is 2 21708209 - 1
has 6534823 decimal digits
takes 15.384 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
Actual2682.745763.2353%----2.745763.2353%0.0000%
PrimeNet2650.336161.5385%10000032000000.27635.1313%0.612463.5120%1.9736%
GPU722695.499663.7681%16000045000000.40743.8397%5.907065.1593%1.3912%
Difference-1-2.7539-0.5328%-160000-4500000-0.4074-3.8397%-3.1613-1.9240%-1.9240%

Known prime factors (2 factors, 85.6 bits, 0.00039430% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21708209173665673927.3724
22
-448.244e-134.110e-68.365e-6
217082093365889697414006091858.2247752573456
24 × 3 × 161511947
2015-08-19161615119470.00219.042416.889

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21708209584539499545169727245948572685.596
P-1 results:
No P-1 results for M21708209


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2015-08-19T11:22:00TJAOIManual testing258259*58.224180.00031.690.001
2022-06-24T04:22:34LordJuliusManual testing2126527.37298.24376e-1331.691.69817e-12
2022-06-24T04:22:34LordJuliusManual testing2126558.224180.00231.690.004
2022-06-24T04:22:34LordJuliusManual testing265266--0.344--
2022-06-24T04:22:34LordJuliusManual testing266267--0.688--
2022-04-11T20:17:44LordJuliusManual testing267268--1.377--


ECM factoring results:
No ECM results for M21708209


Lucas-Lehmer results:
No L-L results for M21708209


PRP results:
No PRP results for M21708209


P-1 factor-bounds graph:
100
101
102
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
259
220
230
240
250
260
270
280
290
2100
Last modified: 2022-06-24T04:22:34+00:00