is 2 2232157 - 1
has 671947 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-L7CA9489C66D6A2EDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.702867.6471%2000000650000000.51797.0374%27.220769.9239%2.2768%
PrimeNet2580.017262.0690%100001800000.00182.8707%0.019063.1579%1.0889%
GPU722620.275264.5161%110001800000.00191.6317%0.277265.0951%0.5790%
Difference+6+26.4276+3.1309%+1989000+64820000+0.5160+5.4057%+26.9436+4.8288%+4.8288%

Known prime factors (1 factor, 71.0 bits, 0.00318188% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
223215724018936137568350334892271.025538020760581992
23 × 1873 × 35906350813
2020-04-05187335906350813360.35186.51348.34

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.227%
2010-10-26T20:48:00Oscar Östlin7501175011---0.007--0.675%
2011-01-13T19:52:00Oscar Östlin850001615000---0.016--2.185%
2014-05-26T23:57:00Jocelyn LaroucheManual testing113754113754---0.011--0.869%
2014-09-30T23:23:00Jocelyn LaroucheManual testing142508142508---0.014--0.987%
2015-11-26T09:47:45Alexander DubrovinManual testing13000001100000012---0.174--4.871%
2016-01-07T10:33:51Alexander DubrovinManual testing20000006500000012---0.518--7.037%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:09Mark RoseManual testing258260--0.052--
2009-01-11T02:35:00Sturle Sundemorovan.ifi260261--0.069--
2012-04-20T16:47:00Sebastian HornbostelManual testing261262--0.138--
2013-01-23T08:24:00dbaughManual testing262263--0.440--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.880--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.674--
2015-10-25T20:35:10ramgeisManual testing265266--3.348--
2016-12-24T00:01:01Gordon SpenceManual testing266267--6.696--
2019-04-15T13:43:05TJAOIManual testing267268--13.39--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.069 GHz-days
Estimated T-Level:23.554
DigitsB1CurvesCompleteFacMiss
2011000199 / 1001.99013.533%
2550000199 / 2800.71149.067%

New Calculation Method

Total ECM effort:17.069 GHz-days
Estimated T-Level:23.554
DigitsB1CompleteFacMiss
20110006.4190.163%
25500000.58055.980%
302500000.03696.490%
3510000000.00299.837%


ECM Summary

B1B2factorcurvesGHz-days
500005000000574.889
50000500000014212.18


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computers7CA9489C66D6A2ED0.147
2018-04-20T15:07:56kkmrkkblmbrbkold7CA9489C66D6A2ED0.147


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-05T14:41:27Christoph ZengerManual testing
2401893613756835033489
931F1E2E4D4AD38Bno
2020-04-08T14:26:40Chang Chia-Tcheexbbbe-lt
2401893613756835033489
931F1E2E4D4AD38Bno


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1300000, B2 = 11000000 (P-1 stage 2)
B1 = 1300000 (P-1 stage 1)
B1 = 85000, B2 = 1615000 (P-1 stage 2)
B1 = 142508 (P-1 stage 1)
B1 = 113754 (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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1010
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TF factor-bounds graph:
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Last modified: 2020-04-08T14:26:40+00:00