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A perfect square

Source: Bulgarian NMO, 2013, p1

July 24, 2014
modular arithmeticnumber theoryDiophantine equationnumber theory proposed

Problem Statement

Find all prime numbers p,qp,q, for which pq+1+qp+1p^{q+1}+q^{p+1} is a perfect square.
Proposed by P. Boyvalenkov
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