is 2 278275507 - 1
has 83769275 decimal digits
takes 3,323.846 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2670.106856.7164%----0.106856.7164%0.0000%
PrimeNet27654.995861.8421%11000006500000079.34815.5768%134.344063.9701%2.1280%
GPU72280879.942963.7500%17000006500000089.17364.1106%969.116665.2401%1.4901%
Difference-13-879.8361-7.0336%-1700000-65000000-89.1736-4.1106%-969.0098-8.5237%-8.5237%

Known prime factors (2 factors, 130.9 bits, 0.00004703% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
278275507124689390108307116972063.43522403946264
23 × 3 × 7 × 17 × 31 × 253049
2010-04-05312530490.00590.23930.4460
2782755072007780755160129782892167.444360754127592
23 × 3 × 47 × 319817489
2022-08-05473198174890.1071301.78563.65

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
278275507250348957832112880048629644575847934643340130.879
P-1 results:
No P-1 results for M278275507


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-04-05T04:32:00oodairaLinux01??63.435200.0006,8200.000
2010-04-05T04:29:00oodairaLinux01262263--0.004--
TF assumed completed to 67 but no detailed record exists
2022-08-05T09:29:46TJAOIManual testing267268*67.444210.0006,8200.001


ECM factoring results:
No ECM results for M278275507


Lucas-Lehmer results:
No L-L results for M278275507


PRP results:
No PRP results for M278275507


P-1 factor-bounds graph:
100
101
102
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
263
2
250
260
270
280
290
2100
Last modified: 2022-08-05T09:29:46+00:00