A079304 Near twin primes of order 18: twin primes (p, p+2) such that p+18 and p+20 are primes.

11, 41, 179, 599, 641, 809, 1031, 1301, 1931, 2111, 2711, 3371, 3539, 4001, 4241, 5501, 5639, 5849, 6551, 6761, 7331, 8819, 9419, 11699, 13691, 15269, 16631, 17189, 17579, 18041, 18521, 22091, 22619, 23039, 23669, 26681, 26711, 26861, 30851

Offset

1,1

Links

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

Formula

Seq(d, n) = if(n prime & n+2 prime and n+d prime and n+d+2 prime) output n d=18.

Example

11 is a term since 11, 11 + 2 = 13, 11 + 18 = 29 and 11 + 20 = 31 are all primes.

Mathematica

Select[Range[3*10^4], And @@ PrimeQ[# + {0, 2, 18, 20}] &] (* Amiram Eldar, Dec 26 2019 *)

Crossrefs

A007530 gives twin primes of order 6.

Sequence in context: A213659 A199209 A156733 * A260270 A118572 A333084

Adjacent sequences: A079301 A079302 A079303 * A079305 A079306 A079307

Keyword

easy,nonn

Author

Cino Hilliard, Feb 09 2003

Extensions

Offset corrected by Amiram Eldar, Dec 26 2019

Status

approved