A384527 Primes p such that p + 6, p + 12, p + 14, p + 20 and p + 26 are also primes.

17, 47, 257, 587, 1277, 4637, 14537, 19457, 71327, 101267, 113147, 115757, 150197, 179807, 191447, 193367, 267887, 302567, 344237, 408197, 416387, 442817, 482387, 536267, 566537, 652727, 886967, 1043747, 1268777, 1300127, 1373147, 1464257, 1589657, 1616597, 1988237

Offset

1,1

Comments

Initial members of prime sextuples that correspond to the difference pattern [6, 6, 2, 6, 6].

Links

Table of n, a(n) for n=1..35.

Formula

a(n) == 17 (mod 30). - Hugo Pfoertner, Jun 01 2025

Example

p=257: 257+6=263, 257+12=269, 257+14=271, 257+20=277, 257+26=283 —> prime sextuple: (257, 263, 269, 271, 277, 283).

Mathematica

Select[Prime[Range[150000]], PrimeQ[#+6]&&PrimeQ[#+12]&&PrimeQ[#+14]&&PrimeQ[#+20]&&PrimeQ[#+26] &] (* Stefano Spezia, Jun 01 2025 *)

Crossrefs

Cf. A000040, A001223.

Cf. A023241 [6, 6], A140565 [6, 2, 6].

Sequence in context: A229448 A155841 A147058 * A083296 A362480 A159850

Adjacent sequences: A384524 A384525 A384526 * A384528 A384529 A384530

Keyword

nonn

Author

Alexander Yutkin, Jun 01 2025

Status

approved