MathDB
Prime powers

Source: ITAMO 2019 #2

May 3, 2019
number theoryITAMO 2019

Problem Statement

Let p,qp,q be prime numbers.. Prove that if p+q2p+q^2 is a perfect square,, then p2+qnp^2+q^n is not a perfect square for any positive integer n.n.
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