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 A192584 #7 Mar 21 2013 13:14:03
%S A192584 2,4,5,6,8,10,11,13,17,23,31,37,41,47,53,61,67,79,83,89,101,103,107,
%T A192584 131,137,139,149,167,179,223,263,269,283,311,317,359,367,499,557,607,
%U A192584 619,643,719,787,809,823,857,1031,1049,1097,1193,1433,1439,1579,1619
%N A192584 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, 6, 8, and 10 are in S.
%C A192584 See the discussions at A192580 and A192584. The number of terms in this finite sequence is 104. The greatest term is 15845273.
%H A192584 Giovanni Resta, <a href="/A192584/b192584.txt">Table of n, a(n) for n = 1..104</a> (full sequence)
%t A192584 start = {2, 4, 6, 8, 10}; seq = {}; new = start; While[new != {},
%t A192584 seq = Union[seq, new]; fresh = new; new = {}; Do[If[PrimeQ[u = x*y + 1], If[! MemberQ[seq, u], AppendTo[new, u]]], {x, seq}, {y, fresh}]]; seq (* _Giovanni Resta_, Mar 21 2013 *)
%Y A192584 Cf. A192476, A192580, A192583.
%K A192584 nonn,fini,full
%O A192584 1,1
%A A192584 _Clark Kimberling_, Jul 04 2011
%E A192584 Corrected by _Giovanni Resta_, Mar 21 2013