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%I #14 May 02 2025 10:32:20
%S 11,5639,5849,45119,51419,54401,88799,130631,165701,229751,284729,
%T 321311,626609,797549,855719,883229,1068701,1128761,1146779,1178699,
%U 1652879,1978421,2253479,2254781,2269439,2453441,3154421,3216119,4046291,4583849,5050679,5387729
%N Primes p such that p + 2, p + 8, p + 12, p + 18 and p + 20 are also primes.
%C Initial members of prime sextuples that correspond to the difference pattern [2, 6, 4, 6, 2].
%e 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).
%t Select[Prime[Range[373583]], AllTrue[#+{2,8,12,18,20}, PrimeQ]&] (* _James C. McMahon_, May 02 2025 *)
%Y Cf. A000040, A001223.
%Y Cf. A382810 [6, 4, 6], A022008 [4, 2, 4, 2, 4].
%K nonn
%O 1,1
%A _Alexander Yutkin_, Apr 25 2025