A046122 Second member of a sexy prime quadruple: value of p+6 such that p, p+6, p+12 and p+18 are all prime.

11, 17, 47, 67, 257, 607, 647, 1097, 1487, 1607, 1747, 1867, 2377, 2677, 3307, 3917, 4007, 5107, 5387, 5437, 5647, 6317, 6367, 9467, 11827, 12107, 12647, 13457, 14627, 14747, 15797, 15907, 17477, 18217, 19477, 20347, 21487, 23327, 24097

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Sexy Primes. [The definition in this webpage is unsatisfactory, because it defines a "sexy prime" as a pair of primes.- N. J. A. Sloane, Mar 07 2021].

Formula

a(n) = 6 + A023271(n) = A046123(n) - 6. - R. J. Mathar, Jun 28 2012

Mathematica

lst={}; Do[p=Prime[n]; If[PrimeQ[p+6]&&PrimeQ[p+12]&&PrimeQ[p+18], AppendTo[lst, p+6]], {n, 8!}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 29 2008 *)

Crossrefs

Cf. A023201, A023271, A046117, A046123, A046124.

Sequence in context: A146036 A248482 A267772 * A217064 A377856 A242244

Adjacent sequences: A046119 A046120 A046121 * A046123 A046124 A046125

Keyword

nonn

Author

Eric W. Weisstein

Status

approved