is 2 86137 - 1
has 25930 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267344.961174.6269 %----344.961174.6269 %
Target2440.000061.3636 %500500000.00002.3798 %0.000062.2831 %
Difference+23+344.9611+13.2632 %-500-500000.0000-2.3798 %+344.9611+12.3438 %

Known prime factors (3 factors, 86,137.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
861372584111721.30115
3 × 5
-353.254e-126.762e-91.328e-8
8613777479379679161743636244608812892.64644974505543008082262120
23 × 33 × 5 × 47 × 5988769 × 147947360773
2011-01-1159887691479473607731.391e+1017.54432.744
86137
click to show decimal representation
25,89686,023.0532011-01-11

1 Composite Factors:
P-1 results:
No P-1 results for M86137


Trial Factoring results:
5758596061626364656667
No TF results for M86137


ECM factoring results:
Total ECM effort:0.478 GHz-days
Estimated T-Level:25.336
DigitsB1CompleteFacMiss
201100011.5000.001%
25500001.06434.505%
302500000.06793.509%
3510000000.00399.687%


ECM Summary

B1B2factorcurvesGHz-days
10.011
5000050000002990.467


Lucas-Lehmer results:
No L-L results for M86137


PRP results:
dateuseridcompidcofactorsres64
2017-10-30ATHec2-LL
2584111
7747937967916174363624460881
Probable Prime!


CERT results:
No CERT results for M86137


P-1 factor-bounds graph:
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.34 ~= 68-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00