is 2 85351163 - 1
has 25693261 decimal digits
takes 274.902 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L11580003EC8B1524double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual276179.306264.4737%4150008804400024.23504.4589%203.541266.0578%
Target27589.652164.0000%55000015200000041.10443.9461%130.756565.4206%
Difference+1+89.6541+0.4737%-135000-63956000-16.8695+0.5128%+72.7847+0.6372%

Known prime factors (1 factor, 82.4 bits, 0.00009659% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8535116365826795006309305300626332582.44538562330431460732
22 × 3 × 13 × 37 × 127 × 8369 × 6285787
2022-11-108369628578716,5731.63632.9872

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-12-31KrisDTHE_MACHINE780000780000---3.643--1.509%
2022-11-10James Heinrich3930K415000880440002582.44524.23549.848.474.459%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-11-25Architects Cubedm1_82264265--0.044--
2013-02-24Florimond C.ichthys1265266--0.088--
2013-02-26SMoffatManual testing266267--0.175--
2013-02-28KevinChenManual testing267268--0.350--
2013-02-28KevinChenManual testing267268--0.350--
2013-03-03ANONYMOUSextensa268269--0.700--
2013-03-04Florimond C.ichthys1269270--1.401--
2013-06-29willmoreManual testing270271--2.802--
2014-01-22natha(net)Manual testing271272--5.603--
2017-03-03Strolling JellyfishManual testing272273--11.21--
2017-04-16ANONYMOUSManual testing273274--22.41--
2017-09-14ANONYMOUSManual testing274275--44.83--
2017-09-17TheJudgerManual testing275276--89.65--


ECM factoring results:
No ECM results for M85351163


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2019-03-27Kevin JagetX29911580003EC8B1524274.9


PRP results:
No PRP results for M85351163


P-1 factor-bounds graph:
B1 = 415000, B2 = 88044000 (P-1 stage 2)
B1 = 780000 (P-1 stage 1)
B1 = 415000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
276
275
274
273
272
271
270
269
268
267
266
265
this exponent TF target: 75
TF double-checked to: 67.8
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290
Last modified: 2023-06-05T21:50:05+00:00