20150320, 15:09  #1 
Jul 2014
Montenegro
2×13 Posts 
Pseudoprimality Hypothesis for Specific Class of Generalized Fermat Numbers
Definition
Let , where and are nonnegative integers . Conjecture Let such that , is even , and . Let with , thus is prime iff PARI/GP implementation Code:
GF(b,n)= { my(s=Mod(2*polchebyshev(b/2,1,polchebyshev(b/2,1,4)),b^2^n+1)); for(i=1,2^n2, s=2*polchebyshev(b,1,s/2)); s==0 } List of generalized Fermat primes sorted by base . 
20150325, 22:18  #2  
May 2007
Kansas; USA
3·5^{2}·11·13 Posts 
Quote:


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