MathDB
Miklós Schweitzer 1984- Problem 3

Source:

September 4, 2016
college contestsMiklos Schweitzer

Problem Statement

3. Let aa and bb be positive integers such that when dividing them by any prime pp, the remainder of aa is always less than or equal to the remainder of bb. Prove that a=ba=b. (N.16) [P. Erdos, P. P. Pálify]