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.
%I A168323 #5 Mar 22 2017 03:38:51
%S A168323 3,5,11,7,13,11,17,13,23,17,31,19,47,23,61,29,67,31,83,37,103,41,107,
%T A168323 43,113,67,127,83,137,97,139,101,149,103,157,107,167,109,173,127,179,
%U A168323 137,193,149,199,151,227,163,229,179,233,181,239,193,241,197,263,199,271
%N A168323 a(1)=3, a(2)=5; a(n+1) is the smallest prime number greater than a(n-1) and not equal to a(n) such that the sum of any three consecutive terms is a prime.
%t A168323 a=3;b=5;lst={a,b};Do[Do[If[PrimeQ[q]&&PrimeQ[a+b+q]&&q!=b,c=q;Break[]],{q,a+2,9!,2}];AppendTo[lst,c];a=b;b=c,{n,6!}];lst
%Y A168323 Cf. A062391, A168322.
%K A168323 nonn
%O A168323 1,1
%A A168323 _Vladimir Joseph Stephan Orlovsky_, Nov 22 2009