is 2 3204251 - 1
has 964576 decimal digits
takes 0.273 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
Actual26818.601867.6471%11500001164471000.91727.5885%19.519070.1021%2.4551%
PrimeNet2600.047963.3333%130002400000.00312.6581%0.051164.3080%0.9746%
GPU722641.110865.6250%160002600000.00361.6161%1.114466.1805%0.5555%
Difference+4+17.4910+2.0221%+1134000+116187100+0.9135+5.9723%+18.4045+3.9216%+3.9216%

Known prime factors (3 factors, 131.9 bits, 0.00411540% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32042516408503722.6121
1
-111.744e-131.234e-72.512e-7
3204251116691131217611443.4081820880
24 × 34 × 5 × 281
2013-12-20812814.132e-71.134e-52.034e-5
3204251664296305785806016632065.84810365859381581
32 × 11 × 19 × 463 × 11902427
2018-09-02463119024274.22590.08010.1495

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3204251747815464481447337832066.019
32042514257144868517255214991404892788.460
320425177517487385825066929208755808854333109.256
3204251496771050464522098891035099227310208112940131.868
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-05-07T05:29:21Jocelyn LaroucheManual testing32042532042516-
skipped known factor: 6408503
skipped known factor: 11669113121761
--0.059--3.368%
2022-01-06T19:16:02Jocelyn LaroucheManual testing1150000116447100-
skipped known factor: 6408503
skipped known factor: 11669113121761
skipped known factor: 66429630578580601663
--0.917--7.588%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2013-12-20T18:24:00TJAOIManual testing??43.408144.74937e-80.6021.04764e-7
2021-09-12T11:34:19Jocelyn LaroucheManual testing267268--9.329--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.235 GHz-days
Estimated T-Level:0.100
DigitsB1CurvesCompleteFacMiss
20110002 / 1000.02098.010%
25500002 / 2800.00799.287%

New Calculation Method

Total ECM effort:0.235 GHz-days
Estimated T-Level:0.100
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020.235


Lucas-Lehmer results:
No L-L results for M3204251


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-01T15:56:44Oliver KruseGTX-0
6408503
11669113121761
301077BD29A82B__no
2017-12-13T05:58:12kkmrkkblmbrbkc4.xlarge
6408503
11669113121761
301077BD29A82B__no
2018-09-02T14:50:35Oliver KruseGTX-6
6408503
11669113121761
66429630578580601663
301077BD29A82B__no


P-1 factor-bounds graph:
B1 = 1150000, B2 = 116447100 (P-1 stage 2)
B1 = 1150000 (P-1 stage 1)
B1 = 320425, B2 = 3204251 (P-1 stage 2)
B1 = 320425 (P-1 stage 1)
100
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105
106
107
100
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109
TF factor-bounds graph:
268
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-01-06T19:16:02+00:00