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 A233550 #27 Nov 23 2024 14:25:47 %S A233550 6,6,6,6,12,6,18,12,6,24,18,12,6,18,12,42,30,12,54,24,60,30,24,36,78, %T A233550 18,42,132,42,24,24,60,24,72,24,36,30,6,12,30,30,120,6,36,72,30,30,18, %U A233550 6,60,210,66,84,30,96,24,84,6,210,78,18,228 %N A233550 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 A233550 Sequence starts for n=2 as no solution for n=1. %C A233550 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. - _Jonathan Sondow_, Dec 16 2013 %H A233550 Pierre CAMI, <a href="/A233550/b233550.txt">Table of n, a(n) for n = 2..350</a> %F A233550 a(n) = 6*A233742(n). - _Jonathan Sondow_, Dec 16 2013 %e A233550 6^2+11=47, 6^2+11+6=53, 6^2+11+2*6=59 are consecutive primes and k=11 is minimal, so a(2)=6. - _Jonathan Sondow_, Dec 16 2013 %o A233550 (PFGW) ; See A233546. %Y A233550 Cf. A233546 (associated k), A233742. %K A233550 nonn %O A233550 2,1 %A A233550 _Pierre CAMI_, Dec 16 2013