is 2 85405897 - 1
has 25709737 decimal digits
takes 275.078 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA3BC1F1D313A5A03double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual276179.191364.4737%4340008937885024.65854.5031%203.849866.0735%
Target27589.594664.0000%55000015200000041.10443.9464%130.699165.4207%
Difference+1+89.5967+0.4737%-116000-62621150-16.4459+0.5566%+73.1508+0.6527%

Known prime factors (1 factor, 82.6 bits, 0.00009666% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8540589770913523463018179915404892582.55241515589645418852
22 × 32 × 521 × 97327 × 22742471
2022-11-13973272274247114,6266.216510.808

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2018-01-20YxinityYGSHome780000780000---3.643--1.510%
2022-11-13James Heinrich3930K434000893788502582.55224.66550.249.324.503%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-11-26Architects Cubedm1_54264265--0.044--
2013-02-23LarifariManual testing265266--0.087--
2013-03-01gregoratomwall266267--0.175--
2013-03-02SMoffatManual testing267268--0.350--
2013-03-03Choi4KANGasan01268269--0.700--
2013-03-07sasablSRV01269270--1.400--
2013-06-29willmoreManual testing270271--2.800--
2014-01-26natha(net)Manual testing271272--5.600--
2017-03-05Strolling JellyfishManual testing272273--11.20--
2017-04-21ANONYMOUSManual testing273274--22.40--
2017-08-25Brian BeuningManual testing274275--44.80--
2017-08-31RichD0Manual testing275276--89.60--


ECM factoring results:
No ECM results for M85405897


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2018-05-27curtiscwd-311--01cA3BC1F1D313A5A03275.1


PRP results:
No PRP results for M85405897


P-1 factor-bounds graph:
B1 = 434000, B2 = 89378850 (P-1 stage 2)
B1 = 780000 (P-1 stage 1)
B1 = 434000 (P-1 stage 1)
103
104
105
106
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