is 2 862409 - 1
has 259611 decimal digits
takes 0.021 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6BCDDCA1DDB1095Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26734.454670.1493%131072131072000.02953.6291%34.484071.2326%1.0833%
PrimeNet2400.000050.0000%80003400000.000923.0466%0.000961.5233%11.5233%
GPU722440.000054.5455%140005500000.001517.5968%0.001562.5440%7.9985%
Difference+23+34.4546+15.6038%+117072+12557200+0.0279-13.9677%+34.4825+8.6886%+8.6886%

Known prime factors (1 factor, 76.9 bits, 0.00892136% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8624091448167412420060513591592476.93983960592504256131
3 × 27986864168085377
2011-11-1932798686416808537729,46553,615,835100,139,449

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-08-24T00:00:00ANONYMOUSv4_computers40000400000---0.002--1.207%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.292%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.935%
2002-12-16T00:00:00ANONYMOUSv4_computers655376553700---0.015--2.718%
2003-02-09T00:00:00ANONYMOUSv4_computers2048204800---0.000--0.214%
2003-08-25T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.629%
2009-08-29T21:46:00Carsten Kossendeyleela862409862409---0.030--2.237%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-17T00:00:00ANONYMOUSv4_computers21255--0.006--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.011--
2001-12-01T00:00:00ANONYMOUSv4_computers21257--0.022--
2003-02-16T00:00:00ANONYMOUSv4_computers21258--0.045--
2003-03-07T00:00:00ANONYMOUSv4_computers21259--0.089--
2004-02-23T00:00:00Sturle Sundev4_computers21260--0.178--
2010-05-18T18:30:00Architects Cubedm1_f2260261--0.178--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.978 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000324 / 1003.2403.853%
2550000324 / 2801.15731.373%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:13.978 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.6990.000%
25500001.34626.016%
302500000.10789.809%
3510000000.00799.296%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002807.828
25000025000000446.150


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-08T00:00:00ANONYMOUSv4_computers6BCDDCA1DDB1095F0.021


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T05:10:56Oliver KruseGTX-2
144816741242006051359159
79AD6F32B06816__no
2017-10-14T10:32:46Oliver KruseThreadripper79AD6F32B06816__no
2017-12-19T14:21:35ATHxps
144816741242006051359159
79AD6F32B06816__no
2020-04-22T08:21:22Oliver KruseAddPrpType5
144816741242006051359159
5F9B6CD3D58139__no


P-1 factor-bounds graph:
B1 = 862409 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 40000, B2 = 400000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-04-22T08:21:22+00:00