0723+5.7096%+4.8212+1.5352 %

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:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-06-20nordisweet16_30.8b14300000300000
skipped known factor: 78474333391
skipped known factor: 4319229175298565731191
--0.1781.920%
2022-06-22nordisweet16_30.8b14300000210129150
skipped known factor: 78474333391
skipped known factor: 4319229175298565731191
--8.5328.133%


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


Trial Factoring results:
575859606162636465666768
No TF results for M13278229


ECM factoring results:
No ECM results for M13278229


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


PRP results:
dateuseridcompidcofactorsres64
2022-06-29Poaotencent-CNsh
78474333391
4319229175298565731191
9C3DED0225BE0D92


CERT results:
dateuseridcompid
2022-06-29Will EdgingtonVestaBilly


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:
this exponent TF target: 68
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00