is 2 21457057 - 1
has 6459218 decimal digits
takes 15.206 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
Actual2682.777963.2353%----2.777963.2353%0.0000%
PrimeNet2650.340061.5385%10000032000000.27635.1232%0.616363.5089%1.9705%
GPU722695.564063.7681%16000045000000.40743.8336%5.971465.1571%1.3890%
Difference-1-2.7861-0.5328%-160000-4500000-0.4074-3.8336%-3.1935-1.9218%-1.9218%

Known prime factors (2 factors, 110.1 bits, 0.00051304% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2145705719997764269994571650.82946599504
24 × 3 × 7 × 331 × 419
-3314191.029e-50.00030.0007
214570576874142269966398731859.25416018371648
26 × 33 × 19 × 487889
2015-11-06644878890.00360.02740.0510

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21457057137467476673193416030841459554896134110.083
P-1 results:
No P-1 results for M21457057


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2015-11-06T12:14:55TJAOIManual testing259260*59.254183.71846e-531.337.66166e-5
2022-06-24T04:22:33LordJuliusManual testing260265--0.333--
2022-06-24T04:22:34LordJuliusManual testing265266--0.348--
2022-06-24T04:22:34LordJuliusManual testing266267--0.697--
2022-04-11T20:17:42LordJuliusManual testing267268--1.393--


ECM factoring results:
No ECM results for M21457057


Lucas-Lehmer results:
No L-L results for M21457057


PRP results:
No PRP results for M21457057


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