is 2 3165259 - 1
has 952838 decimal digits
takes 0.269 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFA1F8864005E978Edouble-checked
PRPE757BF8636D26DC5verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.831067.6471%30000001000000001.02248.0644%19.853470.2561%2.6091%
PrimeNet2600.048563.3333%130002400000.00312.6522%0.051764.3058%0.9725%
GPU722641.124565.6250%150002600000.00351.5815%1.128066.1686%0.5436%
Difference+4+17.7065+2.0221%+2985000+99740000+1.0189+6.4829%+18.7254+4.0875%+4.0875%

Known prime factors (1 factor, 70.6 bits, 0.00223030% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
316525917829141971515017822972270.595281637963457572
22 × 3 × 17 × 199 × 6937579157
2021-01-311996937579157150.2546.64787.123

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.252%
2009-07-03T00:43:00Carsten Kossendeyleela15000191250---0.003--0.781%
2011-09-09T13:17:00Squeeky_SquirrelT7500_220060000960000---0.013--1.876%
2014-06-01T23:28:00Jocelyn LaroucheManual testing8027880278---0.010--0.753%
2014-09-25T21:11:00Jocelyn LaroucheManual testing100556100556---0.012--0.862%
2015-08-10T13:57:00Jocelyn LaroucheManual testing433923433923---0.054--1.811%
2015-11-06T02:59:21Jocelyn LaroucheManual testing552052552052---0.068--2.009%
2015-11-30T10:40:51HBendtzManual testing5000001200000012---0.139--4.711%
2019-07-25T02:55:07mikrMSI300000010000000012---1.022--8.064%
2022-02-22T08:54:57Jocelyn LaroucheManual testing1000000134343300---1.020--7.621%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-08T00:00:00ANONYMOUSv4_computers21259--0.024--
2001-07-29T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-08T17:57:00S485122USB-Z260261--0.049--
2011-10-30T07:39:00Grant McCrackenthumper261262--0.097--
2013-01-03T08:45:00dbaughManual testing262263--0.310--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.620--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.180--
2015-06-17T10:00:00ThaManual testing265266--2.361--
2017-04-22T18:10:36Gordon SpenceManual testing266267--4.722--
2019-01-21T12:54:07TJAOIManual testing267268--9.443--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.220 GHz-days
Estimated T-Level:1.800
DigitsB1CurvesCompleteFacMiss
201100036 / 1000.36069.641%
255000036 / 2800.12987.915%

New Calculation Method

Total ECM effort:4.220 GHz-days
Estimated T-Level:1.800
DigitsB1CompleteFacMiss
20110001.16131.308%
25500000.10590.036%
302500000.00699.356%


ECM Summary

B1B2factorcurvesGHz-days
500005000000293.400
50000500000070.821


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-19T00:00:00ANONYMOUSv4_computersFA1F8864005E978E0.269
1999-06-26T00:00:00ANONYMOUSv4_computersFA1F8864005E978E0.269


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-31T12:39:48ViliamF3
1782914197151501782297
E757BF8636D26DC5no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 500000, B2 = 12000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 552052 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 433923 (P-1 stage 1)
B1 = 60000, B2 = 960000 (P-1 stage 2)
B1 = 100556 (P-1 stage 1)
B1 = 80278 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (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: 2022-02-22T08:54:57+00:00