is 2 2841691 - 1
has 855435 decimal digits
takes 0.219 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-LEB853CFD3B8427A9double-checked
PRP14CA8DA456A51F__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26942.012668.1159%50000002000000001.74988.4927%43.762470.8238%2.7078%
PrimeNet2590.027062.7119%130002400000.00282.9913%0.029963.8273%1.1154%
GPU722630.561665.0794%160002600000.00331.8280%0.564965.7177%0.6383%
Difference+6+41.4509+3.0366%+4984000+199740000+1.7465+6.6648%+43.1974+5.1061%+5.1061%

Known prime factors (1 factor, 85.4 bits, 0.00300620% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2841691520037296832909881845764712685.4279150138013473489585
3 × 5 × 7 × 538709 × 161764833253
2021-08-105387091617648332533,822,787987.091,843.5

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.197%
2016-10-28T05:22:38Jocelyn Larouchelow 4M190080190080---0.021--1.052%
2016-11-03T20:54:28Jocelyn Larouchelow 4M273715273715---0.031--1.270%
2017-03-11T20:25:03Jocelyn Larouchelow 4M32845832845806---0.055--3.006%
2018-08-30T21:10:24Jocelyn Larouchelow 4M502149502149---0.056--1.688%
2018-09-03T21:22:19Jocelyn Larouchelow 4M602578602578---0.067--1.827%
2018-09-05T22:38:02Jocelyn Larouchelow 4M656916656916---0.074--1.895%
2018-09-12T23:00:19Jocelyn Larouchelow 4M6569161970748---0.082--2.803%
2019-05-21T19:14:12BigBrotherWinston10000002000000012---0.228--5.034%
2019-10-30T03:36:14masserManual testing28500002850000012---0.476--5.874%
2020-02-05T14:49:06masserManual testing500000020000000012---1.750--8.493%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:23Mark RoseManual testing21260--0.054--
2009-02-12T03:13:00Sturle Sundegiacco.ifi260261--0.054--
2012-01-31T07:23:00lycornManual testing261262--0.108--
2013-01-10T10:23:00dbaughManual testing262263--0.345--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.691--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.315--
2016-02-14T20:28:48ramgeisManual testing265266--2.630--
2017-11-04T13:51:45Gordon SpenceManual testing266267--5.259--
2019-01-05T03:38:52chuenkitManual testing267268--10.52--
2021-07-15T09:27:07TJAOIManual testing268269--21.04--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.722 GHz-days
Estimated T-Level:4.850
DigitsB1CurvesCompleteFacMiss
201100097 / 1000.97037.724%
255000097 / 2800.34670.677%

New Calculation Method

Total ECM effort:10.722 GHz-days
Estimated T-Level:4.850
DigitsB1CompleteFacMiss
20110003.1884.125%
25500000.28875.004%
302500000.01898.247%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.417
500005000000868.981
50000675000070.842
50000675000040.481


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-21T00:00:00ANONYMOUSv4_computersEB853CFD3B8427A90.219
1999-05-02T00:00:00ANONYMOUSv4_computersEB853CFD3B8427A90.219
1999-06-06T00:00:00ANONYMOUSv4_computersEB853CFD3B8427A90.219
1999-06-26T00:00:00ANONYMOUSv4_computersEB853CFD3B8427A90.219
1999-07-30T00:00:00ANONYMOUSv4_computersEB853CFD3B8427A90.219
2018-09-14T08:57:07kkmrkkblmbrbkoldEB853CFD3B8427A90.219


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-11T23:55:46-Anonymous-MTY3
52003729683290988184576471
14CA8DA456A51F__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2850000, B2 = 28500000 (P-1 stage 2)
B1 = 2850000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 656916, B2 = 1970748 (P-1 stage 2)
B1 = 656916 (P-1 stage 1)
B1 = 602578 (P-1 stage 1)
B1 = 502149 (P-1 stage 1)
B1 = 328458, B2 = 3284580 (P-1 stage 2)
B1 = 328458 (P-1 stage 1)
B1 = 273715 (P-1 stage 1)
B1 = 190080 (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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2100
Last modified: 2021-08-11T23:55:46+00:00