%I A046118
%S A046118 7,17,31,47,67,97,101,151,167,227,257,271,347,367,557,587,607,647,727,
%T A046118 941,971,1097,1117,1181,1217,1277,1291,1361,1427,1447,1487,1607,1657,
%U A046118 1747,1777,1867,1901,1987,2131,2281,2377,2411,2677,2687,2707,2791
%N A046118 Smallest member of a sexy prime triple: value of p where (p,p+6,p+12) 
               are all prime but p+18 is not (although p-6 might be.)
%C A046118 p-6 will be prime if the prime triple contains the last 3 primes of a 
               sexy prime quadruple.
%C A046118 If a sexy prime triple happens to include the last 3 members of a sexy 
               prime quadruple this sequence will contain the sexy prime triple's 
               smallest member, e.g. a(4)=47 is the smallest member of the sexy 
               prime triple (47, 53, 59), but is also the second member of the sexy 
               prime quadruple (41, 47, 53, 59). [From Daniel Forgues (squid(AT)zensearch.com), 
               Aug 05 2009]
%H A046118 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               SexyPrimes.html">Link to a section of The World of Mathematics.</
               a>
%t A046118 lst={};Do[p=Prime[n];If[PrimeQ[p+6]&&PrimeQ[p+12]&&!PrimeQ[p+18], AppendTo[lst, 
               p]], {n, 7!}];lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), 
               Aug 29 2008]
%Y A046118 Cf. A023201, A046117.
%Y A046118 Cf. A046119, A046120.
%Y A046118 Sequence in context: A006142 A001123 A094080 this_sequence A120092 A130284 
               A056220
%Y A046118 Adjacent sequences: A046115 A046116 A046117 this_sequence A046119 A046120 
               A046121
%K A046118 nonn
%O A046118 1,1
%A A046118 Eric Weisstein (eric(AT)weisstein.com)
%E A046118 Definition edited by Daniel Forgues, Aug 12 2009