is 2 3166169 - 1
has 953112 decimal digits
takes 0.269 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2493345E9C395ECCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.825667.6471%30000001000000001.02248.0646%19.848070.2562%2.6091%
PrimeNet2600.048563.3333%130002400000.00312.6523%0.051664.3059%0.9725%
GPU722641.124265.6250%150002600000.00351.5815%1.127766.1687%0.5437%
Difference+4+17.7014+2.0221%+2985000+99740000+1.0189+6.4831%+18.7203+4.0875%+4.0875%

Known prime factors (1 factor, 101.2 bits, 0.00319713% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3166169296626056300717803858325341412731101.226468430548559975484344527
3 × 156143516186658494781509
2021-03-0131561435161866584947815095.462e+101.050e+151.961e+15

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.252%
2009-07-03T00:44:00Carsten Kossendeyleela15000191250---0.003--0.781%
2011-09-09T17:39:00Squeeky_SquirrelT7500_220060000960000---0.013--1.876%
2014-06-01T23:28:00Jocelyn LaroucheManual testing8027280272---0.010--0.753%
2014-09-25T21:11:00Jocelyn LaroucheManual testing100544100544---0.012--0.862%
2015-08-12T02:38:00Jocelyn LaroucheManual testing433871433871---0.054--1.811%
2015-11-07T02:57:28Jocelyn LaroucheManual testing551966551966---0.068--2.009%
2015-11-30T10:40:51HBendtzManual testing5000001200000012---0.139--4.711%
2019-07-31T18:17:18mikrMSI300000010000000012---1.022--8.065%
2022-02-22T08:54:59Jocelyn LaroucheManual testing1000000134343300---1.020--7.622%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-12-21T00:00:00ANONYMOUSv4_computers21259--0.024--
2001-06-30T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-10T19:14:00S485122USB-Z260261--0.049--
2011-10-31T15:26:00Grant McCrackenthumper261262--0.097--
2013-01-07T14:05:00dbaughManual testing262263--0.310--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.620--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.180--
2015-06-17T10:00:00ThaManual testing265266--2.360--
2017-04-23T17:24:20Gordon SpenceManual testing266267--4.720--
2019-01-21T12:54:06TJAOIManual testing267268--9.441--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.455 GHz-days
Estimated T-Level:1.900
DigitsB1CurvesCompleteFacMiss
201100038 / 1000.38068.255%
255000038 / 2800.13687.288%

New Calculation Method

Total ECM effort:4.455 GHz-days
Estimated T-Level:1.900
DigitsB1CompleteFacMiss
20110001.22629.352%
25500000.11189.513%
302500000.00799.320%


ECM Summary

B1B2factorcurvesGHz-days
500005000000364.221
50000500000020.234


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-21T00:00:00ANONYMOUSv4_computers2493345E9C395ECC0.269
1999-08-31T00:00:00ANONYMOUSv4_computers2493345E9C395ECC0.269


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-03T14:54:27-Anonymous-
2966260563007178038583253414127
AC093CF8D13815__no
2021-04-04T13:05:29ATH5960X
2966260563007178038583253414127
AC093CF8D138151Bno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 500000, B2 = 12000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 551966 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 433871 (P-1 stage 1)
B1 = 60000, B2 = 960000 (P-1 stage 2)
B1 = 100544 (P-1 stage 1)
B1 = 80272 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (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: 2022-02-22T08:54:59+00:00