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 A192582 #4 Mar 30 2012 18:57:35
%S A192582 2,4,5,6,11,13,17,23,31,37,47,53,67,79,103,107,139,149,223,269,283,
%T A192582 317,557,619,643,1699,2477,3343
%N A192582 Monotonic ordering of set S generated by these rules: if x and y are in S and xy+1 is a prime, then xy+1 is in S, and 2, 4, and 6 are in S.
%C A192582 See the discussion at A192580.
%t A192582 start = {2, 4, 6}; primes = Table[Prime[n], {n, 1, 10000}];
%t A192582 f[x_, y_] := If[MemberQ[primes, x*y + 1], x*y + 1]
%t A192582 b[x_] :=
%t A192582 Block[{w = x},
%t A192582 Select[Union[
%t A192582 Flatten[AppendTo[w,
%t A192582 Table[f[w[[i]], w[[j]]], {i, 1, Length[w]}, {j, 1, i}]]]], # <
%t A192582 10000000 &]];
%t A192582 t = FixedPoint[b, start] (* A192582 *)
%Y A192582 Cf. A192476.
%K A192582 nonn,fini,full
%O A192582 1,1
%A A192582 _Clark Kimberling_, Jul 04 2011