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 A233742 #6 Jul 23 2025 08:11:07 %S A233742 1,1,1,1,2,1,3,2,1,4,3,2,1,3,2,7,5,2,9,4,10,5,4,6,13,3,7,22,7,4,4,10, %T A233742 4,12,4,6,5,1,2,5,5,20,1,6,12,5,5,3,1,10,35,11,14,5,16,4,14,1,35,13,3, %U A233742 38 %N A233742 One sixth of gap g between 3 consecutive primes for the smallest k such that 6^n+k, 6^n+k+g, 6^n+k+2*g are consecutive primes in arithmetic progression. %C A233742 g is a multiple of 6 as otherwise 6^n+k, 6^n+k+g, or 6^n+k+2*g is divisible by 2 or 3. %C A233742 Sequence starts at n=2 as no solution for n=1. %C A233742 k=A233546(n). %F A233742 a(n) = A233550(n)/6. %Y A233742 Cf. A233546, A233550. %K A233742 nonn %O A233742 2,5 %A A233742 _Jonathan Sondow_, Dec 16 2013