A392613 Numbers k such that A392858(k) divides k.

0, 1, 2, 3, 4, 6, 10, 12, 18, 24, 30, 42, 60, 90, 120, 150, 180, 210, 220, 330, 420, 630, 840, 1050, 1260, 1470, 1680, 1890, 2100, 2310, 2314, 2340, 2730, 4620, 6930, 9240, 11550, 13860, 16170, 18480, 20790, 23100, 25410, 27720, 30030, 30090, 32130, 39270, 60060, 60690, 90090, 120120, 150150, 180180, 210210, 240240

Offset

1,3

Links

Antti Karttunen, Table of n, a(n) for n = 1..153

Index entries for sequences related to primorial base.

Formula

{k such that k is a multiple of A028234(A276086(k))}.

Example

A392858(0) = 1 and 0 is also a multiple of 1, therefore 0 is included as the first term of this sequence.
A276086(220) = 495 = 3^2 * 5^1 * 11^1. Removing the least prime factor in toto leaves just 5*11, which divides 220 = 2^2 * 5^1 * 11^1, therefore 220 is included.

Prog

(PARI)
A392858(n) = { my(m=1, p=2, e=0); while(n, if(n%p, if(e, m *= p^(n%p), e++)); n = n\p; p = nextprime(1+p)); (m); };
is_A392613(k) = !(k % A392858(k));

Crossrefs

Cf. A028234, A276086, A392858.

Subsequence of A392612.

Subsequences: A002110, A060735.

Cf. also A328387, A351226.

Sequence in context: A330006 A288784 A322164 * A237823 A395617 A241547

Adjacent sequences: A392610 A392611 A392612 * A392614 A392615 A392616

Keyword

nonn,base

Author

Antti Karttunen, Jan 25 2026

Status

approved