is 2 8588681 - 1
has 2585451 decimal digits
takes 2.243 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
Actual26913.900565.2174%----13.900565.2174%
Target2686.939964.7059%5500012000000.04442.2922%6.984465.5149%
Difference+1+6.9605+0.5115%-55000-1200000-0.0444-2.2922%+6.9161-0.2975%

Known prime factors (7 factors, 306.8 bits, 0.00357249% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
858868168709449826.0344
22
-441.042e-121.514e-63.082e-6
858868110306417211029.94160
22 × 3 × 5
2008-09-08458.436e-121.535e-63.082e-6
85886811258069992891236.8727324
22 × 1831
2008-09-30418311.690e-93.920e-57.070e-5
85886812952960301431238.10317191
17191
2008-09-301171917.338e-90.00040.0007
85886811017936655970331546.5335926036
22 × 53 × 27953
2008-09-3053279531.847e-60.00060.0011
858868117615887123490264331960.612102552924736
26 × 887 × 1806527
2016-02-2288718065270.03140.03760.0696
85886814911495234314297740392168.73528592837679699
33 × 119359 × 8872343
2022-12-02119359887234311.7900.22570.3418

120 Composite Factors:
P-1 results:
No P-1 results for M8588681


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08Will EdgingtonManual testing??29.941101.08147e-134.9662.39478e-13
2008-09-30markrManual testing??46.533157.55061e-74.9661.67198e-6
2008-09-30markrManual testing??36.872126.23852e-104.9661.38144e-9
2008-09-30markrManual testing??38.103123.07404e-94.9666.80705e-9
2016-02-22TJAOIManual testing260261*60.612190.0144.9300.030
2022-04-09LordJuliusManual testing2126429.941108.43550e-124.9661.86793e-11
2022-04-09LordJuliusManual testing2126426.03481.04182e-124.9662.30697e-12
2022-04-09LordJuliusManual testing2126446.533151.84654e-64.9664.08892e-6
2022-04-09LordJuliusManual testing2126436.872121.68975e-94.9663.74173e-9
2022-04-09LordJuliusManual testing2126460.612190.0314.9300.069
2022-04-09LordJuliusManual testing2126438.103127.33765e-94.9661.62482e-8
2022-04-09LordJuliusManual testing2126455.975170.0014.9650.002
2022-04-09LordJuliusManual testing2126462.906190.1284.7800.273
2022-04-09LordJuliusManual testing264265--0.435--
2022-04-09LordJuliusManual testing265266--0.870--
2021-08-06Seth_TrManual testing266267--1.740--
2022-12-02LordJuliusManual testing267268--3.480--
2022-12-02LordJuliusManual testing268269
skipped known factors(?)
--6.961--
2022-12-02LordJuliusManual testing26826968.735214.8504.5529.84


ECM factoring results:
No ECM results for M8588681


Lucas-Lehmer results:
No L-L results for M8588681


PRP results:
dateuseridcompidcofactorsres64PRP
2018-11-27rucio
68709449
1030641721
125806999289
295296030143
101793665597033
1761588712349026433
9654B74E12118F__no
2020-07-26pewlaptop
68709449
1030641721
125806999289
295296030143
101793665597033
1761588712349026433
9654B74E12118FC0no
2022-12-03LordJuliusi79700_Para
68709449
1030641721
125806999289
295296030143
101793665597033
1761588712349026433
491149523431429774039
9654B74E12118FC0no


P-1 factor-bounds graph:
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
TF factor-bounds graph:
269
268
267
266
265
264
261
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-12-03T12:02:29+00:00