is 2 3190751 - 1
has 960512 decimal digits
takes 0.272 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
Actual26937.416568.1159%10500001199121000.92886.9188%38.345370.3219%2.2060%
PrimeNet2600.048163.3333%130002400000.00312.6560%0.051364.3072%0.9739%
GPU722641.115565.6250%150002600000.00351.5839%1.119066.1695%0.5445%
Difference+5+36.3010+2.4909%+1035000+119652100+0.9253+5.3349%+37.2263+4.1525%+4.1525%

Known prime factors (3 factors, 101.5 bits, 0.00318205% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31907516381503722.6051
1
-111.752e-131.234e-72.512e-7
3190751240518810391134.4853769
3769
2008-09-07137691.302e-92.546e-54.728e-5
3190751238734542420811444.4403741040
24 × 5 × 101 × 463
2008-09-301014631.285e-61.490e-52.537e-5

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
31907511534871510060216171857.091
31907511523485198662026277432167.046
31907515742014814205421198021592478.926
3190751366426847628963379914383706497731101.531
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-05-31T12:06:02Jocelyn LaroucheManual testing31907531907516-
skipped known factor: 6381503
skipped known factor: 24051881039
skipped known factor: 23873454242081
--0.059--3.021%
2022-01-11T12:02:43Jocelyn LaroucheManual testing1050000119912100-
skipped known factor: 6381503
skipped known factor: 24051881039
skipped known factor: 23873454242081
--0.929--6.919%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:46:00markrManual testing??44.440145.50079e-70.5991.21428e-6
2008-09-07T19:44:00Will EdgingtonManual testing??34.485115.85160e-100.5991.29173e-9
2021-07-21T11:07:54Jocelyn LaroucheManual testing267268--9.368--
2021-11-14T23:34:13Jocelyn LaroucheManual testing268269--18.74--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.352 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.352 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.352


Lucas-Lehmer results:
No L-L results for M3190751


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-01T08:46:21Oliver KruseGTX-3
6381503
24051881039
23873454242081
F960CC30DAEA78__no
2017-12-13T01:37:45kkmrkkblmbrbkc4.xlarge
6381503
24051881039
23873454242081
F960CC30DAEA78__no


P-1 factor-bounds graph:
B1 = 1050000, B2 = 119912100 (P-1 stage 2)
B1 = 1050000 (P-1 stage 1)
B1 = 319075, B2 = 3190751 (P-1 stage 2)
B1 = 319075 (P-1 stage 1)
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100
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TF factor-bounds graph:
269
268
2
220
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260
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290
2100
Last modified: 2022-01-11T12:02:43+00:00