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 A092540 #12 Jul 01 2025 16:17:21
%S A092540 3,13,883,237051898781,17911135064090123664377811162569837,
%T A092540 1230843829352095122161574066100819070684162503
%N A092540 Primes such that their binary representation coincides with first n terms of A051023 for some n.
%C A092540 Primes appearing in A092539.
%C A092540 The next term is too large to include.
%H A092540 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Rule30.html">Rule 30</a>.
%e A092540 13 is a member because 13_10 = 1101_2 and {1,1,0,1} are the first 4 terms in A051023.
%t A092540 a[n_] := If[PrimeQ[p=A092539[[n]]], p]
%Y A092540 Cf. A051023, A092539.
%K A092540 nonn
%O A092540 1,1
%A A092540 _Zak Seidov_, Feb 27 2004
%E A092540 a(6) from _Eric W. Weisstein_, Feb 27 2004.