is 2 3934451 - 1
has 1184388 decimal digits
takes 0.491 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L058224E4FAC46EA9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2677.552267.1642 %2000001198606501.21526.7716 %8.767469.3877 %
Target2640.904765.6250 %2600025000000.02912.2814 %0.933766.4092 %
Difference+3+6.6476+1.5392 %+174000+117360650+1.1861+4.4901%+7.8337+2.9784 %

Known prime factors (1 factor, 71.6 bits, 0.00181878% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
393445134787934514581255385132271.559442093884440056
23 × 199 × 277697163593
2009-10-19199277697163593166.132,736.25,110.4

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-12Carsten Kossendeymother20000285000--0.0061.834%
2022-05-25JossManual testing200000119860650--1.2158.971%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-04ANONYMOUSv4_computers212600.020
2008-12-26Architects Cubedm1_tt2602610.039


ECM factoring results:
Total ECM effort:0.118 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.118


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-21ANONYMOUSv4_computers058224E4FAC46EA90.491
1999-12-01ANONYMOUSv4_computers058224E4FAC46EA90.491


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
3478793451458125538513
96AE2DDF4D361C88
2017-12-31Oliver KruseGTX-5
3478793451458125538513
96AE2DDF4D361C88


CERT results:
No CERT results for M3934451


P-1 factor-bounds graph:
B1 = 200000, B2 = 119860650 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 20000, B2 = 285000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
261
260
this exponent TF target: 64
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00