A383393 Primes p such that p + 2, p + 8, p + 12, p + 18 and p + 20 are also primes.

11, 5639, 5849, 45119, 51419, 54401, 88799, 130631, 165701, 229751, 284729, 321311, 626609, 797549, 855719, 883229, 1068701, 1128761, 1146779, 1178699, 1652879, 1978421, 2253479, 2254781, 2269439, 2453441, 3154421, 3216119, 4046291, 4583849, 5050679, 5387729

Offset

1,1

Comments

Initial members of prime sextuples that correspond to the difference pattern [2, 6, 4, 6, 2].

Links

Table of n, a(n) for n=1..32.

Example

p = 5639: 5639 + 2 = 5641, 5639 + 8 = 5647, 5639 + 12 = 5651, 5639 + 18 = 5657, 5639 + 20 = 5659 -> prime sextuple: (5639, 5641, 5647, 5651, 5657, 5659).

Mathematica

Select[Prime[Range[373583]], AllTrue[#+{2, 8, 12, 18, 20}, PrimeQ]&] (* James C. McMahon, May 02 2025 *)

Crossrefs

Cf. A000040, A001223.

Cf. A382810 [6, 4, 6], A022008 [4, 2, 4, 2, 4].

Sequence in context: A023334 A216790 A068730 * A257124 A208857 A214162

Adjacent sequences: A383390 A383391 A383392 * A383394 A383395 A383396

Keyword

nonn

Author

Alexander Yutkin, Apr 25 2025

Status

approved