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 A137263 #8 Jun 04 2023 14:50:29
%S A137263 26,50,56,86,134,170,176,236,254,260,266,356,386,446,473,506,515,560,
%T A137263 566,590,596,650,656,680,803,944,950,974,980,1016,1100,1106,1184,1190,
%U A137263 1220,1226,1268,1286,1313,1364,1370,1436,1496,1505,1517,1556,1604,1616
%N A137263 Interprimes (A024675) == 2 (mod 3).
%C A137263 In other words, a(n) -/+ d are consecutive primes;
%C A137263 all d's are multiples of 3 and most d's are even;
%H A137263 Harvey P. Dale, <a href="/A137263/b137263.txt">Table of n, a(n) for n = 1..1000</a>
%e A137263 Examples of pairs {a(n),d} with first occurrences of d:
%e A137263 {26,3}, {473,6}, {1268,9}, {4535,12}, {5366,15}, {9569,18}, {38522,21}, {28253,24}, {40316,27}, {43361,30}, {162176,33}, {31433,36}, {370988,39}, {461759,42}, {576836,45}, {360701,48}, {492170,57}.
%t A137263 Select[Mean/@Partition[Prime[Range[2,300]],2,1],Mod[#,3]==2&] (* _Harvey P. Dale_, Jun 04 2023 *)
%Y A137263 Cf. A024675.
%K A137263 nonn
%O A137263 1,1
%A A137263 _Zak Seidov_, Mar 12 2008, Mar 22 2008