Re:A prime number whose binary representation looks like a g...
by phkahler on Saturday January 20, 2018 @07:38AM
(#16193140)
Sometimes its a good idea to use a faster probable prime test when searching, and then use a slower test to verify the result. As has been done here.
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Re:A prime number whose binary representation looks like a g...
by SAI_Peregrinus on Saturday January 20, 2018 @10:16AM
(#16193604)
Lenstra and Pomerace's variant of the AKS test is O(log(n)^6), and deterministic. So polynomial, and not a huge exponent. Still not as fast as the probabilistic algorithms, but not as slow as pre-AKS methods.
Re:A prime number whose binary representation looks like a g...
by YomiK on Monday January 22, 2018 @02:20PM
(#16207077)
"not as slow as pre-AKS methods." only in terms of provable asymptotic bounds. It's much slower than APR-CL and ECPP, both of which existed before AKS, and are the methods used daily.