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A380527
Numbers k such that k is a multiple of A327860(k), where A327860 is the arithmetic derivative of the primorial base exp-function.
4
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
1,2
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).
PROG
(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));
CROSSREFS
Subsequence of A381035. Conjectured to be a subsequence of A276156.
Subsequences: A002110, A328110.
Cf. also A177711, A351087, A381037.
Sequence in context: A157671 A196747 A261691 * A351088 A296443 A102046
KEYWORD
nonn,more
AUTHOR
Antti Karttunen, Feb 11 2025
STATUS
approved