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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: A050505 A047262 A189796 * A171946 A026435 A026441 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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