is 2 1926359 - 1
has 579892 decimal digits
takes 0.105 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
Actual26715.424968.6567%500000150000000.10155.1000%15.526470.2552%1.5985%
PrimeNet2570.010063.1579%90001700000.00143.0947%0.011464.2980%1.1402%
GPU722610.159565.5738%110001700000.00151.8141%0.161066.1983%0.6245%
Difference+6+15.2655+3.0829%+489000+14830000+0.0999+3.2859%+15.3654+4.0569%+4.0569%

Known prime factors (3 factors, 154.6 bits, 0.00802616% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
192635934674463825.0479
32
-992.325e-127.080e-71.441e-6
1926359977316701956391446.47425366941
32 × 17 × 37 × 4481
2014-02-133744818.175e-62.196e-53.586e-5
1926359103041258241145421617851032683.0912674508184641217489
3 × 59 × 15110215732436257
2020-11-0259151102157324362572,022,59464,758,607120,951,044

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
192635933887931821268872668572271.521
192635935729002963560419995075756792468933108.139
1926359100703942669672934886061321130148576581740129.565
19263593491855134053695402808142495258455003184823127147154.613
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:19:05alpertronManual testing5000001500000012-
skipped known factor: 34674463
skipped known factor: 97731670195639
--0.101--5.100%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-02-13T14:29:00TJAOIManual testing??46.474143.30851e-60.2237.04717e-6


ECM factoring results:

Old Calculation Method

Total ECM effort:19.135 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:19.135 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.5190.020%
25500000.77246.228%
302500000.04895.341%
3510000000.00299.781%


ECM Summary

B1B2factorcurvesGHz-days
500005000000594.099
50000500000020.139
50000660000019014.90


Lucas-Lehmer results:
No L-L results for M1926359


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T23:53:02Oliver KruseGTX-1
34674463
97731670195639
AF83BD373A132D__no
2017-11-10T07:01:14ATHec2-1xf
34674463
97731670195639
AF83BD373A132D__no
2020-11-02T16:06:31Oliver KruseIOS-5
34674463
97731670195639
10304125824114542161785103
1E6EF1F2CD658C__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
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104
105
106
100
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1010
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1016
1017
TF factor-bounds graph:
267
2
220
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2100
Last modified: 2022-03-10T10:40:47+00:00