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 A192585 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. 2
 2, 5, 8, 11, 14, 17, 23, 29, 41, 47, 59, 71, 83, 89, 113, 137, 167, 179, 197, 227, 233, 239, 359, 467, 479, 569, 659, 719, 827, 1097, 1163, 1319, 1433, 1439, 1583, 1913, 2339, 2879, 3167, 3347, 3833, 4679, 5273, 9227, 10067, 11579, 15359, 18713, 20063 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Last term is a(70) = 15785183. - Giovanni Resta, Mar 21 2013 LINKS Giovanni Resta, Table of n, a(n) for n = 1..70 (full sequence) MATHEMATICA 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 *) CROSSREFS Cf. A192476, A192580, A192584. Sequence in context: A190006 A135677 A355135 * A344162 A172262 A163516 Adjacent sequences:  A192582 A192583 A192584 * A192586 A192587 A192588 KEYWORD nonn,fini,full AUTHOR Clark Kimberling, Jul 05 2011 STATUS approved

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Last modified August 9 17:13 EDT 2022. Contains 356026 sequences. (Running on oeis4.)