A145315 Numbers k for which the set {30*k-13, 30*k-11, 30*k-7, 30*k-1, 30*k+1, 30*k+7, 30*k+11, 30*k+13} forms a symmetrical prime octuplet.

1, 43, 3772, 86022, 691263, 1940280, 2445785, 2539018, 3355288, 4492167, 4598112, 5517709, 5731956, 7466941, 8409234, 9817872, 10324700, 10390862, 12138468, 13631232, 17181592, 17382707, 17609073, 20633677, 20897582, 22760333, 23389302, 32968102, 36051016, 37215088

Offset

1,2

Comments

a(n) is always +/- 1 (mod 7).

Links

Table of n, a(n) for n=1..30.

Formula

a(n) = (A022012(n) + 13)/30. - Hugo Pfoertner, Nov 08 2022

Mathematica

spoQ[n_]:=Module[{c=30n}, And@@PrimeQ[{c-13, c-11, c-7, c-1, c+1, c+7, c+11, c+13}]]; Select[Range[23000000], spoQ] (* Harvey P. Dale, Oct 10 2011 *)

Crossrefs

Cf. A022012.

Sequence in context: A265234 A357557 A015323 * A110704 A060485 A081795

Adjacent sequences: A145312 A145313 A145314 * A145316 A145317 A145318

Keyword

nonn

Author

Andrey V. Kulsha, Oct 07 2008

Status

approved