Circle in the Round

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21Triangle geometry / Number theory / Circles / Circumscribed circle / Triangle / Coprime / Geometry / Triangles / Geometric shapes

53-rd Mathematical Olympiad in Poland Final Round, April 3–4, 2002 First Day 1. Determine all positive integers a, b, c such that the numbers a2 + 1 and b2 + 1 are prime and the following equality (a2 + 1)(b2 + 1) = c2

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Source URL: www.mimuw.edu.pl

Language: English - Date: 2002-04-19 06:41:22
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