olymmath

JBMO-SL 2019 N2

  • Answer

Find all triples (p,q,r)(p, q, r) of prime numbers such that all of the following numbers are integers

p2+2qq+r,q2+9rr+p,r2+3pp+q\frac{p^{2}+2 q}{q+r}, \frac{q^{2}+9 r}{r+p}, \frac{r^{2}+3 p}{p+q}

Dataset text NuminaMath olympiads. Quoted with source.

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(2,3,7)

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