is 2 315653473 - 1
has 95021164 decimal digits
takes 4,507.926 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
Actual2680.188857.3529%----0.188857.3529%0.0000%
PrimeNet27648.483561.8421%120000080000000113.75305.9021%162.236564.0942%2.2521%
GPU72280775.744963.7500%190000080000000127.45874.3793%903.203665.3375%1.5875%
Difference-12-775.5560-6.3971%-1900000-80000000-127.4587-4.3793%-903.0148-7.9845%-7.9845%

Known prime factors (3 factors, 160.8 bits, 0.00005095% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31565347318939208391030.8193
3
-134.535e-132.296e-54.214e-5
31565347368619916525694353131962.57310869501272
23 × 7 × 8269 × 23473
2016-09-028269234730.00480.18840.3485
3156534732007743245631907201912167.444318029646015
32 × 5 × 7067325467
2022-08-05970673254670.16217,973.514,892

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
315653473129960689878453014337531876072993.392
3156534733802506772263764773011529602493098.263
315653473137771173920288125878451394156265750478340130.017
315653473260927697301127006485454276441154527252826587293749160.836
P-1 results:
No P-1 results for M315653473


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-09-02T14:14:13TJAOIManual testing262263*62.573190.0039,2350.006
2022-08-05T09:29:44TJAOIManual testing267268*67.444210.0689,2350.139
2022-08-10T19:29:42LordJuliusManual testing2126830.819104.53456e-139,2359.28999e-13
2022-08-10T19:29:42LordJuliusManual testing2126867.444210.1629,2350.332
2022-08-10T19:29:42LordJuliusManual testing2126862.573190.0059,2350.010


ECM factoring results:
No ECM results for M315653473


Lucas-Lehmer results:
No L-L results for M315653473


PRP results:
No PRP results for M315653473


P-1 factor-bounds graph:
100
101
102
103
104
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
263
230
240
250
260
270
280
290
2100
Last modified: 2022-08-10T19:29:42+00:00