is 2 3371399 - 1
has 1014893 decimal digits
takes 0.354 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-
PRP6FDDC35CB5CEC902verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27070.875868.5714%40000001500000001.82067.5151%72.696470.9333%2.3619%
PrimeNet2600.045663.3333%140002800000.00432.8429%0.049964.3757%1.0424%
GPU722641.055765.6250%180003200000.00521.7892%1.061066.2400%0.6150%
Difference+6+69.8201+2.9464%+3982000+149680000+1.8153+5.7259%+71.6354+4.6933%+4.6933%

Known prime factors (1 factor, 75.1 bits, 0.00222816% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3371399410574625160135408987832375.1206089083866373209
3 × 13 × 41 × 43 × 88559475637
2021-08-1743885594756372,274.1734.801,372.4

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-09T04:54:00Carsten Kossendeydurandal15000206250---0.004--0.590%
2011-10-17T09:22:00harleeP4_260060000930000---0.016--1.449%
2014-06-24T22:45:00Jocelyn LaroucheManual testing7903879038---0.012--0.562%
2014-10-12T23:58:00Jocelyn LaroucheManual testing9807698076---0.015--0.645%
2015-07-27T10:40:00Squeeky_SquirrelP4_26001650004331250---0.060--2.640%
2017-04-13T02:08:48Jocelyn Larouchelow 4M33000033000006---0.075--2.769%
2021-02-09T04:25:45mikrMSI400000015000000012---1.821--7.515%
2022-02-25T17:22:08Jocelyn LaroucheManual testing200000200000---0.030--0.975%
2022-04-09T09:24:05Jocelyn LaroucheManual testing10000001000000---0.152--2.062%
2022-04-10T15:21:18Jocelyn LaroucheManual testing1000000126668850---1.195--6.392%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:26Mark RoseManual testing21260--0.046--
2009-03-27T06:57:00S485122USB-A260261--0.046--
2011-08-19T21:04:00markroldgamer261262--0.091--
2012-11-15T00:21:00GrunwalderGIMPManual testing21263--0.473--
2016-02-23T16:29:27Mark RoseManual testing262263--0.291--
2015-02-15T12:50:00VictordeHollanderManual testing263264--0.582--
2015-02-15T12:50:00VictordeHollanderManual testing264265--1.108--
2015-03-30T10:38:00Gordon SpenceManual testing265266--2.217--
2017-03-07T14:12:53Gordon SpenceManual testing266267--4.433--
2018-11-05T15:44:27TJAOIManual testing267268--8.866--
2021-08-01T20:43:11Jocelyn LaroucheManual testing268269--17.73--
2021-08-21T01:11:25MadPooManual testing269270--35.46--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.504 GHz-days
Estimated T-Level:2.450
DigitsB1CurvesCompleteFacMiss
201100049 / 1000.49061.112%
255000049 / 2800.17583.919%

New Calculation Method

Total ECM effort:7.504 GHz-days
Estimated T-Level:2.450
DigitsB1CompleteFacMiss
20110001.62919.612%
25500000.14686.386%
302500000.00999.101%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.244
50000500000060.878
500006800000142.381


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00ANONYMOUSv4_computers11A773209ACD9E__0.354


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-17T05:33:02GURA LOVE
41057462516013540898783
6FDDC35CB5CEC902no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 330000, B2 = 3300000 (P-1 stage 2)
B1 = 165000, B2 = 4331250 (P-1 stage 2)
B1 = 330000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 165000 (P-1 stage 1)
B1 = 60000, B2 = 930000 (P-1 stage 2)
B1 = 98076 (P-1 stage 1)
B1 = 79038 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-10T15:21:18+00:00