is 2 2222687 - 1
has 669096 decimal digits
takes 0.146 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L2387B0122AB2C195double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272430.260269.4444%57885161210039051222010,915.171419.5353%11,345.431575.4136%5.9691%
PrimeNet2580.017362.0690%100001800000.00182.8685%0.019163.1570%1.0880%
GPU722620.276464.5161%110001800000.00191.6303%0.278365.0946%0.5785%
Difference+10+429.9837+4.9283%+57874161+2100390332220+10,915.1694+17.9050%+11,345.1532+10.3189%+5.3906%

Known prime factors (1 factor, 123.8 bits, 0.00557140% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22226871896510782374852807338018724887289088938123.8354266256972697579117838046303612
22 × 107 × 293507 × 13616411 × 29435051 × 84733927
2022-10-0229435051847339277.609e+103.09355.7112

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.094%
2010-10-20T12:46:00Oscar Östlin7501175011---0.007--0.369%
2011-01-10T13:48:00Oscar Östlin850001593750---0.016--1.313%
2014-05-26T23:57:00Jocelyn LaroucheManual testing113877113877---0.011--0.490%
2014-09-29T22:04:00Jocelyn LaroucheManual testing142754142754---0.014--0.565%
2015-05-01T19:24:00Squeeky_SquirrelP4_26001600004600000---0.038--1.985%
2015-11-21T11:26:54Alexander DubrovinManual testing100000050000006---0.116--2.673%
2015-12-22T07:19:42Alexander DubrovinManual testing20000006500000012---0.518--4.974%
2022-01-25T05:15:40LaurVbutu69725936972593---0.665--3.175%
2022-01-27T21:55:25LaurVbutu6972593112580788320---585.4--13.653%
2022-02-06T10:43:55LaurVbutu5788516157885161---5.519--5.646%
2022-02-19T11:37:40LaurVbutu57885161579246627960---3,014--17.939%
2022-03-18T10:48:06LaurVbutu8258993382589933---7.874--6.125%
2022-04-15T21:27:49LaurVZero818578851612100390512220---10,915--19.535%
2022-10-02T16:55:08LaurVZero81810000000010000000038123.8359.530.29219.076.389%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:09Mark RoseManual testing21260--0.069--
2009-01-10T22:27:00Sturle Sundebuxtehude.ifi260261--0.069--
2012-04-19T05:48:00Sebastian HornbostelManual testing261262--0.138--
2013-08-20T15:20:00David CampeauManual testing262263--0.442--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.883--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.681--
2015-10-23T09:34:54ramgeisManual testing265266--3.362--
2016-12-24T00:00:58Gordon SpenceManual testing266267--6.724--
2019-04-22T13:11:39TJAOIManual testing267268--13.45--
2021-08-19T12:30:53TJAOIManual testing268269--26.90--
2022-09-09T16:18:06LaurVManual testing269270--53.79--
2022-09-09T16:18:06LaurVManual testing270271--107.6--
2022-09-09T16:18:06LaurVManual testing271272--215.2--


ECM factoring results:
Total ECM effort:83.158 GHz-days
Estimated T-Level:25.437
DigitsB1CompleteFacMiss
201100011.6200.001%
25500001.19230.374%
302500000.08791.636%
3510000000.00599.486%


ECM Summary

B1B2factorcurvesGHz-days
50000500000022919.63
500001177091912522.06
2500005509116801041.46


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06T00:00:00ANONYMOUSv4_computers2387B0122AB2C1950.146


PRP results:
dateuseridcompidcofactorsres64PRP
2022-10-04T10:13:08LordJuliusWhiteBox
18965107823748528073380187248872890889
391CA6B94D6B0D3Fno


P-1 factor-bounds graph:
B1 = 57885161, B2 = 2100390512220 (P-1 stage 2)
B1 = 57885161, B2 = 579246627960 (P-1 stage 2)
B1 = 6972593, B2 = 112580788320 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 82589933 (P-1 stage 1)
B1 = 57885161 (P-1 stage 1)
B1 = 6972593 (P-1 stage 1)
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (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 = 142754 (P-1 stage 1)
B1 = 113877 (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: 2022-10-23T06:25:13+00:00