is 2 12569 - 1
has 3784 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actualunknown----0.00000.0000%
Target2440.000268.1818%500800000.00001.3554%0.000268.6131%
Difference-44-0.0002-68.1818%-500-800000.0000-1.3554%-0.0002-68.6131%

Known prime factors (3 factors, 12,569.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
125693160248865063271548.16712571600227
3 × 61 × 68697269
-61686972690.00470.00110.0020
1256956987354142502393180176437881680550191607942138.71022669804337060383952651936463394283631
3 × 7556601445686794650883978821131427877
2017-04-05375566014456867946508839788211314278771.253e+131.177e+262.199e+26
12569
click to show decimal representation
3,72812,382.1232017-04-05

1 Composite Factors:
P-1 results:
No P-1 results for M12569


Trial Factoring results:
No TF results for M12569


ECM factoring results:
Total ECM effort:6.006 GHz-days
Estimated T-Level:34.645
DigitsB1CompleteFacMiss
2011000255.5190.000%
255000049.8310.000%
302500007.5600.052%
3510000000.92939.495%
4030000000.09491.034%
45110000000.00899.207%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001560.032
1000001000000010.000
2000002000000010.001
250000250000001300.134
4000004000000010.002
50000050000000250.051
10000001000000003791.560
10000001000000001,0274.226


Lucas-Lehmer results:
No L-L results for M12569


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-09kkmrkkblmbrbkc4.large
316024886506327
569873541425023931801764378816805501916079
PRP


P-1 factor-bounds graph:
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=34.64 ~= 98-bit
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Last modified: 2023-07-11T14:45:05+00:00