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RMO 2013 M2

  • Mumbai Region

Find all triples (p,q,r)(p,q,r) of primes such that pq=r+1pq=r+1 and 2(p2+q2)=r2+12(p^2+q^2)=r^2+1 .

Dataset text AI-MO AoPS. Quoted with source.

Official text: Indian Regional Mathematical Olympiad 2013 official paper, page 1.

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