A145315 - OEIS

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

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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