B2

Part of 2017 Simon Marais Mathematical Competition

Problems(1)

A perfect square

Source: Bulgarian NMO, 2013, p1

Find all prime numbers

p,q

p^{q+1}+q^{p+1}

is a perfect square.
Proposed by P. Boyvalenkov

modular arithmeticnumber theoryDiophantine equationnumber theory proposed