is 2 2095081 - 1
has 630683 decimal digits
takes 0.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L767EF3478036548Ddouble-checked
PRPF2C3AB5340040660verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.449969.1176%25000001250000000.87467.8965%29.324671.5563%2.4386%
PrimeNet2580.018363.7931%90001600000.00162.6766%0.020064.7622%0.9691%
GPU722620.293266.1290%90001400000.00151.4010%0.294866.6036%0.4745%
Difference+6+28.1567+2.9886%+2491000+124860000+0.8731+6.4955%+29.0298+4.9527%+4.9527%

Known prime factors (1 factor, 80.5 bits, 0.00384020% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
209508116575781323914162806580872580.455395588078072259803
211 × 271 × 6918173485463
2020-08-182716918173485463205,49635,93567,116

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.223%
2009-07-27T06:36:00harleeP4_260020000260000---0.003--0.876%
2010-12-28T23:08:00Jocelyn LaroucheManual testing3000030000---0.003--0.351%
2011-01-09T14:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.510%
2011-01-22T09:53:00James HeinrichQ66001400003150000---0.029--2.794%
2016-07-27T10:56:35Jocelyn LaroucheManual testing186340630000012---0.050--3.411%
2016-11-05T16:28:43Jocelyn Larouchelow 4M223608223608---0.021--1.240%
2016-11-10T03:36:30Jocelyn Larouchelow 4M268329268329---0.026--1.358%
2017-05-24T12:30:58mikrMSI250000012500000012---0.875--7.896%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-02T20:11:00Sturle Sundenardi.ifi260261--0.073--
2012-03-23T22:48:00Sebastian HornbostelManual testing261262--0.147--
2013-09-03T09:36:00ramgeisManual testing262263--0.469--
2015-04-10T15:56:00VictordeHollanderManual testing263264--0.937--
2015-04-10T15:56:00VictordeHollanderManual testing264265--1.783--
2015-11-02T09:33:36ramgeisManual testing265266--3.567--
2016-09-22T02:15:58Gordon SpenceManual testing266267--7.134--
2019-04-01T03:15:25chuenkitManual testing267268--14.27--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.038 GHz-days
Estimated T-Level:22.107
DigitsB1CurvesCompleteFacMiss
2011000118 / 1001.18030.546%
2550000118 / 2800.42165.561%

New Calculation Method

Total ECM effort:10.038 GHz-days
Estimated T-Level:22.107
DigitsB1CompleteFacMiss
20110004.5381.069%
25500000.42065.709%
302500000.02697.386%
3510000000.00199.876%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001179.95
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers767EF3478036548D0.138
2017-06-13T00:00:29kkmrkkblmbrbkc4.large767EF3478036548D0.138


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-19T00:37:15CrypticCluecruncher
1657578132391416280658087
F2C3AB5340040660no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 186340, B2 = 6300000 (P-1 stage 2)
B1 = 140000, B2 = 3150000 (P-1 stage 2)
B1 = 268329 (P-1 stage 1)
B1 = 223608 (P-1 stage 1)
B1 = 186340 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (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: 2020-08-27T00:33:33+00:00