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2019 Cono Sur Mathematical Olympiad, P4

Source:

August 28, 2019
number theoryprimesDiophantine equationcono sur

Problem Statement

Find all positive prime numbers p,q,r,sp,q,r,s so that p2+2019=26(q2+r2+s2)p^2+2019=26(q^2+r^2+s^2).
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