A046124 Last member of a sexy prime quadruple: value of p+18 such that p, p+6, p+12 and p+18 are all prime.

23, 29, 59, 79, 269, 619, 659, 1109, 1499, 1619, 1759, 1879, 2389, 2689, 3319, 3929, 4019, 5119, 5399, 5449, 5659, 6329, 6379, 9479, 11839, 12119, 12659, 13469, 14639, 14759, 15809, 15919, 17489, 18229, 19489, 20359, 21499, 23339, 24109

Offset

1,1

Links

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

Maxie D. Schmidt, New Congruences and Finite Difference Equations for Generalized Factorial Functions, arXiv:1701.04741 [math.CO], 2017.

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) = A023271(n)+18 = A046122(n)+12 = A046123(n)+6. - Michel Marcus, Jan 06 2015

Mathematica

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

Prog

(Magma) [p+18: p in PrimesUpTo(30000) | IsPrime(p+6) and IsPrime(p+12) and IsPrime(p+18)]; // Vincenzo Librandi, Jan 07 2015

Crossrefs

Cf. A023271, A046122, A046123.

Sequence in context: A174260 A097436 A063980 * A157677 A092518 A355983

Adjacent sequences: A046121 A046122 A046123 * A046125 A046126 A046127

Keyword

nonn

Author

Eric W. Weisstein, Dec 11 1999

Status

approved