is 2 86566481 - 1
has 26059108 decimal digits
takes 278.816 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual276176.788964.4737 %700000136500006.56423.4665 %183.353165.7052 %
Target27588.393464.0000 %5500009500000026.60103.9530 %114.994565.4231 %
Difference+1+88.3955+0.4737 %+150000-81350000-20.0368-0.4865 %+68.3587+0.2821 %

Known prime factors (1 factor, 78.2 bits, 0.00009037% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
865664813548579377835703317068072478.2322049626678157163
7 × 31 × 1021 × 1621 × 5706979
2018-04-0116215706979888.241.45932.7122

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2018-04-01jeriffeeManual testing70000013650000622478.2327.3823.820%


Trial Factoring results:
5758596061626364656667686970717273747576
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-11-22Architects Cubedm1_592642650.043
2011-02-08Michael CManual testing2652660.086
2013-09-07processinfoManual testing2662670.173
2013-09-08SMoffatManual testing2672680.345
2013-09-11SMoffatManual testing2682690.691
2013-09-13SMoffatManual testing2692701.381
2014-11-25SMoffatManual testing2702712.762
2017-04-04Judge HaleManual testing27127316.57
2017-05-21RichD0Manual testing27327422.10
2018-02-15Strolling JellyfishManual testing274276132.6


ECM factoring results:
No ECM results for M86566481


Lucas-Lehmer results:
No L-L results for M86566481


PRP results:
No PRP results for M86566481


CERT results:
No CERT results for M86566481


P-1 factor-bounds graph:
B1 = 700000, B2 = 13650000 (P-1 stage 2)
B1 = 700000 (P-1 stage 1)
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105
106
102
103
104
105
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108
TF factor-bounds graph:
276
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273
271
270
269
268
267
266
265
this exponent TF target: 75
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00