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paulunderwood · 2020-11-17, 19:07

This script outputs no counterexamples:

Code:

{
forstep(a=3,100,1,print(a);
D=a^2-4;E=D^2-4;
forstep(n=4*E-1,50000000*E,4*E,
if(kronecker(D,n)==-1&&!ispseudoprime(n),
r=Mod(D,n)^((n-1)/2);s=Mod(E,n)^((n-1)/2);
if(r==-1&&s==1,
print([n,r,s])))))
}

Can you find one?

2020-11-17, 19:07	#1
paulunderwood Sep 2002 Database er0rr 2·3·599 Posts	1+1 Selfridges PRP test This script outputs no counterexamples: Code: { forstep(a=3,100,1,print(a); D=a^2-4;E=D^2-4; forstep(n=4E-1,50000000E,4*E, if(kronecker(D,n)==-1&&!ispseudoprime(n), r=Mod(D,n)^((n-1)/2);s=Mod(E,n)^((n-1)/2); if(r==-1&&s==1, print([n,r,s]))))) } Can you find one?