3rd Mexico 1989 Problem 2 Find integers m and n such that n 2 is a multiple of m, m 3 is a multiple of n 2 , n 4 is a multiple of m 3 , m 5 is a multiple of n 4 , but n 6 is not a multiple of m 5 .
For example, take n = 2 4 , m = 2 5 . 3rd Mexican 1989 © John Scholes jscholes@kalva.demon.co.uk 21 February 2004 Last corrected/updated 21 Feb 04