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 A333393 #5 Mar 18 2020 16:26:20
%S A333393 3,7,29,1873,7672913,8045632442437,
%T A333393 2490002635466567109268165355290155548689
%N A333393 Primes whose binary representation corresponds to the characteristic function of 1, 2, 3, 5, 7, ... (1 followed by primes).
%C A333393 The next term is too large to include.
%e A333393 1873 (in base 10) = 11101010001 (in base 2).
%e A333393 ||| | | |
%e A333393 123 5 7 11
%t A333393 Select[Table[2^(Prime[n] - 1) + Sum[2^(Prime[n] - Prime[k]), {k, 1, n}], {n, 1, 32}], PrimeQ[#] &]
%Y A333393 Primes in A333392.
%Y A333393 Cf. A000040, A004676, A008578, A080339.
%K A333393 nonn,base
%O A333393 1,1
%A A333393 _Ilya Gutkovskiy_, Mar 18 2020