is 2 8407109 - 1
has 2530792 decimal digits
takes 2.195 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L71321AC44C7A89B6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2673.534464.1791 %10000018250000.07343.1933 %3.607865.3230 %
Target2687.089864.7059 %5000055000000.13142.1884 %7.221265.4782 %
Difference-1-3.5554-0.5268 %+50000-3675000-0.0579+1.0050%-3.6133-0.1553 %

Known prime factors (1 factor, 76.2 bits, 0.00090684% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8407109891915845811611402879772376.2395304533614418532
22 × 3 × 13 × 617 × 1087 × 50699993
2013-06-061087506999931,820.41.04621.9533

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-06-18Carsten Kossendeymother450006637506--0.0301.875%
2012-07-21bcp19Toshiba-740Q10000018250006--0.0732.845%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-09-20ANONYMOUSv4_computers212610.018
1998-10-11S00030v4_computers212620.037
1998-12-21ANONYMOUSv4_computers212630.117
2005-09-22David Campeauv4_computers212640.234


ECM factoring results:
Total ECM effort:0.794 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.794


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-24ANONYMOUSv4_computers71321AC44C7A89B62.195
2002-11-02ANONYMOUSv4_computers71321AC44C7A89B62.195


PRP results:
dateuseridcompidcofactorsres64
2018-10-23rucio
89191584581161140287977
50F2CE1B3700768D
2020-05-20Luigi Morelli9800X
89191584581161140287977
50F2CE1B3700768D


CERT results:
No CERT results for M8407109


P-1 factor-bounds graph:
B1 = 100000, B2 = 1825000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 45000, B2 = 663750 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
102
103
104
105
102
103
104
105
106
107
108
TF factor-bounds graph:
264
263
262
261
this exponent TF target: 68
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-02-29T14:28:04+00:00