is 2 86274637 - 1
has 25971254 decimal digits
takes 277.876 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
Actual276177.386964.4737 %700000138250006.60873.4742 %183.995765.7079 %
Target27588.692464.0000 %5500009500000026.60103.9514 %115.293565.4225 %
Difference+1+88.6945+0.4737 %+150000-81175000-19.9923-0.4772 %+68.7022+0.2854 %

Known prime factors (1 factor, 81.4 bits, 0.00009435% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8627463731996281476402359766227992581.40418543272153322627
32 × 17 × 89 × 62639 × 21740029
2018-03-05626392174002911,0915.808310.332

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2018-03-05Oliver KruseManual testing700000138250001222581.4047.4323.829%


Trial Factoring results:
5758596061626364656667686970717273747576
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-11-21Architects Cubedm1_562642650.043
2010-11-24Michael CManual testing2642660.130
2013-03-01Freaks32Manual testing2662670.173
2013-03-08wangyun183Manual testing2672680.346
2013-06-18SMoffatManual testing2682690.693
2013-06-20SMoffatManual testing2692701.386
2014-03-13Smok_bmvManual testing2702712.772
2017-04-181997rj7Manual testing27127316.63
2017-05-24ANONYMOUSManual testing27327422.17
2017-12-271997rj7Manual testing27427544.35
2018-01-28TheJudgerManual testing27527688.69


ECM factoring results:
No ECM results for M86274637


Lucas-Lehmer results:
No L-L results for M86274637


PRP results:
No PRP results for M86274637


CERT results:
No CERT results for M86274637


P-1 factor-bounds graph:
B1 = 700000, B2 = 13825000 (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