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A192584
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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.
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3
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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
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OFFSET
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1,1
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COMMENTS
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See the discussions at A192580 and A192584. The number of terms in this finite sequence is 104. The greatest term is 15845273.
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LINKS
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Giovanni Resta, Table of n, a(n) for n = 1..104 (full sequence)
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MATHEMATICA
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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 *)
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CROSSREFS
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Cf. A192476, A192580, A192583.
Sequence in context: A050505 A047262 A189796 * A171946 A026435 A026441
Adjacent sequences: A192581 A192582 A192583 * A192585 A192586 A192587
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KEYWORD
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nonn,fini,full
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AUTHOR
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Clark Kimberling, Jul 04 2011
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EXTENSIONS
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Corrected by Giovanni Resta, Mar 21 2013
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STATUS
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approved
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