is 2 6431683 - 1
has 1936130 decimal digits
takes 1.205 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD74ECFCAF510D8CCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2674.619965.6716 %39500098750000.24775.3061 %4.867767.4932 %
Target2662.296265.1515 %4500050000000.08562.5747 %2.381866.0488 %
Difference+1+2.3237+0.5201 %+350000+4875000+0.1621+2.7314%+2.4859+1.4444 %

Known prime factors (1 factor, 85.0 bits, 0.00132114% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6431683379302007797850981506953272684.9722948699491236205061
17 × 61 × 107 × 487 × 28979 × 1883023
2014-10-062897918830231,041,7540.03530.0521

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-04-09Sturle Sundev4_computers8000017600006--0.0473.289%
2014-10-06Nesowanewfs39500098750001222684.9720.2345.846%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-05ANONYMOUSv4_computers212620.048
2022-03-20LordJuliusManual testing262263
2014-08-02NesowaManual testing2632640.305
2014-08-04lycornManual testing2642650.581


ECM factoring results:
Total ECM effort:0.855 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.855


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23ANONYMOUSv4_computersD74ECFCAF510D8CC1.205


PRP results:
dateuseridcompidcofactorsres64
2017-12-14ATHec2-1xh
37930200779785098150695327
653608995D460E02
2018-07-04kkmrkkblmbrbkc5.large
37930200779785098150695327
653608995D460E02


CERT results:
No CERT results for M6431683


P-1 factor-bounds graph:
B1 = 395000, B2 = 9875000 (P-1 stage 2)
B1 = 395000 (P-1 stage 1)
B1 = 80000, B2 = 1760000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
TF factor-bounds graph:
265
264
263
262
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
290
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Last modified: 2024-03-13T02:15:48+00:00