is 2 3328427 - 1
has 1001957 decimal digits
takes 0.350 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.907867.6471%33284273390250503.29229.7180%21.200070.7911%3.1441%
PrimeNet2600.046163.3333%140002600000.00422.7827%0.050364.3537%1.0203%
GPU722641.069465.6250%170003000000.00491.7250%1.074366.2180%0.5930%
Difference+4+16.8384+2.0221%+3311427+338725050+3.2873+7.9931%+20.1257+4.5732%+4.5732%

Known prime factors (3 factors, 109.2 bits, 0.00328196% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3328427299558431928.15845
32 × 5
-991.085e-111.371e-62.789e-6
3328427479293489928.83672
23 × 32
2008-09-07991.091e-111.371e-62.789e-6
332842753300298911936871652.243800683009
7 × 19 × 6020173
2014-02-221960201730.00020.05000.0933

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
33284271435764055533557591856.995
332842715966553913890815948250972580.401
332842725546486230245126170039432581.079
332842776526653326953347408940508589343333109.238
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-07-30T02:40:58Jocelyn LaroucheManual testing33284233284276-
skipped known factor: 299558431
skipped known factor: 479293489
--0.076--3.431%
2020-09-15T20:24:02Jocelyn LaroucheManual testing33284266568546-
skipped known factor: 299558431
skipped known factor: 479293489
skipped known factor: 5330029891193687
--0.103--4.003%
2021-08-01T20:43:03Jocelyn LaroucheManual testing33284273328427-
skipped known factor: 299558431
skipped known factor: 479293489
--0.507--3.869%
2021-12-20T15:17:19Jocelyn LaroucheManual testing3328427116701200-
skipped known factor: 299558431
skipped known factor: 479293489
skipped known factor: 5330029891193687
--1.448--8.361%
2022-01-19T07:44:29Jocelyn LaroucheManual testing3328427339025050-
skipped known factor: 299558431
skipped known factor: 479293489
skipped known factor: 5330029891193687
--3.292--9.718%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-07T19:48:00Will EdgingtonManual testing??28.83691.67438e-130.7573.62365e-13
2014-02-22T18:42:00Never Odd Or EvenManual testing21026252.243160.0000.7560.000
2022-08-10T06:04:17LordJuliusManual testing2126228.15891.08486e-110.7572.34783e-11
2022-08-10T06:04:17LordJuliusManual testing2126228.83691.09114e-110.7572.36141e-11
2022-08-10T06:04:17LordJuliusManual testing2126252.243160.0000.7560.000
2022-08-10T06:04:18LordJuliusManual testing2126256.995180.0030.7510.007
2022-08-04T04:11:47J.R. AllenManual testing262263--0.295--
2022-08-10T06:04:18LordJuliusManual testing262263--0.295--
2022-08-04T04:11:47J.R. AllenManual testing263264--0.590--
2022-08-10T06:25:29LordJuliusManual testing263264--0.590--
2022-08-10T06:25:29LordJuliusManual testing264265--1.123--
2022-08-10T06:25:29LordJuliusManual testing265266--2.245--
2022-08-10T06:25:29LordJuliusManual testing266267--4.490--
2021-08-04T02:33:30Jocelyn LaroucheManual testing267268--8.981--
2022-08-10T06:25:29LordJuliusManual testing267268--8.981--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.438 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.438 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.438


Lucas-Lehmer results:
No L-L results for M3328427


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-04T14:24:50Oliver KruseGTX-3
299558431
479293489
5330029891193687
D8B8D6959DA5E1__no
2017-12-15T02:05:37kkmrkkblmbrbkc4.xlarge
299558431
479293489
5330029891193687
D8B8D6959DA5E1__no


P-1 factor-bounds graph:
B1 = 3328427, B2 = 339025050 (P-1 stage 2)
B1 = 3328427, B2 = 116701200 (P-1 stage 2)
B1 = 3328427 (P-1 stage 1)
B1 = 332842, B2 = 6656854 (P-1 stage 2)
B1 = 332842, B2 = 3328427 (P-1 stage 2)
B1 = 332842 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-08-10T06:25:29+00:00