MathDB

8-9.1

Part of 2018 239 Open Mathematical Olympiad

Problems(1)

remainders are equal

Source: 239 Open MO, 2012, Junior League, Problem 1

4/4/2023
Given a prime number pp. A positive integer xx is divided by pp with a remainder, and the number p2p^2 is divided by xx with a remainder. The remainders turned out to be equal. Find them
Proposed by Sergey Berlov
number theory