A079292 Near twin primes of order 12: twin primes p,p+2 such that p+12 and p+14 are primes.

5, 17, 29, 59, 137, 179, 227, 269, 419, 809, 1019, 1049, 1277, 1289, 1607, 2129, 2789, 3359, 3527, 3917, 4217, 4229, 4259, 4637, 4787, 5009, 5639, 5867, 6689, 6779, 6947, 7547, 8219, 8999, 9419, 11057, 11159, 12239, 13679, 13709, 13997, 14549, 17909

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.

Example

Seq(12,20) = 5 17 29 59. 5+2 = prime, 5+12 = prime, 5+14 = prime, 17+2 = prime 17+12 = prime, 17+14 = prime.

Mathematica

Select[Range[2*10^4], And @@ PrimeQ[# + {0, 2, 12, 14}] &] (* Amiram Eldar, Dec 26 2019 *)

Crossrefs

A007530 gives twin primes of order 6.

Sequence in context: A145478 A143103 A091851 * A246334 A272838 A272939

Adjacent sequences: A079289 A079290 A079291 * A079293 A079294 A079295

Keyword

easy,nonn

Author

Cino Hilliard, Feb 08 2003

Extensions

Offset corrected by Amiram Eldar, Dec 26 2019

Status

approved