A118942 - OEIS

%I #3 Mar 30 2012 17:22:42

%S 7,13,17,19,23,31,37,41,53,67,71,73,89,103,107,113,131,139,157,163,

%T 181,199,211,233,239,257,269,283,307,311,337,359,373,379,401,419,463,

%U 487,491,499,509,521,577,593,607,617,631,647,653,683,701,733,761,769,787

%N Primes p such that (p^2-13)/12 is prime.

%C For all primes q>3, we have q=6k+-1 for some k, which makes it easy to show that 12 divides q^2-13. Similar sequences, with p and (p^2+a)/b both prime, are A048161, A062324, A062326, A062718, A109953, A110589, A118915, A118918, A118939, A118940 and A118941.

%t Select[Prime[Range[200]],PrimeQ[(#^2-13)/12]&]

%K nonn

%O 1,1

%A _T. D. Noe_, May 06 2006