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Regional Olympiad - FBH 2011 Grade 10 Problem 2

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2011

September 26, 2018
number theoryprime numbers

Problem Statement

If p>2p>2 is prime number and mm and nn are positive integers such that mn=1+12+13+...+1p−1\frac{m}{n}=1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{p-1} Prove that pp divides mm
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