is 2 4096513 - 1
has 1233174 decimal digits
takes 0.511 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
Actual2677.253567.1642%----7.253567.1642%0.0000%
PrimeNet2610.075063.9344%170003400000.00632.8223%0.081264.9523%1.0179%
GPU722651.781066.1538%220004000000.00771.8083%1.788766.7659%0.6120%
Difference+2+5.4725+1.0103%-22000-400000-0.0077-1.8083%+5.4648+0.3983%+0.3983%

Known prime factors (3 factors, 147.5 bits, 0.00360071% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
409651358006624091032.434708
22 × 3 × 59
-4591.611e-101.265e-61.472e-6
4096513129443502169991443.5571579923
32 × 349 × 503
2008-09-303495035.649e-76.463e-50.0001
409651333688853455919807647692271.513411189387851568
24 × 3 × 8566445580241
2018-11-29168566445580241175.5384,406157,646

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
4096513750858057126770920905912375.991
40965131954176658440637667404660986852132103.946
40965134360803175425830732055183912410823135115.070
409651325295547052740448895029456634303010120918847945147.504
P-1 results:
No P-1 results for M4096513


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T21:34:00markrManual testing??43.557142.78804e-71.1126.06724e-7


ECM factoring results:

Old Calculation Method

Total ECM effort:0.362 GHz-days
Estimated T-Level:0.100
DigitsB1CurvesCompleteFacMiss
20110002 / 1000.02098.010%
25500002 / 2800.00799.287%

New Calculation Method

Total ECM effort:0.362 GHz-days
Estimated T-Level:0.100
DigitsB1CompleteFacMiss
20110000.06593.752%
25500000.00699.419%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020.362


Lucas-Lehmer results:
No L-L results for M4096513


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-13T22:16:49kkmrkkblmbrbkc4.xlarge
5800662409
12944350216999
5C73F438B17898__no
2018-01-12T00:43:45Oliver KruseGTX-1
5800662409
12944350216999
5C73F438B17898__no
2018-11-30T11:13:50Chang Chia-Tcheexbbbe-lt
5800662409
12944350216999
3368885345591980764769
5C73F438B17898__no


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
2
230
240
250
260
270
280
290
2100
Last modified: 2018-11-30T11:13:50+00:00