is 2 3345091 - 1
has 1006973 decimal digits
takes 0.351 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
Actual26817.818667.6471%14690181116423001.13787.7634%18.956570.1587%2.5117%
PrimeNet2600.045963.3333%140002600000.00422.7852%0.050164.3546%1.0212%
GPU722641.064065.6250%180003000000.00511.7549%1.069166.2282%0.6032%
Difference+4+16.7546+2.0221%+1451018+111342300+1.1328+6.0085%+17.8873+3.9305%+3.9305%

Known prime factors (2 factors, 79.0 bits, 0.00236294% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
334509160211639825.8449
32
-991.339e-121.371e-62.789e-6
3345091103391642479206311753.1991545423465
3 × 5 × 3413 × 30187
2014-09-103413301870.00040.00070.0011

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
33450916225380252575035344242092479.043
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-03-10T11:45:14Jocelyn LaroucheManual testing33450936796006-
skipped known factor: 60211639
skipped known factor: 10339164247920631
--0.079--3.518%
2021-03-10T15:34:12Jocelyn LaroucheManual testing33450970246916-
skipped known factor: 60211639
skipped known factor: 10339164247920631
--0.106--4.054%
2022-01-06T11:34:21Jocelyn LaroucheManual testing1469018111642300-
skipped known factor: 60211639
skipped known factor: 10339164247920631
--1.138--7.763%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-09-10T11:32:00TJAOIManual testing253254*53.199178.73486e-50.7590.000
2022-08-10T06:25:29LordJuliusManual testing2126253.199170.0000.7590.001
2022-08-10T06:25:29LordJuliusManual testing2126225.84481.33891e-120.7602.89566e-12
2022-08-10T06:25:29LordJuliusManual testing262263--0.293--
2022-08-10T06:25:29LordJuliusManual testing263264--0.587--
2022-08-10T06:25:29LordJuliusManual testing264265--1.117--
2022-08-10T06:25:29LordJuliusManual testing265266--2.234--
2022-08-10T06:25:29LordJuliusManual testing266267--4.468--
2021-10-20T10:52:33Jocelyn LaroucheManual testing267268--8.936--
2022-08-10T06:25:29LordJuliusManual testing267268--8.936--


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 M3345091


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T05:56:28kkmrkkblmbrbkold
60211639
10339164247920631
A757A71DA97837__no
2017-11-20T08:27:13Oliver KruseThreadripper
60211639
10339164247920631
A757A71DA97837__no


P-1 factor-bounds graph:
B1 = 1469018, B2 = 111642300 (P-1 stage 2)
B1 = 1469018 (P-1 stage 1)
B1 = 334509, B2 = 7024691 (P-1 stage 2)
B1 = 334509, B2 = 3679600 (P-1 stage 2)
B1 = 334509 (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