is 2 2816453 - 1
has 847837 decimal digits
takes 0.218 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L086BD79A8949F808double-checked
PRP74BF935E6971369Cverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.163167.6471%50000002000000001.74989.1634%22.912970.6117%2.9646%
PrimeNet2590.027362.7119%120002400000.00272.9302%0.030063.8045%1.0926%
GPU722630.566765.0794%150002600000.00321.7917%0.569965.7050%0.6257%
Difference+5+20.5964+2.5677%+4985000+199740000+1.7466+7.3717%+22.3430+4.9066%+4.9066%

Known prime factors (1 factor, 73.3 bits, 0.00260344% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2816453118281710970028674456232373.3252099834631893887
7 × 299976375984841
2021-02-077299976375984841741.951,830,3523,418,587

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.243%
2007-02-05T00:00:00markrv4_computers500001000000---0.011--1.780%
2014-04-19T13:00:00Jocelyn LaroucheManual testing6000060000---0.007--0.612%
2014-04-24T21:46:00ANONYMOUSManual testing100000100000---0.011--0.841%
2014-12-02T21:55:00Jocelyn LaroucheManual testing122789122789---0.014--0.947%
2015-05-09T21:49:00Squeeky_SquirrelP4_26001950005752500---0.056--3.513%
2016-04-22T05:22:58Jocelyn LaroucheManual testing5093421679986712---0.156--4.962%
2019-09-28T03:14:10masserManual testing28164532816453012---0.470--6.378%
2020-01-15T14:04:59masserManual testing500000020000000012---1.750--9.163%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.055--
2009-02-13T21:39:00Sturle Sundeginglo.ifi260261--0.055--
2012-02-19T04:17:00markroldgamer261262--0.109--
2013-01-10T10:21:00dbaughManual testing262263--0.349--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.697--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.327--
2016-02-12T10:12:10ramgeisManual testing265266--2.653--
2017-10-24T17:48:50Gordon SpenceManual testing266267--5.306--
2018-12-31T00:56:17chuenkitManual testing267268--10.61--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.195 GHz-days
Estimated T-Level:3.450
DigitsB1CurvesCompleteFacMiss
201100069 / 1000.69049.984%
255000069 / 2800.24678.124%

New Calculation Method

Total ECM effort:7.195 GHz-days
Estimated T-Level:3.450
DigitsB1CompleteFacMiss
20110002.6547.038%
25500000.24678.227%
302500000.01598.463%


ECM Summary

B1B2factorcurvesGHz-days
500005000000656.778
50000500000040.417


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00W. Oleinikv4_computers086BD79A8949F8080.218
2000-05-31T00:00:00ANONYMOUSv4_computers086BD79A8949F8080.218
2000-07-03T00:00:00ANONYMOUSv4_computers086BD79A8949F8080.218
2000-07-25T00:00:00ANONYMOUSv4_computers086BD79A8949F8080.218
2000-08-10T00:00:00ANONYMOUSv4_computers086BD79A8949F8080.218
2018-09-05T19:55:44kkmrkkblmbrbkold086BD79A8949F8080.218


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-07T20:13:42ViliamF3
11828171097002867445623
74BF935E6971369Cno


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2816453, B2 = 28164530 (P-1 stage 2)
B1 = 2816453 (P-1 stage 1)
B1 = 509342, B2 = 16799867 (P-1 stage 2)
B1 = 509342 (P-1 stage 1)
B1 = 195000, B2 = 5752500 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 122789 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 50000 (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: 2021-02-07T20:13:42+00:00