is 2 2221229 - 1
has 668657 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-L71F6E2779B19D8BDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.834267.6471%2000000650000000.51797.0338%27.352169.9227%2.2756%
PrimeNet2580.017362.0690%100001800000.00182.8681%0.019163.1569%1.0879%
GPU722620.276664.5161%110001800000.00191.6301%0.278565.0945%0.5784%
Difference+6+26.5576+3.1309%+1989000+64820000+0.5160+5.4037%+27.0736+4.8282%+4.8282%

Known prime factors (1 factor, 76.1 bits, 0.00342409% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2221229785906204567883258092232376.05717690796504274959
33 × 13 × 181 × 278459279789
2020-02-131812784592797897,216.51,446.42,701.4

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.227%
2010-10-13T16:44:00Oscar Östlin7501175011---0.007--0.674%
2011-01-01T18:25:00Oscar Östlin850001593750---0.016--2.176%
2014-05-26T23:57:00Jocelyn LaroucheManual testing113896113896---0.011--0.868%
2014-09-29T22:04:00Jocelyn LaroucheManual testing142792142792---0.014--0.987%
2015-05-01T01:56:00Squeeky_SquirrelP4_26001600004600000---0.038--3.136%
2015-11-19T06:48:34Alexander DubrovinManual testing100000050000006---0.116--3.983%
2015-11-19T06:48:35Alexander DubrovinManual testing1000000100000006---0.142--4.670%
2015-12-20T16:44:20Alexander DubrovinManual testing20000006500000012---0.518--7.034%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:09Mark RoseManual testing258260--0.052--
2009-01-11T02:58:00Sturle Sundebach.ifi260261--0.069--
2012-04-19T00:48:00Sebastian HornbostelManual testing261262--0.138--
2013-01-23T08:23:00dbaughManual testing262263--0.442--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.884--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.682--
2015-10-23T09:34:54ramgeisManual testing265266--3.364--
2016-03-15T15:38:09YxinityManual testing266267--6.728--
2019-04-22T13:11:39TJAOIManual testing267268--13.46--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.514 GHz-days
Estimated T-Level:2.050
DigitsB1CurvesCompleteFacMiss
201100041 / 1000.41066.228%
255000041 / 2800.14686.356%

New Calculation Method

Total ECM effort:3.514 GHz-days
Estimated T-Level:2.050
DigitsB1CompleteFacMiss
20110001.32326.645%
25500000.12088.733%
302500000.00799.267%


ECM Summary

B1B2factorcurvesGHz-days
500005000000403.429
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers71F6E2779B19D8BD0.146
2018-04-19T01:07:55kkmrkkblmbrbkold71F6E2779B19D8BD0.146


PRP results:
dateuseridcompidcofactorsres64PRP
2020-02-14T09:21:02Jinyuan WangManual testing
78590620456788325809223
A1C06329E81DD0B8no
2020-02-16T14:52:44Bommer2600X
78590620456788325809223
A1C06329E81DD0B8no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 10000000 (P-1 stage 2)
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 = 142792 (P-1 stage 1)
B1 = 113896 (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: 2020-02-16T14:52:44+00:00