is 2 2643331 - 1
has 795722 decimal digits
takes 0.204 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7144128EC59E9F45double-checked
PRP651F16243C53FE90verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.549267.6471%2000000500000000.51696.8561%23.066069.8652%2.2182%
PrimeNet2590.029162.7119%110002000000.00242.7031%0.031463.7198%1.0079%
GPU722630.603865.0794%130002000000.00261.5740%0.606465.6290%0.5496%
Difference+5+21.9454+2.5677%+1987000+49800000+0.5143+5.2821%+22.4596+4.2362%+4.2362%

Known prime factors (1 factor, 79.6 bits, 0.00301238% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26433319336629695343357979473692479.627176607274975085564
22 × 4111 × 10739921854481
2021-03-0141111073992185448153,97765,531122,394

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.239%
2009-06-22T00:39:00harleeP4_260030000420000---0.006--1.206%
2011-01-18T17:58:00James Heinrichi7-9201800004320000---0.045--3.235%
2016-12-26T22:14:24Jocelyn Larouchelow 4M171988171988---0.019--1.126%
2016-12-28T03:20:10Jocelyn Larouchelow 4M206385206385---0.023--1.238%
2017-05-08T05:55:53Jocelyn Larouchelow 4M36000036000006---0.060--3.422%
2019-11-27T21:19:22masserManual testing20000005000000012---0.517--6.856%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:18Mark RoseManual testing259260--0.029--
2009-01-26T16:24:00Sturle Sundeghini.ifi260261--0.058--
2012-06-04T22:40:00Grant McCrackenthumper261262--0.116--
2013-01-14T11:57:00dbaughManual testing262263--0.371--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.743--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.414--
2016-01-21T23:03:48ramgeisManual testing265266--2.827--
2017-09-08T08:21:16Gordon SpenceManual testing266267--5.654--
2019-03-04T13:44:29TJAOIManual testing267268--11.31--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.601 GHz-days
Estimated T-Level:4.650
DigitsB1CurvesCompleteFacMiss
201100093 / 1000.93039.271%
255000093 / 2800.33271.696%

New Calculation Method

Total ECM effort:9.601 GHz-days
Estimated T-Level:4.650
DigitsB1CompleteFacMiss
20110003.5772.796%
25500000.33171.823%
302500000.02197.934%


ECM Summary

B1B2factorcurvesGHz-days
500005000000909.291
50000500000030.310


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23T00:00:00ANONYMOUSv4_computers7144128EC59E9F450.204
2018-07-13T17:35:06kkmrkkblmbrbkold7144128EC59E9F450.204


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-01T15:07:31mrhw
933662969534335797947369
651F16243C53FE90no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 360000, B2 = 3600000 (P-1 stage 2)
B1 = 180000, B2 = 4320000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 206385 (P-1 stage 1)
B1 = 180000 (P-1 stage 1)
B1 = 171988 (P-1 stage 1)
B1 = 30000, B2 = 420000 (P-1 stage 2)
B1 = 30000 (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: 2021-03-01T15:07:31+00:00