is 2 2925817 - 1
has 880759 decimal digits
takes 0.226 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD2E75CCA32F0934Cdouble-checked
PRP64643352946D0A09verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26940.804668.1159%1000000200000000.22795.0508%41.032569.7263%1.6104%
PrimeNet2590.026262.7119%130002600000.00303.0691%0.029263.8563%1.1444%
GPU722630.545565.0794%170003000000.00361.9446%0.549165.7584%0.6791%
Difference+6+40.2591+3.0366%+983000+19700000+0.2243+3.1062%+40.4834+3.9679%+3.9679%

Known prime factors (1 factor, 81.8 bits, 0.00279659% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
292581742780406359786385731264732581.823731084793747975108
22 × 32 × 13 × 31 × 50391838554451
2021-07-163150391838554451177,818307,474574,275

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.198%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.120%
2010-11-12T22:32:00markrtiny1050002283750---0.025--2.294%
2015-04-27T09:55:00VictordeHollanderManual testing100000020000000---0.228--5.051%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:24Mark RoseManual testing21260--0.052--
2009-02-14T09:09:00Sturle Sundehaydn.ifi260261--0.052--
2012-01-08T15:38:00markroldgamer261262--0.105--
2013-01-07T13:49:00dbaughManual testing262263--0.336--
2015-04-25T17:16:00VictordeHollanderManual testing263264--0.671--
2015-04-25T17:16:00VictordeHollanderManual testing264265--1.277--
2016-02-23T09:49:03ramgeisManual testing265266--2.554--
2017-11-22T00:30:13Gordon SpenceManual testing266267--5.108--
2018-12-20T02:16:12chuenkitManual testing267268--10.22--
2021-05-31T09:33:02TJAOIManual testing268269--20.43--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.032 GHz-days
Estimated T-Level:4.250
DigitsB1CurvesCompleteFacMiss
201100085 / 1000.85042.559%
255000085 / 2800.30473.778%

New Calculation Method

Total ECM effort:9.032 GHz-days
Estimated T-Level:4.250
DigitsB1CompleteFacMiss
20110002.7586.345%
25500000.25077.915%
302500000.01598.474%


ECM Summary

B1B2factorcurvesGHz-days
500005000000747.766
50000500000040.420
50000675000070.847


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06T00:00:00Massimo Cappelli (ik5pwa)v4_computersD2E75CCA32F0934C0.226
2018-10-06T06:12:17kkmrkkblmbrbkoldD2E75CCA32F0934C0.226


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-16T11:39:33SRJ2877LTOS
4278040635978638573126473
64643352946D0A09no


P-1 factor-bounds graph:
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 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-07-16T11:39:33+00:00