A355944 a(n) = smallest positive k such that n divides k*A276086(k), where A276086 is primorial base exp-function.

1, 1, 2, 4, 5, 2, 7, 8, 3, 5, 11, 4, 13, 7, 5, 16, 17, 3, 19, 8, 14, 11, 23, 8, 10, 13, 9, 28, 29, 5, 31, 32, 11, 17, 7, 4, 37, 19, 26, 8, 41, 14, 43, 44, 5, 23, 47, 16, 35, 10, 17, 52, 53, 9, 11, 32, 38, 29, 59, 8, 61, 31, 21, 64, 13, 11, 67, 68, 23, 7, 71, 16, 73, 37, 10, 76, 33, 26, 79, 16, 27, 41, 83, 28, 17, 43

Offset: 1

Author

Antti Karttunen, Jul 27 2022

Keywords

• nonn
• look

Comments

a(n) is the smallest positive k such that A324580(k) is a multiple of n.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..65537
• Index entries for sequences related to primorial base

Crossrefs

Cf. A276086, A324539, A324540, A324541, A324580, A355945, A356151, A356152, A356153, A356160 (fixed points, where a(n)=n), A356161.

Cf. also A344005, A356164.

Programs

PARI

A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A355944(n) = for(k=1, oo, if((k*A276086(k))%n==0, return(k)));

Formula

a(n) = n - A355945(n).