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A079871 a(1)=1 and for n>1: ceiling(n^(1/Omega(n)))^Omega(n), where Omega(n) is the total number of prime factors of n (A001222). 6
1, 2, 3, 4, 5, 9, 7, 8, 9, 16, 11, 27, 13, 16, 16, 16, 17, 27, 19, 27, 25, 25, 23, 81, 25, 36, 27, 64, 29, 64, 31, 32, 36, 36, 36, 81, 37, 49, 49, 81, 41, 64, 43, 64, 64, 49, 47, 243, 49, 64, 64, 64, 53, 81, 64, 81, 64, 64, 59, 81, 61, 64, 64, 64, 81, 125, 67, 125, 81, 125, 71 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..71.

FORMULA

a(n) = A079870(n)^A001222(n).

a(n) >= A079869(n); A020639(n) <= a(n) <= A006530(n);

a(m) = m = A079869(m) iff m is a prime power (A000961).

PROG

(PARI) a(n) = if (n==1, 1, ceil(n^(1/bigomega(n)))^bigomega(n)); \\ Michel Marcus, May 31 2016

CROSSREFS

Cf. A001222, A006530, A020639, A068794, A068795, A079869, A079870.

Sequence in context: A298268 A222251 A241916 * A273291 A130064 A323136

Adjacent sequences:  A079868 A079869 A079870 * A079872 A079873 A079874

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Jan 13 2003

STATUS

approved

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Last modified July 17 23:21 EDT 2019. Contains 325109 sequences. (Running on oeis4.)