%I #4 Nov 08 2012 09:28:39
%S 2,8,18,24,74,170,614,704,1010,1164,15054,21774,24476
%N Even numbers that are not congruent to 1 mod 3 nor are squares nor are the sum of a prime and a square of a prime.
%C We conjecture that every sufficiently large even number is congruent to 1 mod 3, or is a square, or is a sum of a prime and a square of a prime. The numbers listed here are believed to be the only exceptions. This has been verified up to 100000000.
%t okQ[n_]:=Mod[n,3]!=1&&!IntegerQ[Sqrt[n]]&&Count[nPrime[Range[ PrimePi[n]]], _?(PrimeQ[Sqrt[#]]&)]==0; Select[Range[0,25000,2],okQ] (* _Harvey P. Dale_, Nov 08 2012 *)
%K nonn
%O 1,1
%A Dmytro Taranovsky (dmytro(AT)mit.edu), Aug 17 2005
