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p^{2}+2q^{2}=r^{2}

Source: 4th QEDMO 2007 p1

November 9, 2020
Diophantine equationdiophantinenumber theory

Problem Statement

Find all primes p,p, q,q, rr satisfying p2+2q2=r2.p^{2}+2q^{2}=r^{2}.