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
factored, 0 LL tests remaining
ResidueStatus
L-L6251CB5B958AB16Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26793.237471.6418%1500000013050000000.879411.1916%94.116874.8155%
Target2440.000056.8182%55007500000.000511.4915%0.000561.7804%
Difference+23+93.2374+14.8236%+14994500+1304250000+0.8789-0.2999%+94.1163+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:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-07-03ANONYMOUSv4_computers110001100000---0.001--0.801%
2002-06-09ANONYMOUSv4_computers327683276800---0.002--1.622%
2002-08-17ANONYMOUSv4_computers655366553600---0.004--2.322%
2003-03-27ANONYMOUSv4_computers13107213107200---0.009--3.151%
2006-01-15Jocelyn Larouchev4_computers318691318691---0.003--1.233%
2021-05-26George WoltmanManual testing150000001305000000-
skipped known factor: 44180907530605998117419017
--0.879--11.192%


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


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-12ANONYMOUSv4_computers21254--0.008--
2022-03-07LordJuliusManual testing254255--0.008--
2001-03-05ANONYMOUSv4_computers21256--0.030--
2002-03-10ANONYMOUSv4_computers21257--0.060--
2004-02-07ANONYMOUSv4_computers21258--0.120--


ECM factoring results:
Total ECM effort:9.781 GHz-days
Estimated T-Level:26.852
DigitsB1CompleteFacMiss
201100028.8600.000%
25500003.7712.303%
302500000.37069.045%
3510000000.02997.139%
4030000000.00299.812%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002652.026
500005000000150.115
250000250000001445.504
25000033750000502.136


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01Klaus Kastensbadger6251CB5B958AB16A0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22Oliver KruseOllaptop34290F48F77947__?
2017-09-22Oliver KruseManual testing34290F48F77947__?
2017-10-13Oliver KruseGTX-134290F48F77947__no
2017-12-11ATHxps
5109963874404513292249
44180907530605998117419017
34290F48F77947__no
2020-04-18Oliver 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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254
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=26.85 ~= 73-bit
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Last modified: 2023-09-25T11:53:03+00:00