A365460 -id:A365460 - cp's OEIS frontend

A365461 Sum of digits when A181821(n) is written in primorial base (A049345).

1, 1, 2, 1, 2, 2, 4, 1, 2, 4, 2, 2, 4, 4, 4, 1, 6, 6, 6, 4, 8, 4, 6, 2, 2, 8, 6, 2, 12, 6, 16, 1, 6, 10, 4, 6, 16, 10, 8, 4, 10, 6, 10, 4, 12, 10, 6, 2, 8, 6, 10, 8, 12, 10, 8, 8, 20, 10, 18, 2, 26, 14, 8, 1, 12, 12, 22, 10, 20, 12, 28, 6, 28, 14, 10, 10, 6, 8, 34, 4, 8, 18, 38, 4, 10, 14, 20, 6, 52, 10, 12, 10, 24

Offset: 1

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Antti Karttunen, Sep 15 2023

nonn

Minimal number of primorials (A002110) that add to A181821(n).

Antti Karttunen, Table of n, a(n) for n = 1..65537
Index entries for sequences computed from indices in prime factorization
Index entries for sequences related to primorial base

Cf. A002110, A049345, A122111, A181821, A276150, A324888, A365460.

A181821(n) = { my(f=factor(n),p=0,m=1); forstep(i=#f~,1,-1,while(f[i,2], f[i,2]--; m *= (p=nextprime(p+1))^primepi(f[i,1]))); (m); };
A276150(n) = { my(s=0, p=2, d); while(n, d = (n%p); s += d; n = (n-d)/p; p = nextprime(1+p)); (s); };
A365461(n) = A276150(A181821(n));

a(n) = A276150(A181821(n)).
a(n) = A324888(A122111(n)).
a(n) >= A365460(n).

cp's OEIS Frontend

A365461 Sum of digits when A181821(n) is written in primorial base (A049345).

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