is 2 2226251 - 1
has 670169 decimal digits
takes 0.146 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9D73BD56C0ABA470double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.773767.6471%2000000650000000.51797.0355%27.291669.9232%2.2762%
PrimeNet2580.017262.0690%100001800000.00182.8693%0.019163.1573%1.0884%
GPU722620.276064.5161%110001800000.00191.6308%0.277965.0948%0.5787%
Difference+6+26.4977+3.1309%+1989000+64820000+0.5160+5.4047%+27.0137+4.8284%+4.8284%

Known prime factors (1 factor, 78.5 bits, 0.00352418% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22262514149019515636664061512872478.45793184001166909393
32 × 13 × 103 × 7732470431243
2020-07-02103773247043124348,40740,16475,016

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.227%
2010-10-22T06:48:00Oscar Östlin7501175011---0.007--0.675%
2011-01-13T02:16:00Oscar Östlin850001593750---0.016--2.176%
2014-05-26T23:57:00Jocelyn LaroucheManual testing113831113831---0.011--0.869%
2014-09-29T22:04:00Jocelyn LaroucheManual testing142662142662---0.014--0.987%
2015-05-04T02:45:00Squeeky_SquirrelP4_26001600004600000---0.038--3.137%
2015-11-22T12:09:30Alexander DubrovinManual testing100000050000006---0.116--3.984%
2015-11-22T12:09:30Alexander DubrovinManual testing160000070000006---0.181--4.455%
2015-12-25T17:48:45Alexander DubrovinManual testing20000006500000012---0.518--7.035%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:09Mark RoseManual testing258260--0.052--
2009-01-10T23:50:00Sturle Sundehummel.ifi260261--0.069--
2012-04-19T19:48:00Sebastian HornbostelManual testing261262--0.138--
2013-12-03T17:40:00LaurVManual testing262263--0.441--
2015-03-06T11:16:00VictordeHollanderManual testing263264--0.882--
2015-03-06T11:16:00VictordeHollanderManual testing264265--1.678--
2015-10-25T20:35:09ramgeisManual testing265266--3.357--
2016-12-24T00:00:59Gordon SpenceManual testing266267--6.713--
2019-04-15T13:43:07TJAOIManual testing267268--13.43--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.031 GHz-days
Estimated T-Level:4.100
DigitsB1CurvesCompleteFacMiss
201100082 / 1000.82043.862%
255000082 / 2800.29374.574%

New Calculation Method

Total ECM effort:7.031 GHz-days
Estimated T-Level:4.100
DigitsB1CompleteFacMiss
20110002.6457.099%
25500000.23978.736%
302500000.01598.539%


ECM Summary

B1B2factorcurvesGHz-days
500005000000796.774
50000500000030.257


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computers9D73BD56C0ABA4700.146
2018-04-19T22:38:31kkmrkkblmbrbkold9D73BD56C0ABA4700.146


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-04T18:13:10atrenchDesktop
414901951563666406151287
98DE456652291B41no
2020-08-12T17:13:55Justine V.Gible_Desktop_1
414901951563666406151287
98DE456652291B41no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1600000, B2 = 7000000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 1000000, B2 = 5000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 160000, B2 = 4600000 (P-1 stage 2)
B1 = 85000, B2 = 1593750 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 142662 (P-1 stage 1)
B1 = 113831 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (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: 2020-08-12T17:13:55+00:00