6

Part of 2007 Puerto Rico Team Selection Test

Problems(1)

geometric mean of any subset is integer Puerto Rico TST 2007.6

Source:

The geometric mean of a set of

m

non-negative numbers is the

m

-th root of the product of these numbers. For which positive values of

n

, is there a finite set

S_n

n

positive integers different such that the geometric mean of any subset of

S_n

geometric meanalgebra