A356303 The least k >= 0 such that n and A276086(n-k) are relatively prime, where A276086 is the primorial base exp-function.

0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 6, 0, 0, 0, 0, 14, 0, 0, 0, 0, 16, 2, 0, 0, 0, 20, 0, 2, 0, 0, 0, 0, 0, 2, 0, 30, 0, 0, 0, 2, 6, 0, 18, 0, 0, 14, 0, 0, 0, 20, 16, 2, 0, 0, 0, 20, 28, 2, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 2, 66, 0, 0, 0, 0, 14, 0, 48, 0, 0, 16, 2, 0, 0, 60, 20, 0, 2, 0, 0, 0, 62, 0, 2, 0, 0, 0, 0, 70, 2, 6

Offset

0,4

Comments

All terms are even.

Links

Antti Karttunen, Table of n, a(n) for n = 0..11550

Antti Karttunen, Data supplement: n, a(n) computed for n = 0..65537

Antti Karttunen, Scatter plot up to n=65537

Index entries for sequences related to primorial base

Prog

(PARI)
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A356303(n) = { my(k=0); while(gcd(A276086(n-k), n)!=1, k++); (k); };

Crossrefs

Cf. A276086, A324198.

Cf. A324583 (positions of zeros).

Cf. also A356302, A356305.

Sequence in context: A028633 A316898 A351254 * A238429 A332671 A074039

Adjacent sequences: A356300 A356301 A356302 * A356304 A356305 A356306

Keyword

nonn,look

Author

Antti Karttunen, Nov 03 2022

Status

approved