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 A340205 #6 Jan 01 2021 12:02:51
%S A340205 0,0,1,1,2,2,3,4,4,4,5,6,7,7,7,8,9,10,10,10,11,12,12,13,14,14,14,15,
%T A340205 16,17,17,17,17,17,18,19,19,20,21,21,21,21,21,22,23,24,24,24,25,26,26,
%U A340205 26,26,27,27,28,29,29,29,30,31,31,31,32,32,33,33,33,34,35,35,35,35,35
%N A340205 Number of primes in A339443 among the values of A339443(k) for k = 1..n.
%H A340205 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A340205 a(n) = Sum_{k=1..n} pi(c(k)) - pi(c(k)-1), where c = A339443.
%e A340205 a(12) = 6; The first 12 values of A339443 are 1, 1, 2, 1, 3, 1, 2, 2, 4, 1, 3, 2 (of which, 6 are prime).
%Y A340205 Cf. A000720, A339443, A340203.
%K A340205 nonn
%O A340205 1,5
%A A340205 _Wesley Ivan Hurt_, Dec 31 2020