is 2 4209229 - 1
has 1267105 decimal digits
takes 0.525 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
Actual2677.059265.6716%----7.059265.6716%0.0000%
PrimeNet2610.073062.2951%170003400000.00632.8357%0.079263.3643%1.0692%
GPU722651.733364.6154%220004500000.00821.8755%1.741565.2790%0.6637%
Difference+2+5.3260+1.0563%-22000-450000-0.0082-1.8755%+5.3178+0.3926%+0.3926%

Known prime factors (2 factors, 93.8 bits, 0.00222799% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4209229505107481928.91260
22 × 3 × 5
-458.606e-127.332e-71.472e-6
4209229336913554277046010792064.8694002081548391
33 × 148225242533
2018-02-14271482252425331.20121,460.52,727.8

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
4209229170177556715635486631235719992993.781
P-1 results:
No P-1 results for M4209229


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2018-02-14T13:09:07TJAOIManual testing264265*64.869200.3561.0670.723


ECM factoring results:

Old Calculation Method

Total ECM effort:0.546 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.546 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.546


Lucas-Lehmer results:
No L-L results for M4209229


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T06:34:16kkmrkkblmbrbkManual testing
505107481
FB8109836FC515__no
2018-02-16T15:26:38Oliver KruseGTX-7
505107481
33691355427704601079
9498D11BAFCFC9__no
2018-02-17T05:47:46kkmrkkblmbrbkc5.large
505107481
33691355427704601079
9498D11BAFCFC9__no
2018-02-17T12:32:16AdolfNorManual testing
505107481
33691355427704601079
9498D11BAFCFC9__no


P-1 factor-bounds graph:
100
101
102
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
265
220
230
240
250
260
270
280
290
2100
Last modified: 2018-12-16T17:20:42+00:00