cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A118939 Primes p such that (p^2+3)/4 is prime.

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%I A118939 #3 Mar 30 2012 17:22:42
%S A118939 3,5,7,11,13,17,29,31,41,43,67,83,101,109,139,151,157,179,181,199,211,
%T A118939 223,239,263,277,283,307,311,337,347,353,379,389,419,431,463,491,557,
%U A118939 577,587,619,659,673,739,757,797,809,811,829,853,907,911,953,991,1051
%N A118939 Primes p such that (p^2+3)/4 is prime.
%C A118939 For all primes q>2, we have q=4k+-1 for some k, which makes it easy to show that 4 divides q^2+3. Similar sequences, with p and (p^2+a)/b both prime, are A048161, A062324, A062326, A062718, A109953, A110589, A118915, A118918, A118940, A118941 and A118942.
%t A118939 Select[Prime[Range[200]],PrimeQ[(#^2+3)/4]&]
%K A118939 nonn
%O A118939 1,1
%A A118939 _T. D. Noe_, May 06 2006