

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 p6 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

p6 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



