A380527 Numbers k such that k is a multiple of A327860(k), where A327860 is the arithmetic derivative of the primorial base exp-function.

1, 2, 6, 7, 8, 30, 36, 210, 2310, 2340, 2520, 2556, 30030, 30240, 32340, 510510, 510720, 540540, 9699690, 9699720, 9702000, 9729720, 10210200, 223092870, 223092900, 223093080, 223095180, 232792560, 6469693230, 6469693236, 6469693440, 6469695540, 6692786100

Offset: 1

Author

Antti Karttunen, Feb 11 2025

Keywords

• nonn
• more

Comments

It is conjectured that only terms of A276156 occur here. If any term of A177711 is included, then it must be one of the terms of A381037.

a(34) > A143293(10).

Links

• Index entries for sequences related to primorial base.

Crossrefs

Cf. A003415, A053669, A143293, A276086, A327860.

Subsequence of A381035. Conjectured to be a subsequence of A276156.

Subsequences: A002110, A328110.

Cf. also A177711, A351087, A381037.

Programs

PARI

A327860(n) = { my(s=0, m=1, p=2, e); while(n, e = (n%p); m *= (p^e); s += (e/p); n = n\p; p = nextprime(1+p)); (s*m); };
is_A380527(n) = !(n%A327860(n));