is 2 3336829 - 1
has 1004486 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-
PRP81E404E0CD204308verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.862767.6471%40000001500000001.82068.7956%19.683370.4927%2.8456%
PrimeNet2600.046063.3333%140002600000.00422.7839%0.050264.3541%1.0208%
GPU722641.066765.6250%180003000000.00511.7541%1.071866.2280%0.6030%
Difference+4+16.7961+2.0221%+3982000+149700000+1.8155+7.0415%+18.6115+4.2647%+4.2647%

Known prime factors (1 factor, 69.9 bits, 0.00209591% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
333682911302112874120464060092269.937169354091476076
22 × 13 × 107 × 151 × 201572659
2021-02-1315120157265961.8071.67253.1237

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-04T06:46:00Carsten Kossendeydurandal15000206250---0.004--0.809%
2011-10-07T12:05:00harleeP4_260055000893750---0.015--1.820%
2012-11-28T12:52:00Squeeky_SquirrelP4_26002100004672500---0.069--3.482%
2018-08-18T12:00:13Jocelyn Larouchelow 4M4200003360000---0.088--3.530%
2020-06-27T08:14:52mikrMSI400000015000000012---1.821--8.796%
2022-04-02T19:48:47Jocelyn LaroucheManual testing1000000134316000---1.258--7.664%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-30T04:56:00S485122USB-Z260261--0.046--
2011-08-27T00:18:00markrManual testing21262--0.184--
2012-08-25T21:54:00GrunwalderGIMPManual testing21263--0.478--
2016-02-23T16:29:26Mark RoseManual testing262263--0.294--
2015-02-11T09:06:00VictordeHollanderManual testing263264--0.588--
2015-02-11T09:06:00VictordeHollanderManual testing264265--1.120--
2016-03-02T10:47:00ramgeisManual testing265266--2.239--
2017-03-02T18:04:36Gordon SpenceManual testing266267--4.479--
2018-11-05T15:44:31TJAOIManual testing267268--8.958--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.618 GHz-days
Estimated T-Level:2.950
DigitsB1CurvesCompleteFacMiss
201100059 / 1000.59055.268%
255000059 / 2800.21180.970%

New Calculation Method

Total ECM effort:8.618 GHz-days
Estimated T-Level:2.950
DigitsB1CompleteFacMiss
20110001.90314.909%
25500000.17284.197%
302500000.01198.946%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.191
500005000000446.427


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-04T00:00:00ANONYMOUSv4_computers196BAD2A3F2A09__0.350


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-14T14:55:51ViliamF3
1130211287412046406009
81E404E0CD204308no


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 = 210000, B2 = 4672500 (P-1 stage 2)
B1 = 420000 (P-1 stage 1)
B1 = 210000 (P-1 stage 1)
B1 = 55000, B2 = 893750 (P-1 stage 2)
B1 = 55000 (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: 2022-04-02T19:48:47+00:00