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 A358274 #33 Dec 21 2022 21:38:36
%S A358274 2,7,13,37,61,79,107,113,151,181,199,239,271,281,349,359,397,457,503,
%T A358274 541,557,577,613,733,769,787,857,863,953,983,1021,1061,1069,1163,1193,
%U A358274 1213,1399,1429,1439,1459,1493,1583,1619,1667,1721,1733,1811,1907,2017,2053
%N A358274 a(n) is the prime before A262275(n).
%C A358274 The sum of the individual gaps formed by the subtraction of the next lower prime number from each prime in A262275 approximates the prime counting function at very large n.
%D A358274 Michael P. May, "Relationship Between the Prime Counting Function and a Unique Prime Number Sequence", accepted for publication in the March 2023 edition of the Missouri Journal of Mathematical Sciences.
%F A358274 a(n) = A262275(n) - A348677(n).
%F A358274 a(n) = A151799(A262275(n)).
%e A358274 a(3) = A262275(3) - A348677(3) = 17 - 4 = 13.
%o A358274 (PARI) b(n) = {my(k=0); while(isprime(n), k++; n=primepi(n)); k};
%o A358274 apply(x->precprime(x-1), apply(prime, select(n->b(n)%2, [1..500]))) \\ _Michel Marcus_, Nov 18 2022
%Y A358274 Cf. A151799, A262275, A348677.
%K A358274 nonn
%O A358274 1,1
%A A358274 _Michael P. May_, Nov 11 2022