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(p^{2q}+q^{2p})/(p^3-pq+q^3)= r where p,q,r primes

Source: Mathley 2014.3 p7

August 18, 2020

number theoryprimesDiophantine equationdiophantine

Problem Statement

Find all primes

p,q, r

such that

\frac{p^{2q}+q^{2p}}{p^3-pq+q^3} = r

.
Titu Andreescu, Mathematics Department, College of Texas, USA