A383396 - OEIS

%I #12 May 02 2025 22:36:50

%S 7,31,2677,35521,42451,44257,55807,93481,118891,198817,221707,234181,

%T 313981,393571,560227,669847,1107781,1210387,1596367,1616611,1738411,

%U 2710921,3194551,3377587,3441931,3484561,3586537,3699181,3887551,3904897,4095661,4192261,4239721

%N Primes p such that p + 6, p + 10, p + 12, p + 16 and p + 22 are also primes.

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

%F a(n) == 1 (mod 6).

%e p = 2677: 2677 + 6 = 2683, 2677 + 10 = 2687, 2677 + 12 = 2689, 2677 + 16 = 2693, 2677 + 22 = 2699 -> prime sextuple: (2677, 2683, 2687, 2689, 2693, 2699).

%t Select[Prime[Range[298900]], AllTrue[#+{6,10,12,16,22}, PrimeQ]&] (* _James C. McMahon_, May 02 2025 *)

%Y Cf. A000040, A001223.

%Y Cf. A052378 [4, 2, 4], A022008 [4, 2, 4, 2, 4].

%K nonn

%O 1,1

%A _Alexander Yutkin_, Apr 25 2025