is 2 509709617 - 1
has 153437884 decimal digits
takes 12,856.009 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
Actual2680.116957.3529%----0.116957.3529%0.0000%
PrimeNet278120.100762.8205%1900000130000000324.73365.9310%444.834365.0256%2.2051%
GPU722821,921.617264.6341%3000000130000000362.77124.4351%2,284.388466.2027%1.5685%
Difference-14-1,921.5003-7.2812%-3000000-130000000-362.7712-4.4351%-2,284.2715-8.8497%-8.8497%

Known prime factors (4 factors, 220.9 bits, 0.00004334% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
50970961730582577031031.5103
3
-135.616e-134.056e-57.443e-5
5097096174340570109820706171858.591425788524
22 × 32 × 7 × 107 × 15791
2015-09-16107157917.670e-50.03520.0588
509709617119343583759631628492063.37211707017072
24 × 3 × 31 × 7867619
2017-02-063178676190.004615.67829.280
5097096172009474802963420506712167.445197119569255
3 × 5 × 7 × 107 × 233 × 257 × 293
2022-08-052572930.08360.00950.0191

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
50970961713274581973770730593302127512890.101
509709617364983434336519128271976758472994.882
5097096176145491795147287991874020687133098.955
509709617518019192465940903016128279838890783337121.962
5097096178722266266180876041074673425551423400738126.036
509709617239817924460334238191171939342778272167940130.817
5097096171584236185660803331791850245053427337002928759947153.472
50970961726674937996164712543904764401902037637805230592148157.546
509709617733425014798289301902788370092500408278510684333749162.327
50970961710409465147117668007230773771365689233361372422112
34805943
58189.408
50970961731834826970282636430510173584929479927831581792576
85598416889928929
67220.918
P-1 results:
No P-1 results for M509709617


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2015-09-16T11:42:00TJAOIManual testing258259*58.591181.36968e-626,3152.80362e-6
2022-07-16T17:54:36LordJuliusManual testing2126331.510105.61633e-1326,3151.14962e-12
2022-07-16T17:54:36LordJuliusManual testing2126358.591187.67019e-526,3150.000
2017-02-06T17:23:25TJAOIManual testing263264*63.372200.00126,3150.003
2022-08-05T09:34:01TJAOIManual testing267268*67.445210.02526,3150.052
2022-08-10T19:29:49LordJuliusManual testing2126863.372200.00526,3150.009
2022-08-10T19:29:49LordJuliusManual testing2126867.445210.08426,3150.171
2022-08-10T19:29:49LordJuliusManual testing2126831.510105.61633e-1326,3151.14962e-12
2022-08-10T19:29:49LordJuliusManual testing2126858.591187.67019e-526,3150.000


ECM factoring results:
No ECM results for M509709617


Lucas-Lehmer results:
No L-L results for M509709617


PRP results:
No PRP results for M509709617


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
106
107
TF factor-bounds graph:
268
264
263
259
230
240
250
260
270
280
290
2100
Last modified: 2022-08-10T19:29:49+00:00