This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A383396 #12 May 02 2025 22:36:50
%S A383396 7,31,2677,35521,42451,44257,55807,93481,118891,198817,221707,234181,
%T A383396 313981,393571,560227,669847,1107781,1210387,1596367,1616611,1738411,
%U A383396 2710921,3194551,3377587,3441931,3484561,3586537,3699181,3887551,3904897,4095661,4192261,4239721
%N A383396 Primes p such that p + 6, p + 10, p + 12, p + 16 and p + 22 are also primes.
%C A383396 Initial members of prime sextuples that correspond to the difference pattern [6, 4, 2, 4, 6].
%F A383396 a(n) == 1 (mod 6).
%e A383396 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 A383396 Select[Prime[Range[298900]], AllTrue[#+{6,10,12,16,22}, PrimeQ]&] (* _James C. McMahon_, May 02 2025 *)
%Y A383396 Cf. A000040, A001223.
%Y A383396 Cf. A052378 [4, 2, 4], A022008 [4, 2, 4, 2, 4].
%K A383396 nonn
%O A383396 1,1
%A A383396 _Alexander Yutkin_, Apr 25 2025