is 2 4718723 - 1
has 1420478 decimal digits
takes 0.621 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
Actual2676.297065.6716%----6.297065.6716%0.0000%
PrimeNet2610.065162.2951%200004000000.00783.1241%0.072963.4730%1.1779%
GPU722651.546164.6154%300006000000.01172.2342%1.557865.4060%0.7906%
Difference+2+4.7509+1.0563%-30000-600000-0.0117-2.2342%+4.7393+0.2657%+0.2657%

Known prime factors (2 factors, 96.3 bits, 0.00204088% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
47187239437447723.1701
1
-112.369e-131.909e-73.885e-7
4718723103589185809212386702812373.1331097640037455180
22 × 3 × 5 × 421 × 1033 × 42065521
2019-04-21103342065521647.570.43770.8172

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
4718723977617450847594011251274126072996.303
P-1 results:
No P-1 results for M4718723


Trial Factoring results:
No TF results for M4718723


ECM factoring results:

Old Calculation Method

Total ECM effort:0.592 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.592 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.592


Lucas-Lehmer results:
No L-L results for M4718723


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-19T22:50:50Oliver KruseGTX-1
9437447
CFD79DD4AE322B__no
2018-01-05T07:07:49kkmrkkblmbrbkc4.xlarge
9437447
CFD79DD4AE322B__no
2019-04-21T23:35:18ATHec2-PRPCF
9437447
10358918580921238670281
CFD79DD4AE322BA9no


P-1 factor-bounds graph:
100
101
102
103
104
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
220
230
240
250
260
270
280
290
2100
Last modified: 2019-04-21T23:35:18+00:00