is 2 319399 - 1
has 96149 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1C10037382DDB10Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26793.030771.6418%1500000013050000000.879411.1937%93.910174.8161%3.1743%
PrimeNet2400.000052.5000%3200900000.000115.6987%0.000159.9569%7.4569%
GPU722440.000056.8182%55001500000.000111.4952%0.000161.7820%4.9638%
Difference+23+93.0307+14.8236%+14994500+1304850000+0.8792-0.3015%+93.9099+13.0341%+13.0341%

Known prime factors (1 factor, 72.9 bits, 0.02282698% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31939988682575360566737290812272.90913882725894659460
22 × 3 × 5 × 29 × 31 × 257373487109
2010-02-25312573734871093,188.6144.59270.05

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-07-03T00:00:00ANONYMOUSv4_computers110001100000---0.001--0.801%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.623%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.323%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.152%
2006-01-15T00:00:00Jocelyn Larouchev4_computers319399319399---0.003--1.235%
2008-11-27T11:10:00GrunwalderGIMPGWPrime022000000200000000---0.132--7.446%
2021-06-01T16:54:29George WoltmanManual testing150000001305000000---0.879--11.194%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-06-01T16:54:29George WoltmanManual testing750000059250000027--0.440


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:36:15LordJuliusManual testing254255--0.008--
2001-03-05T00:00:00ANONYMOUSv4_computers21256--0.030--
2002-03-10T00:00:00ANONYMOUSv4_computers21257--0.060--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.120--
2008-12-31T04:58:00Sturle Sundehaydn.ifi258259--0.120--
2009-01-24T09:13:00Sturle Sundeghia.ifi259260--0.240--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.646 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:7.646 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8600.000%
25500003.0254.858%
302500000.28775.066%
3510000000.02297.833%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002802.141
250000250000001445.505


Lucas-Lehmer results:
No L-L results for M319399


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T18:06:23Oliver KruseOllaptop
8868257536056673729081
36E472E8404BBA__no
2017-09-22T20:38:08Oliver KruseManual testing
8868257536056673729081
36E472E8404BBA__no
2017-10-13T00:37:56Oliver KruseGTX-036E472E8404BBA__no
2017-12-11T23:19:19ATHxps
8868257536056673729081
36E472E8404BBA__no
2020-04-18T07:56:59Oliver KruseAddPrpType5
8868257536056673729081
59B9E62F4E7B05__no


P-1 factor-bounds graph:
B1 = 15000000, B2 = 1305000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 2000000, B2 = 200000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 319399 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 11000, B2 = 1100000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T06:36:15+00:00