is 2 2236207 - 1
has 673166 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF970555B4A6EB266double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.654567.6471%2000000650000000.51797.0387%27.172469.9243%2.2772%
PrimeNet2580.017262.0690%100001800000.00182.8717%0.019063.1582%1.0893%
GPU722620.274764.5161%110001900000.00201.6579%0.276765.1044%0.5883%
Difference+6+26.3797+3.1309%+1989000+64810000+0.5159+5.3808%+26.8957+4.8199%+4.8199%

Known prime factors (1 factor, 71.3 bits, 0.00318834% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
223620729024713419227653458072271.298648971973954729
32 × 17 × 79 × 53691732767
2020-02-247953691732767347.53278.89520.89

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.227%
2010-11-07T12:40:00Oscar Östlin7501175011---0.007--0.675%
2011-01-14T01:54:00Oscar Östlin850001615000---0.016--2.185%
2014-06-01T23:28:00Jocelyn LaroucheManual testing113702113702---0.011--0.869%
2014-09-30T23:23:00Jocelyn LaroucheManual testing142404142404---0.014--0.987%
2015-12-01T19:51:22Alexander DubrovinManual testing100000060000006---0.121--4.166%
2016-01-09T17:14:57Alexander DubrovinManual testing20000006500000012---0.518--7.039%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:09Mark RoseManual testing258260--0.052--
2009-01-11T01:08:00Sturle Sundeghibu.ifi260261--0.069--
2012-04-27T05:47:00Sebastian HornbostelManual testing261262--0.137--
2013-12-07T03:48:00Jerry HallettManual testing262263--0.439--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.878--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.671--
2015-10-25T20:35:12ramgeisManual testing265266--3.342--
2016-12-30T02:46:28Gordon SpenceManual testing266267--6.683--
2019-04-08T13:40:38TJAOIManual testing267268--13.37--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.775 GHz-days
Estimated T-Level:2.200
DigitsB1CurvesCompleteFacMiss
201100044 / 1000.44064.261%
255000044 / 2800.15785.434%

New Calculation Method

Total ECM effort:3.775 GHz-days
Estimated T-Level:2.200
DigitsB1CompleteFacMiss
20110001.41924.187%
25500000.12887.961%
302500000.00899.213%


ECM Summary

B1B2factorcurvesGHz-days
500005000000423.603
50000500000020.172


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersF970555B4A6EB2660.147
2018-04-21T07:01:32kkmrkkblmbrbkoldF970555B4A6EB2660.147


PRP results:
dateuseridcompidcofactorsres64PRP
2020-02-24T07:27:35Christoph ZengerManual testing
2902471341922765345807
993F5A5A2E4C914Dno
2020-02-26T16:07:20ANONYMOUSobFIV_MkQmyMzMWzFMY2
2902471341922765345807
993F5A5A2E4C914Dno


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 6000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 85000, B2 = 1615000 (P-1 stage 2)
B1 = 142404 (P-1 stage 1)
B1 = 113702 (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: 2020-02-26T16:07:20+00:00