A328579 a(n) = A053669(A276086(A276086(n))).

3, 2, 5, 2, 7, 2, 5, 2, 7, 2, 11, 2, 3, 2, 11, 2, 7, 2, 5, 2, 13, 2, 13, 2, 3, 2, 13, 2, 17, 2, 3, 2, 7, 2, 5, 2, 5, 2, 11, 2, 13, 2, 3, 2, 13, 2, 13, 2, 5, 2, 17, 2, 17, 2, 3, 2, 17, 2, 11, 2, 3, 2, 11, 2, 7, 2, 5, 2, 13, 2, 13, 2, 3, 2, 17, 2, 17, 2, 5, 2, 17, 2, 19, 2, 3, 2, 13, 2, 19, 2, 3, 2, 13, 2, 17, 2, 5, 2, 17, 2, 17, 2, 3, 2, 17, 2

Offset: 0

Author

Antti Karttunen, Oct 20 2019

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..32768
• Index entries for sequences related to primorial base

Crossrefs

Cf. A000040, A053669, A276086, A276087, A326810, A328569, A328578.

Programs

PARI

A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A326810(n) = { my(i=1, p=2); while(n && (n%p), n = n\p; p = nextprime(1+p)); (p); };
A328579(n) = A326810(A276086(n));

PARI

A053669(n) = forprime(p=2, , if(n%p, return(p))); \\ From A053669
A328579(n) = A053669(A276086(A276086(n)));

Formula

a(n) = A053669(A276087(n)).

a(n) = A326810(A276086(n)).

a(n) = A000040(A328578(n)).

For all even n, a(n) > A328569(n).