The OEIS is supported by the many generous donors to the OEIS Foundation.
%I #3 Mar 30 2012 17:22:42
%S 5,7,11,13,17,19,23,31,41,43,53,61,71,79,83,89,97,101,107,109,113,131,
%T 137,167,173,179,193,229,241,251,263,269,277,281,283,307,311,317,349,
%U 353,373,383,419,431,439,461,463,467,563,571,577,593,607,613,619,647
%N Primes p such that (p^2-5)/4 is prime.
%C For all primes q>2, we have q=4k+-1 for some k, which makes it easy to show that 4 divides q^2-5. Similar sequences, with p and (p^2+a)/b both prime, are A048161, A062324, A062326, A062718, A109953, A110589, A118915, A118918, A118939, A118940 and A118942.
%t Select[Prime[Range[200]],PrimeQ[(#^2-5)/4]&]
%K nonn
%O 1,1
%A _T. D. Noe_, May 06 2006