A286217 Product of the n-th sexy prime triple.

1729, 11339, 49321, 146969, 386389, 1089019, 1221191, 3864241, 5171489, 12640949, 18181979, 21243961, 43974269, 51881689, 178433279, 208506509, 230324329, 278421569, 393806449, 849244031, 932539661, 1341880019, 1416207439, 1672403471, 1829232539, 2111885999

Offset: 1

Author

Connor Zapfel, May 04 2017

Keywords

• nonn
• easy

Comments

A sexy prime triple is such that p, p+6, and p+12 are primes but p+18 is not a prime. - Harvey P. Dale, Oct 13 2024

Examples

			The first sexy prime triple is (7, 13, 19) so a(1) = 7*13*19 = 1729.
		

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000
• Wikipedia, Sexy Prime

Crossrefs

Cf. A023201, A046118, A046119, A046120.

Programs

Mathematica

Select[Prime@ Range@ 500, PrimeQ[# + {6, 12, 18}] == {True, True, False} &] // # (#+6) (#+12) & (* Giovanni Resta, May 05 2017 *)
Times@@Take[#,3]&/@(Select[Table[p+{0,6,12,18},{p,Prime[Range[250]]}],Boole[PrimeQ[#]]=={1,1,1,0}&]) (* Harvey P. Dale, Oct 13 2024 *)

Formula

a(n) = s(n)*(s(n)+6)*(s(n)+12), where s = A046118.

a(n) = A046118(n) * A046119(n) * A046120(n).