is 2 3193339 - 1
has 961291 decimal digits
takes 0.272 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF78208A0A7974BF0double-checked
PRPD6ABBD58EFBDDFECverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.665467.6471%40000001500000001.47538.7592%20.140770.4809%2.8339%
PrimeNet2600.048163.3333%130002400000.00312.6564%0.051264.3074%0.9740%
GPU722641.114665.6250%160002600000.00361.6151%1.118266.1802%0.5552%
Difference+4+17.5508+2.0221%+3984000+149740000+1.4717+7.1441%+19.0225+4.3007%+4.3007%

Known prime factors (1 factor, 74.7 bits, 0.00233848% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3193339301679594801652070647372374.6754723576087625712
24 × 33 × 89 × 122856223669
2021-01-19891228562236691,979.2826.061,542.8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.252%
2013-01-09T14:54:00Squeeky_SquirrelT7500_22002150006235000---0.067--3.690%
2018-09-04T00:51:12Jocelyn Larouchelow 4M5203001040600---0.068--2.556%
2018-09-04T09:57:13Jocelyn Larouchelow 4M5203001560900---0.071--2.908%
2018-09-04T22:49:14Jocelyn Larouchelow 4M5203002081200---0.075--3.160%
2018-09-05T02:02:13Jocelyn Larouchelow 4M5203002601500---0.078--3.357%
2018-09-05T10:15:26Jocelyn Larouchelow 4M5203003121800---0.082--3.519%
2018-09-05T21:49:52Jocelyn Larouchelow 4M5203003642100---0.085--3.656%
2018-09-06T23:06:13Jocelyn Larouchelow 4M5203004162400---0.089--3.775%
2019-11-10T04:52:10mikrMSI400000015000000012---1.475--8.759%
2022-02-27T01:57:43Jocelyn LaroucheManual testing1000000134343300---1.020--7.629%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-06-28T00:00:00ANONYMOUSv4_computers21259--0.024--
2001-07-07T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-07T05:39:00S485122USB-Z260261--0.048--
2011-10-18T04:30:00markroldgamer261262--0.096--
2013-01-03T08:47:00dbaughManual testing262263--0.307--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.615--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.170--
2015-06-21T21:40:00ThaManual testing265266--2.340--
2017-05-01T03:37:58Gordon SpenceManual testing266267--4.680--
2018-12-24T09:14:05TJAOIManual testing267268--9.360--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.814 GHz-days
Estimated T-Level:2.050
DigitsB1CurvesCompleteFacMiss
201100041 / 1000.41066.228%
255000041 / 2800.14686.356%

New Calculation Method

Total ECM effort:4.814 GHz-days
Estimated T-Level:2.050
DigitsB1CompleteFacMiss
20110001.32326.645%
25500000.12088.733%
302500000.00799.267%


ECM Summary

B1B2factorcurvesGHz-days
500005000000222.583
500005000000192.231


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-28T00:00:00ANONYMOUSv4_computersF78208A0A7974BF00.272
1999-05-30T00:00:00Dry Creek Photov4_computersF78208A0A7974BF00.272


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-19T21:24:45MarkSdesktop-i7
30167959480165207064737
D6ABBD58EFBDDFECno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 520300, B2 = 4162400 (P-1 stage 2)
B1 = 520300, B2 = 3642100 (P-1 stage 2)
B1 = 520300, B2 = 3121800 (P-1 stage 2)
B1 = 520300, B2 = 2601500 (P-1 stage 2)
B1 = 520300, B2 = 2081200 (P-1 stage 2)
B1 = 520300, B2 = 1560900 (P-1 stage 2)
B1 = 520300, B2 = 1040600 (P-1 stage 2)
B1 = 215000, B2 = 6235000 (P-1 stage 2)
B1 = 520300 (P-1 stage 1)
B1 = 215000 (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: 2022-02-27T01:57:43+00:00