is 2 2694641 - 1
has 811168 decimal digits
takes 0.208 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA96ADE111E7B2CA6double-checked
PRP7E886875A0120D70verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.119867.6471%80000002500000002.37259.6908%24.492370.7823%3.1352%
PrimeNet2590.028562.7119%120002200000.00262.8420%0.031163.7716%1.0597%
GPU722630.592365.0794%140002200000.00281.6606%0.595165.6593%0.5799%
Difference+5+21.5275+2.5677%+7986000+249780000+2.3697+8.0301%+23.8972+5.1230%+5.1230%

Known prime factors (1 factor, 80.9 bits, 0.00300186% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
269464122394942215878333020006872580.889415545933871679623
47 × 101 × 87538642062709
2020-11-2410187538642062709125,942534,130997,607

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.240%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.787%
2010-12-22T11:37:00Jocelyn LaroucheManual testing2000020000---0.002--0.268%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.371%
2011-01-15T16:05:00Jocelyn LaroucheManual testing5000050000---0.006--0.537%
2011-03-05T04:31:00James Heinrichi7-9203000008000000---0.081--3.988%
2018-07-17T21:33:40Jocelyn Larouchelow 4M60000060000006---0.100--4.078%
2018-08-12T11:43:41mikrS067800000025000000012---2.373--9.691%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-30T19:26:00Sturle Sundekraus.ifi260261--0.057--
2012-05-02T06:59:00markroldgamer261262--0.114--
2013-01-14T12:26:00dbaughManual testing262263--0.364--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.729--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.387--
2016-01-27T13:46:24ramgeisManual testing265266--2.773--
2017-09-15T16:43:52Gordon SpenceManual testing266267--5.546--
2019-03-18T11:45:37TJAOIManual testing267268--11.09--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.041 GHz-days
Estimated T-Level:3.400
DigitsB1CurvesCompleteFacMiss
201100068 / 1000.68050.489%
255000068 / 2800.24378.404%

New Calculation Method

Total ECM effort:7.041 GHz-days
Estimated T-Level:3.400
DigitsB1CompleteFacMiss
20110002.19411.152%
25500000.19882.016%
302500000.01298.787%


ECM Summary

B1B2factorcurvesGHz-days
500005000000636.523
50000500000050.518


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-29T00:00:00ANONYMOUSv4_computersA96ADE111E7B2CA60.208
1999-04-23T00:00:00MadPoov4_computersA96ADE111E7B2CA60.208
2018-07-29T23:16:30kkmrkkblmbrbkoldA96ADE111E7B2CA60.208


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-24T15:35:12mrhx
2239494221587833302000687
7E886875A0120D70no


P-1 factor-bounds graph:
B1 = 8000000, B2 = 250000000 (P-1 stage 2)
B1 = 8000000 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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: 2020-11-24T15:35:12+00:00