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Regional Olympiad - FBH 2018 Grade 9 Problem 3

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2018

September 18, 2018
number theoryprime numbersPerfect Square

Problem Statement

Let pp and qq be prime numbers such that p2+pq+q2p^2+pq+q^2 is perfect square. Prove that p2āˆ’pq+q2p^2-pq+q^2 is prime
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