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 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. 3
 2, 4, 5, 6, 8, 10, 11, 13, 17, 23, 31, 37, 41, 47, 53, 61, 67, 79, 83, 89, 101, 103, 107, 131, 137, 139, 149, 167, 179, 223, 263, 269, 283, 311, 317, 359, 367, 499, 557, 607, 619, 643, 719, 787, 809, 823, 857, 1031, 1049, 1097, 1193, 1433, 1439, 1579, 1619 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS See the discussions at A192580 and A192584.  The number of terms in this finite sequence is 104. The greatest term is 15845273. LINKS Giovanni Resta, Table of n, a(n) for n = 1..104 (full sequence) MATHEMATICA start = {2, 4, 6, 8, 10}; 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, A192583. Sequence in context: A330330 A189796 A284818 * A337140 A171946 A285385 Adjacent sequences:  A192581 A192582 A192583 * A192585 A192586 A192587 KEYWORD nonn,fini,full AUTHOR Clark Kimberling, Jul 04 2011 EXTENSIONS Corrected by Giovanni Resta, Mar 21 2013 STATUS approved

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Last modified August 9 21:08 EDT 2022. Contains 356026 sequences. (Running on oeis4.)