is 2 2906741 - 1
has 875017 decimal digits
takes 0.225 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8517045C752E8B29double-checked
PRP584AC333BFDDE339verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.505767.6471%50000002000000001.74989.1900%22.255570.6203%2.9732%
PrimeNet2590.026462.7119%130002400000.00283.0034%0.029363.8318%1.1199%
GPU722630.549165.0794%160003000000.00351.9098%0.552665.7463%0.6669%
Difference+5+19.9567+2.5677%+4984000+199700000+1.7463+7.2802%+21.7029+4.8740%+4.8740%

Known prime factors (1 factor, 74.2 bits, 0.00255218% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2906741214765512954743618992872374.1853694266413050623
3 × 521 × 2363574160621
2020-12-3052123635741606212,069.214,42226,936

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-02T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.245%
2009-08-13T12:59:00Carsten Kossendeydurandal15000168750---0.003--0.736%
2010-12-24T02:50:00Jocelyn LaroucheManual testing2000020000---0.002--0.273%
2011-01-28T17:32:00markrtiny1050002283750---0.025--2.580%
2015-04-25T17:32:00VictordeHollanderManual testing100000020000000---0.228--5.534%
2020-03-23T02:09:32masserManual testing500000020000000012---1.750--9.190%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:24Mark RoseManual testing21260--0.053--
2009-02-14T18:44:00Sturle Sundeklughardt.ifi260261--0.053--
2011-12-12T11:46:00Grant McCrackenthumper261262--0.106--
2013-01-07T13:47:00dbaughManual testing262263--0.338--
2015-04-25T17:15:00VictordeHollanderManual testing263264--0.675--
2015-04-25T17:15:00VictordeHollanderManual testing264265--1.285--
2016-02-22T09:35:50ramgeisManual testing265266--2.571--
2017-11-19T23:57:48Gordon SpenceManual testing266267--5.142--
2018-12-17T01:16:49chuenkitManual testing267268--10.28--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.822 GHz-days
Estimated T-Level:2.300
DigitsB1CurvesCompleteFacMiss
201100046 / 1000.46062.982%
255000046 / 2800.16484.825%

New Calculation Method

Total ECM effort:4.822 GHz-days
Estimated T-Level:2.300
DigitsB1CompleteFacMiss
20110001.48422.676%
25500000.13487.449%
302500000.00899.178%


ECM Summary

B1B2factorcurvesGHz-days
500005000000424.403
50000500000040.419


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computers8517045C752E8B290.225
2018-10-01T20:47:56kkmrkkblmbrbkold8517045C752E8B290.225


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-30T18:46:29mrhx
21476551295474361899287
584AC333BFDDE339no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 168750 (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: 2020-12-30T18:46:29+00:00