OFFSET
1,2
COMMENTS
a(n) <= 2^(A011772(n)). If p > 2 is prime, then a(p) = 2^(p-1). - Chai Wah Wu, Mar 13 2016
If p == 1 mod 4 and prime, then a(2p) = 2^(p-1). If p == 3 mod 4 and prime, then a(2p) = 2^p. - Chai Wah Wu, Mar 30 2016
LINKS
Chai Wah Wu, Table of n, a(n) for n = 1..1000
FORMULA
a(n) = Min{x|Product[divisors of x] = s^n} = Min{x|A007955(x) = s^n}
EXAMPLE
n = 31: a(31) = 2^30 since Apply[Times, Divisors[2^30]] = 32768^31. n = 50: a(50) = 1296 because the product of 25 divisors is (6^4)^(25/2) = 6^50.
CROSSREFS
KEYWORD
nonn
AUTHOR
Labos Elemer, May 22 2001
EXTENSIONS
More terms from David Wasserman, Jun 19 2002
Definition clarified by Chai Wah Wu, Mar 13 2016
STATUS
approved