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 A054814 #13 Jun 17 2023 16:02:34
%S A054814 1847,2503,3433,9587,21467,22993,25219,26083,32159,33377,33911,39079,
%T A054814 40787,41213,44249,47269,48799,55871,57773,67003,70099,74257,74687,
%U A054814 74699,75109,75133,82939,84299,87833,88379,88643,103769,103867,106243,106937,108161,110899,112997,118127,120371
%N A054814 Second term p(m) of strong prime sextets: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3).
%H A054814 M. F. Hasler, <a href="/A054814/b054814.txt">Table of n, a(n) for n = 1..2500</a>, Oct 27 2018
%F A054814 a(n) = A151800(A054813(n)) = A151799(A054815(n)), A151800 = nextprime, A151799 = prevprime; A054814 = { m = A054809(n) | m = nextprime(A054809(n-1)) }. - _M. F. Hasler_, Oct 27 2018
%t A054814 Select[Partition[Prime[Range[12000]],6,1],Max[Differences[#,2]]<0&][[;;,2]] (* _Harvey P. Dale_, Jun 17 2023 *)
%Y A054814 Cf. A051634, A051635; A054800 .. A054803: members of balanced prime quartets (= consecutive primes in arithmetic progression); A054804 .. A054818: members of strong prime quartet, quintet, sextet; A054819 .. A054840: members of weak prime quartet, quintet, sextet, septets.
%Y A054814 Subsequence of A054808.
%K A054814 nonn
%O A054814 1,1
%A A054814 _Henry Bottomley_, Apr 10 2000
%E A054814 Edited and offset changed to 1 by _M. F. Hasler_, Oct 26 2018