is 2 3288889 - 1
has 990055 decimal digits
takes 0.345 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-
PRPE591D3A409C77FE0verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.123167.6471%40000001500000001.82068.7836%19.943770.4888%2.8418%
PrimeNet2600.046763.3333%140002600000.00422.7768%0.050964.3515%1.0181%
GPU722641.082265.6250%170002800000.00481.6881%1.087066.2053%0.5803%
Difference+4+17.0409+2.0221%+3983000+149720000+1.8158+7.0955%+18.8567+4.2835%+4.2835%

Known prime factors (1 factor, 101.4 bits, 0.00308261% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3288889330725473918551069990029533837731101.383502792088633199645822692
22 × 29 × 461 × 48821 × 2282989 × 84356593
2021-04-182282989843565935.463e+101.02871.3073

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-09T19:18:00Carsten Kossendeydurandal15000191250---0.004--0.787%
2011-09-24T01:53:00harleeP4_2600600001065000---0.017--1.939%
2014-06-26T21:22:00ANONYMOUSManual testing7951579515---0.012--0.754%
2014-10-10T20:28:00Jocelyn LaroucheManual testing9903099030---0.015--0.861%
2016-01-28T01:44:16Jocelyn LaroucheManual testing38340038340006---0.087--3.600%
2021-04-18T18:06:37mikrMSI40000001500000001231101.3831.8210.6913.6418.784%
2022-03-19T20:23:39Jocelyn LaroucheManual testing1000000134316000---1.258--7.652%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-24T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-02T04:52:00S485122USB-Z260261--0.047--
2011-09-25T16:42:00markroldgamer261262--0.093--
2012-12-30T00:06:00dbaughManual testing262263--0.298--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.597--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.136--
2015-06-29T20:47:00ThaManual testing265266--2.272--
2017-04-07T14:00:46Gordon SpenceManual testing266267--4.544--
2018-11-19T15:52:50TJAOIManual testing267268--9.088--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.066 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:5.066 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.05434.850%
25500000.09491.007%
302500000.00699.425%


ECM Summary

B1B2factorcurvesGHz-days
50000305000070.842
500005000000294.225


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computers39348E32A08ABD__0.345


PRP results:
dateuseridcompidcofactorsres64PRP
2021-04-19T11:49:10mikrNitron
3307254739185510699900295338377
E591D3A409C77FE0no
2021-04-25T08:02:42Chang Chia-Tcheexbpc13
3307254739185510699900295338377
E591D3A409C77FE0no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 134316000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 383400, B2 = 3834000 (P-1 stage 2)
B1 = 383400 (P-1 stage 1)
B1 = 60000, B2 = 1065000 (P-1 stage 2)
B1 = 99030 (P-1 stage 1)
B1 = 79515 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-19T20:23:39+00:00