is 2 3439561 - 1
has 1035412 decimal digits
takes 0.361 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBE75E152EFCAD2A2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.329267.6471%10000001146568501.09537.5156%18.424570.0786%2.4315%
PrimeNet2600.044763.3333%150002800000.00452.8998%0.049164.3966%1.0633%
GPU722641.034865.6250%190003400000.00561.8537%1.040466.2622%0.6372%
Difference+4+16.2944+2.0221%+981000+114316850+1.0898+5.6619%+17.3842+3.8164%+3.8164%

Known prime factors (1 factor, 66.2 bits, 0.00192560% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3439561866680787635192282072066.23212598712272223
7 × 11 × 163619639899
2016-12-17111636196398995.66971,357.62,535.6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-15T21:06:00Carsten Kossendeydurandal15000210000---0.004--0.818%
2011-11-03T09:08:00harleeP4_260060000945000---0.016--1.894%
2014-07-18T01:20:00Jocelyn LaroucheManual testing7866178661---0.012--0.756%
2014-09-17T16:42:00HBendtzHAL900750000010000000---0.155--4.591%
2021-03-16T16:24:14Jocelyn LaroucheManual testing34395637835176---0.081--3.565%
2022-01-24T20:13:13Jocelyn LaroucheManual testing1000000114656850---1.095--7.516%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:29Mark RoseManual testing21260--0.045--
2009-03-22T09:56:00S485122USB-Z260261--0.045--
2011-08-01T12:13:00markroldgamer261262--0.089--
2022-05-11T16:04:03LordJuliusManual testing21262--0.179--
2012-08-18T15:34:00GrunwalderGIMPManual testing21263--0.464--
2016-02-23T16:29:29Mark RoseManual testing262263--0.285--
2022-05-11T16:04:03LordJuliusManual testing262263--0.285--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.571--
2022-05-11T16:04:03LordJuliusManual testing263264--0.571--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.086--
2022-05-11T16:04:03LordJuliusManual testing264265--1.086--
2021-03-16T16:24:16Jocelyn LaroucheManual testing265266--2.173--
2015-04-14T09:01:00Gordon SpenceManual testing265266--2.173--
2022-05-11T16:04:03LordJuliusManual testing265266--2.173--
2022-05-11T16:04:03LordJuliusManual testing26626766.232201.3760.7342.795
2021-06-10T14:05:05Jocelyn LaroucheManual testing267268--8.690--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.469 GHz-days
Estimated T-Level:0.500
DigitsB1CurvesCompleteFacMiss
201100010 / 1000.10090.438%
255000010 / 2800.03696.485%

New Calculation Method

Total ECM effort:1.469 GHz-days
Estimated T-Level:0.500
DigitsB1CompleteFacMiss
20110000.38568.071%
25500000.03696.504%
302500000.00299.776%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.322
50000500000010.147


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computersBE75E152EFCAD2A20.361


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-06T16:11:57Oliver KruseGTX-0
86668078763519228207
51DE72AA944157__no
2017-12-16T11:08:11kkmrkkblmbrbkc4.xlarge
86668078763519228207
51DE72AA944157__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 343956, B2 = 3783517 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 343956 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 78661 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 210000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-11T16:04:03+00:00