is 2 86598229 - 1
has 26068665 decimal digits
takes 278.918 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
Actual276176.724164.4737 %700000131250006.43063.4386 %183.154765.6953 %
Target27588.361064.0000 %5500009500000026.60103.9532 %114.962165.4231 %
Difference+1+88.3631+0.4737 %+150000-81875000-20.1704-0.5145 %+68.1927+0.2722 %

Known prime factors (1 factor, 106.4 bits, 0.00012288% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8659822910822833554450211673047196165356133106.416624887695708546861451820
22 × 3 × 5 × 192 × 23 × 71 × 73 × 2129 × 13151 × 8643707
2018-03-221315186437071.637e+92.25744.1078

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2018-03-22mikrS05770000013125000233106.4166.4313.790%


Trial Factoring results:
5758596061626364656667686970717273747576
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-11-22Architects Cubedm1_582642650.043
2011-02-06Michael CManual testing2652660.086
2013-03-26wangyun183Manual testing2662670.173
2013-03-31David Barleyken22672680.345
2013-08-19SMoffatManual testing2682690.690
2013-08-21S04803Manual testing2692701.381
2013-12-04josiboziben2702712.761
2017-04-05Judge HaleManual testing27127316.57
2017-05-18gcardonaManual testing27327422.09
2018-02-20RichD0Manual testing27427544.18
2018-02-22BrandonManual testing27527688.36


ECM factoring results:
No ECM results for M86598229


Lucas-Lehmer results:
No L-L results for M86598229


PRP results:
No PRP results for M86598229


CERT results:
No CERT results for M86598229


P-1 factor-bounds graph:
B1 = 700000, B2 = 13125000 (P-1 stage 2)
B1 = 700000 (P-1 stage 1)
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104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
276
275
274
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