is 2 318691 - 1
has 95936 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-L6251CB5B958AB16Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26793.237471.6418%1500000013050000000.879411.1916%94.116874.8155%3.1737%
PrimeNet2400.000052.5000%3200900000.000115.6940%0.000159.9547%7.4547%
GPU722440.000056.8182%55001500000.000111.4915%0.000161.7804%4.9623%
Difference+23+93.2374+14.8236%+14994500+1304850000+0.8792-0.2999%+94.1166+13.0351%+13.0351%

Known prime factors (2 factors, 157.3 bits, 0.04935986% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31869151099638744045132922492272.1148017113558908964
22 × 3 × 29 × 23037682640543
2015-02-2029230376826405435,433.112,94224,172
318691441809075306059981174190172685.19269316214657153791788
22 × 32 × 47 × 61 × 2220083 × 302507003
2008-03-07222008330250700331,548,3160.19160.3174

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
31869122576284141980296406747725601913572064131129923348157.305
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--1.622%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.322%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.151%
2006-01-15T00:00:00Jocelyn Larouchev4_computers318691318691---0.003--1.233%
2021-05-26T00:23:09George WoltmanManual testing150000001305000000-
skipped known factor: 44180907530605998117419017
--0.879--11.192%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-26T00:23:09George WoltmanManual testing750000059250000027--0.440


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:36:14LordJuliusManual 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--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.645 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:7.645 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
5000050000002652.026
500005000000150.115
250000250000001445.504


Lucas-Lehmer results:
No L-L results for M318691


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T17:58:57Oliver KruseOllaptop34290F48F77947__?
2017-09-22T20:38:06Oliver KruseManual testing34290F48F77947__?
2017-10-13T00:31:41Oliver KruseGTX-134290F48F77947__no
2017-12-11T22:29:59ATHxps
5109963874404513292249
44180907530605998117419017
34290F48F77947__no
2020-04-18T07:56:58Oliver KruseAddPrpType5
5109963874404513292249
44180907530605998117419017
D008D713990125__no


P-1 factor-bounds graph:
B1 = 15000000, B2 = 1305000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 318691 (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: 2022-03-07T06:36:14+00:00