%I A046119
%S A046119 13,23,37,53,73,103,107,157,173,233,263,277,353,373,563,593,613,653,
%T A046119 733,947,977,1103,1123,1187,1223,1283,1297,1367,1433,1453,1493,1613,
%U A046119 1663,1753,1783,1873,1907,1993,2137,2287,2383,2417,2683,2693,2713
%N A046119 Middle member of a sexy prime triple: value of p+6 where (p,p+6,p+12) 
               are all prime but p+18 is not (although p-6 might be.)
%C A046119 p-6 will be prime if the prime triple contains the last 3 primes of a 
               sexy prime quadruple.
%C A046119 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 
               middle member, e.g. a(4)=53 is the middle member of the sexy prime 
               triple (47, 53, 59), but is also the third member of the sexy prime 
               quadruple (41, 47, 53, 59). [From Daniel Forgues (squid(AT)zensearch.com), 
               Aug 05 2009]
%H A046119 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 A046119 lst={};Do[p=Prime[n];If[PrimeQ[p+6]&&PrimeQ[p+12]&&!PrimeQ[p+18], AppendTo[lst, 
               p+6]], {n, 7!}];lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), 
               Aug 29 2008]
%Y A046119 Cf. A023201, A046117.
%Y A046119 Cf. A046118, A046120.
%Y A046119 Sequence in context: A050857 A089714 A070219 this_sequence A164408 A164416 
               A164491
%Y A046119 Adjacent sequences: A046116 A046117 A046118 this_sequence A046120 A046121 
               A046122
%K A046119 nonn
%O A046119 1,1
%A A046119 Eric Weisstein (eric(AT)weisstein.com)
%E A046119 Definition edited by Daniel Forgues (squid(AT)zensearch.com), Aug 12 
               2009