is 2 2244611 - 1
has 675696 decimal digits
takes 0.148 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3D4A25B3FB415CBFdouble-checked
PRPDCE5A49D01825CC7PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.554767.6471%36772551287039151.00008.2278%27.554770.3090%2.6619%
PrimeNet2580.017162.0690%100001800000.00182.8737%0.018963.1590%1.0900%
GPU722620.273764.5161%110001900000.00201.6592%0.275765.1049%0.5887%
Difference+6+26.2810+3.1309%+3666255+128513915+0.9980+6.5686%+27.2790+5.2041%+2.0732%

Known prime factors (1 factor, 73.0 bits, 0.00325003% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
224461191259661927264097413532272.9502032861416237916
22 × 11 × 222163 × 207961703
2021-06-15222163207961703848.141.10022.0175

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-03T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.228%
2010-11-11T11:52:00Jocelyn LaroucheManual testing3000030000---0.003--0.357%
2011-01-07T05:18:00markrtiny1000002075000---0.020--2.402%
2014-08-25T00:29:00ANONYMOUSManual testing128595128595---0.012--0.933%
2015-12-05T07:06:24Alexander DubrovinManual testing10000001000000012---0.142--4.676%
2020-11-04T10:19:56GdSManual testing367725512870391512---1.000--8.228%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:09Mark RoseManual testing258260--0.051--
2009-01-10T19:16:00Sturle Sundegibsy.ifi260261--0.068--
2012-05-03T11:48:00Sebastian HornbostelManual testing261262--0.137--
2013-12-04T02:15:00LaurVManual testing262263--0.437--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.875--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.665--
2015-10-26T11:50:58ramgeisManual testing265266--3.329--
2017-01-05T21:20:48Gordon SpenceManual testing266267--6.658--
2019-04-01T13:34:47TJAOIManual testing267268--13.32--


ECM factoring results:
Total ECM effort:13.653 GHz-days
Estimated T-Level:22.830
DigitsB1CompleteFacMiss
20110006.1150.221%
25500000.56656.783%
302500000.03696.493%
3510000000.00299.833%


ECM Summary

B1B2factorcurvesGHz-days
50000500000015513.30
50000515000040.348


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computers3D4A25B3FB415CBF0.148
2018-04-22T09:25:15kkmrkkblmbrbkold3D4A25B3FB415CBF0.148


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-15T19:59:00RichD0Linux-5
9125966192726409741353
DCE5A49D01825CC7no


P-1 factor-bounds graph:
B1 = 3677255, B2 = 128703915 (P-1 stage 2)
B1 = 3677255 (P-1 stage 1)
B1 = 1000000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 128595 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (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: 2021-06-15T19:59:00+00:00