is 2 6947051 - 1
has 2091271 decimal digits
takes 1.515 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
Actual2674.277265.6716%----4.277265.6716%
Target2674.277265.6716%450009000000.02902.2377%4.306266.4398%
Difference----45000-900000-0.0290-2.2377%-0.0290-0.7682%

Known prime factors (3 factors, 146.1 bits, 0.00210256% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
694705113875761785371340.33699868
22 × 24967		-4249673.408e-80.00040.0008
694705187211610961771342.988627688
23 × 31 × 2531		2013-12-183125311.571e-75.287e-58.157e-5
694705177146678918048411511962.742555247679325
3 × 52 × 41 × 180568351		2016-10-05411805683510.14123.11065.8096

4 Composite Factors:
P-1 results:
No P-1 results for M6947051


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2013-12-18TJAOIManual testing??42.988137.28008e-87.3363.52548e-7
2016-10-05TJAOIManual testing262263*62.742190.0537.1060.247


ECM factoring results:
No ECM results for M6947051


Lucas-Lehmer results:
No L-L results for M6947051


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-19kkmrkkblmbrbkc4.xlarge
1387576178537
8721161096177
7714667891804841151
D1E9AC6C8326AD__no
2019-02-09Chang Chia-Tcheexbpc13
1387576178537
8721161096177
7714667891804841151
D1E9AC6C8326ADDEno


P-1 factor-bounds graph:
100
101
102
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
263
2
this exponent TF target: 67
TF double-checked to: 67.8
250
260
270
Last modified: 2023-04-26T21:34:10+00:00