1997 OIM Problems/Problem 1
Problem
Let be a real number that satisfies the following property:
For each pair of positive integers and , with multiple of we have that is a multiple of .
Prove that is an integer.
Note: If is a real number, we denote by the largest integer less than or equal to .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.