is 2 2219801 - 1
has 668227 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-L5F6C2D3AFA0604F2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.851567.6471%2000000650000000.51797.0333%27.369469.9225%2.2755%
PrimeNet2580.017362.0690%100001800000.00182.8678%0.019163.1568%1.0878%
GPU722620.276864.5161%110001800000.00191.6299%0.278765.0945%0.5783%
Difference+6+26.5747+3.1309%+1989000+64820000+0.5160+5.4035%+27.0907+4.8281%+4.8281%

Known prime factors (1 factor, 76.5 bits, 0.00344794% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22198011096605521832223759158072476.53724700536710998503
3 × 431 × 19103276651971
2020-04-08431191032766519717,883.799,227185,329

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.227%
2010-10-12T03:39:00Oscar Östlin7501175011---0.007--0.674%
2010-12-20T10:21:00Oscar Östlin850001593750---0.016--2.175%
2014-05-26T23:57:00Jocelyn LaroucheManual testing113914113914---0.011--0.868%
2014-09-29T22:04:00Jocelyn LaroucheManual testing142828142828---0.014--0.987%
2015-04-30T06:37:00Squeeky_SquirrelP4_26001600004600000---0.038--3.136%
2015-11-19T06:48:33Alexander DubrovinManual testing100000050000006---0.116--3.982%
2015-11-19T06:48:33Alexander DubrovinManual testing150000060000006---0.166--4.273%
2015-12-19T14:31:21Alexander DubrovinManual testing20000006500000012---0.518--7.033%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:08Mark RoseManual testing258260--0.052--
2009-01-11T04:33:00Sturle Sundeginjtje.ifi260261--0.069--
2012-04-18T20:48:00Sebastian HornbostelManual testing261262--0.138--
2013-08-20T11:14:00David CampeauManual testing262263--0.442--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.884--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.683--
2015-10-23T09:34:53ramgeisManual testing265266--3.366--
2016-12-24T00:00:57Gordon SpenceManual testing266267--6.733--
2019-04-22T13:11:39TJAOIManual testing267268--13.47--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.400 GHz-days
Estimated T-Level:3.150
DigitsB1CurvesCompleteFacMiss
201100063 / 1000.63053.091%
255000063 / 2800.22579.819%

New Calculation Method

Total ECM effort:5.400 GHz-days
Estimated T-Level:3.150
DigitsB1CompleteFacMiss
20110002.03213.104%
25500000.18483.221%
302500000.01198.875%


ECM Summary

B1B2factorcurvesGHz-days
500005000000605.143
50000500000030.257


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computers5F6C2D3AFA0604F20.146
2018-04-18T19:26:09kkmrkkblmbrbkold5F6C2D3AFA0604F20.146


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-09T04:06:29mrh.orgw
109660552183222375915807
905B610A6807D90Dno
2020-04-09T22:12:19marssystemssystem03
109660552183222375915807
905B610A6807D90Dno


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1500000, B2 = 6000000 (P-1 stage 2)
B1 = 1500000 (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 = 142828 (P-1 stage 1)
B1 = 113914 (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: 2020-04-09T22:12:19+00:00