70.5% of Contestants Scored Zero on This IMO Problem
At the 1988 International Mathematical Olympiad, 189 of the 268 contestants scored zero on Problem 6. The statement looks innocent: If a and b are positive integers and (a² + b²) / (ab + 1) is an integer, prove that the quotient must be a perfect square.
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The First-Ever IMO Problem Has a Beautiful One-Line Proof
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a super nice functional equation
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The Most Deceptive Infinite Series in Mathematics
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