is 2 6918419 - 1
has 2082652 decimal digits
takes 1.509 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
Actual2674.294965.6716%----4.294965.6716%
Target2674.294965.6716%450009000000.02902.2362%4.323966.4393%
Difference----45000-900000-0.0290-2.2362%-0.0290-0.7677%

Known prime factors (3 factors, 135.4 bits, 0.00195743% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
691841920429399465111340.894147645
32 × 5 × 17 × 193
-171934.145e-88.407e-61.094e-5
691841956660329557831342.365409489
43 × 89 × 107
2008-09-30891071.384e-72.845e-55.727e-5
691841950450520629950311652.164364610185
5 × 29 × 463 × 5431
2014-07-3046354310.00020.00020.0003

4 Composite Factors:
P-1 results:
No P-1 results for M6918419


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30markrManual testing??42.365135.36901e-87.3412.61263e-7
2014-07-30TJAOIManual testing??52.164168.26838e-57.3410.000


ECM factoring results:
No ECM results for M6918419


Lucas-Lehmer results:
No L-L results for M6918419


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-11kkmrkkblmbrbkManual testing
2042939946511
5666032955783
5045052062995031
3A493F2B1F9DD2__no
2019-01-23ATHec2-PRPCFDC2
2042939946511
5666032955783
5045052062995031
3A493F2B1F9DD2CEno


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
TF factor-bounds graph:
2
this exponent TF target: 67
TF double-checked to: 67.8
250
260
270
Last modified: 2023-04-26T21:34:10+00:00