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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.) 3
7, 17, 31, 47, 67, 97, 101, 151, 167, 227, 257, 271, 347, 367, 557, 587, 607, 647, 727, 941, 971, 1097, 1117, 1181, 1217, 1277, 1291, 1361, 1427, 1447, 1487, 1607, 1657, 1747, 1777, 1867, 1901, 1987, 2131, 2281, 2377, 2411, 2677, 2687, 2707, 2791 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

p-6 will be prime if the prime triple contains the last 3 primes of a sexy prime quadruple.

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, Aug 05 2009]

LINKS

Table of n, a(n) for n=1..46.

Eric Weisstein's World of Mathematics, Sexy Primes.

MATHEMATICA

lst={}; Do[p=Prime[n]; If[PrimeQ[p+6]&&PrimeQ[p+12]&&!PrimeQ[p+18], AppendTo[lst, p]], {n, 7!}]; lst [From Vladimir Joseph Stephan Orlovsky, Aug 29 2008]

CROSSREFS

Cf. A023201, A046117.

Cf. A046119, A046120.

Sequence in context: A196167 A001123 A094080 * A120092 A130284 A056220

Adjacent sequences:  A046115 A046116 A046117 * A046119 A046120 A046121

KEYWORD

nonn

AUTHOR

Eric W. Weisstein

EXTENSIONS

Definition edited by Daniel Forgues, Aug 12 2009

STATUS

approved

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Last modified August 21 17:59 EDT 2014. Contains 245870 sequences.