is 2 3333787 - 1
has 1003570 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-L-unknown--unknown-
PRPE9F7502E9B5424A7verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.879067.6471%40000001500000001.82068.7949%19.699670.4925%2.8454%
PrimeNet2600.046163.3333%140002600000.00422.7835%0.050264.3539%1.0206%
GPU722641.067765.6250%180003000000.00511.7538%1.072766.2279%0.6029%
Difference+4+16.8114+2.0221%+3982000+149700000+1.8155+7.0411%+18.6268+4.2646%+4.2646%

Known prime factors (1 factor, 71.6 bits, 0.00214653% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
333378734829804052189655924492271.561522375965413952
26 × 13 × 627855727661
2021-06-1064627855727661177.935,209.49,729.8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-04T06:44:00Carsten Kossendeydurandal15000202500---0.004--0.804%
2011-10-06T17:44:00harleeP4_260055000880000---0.015--1.812%
2012-11-25T13:22:00Squeeky_SquirrelP4_26002100004672500---0.069--3.481%
2018-08-07T17:09:37Jocelyn Larouchelow 4M420000840000---0.067--2.365%
2018-08-15T10:51:08Jocelyn Larouchelow 4M4200002940000---0.085--3.415%
2018-08-16T10:37:56Jocelyn Larouchelow 4M4200003360000---0.088--3.529%
2020-06-09T22:20:46mikrMSI400000015000000012---1.821--8.795%
2022-04-02T19:48:47Jocelyn LaroucheManual testing1000000134316000---1.258--7.663%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-09-10T00:00:00ANONYMOUSv4_computers21260--0.046--
2009-03-29T07:59:00S485122USB-Z260261--0.046--
2011-08-30T21:17:00markrManual testing21262--0.184--
2012-08-25T21:54:00GrunwalderGIMPManual testing21263--0.479--
2016-02-23T16:29:26Mark RoseManual testing262263--0.294--
2015-02-11T09:06:00VictordeHollanderManual testing263264--0.589--
2015-02-11T09:06:00VictordeHollanderManual testing264265--1.121--
2016-02-24T15:51:42YxinityManual testing265266--2.242--
2017-02-28T14:37:41Gordon SpenceManual testing266267--4.483--
2018-11-12T14:47:34TJAOIManual testing267268--8.966--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.988 GHz-days
Estimated T-Level:2.050
DigitsB1CurvesCompleteFacMiss
201100041 / 1000.41066.228%
255000041 / 2800.14686.356%

New Calculation Method

Total ECM effort:5.988 GHz-days
Estimated T-Level:2.050
DigitsB1CompleteFacMiss
20110001.32326.645%
25500000.12088.733%
302500000.00799.267%


ECM Summary

B1B2factorcurvesGHz-days
500005000000365.258
50000500000050.730


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00Bruce A Metcalfv4_computers9A913195AA326F__0.350


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-13T04:16:27Klaus Nordmannno1
3482980405218965592449
E9F7502E9B5424A7no


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