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%I #7 Mar 21 2013 13:13:51
%S 2,5,8,11,14,17,23,29,41,47,59,71,83,89,113,137,167,179,197,227,233,
%T 239,359,467,479,569,659,719,827,1097,1163,1319,1433,1439,1583,1913,
%U 2339,2879,3167,3347,3833,4679,5273,9227,10067,11579,15359,18713,20063
%N 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, 5, 8, 11, and 14 are in S.
%C Last term is a(70) = 15785183. - _Giovanni Resta_, Mar 21 2013
%H Giovanni Resta, <a href="/A192585/b192585.txt">Table of n, a(n) for n = 1..70</a> (full sequence)
%t start = {2, 5, 8, 11, 14}; seq = {}; new = start; While[new != {}, 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 Cf. A192476, A192580, A192584.
%K nonn,fini,full
%O 1,1
%A _Clark Kimberling_, Jul 05 2011