A373600 a(n) is the sum of prime factors (with multiplicity) in A276086(n), where A276086 is the primorial base exp-function.

0, 2, 3, 5, 6, 8, 5, 7, 8, 10, 11, 13, 10, 12, 13, 15, 16, 18, 15, 17, 18, 20, 21, 23, 20, 22, 23, 25, 26, 28, 7, 9, 10, 12, 13, 15, 12, 14, 15, 17, 18, 20, 17, 19, 20, 22, 23, 25, 22, 24, 25, 27, 28, 30, 27, 29, 30, 32, 33, 35, 14, 16, 17, 19, 20, 22, 19, 21, 22, 24, 25, 27, 24, 26, 27, 29, 30, 32, 29, 31, 32, 34

Offset: 0

Author

Antti Karttunen, Jun 18 2024

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..30030
• Index entries for sequences related to primorial base

Crossrefs

Cf. A001414, A276086, A373601, A373602 (k such that a(k) is a multiple of 3).

Programs

PARI

A373600(n) = { my(p=2, s=0); while(n, s += (n%p)*p; n = n\p; p = nextprime(1+p)); (s); };

Formula

a(n) = A001414(A276086(n)).