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 A351368 #7 Jun 29 2024 23:35:40
%S A351368 0,3,5,3,11,8,17,3,5,14,31,8,41,20,16,3,59,8,67,14,22,34,83,8,11,44,5,
%T A351368 20,109,19,127,3,36,62,28,8,157,70,46,14,179,25,191,34,16,86,211,8,17,
%U A351368 14,64,44,241,8,42,20,72,112,277,19,283,130,22,3,52,39,331,62,88
%N A351368 a(n) = Sum_{p|n, p prime} prime(p).
%C A351368 Inverse Möbius transform of prime(n) * c(n), where c(n) is the characteristic function of primes (A010051). - _Wesley Ivan Hurt_, Jun 29 2024
%F A351368 From _Wesley Ivan Hurt_, Jun 29 2024: (Start)
%F A351368 a(n) = Sum_{d|n} prime(d) * c(d), where c = A010051.
%F A351368 a(p^k) = prime(p), for prime p and k >= 1. (End)
%e A351368 a(6) = 8; a(6) = Sum_{p|6, p prime} prime(p) = prime(2) + prime(3) = 3 + 5 = 8.
%t A351368 Table[DivisorSum[n, Prime[#] &, PrimeQ[#] &], {n, 100}] (* _Wesley Ivan Hurt_, Jun 29 2024 *)
%Y A351368 Cf. A000040, A010051.
%K A351368 nonn
%O A351368 1,2
%A A351368 _Wesley Ivan Hurt_, Feb 08 2022