is 2 3296281 - 1
has 992280 decimal digits
takes 0.346 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3822F961CB716E1Ddouble-checked
PRPC88082348D257810verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.082567.6471%3000000900000001.17877.9644%19.261270.2238%2.5767%
PrimeNet2600.046663.3333%140002600000.00422.7779%0.050864.3519%1.0186%
GPU722641.079865.6250%170003000000.00491.7218%1.084766.2169%0.5919%
Difference+4+17.0027+2.0221%+2983000+89700000+1.1738+6.2426%+18.1765+4.0069%+4.0069%

Known prime factors (1 factor, 103.9 bits, 0.00315170% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32962811877713898377718721065472310972932103.8892848230928093992473738544
24 × 3 × 59338144335291509869553
2021-03-2916593381443352915098695534.411e+104.923e+149.196e+14

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-10T06:12:00Carsten Kossendeydurandal15000191250---0.004--0.787%
2011-09-27T12:41:00harleeP4_2600600001065000---0.017--1.940%
2013-09-09T12:05:00Squeeky_SquirrelP4_26001150002645000---0.039--2.768%
2017-01-19T17:19:03Jocelyn Larouchelow 4M138000138000---0.021--1.039%
2017-01-30T01:30:46Jocelyn Larouchelow 4M165600165600---0.025--1.146%
2017-02-04T18:42:57Jocelyn Larouchelow 4M198720198720---0.030--1.260%
2017-02-20T00:23:33Jocelyn Larouchelow 4M23846423846406---0.054--3.032%
2020-02-10T14:26:23BigBrotherWinston30000009000000012---1.179--7.964%
2022-03-17T22:28:19Jocelyn LaroucheManual testing1000000134343300---1.259--7.654%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-27T00:00:00mhoneyv4_computers21259--0.023--
2001-08-26T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-01T15:39:00S485122USB-Z260261--0.047--
2011-10-05T18:28:00Grant McCrackenthumper261262--0.093--
2012-12-30T00:07:00dbaughManual testing262263--0.298--
2012-12-30T11:41:00lycornManual testing262264--0.893--
2013-10-25T11:51:00David CampeauManual testing264265--1.134--
2015-07-02T14:57:00ThaManual testing265266--2.267--
2017-04-08T22:45:38Gordon SpenceManual testing266267--4.534--
2018-11-05T15:44:32TJAOIManual testing267268--9.068--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.518 GHz-days
Estimated T-Level:1.550
DigitsB1CurvesCompleteFacMiss
201100031 / 1000.31073.230%
255000031 / 2800.11189.502%

New Calculation Method

Total ECM effort:4.518 GHz-days
Estimated T-Level:1.550
DigitsB1CompleteFacMiss
20110001.00036.788%
25500000.09091.358%
302500000.00699.445%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.226
50000500000020.291


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-27T00:00:00mhoneyv4_computers3822F961CB716E1D0.346
1999-06-26T00:00:00MadPoov4_computers3822F961CB716E1D0.346


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-31T04:54:17Joe S.VMWare3
18777138983777187210654723109729
C88082348D257810no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 238464, B2 = 2384640 (P-1 stage 2)
B1 = 115000, B2 = 2645000 (P-1 stage 2)
B1 = 238464 (P-1 stage 1)
B1 = 198720 (P-1 stage 1)
B1 = 165600 (P-1 stage 1)
B1 = 138000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 60000, B2 = 1065000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-17T22:28:19+00:00