is 2 3307277 - 1
has 995590 decimal digits
takes 0.347 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-
PRPD0F4CF09B7CBC2ECverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.022367.6471%40000001500000001.82068.7882%19.842970.4903%2.8433%
PrimeNet2600.046463.3333%140002600000.00422.7795%0.050664.3525%1.0192%
GPU722641.076265.6250%170003000000.00491.7229%1.081166.2172%0.5922%
Difference+4+16.9461+2.0221%+3983000+149700000+1.8156+7.0654%+18.7617+4.2731%+4.2731%

Known prime factors (1 factor, 68.2 bits, 0.00206249% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33072773419044265623852332012168.21251689717335800
23 × 33 × 52 × 23 × 416181299
2021-05-232741618129928.5863.45316.4495

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T00:40:00Carsten Kossendeydurandal15000195000---0.004--0.793%
2011-09-30T11:51:00harleeP4_260055000880000---0.015--1.810%
2012-11-15T20:27:00Squeeky_SquirrelP4_26002050004612500---0.068--3.455%
2018-08-06T19:37:31Jocelyn Larouchelow 4M410000820000---0.066--2.340%
2018-08-07T17:09:32Jocelyn Larouchelow 4M4100001230000---0.069--2.673%
2018-08-08T12:55:45Jocelyn Larouchelow 4M4100001640000---0.073--2.912%
2018-08-08T23:04:25Jocelyn Larouchelow 4M4100002050000---0.076--3.099%
2018-08-13T04:30:29Jocelyn Larouchelow 4M4100004100000---0.093--3.687%
2020-02-09T13:35:07mikrMSI400000015000000012---1.821--8.788%
2022-04-02T19:48:48Jocelyn LaroucheManual testing1000000134316000---1.258--7.657%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-07-17T00:00:00ANONYMOUSv4_computers21260--0.046--
2009-04-01T04:45:00S485122USB-Z260261--0.046--
2011-09-07T20:51:00markrManual testing21262--0.186--
2012-08-25T21:54:00GrunwalderGIMPManual testing21263--0.483--
2016-02-23T16:29:25Mark RoseManual testing262263--0.297--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.594--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.130--
2016-02-29T17:40:41YxinityManual testing265266--2.259--
2017-02-24T15:45:24Gordon SpenceManual testing266267--4.519--
2018-12-03T19:08:41TJAOIManual testing267268--9.038--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.979 GHz-days
Estimated T-Level:2.050
DigitsB1CurvesCompleteFacMiss
201100041 / 1000.41066.228%
255000041 / 2800.14686.356%

New Calculation Method

Total ECM effort:5.979 GHz-days
Estimated T-Level:2.050
DigitsB1CompleteFacMiss
20110001.32326.645%
25500000.12088.733%
302500000.00799.267%


ECM Summary

B1B2factorcurvesGHz-days
500005000000365.250
50000500000050.729


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computers5068E9E9D251CB__0.347


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-23T19:32:43tottenhoff2018pc
341904426562385233201
D0F4CF09B7CBC2ECno


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 = 410000, B2 = 4100000 (P-1 stage 2)
B1 = 410000, B2 = 2050000 (P-1 stage 2)
B1 = 410000, B2 = 1640000 (P-1 stage 2)
B1 = 410000, B2 = 1230000 (P-1 stage 2)
B1 = 205000, B2 = 4612500 (P-1 stage 2)
B1 = 410000, B2 = 820000 (P-1 stage 2)
B1 = 410000 (P-1 stage 1)
B1 = 205000 (P-1 stage 1)
B1 = 55000, B2 = 880000 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 195000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-02T19:48:48+00:00