is 2 3331837 - 1
has 1002983 decimal digits
takes 0.350 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6BCA3B7BF27CFE3Bdouble-checked
PRP1D414BD3D020F7CCverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.889567.6471%40000001500000001.82068.7944%19.710070.4923%2.8452%
PrimeNet2600.046163.3333%140002600000.00422.7832%0.050364.3538%1.0205%
GPU722641.068365.6250%180003000000.00511.7536%1.073466.2278%0.6028%
Difference+4+16.8212+2.0221%+3982000+149700000+1.8155+7.0408%+18.6367+4.2645%+4.2645%

Known prime factors (1 factor, 72.9 bits, 0.00218691% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
333183785974275335800120975132272.8641290193297808388
22 × 3 × 107516108150699
2021-06-094107516108150699357.12892,0821,666,161

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:40:00Carsten Kossendeydurandal15000202500---0.004--0.804%
2011-10-06T05:08:00harleeP4_260055000880000---0.015--1.812%
2012-11-24T00:54:00Squeeky_SquirrelP4_26002100004672500---0.069--3.481%
2018-08-07T17:09:37Jocelyn Larouchelow 4M420000840000---0.067--2.365%
2018-08-15T10:51:07Jocelyn Larouchelow 4M4200002940000---0.085--3.415%
2018-08-16T10:37:55Jocelyn Larouchelow 4M4200003360000---0.088--3.529%
2020-05-31T10:52:40mikrMSI400000015000000012---1.821--8.794%
2022-04-02T19:48:47Jocelyn LaroucheManual testing1000000134316000---1.258--7.663%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-17T00:00:00Trent Tauferv4_computers21260--0.046--
2009-03-30T15:06:00S485122USB-Z260261--0.046--
2011-09-01T20:36:00markrManual testing21262--0.184--
2012-08-25T21:54:00GrunwalderGIMPManual testing21263--0.479--
2016-02-23T16:29:26Mark RoseManual testing262263--0.295--
2015-02-11T09:06:00VictordeHollanderManual testing263264--0.589--
2015-02-11T09:06:00VictordeHollanderManual testing264265--1.121--
2016-03-02T03:51:55omylistManual testing265266--2.243--
2017-02-28T14:37:41Gordon SpenceManual testing266267--4.486--
2018-11-12T14:47:34TJAOIManual testing267268--8.971--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.549 GHz-days
Estimated T-Level:1.900
DigitsB1CurvesCompleteFacMiss
201100038 / 1000.38068.255%
255000038 / 2800.13687.288%

New Calculation Method

Total ECM effort:5.549 GHz-days
Estimated T-Level:1.900
DigitsB1CompleteFacMiss
20110001.22629.352%
25500000.11189.513%
302500000.00799.320%


ECM Summary

B1B2factorcurvesGHz-days
500005000000365.257
50000500000020.292


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-01T00:00:00Trent Tauferv4_computers6BCA3B7BF27CFE3B0.350
1999-11-10T00:00:00ANONYMOUSv4_computers6BCA3B7BF27CFE3B0.350


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-10T03:08:29Chang Chia-Tchehomura
8597427533580012097513
1D414BD3D020F7CCno


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 = 420000, B2 = 3360000 (P-1 stage 2)
B1 = 420000, B2 = 2940000 (P-1 stage 2)
B1 = 210000, B2 = 4672500 (P-1 stage 2)
B1 = 420000, B2 = 840000 (P-1 stage 2)
B1 = 420000 (P-1 stage 1)
B1 = 210000 (P-1 stage 1)
B1 = 55000, B2 = 880000 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 202500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-02T19:48:47+00:00