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 A383167 #51 May 02 2025 22:36:46 %S A383167 19,1279,5839,32359,75979,88789,113149,138559,229759,246919,357649, %T A383167 433249,460969,590119,595939,839599,855709,1257229,1266259,1287739, %U A383167 1652869,1749259,1880929,2428879,2580649,2882479,3245569,3300949,3753349,3809149,3939769 %N A383167 Primes p such that p + 4, p + 10, p + 12, p + 18 and p + 22 are also primes. %C A383167 Initial members of prime sextuples that correspond to the difference pattern [4, 6, 2, 6, 4]. %e A383167 p = 1279: 1279 + 4 = 1283, 1279 + 10 = 1289, 1279 + 12 = 1291, 1279 + 18 = 1297, 1279 + 22 = 1301 -> prime sextuple: (1279, 1283, 1289, 1291, 1297, 1301). %t A383167 Select[Prime[Range[279224]], AllTrue[#+{4,10,12,18,22}, PrimeQ]&] (* _James C. McMahon_, May 02 2025 *) %Y A383167 Cf. A000040, A001223. %Y A383167 Cf. A140565 [6, 2, 6], A022008 [4, 2, 4, 2, 4]. %K A383167 nonn %O A383167 1,1 %A A383167 _Alexander Yutkin_, Apr 25 2025