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 A366205 #16 Oct 06 2023 10:41:50
%S A366205 6870,25800,38238,125508,128112,220512,372612,3245688,4286748,
%T A366205 15433968,19659138,23283852,23494650,23579262,26233368,32131272,
%U A366205 32380728,34775988,41299848,58705260,61470132,63588432,63873960,91649652,92774808,106956252,124336212,159723300
%N A366205 Average of a twin prime pair which is the sum of the first k primes, for some k.
%H A366205 Paolo Xausa, <a href="/A366205/b366205.txt">Table of n, a(n) for n = 1..5000</a>
%F A366205 a(n) = A007504(A366206(n)).
%t A366205 With[{upto=10^4},Select[Accumulate[Prime[Range[upto]]],PrimeQ[#-1]&&PrimeQ[#+1]&]]
%Y A366205 Intersection of A007504 with A014574.
%Y A366205 Cf. A346706, A366094, A366206 (corresponding k values).
%K A366205 nonn
%O A366205 1,1
%A A366205 _Paolo Xausa_, Oct 04 2023