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HOMC(Vietnam)

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January 28, 2016
algebra

Problem Statement

Let be given an open interval ( \alpha; \beta) with α−β=127\alpha - \beta = \frac{1}{27}. Determine the maximum number of irreducible fractions ab\frac{a}{b} in ( \alpha; \beta) with 1≤b≤20071 \leq b \leq 2007?
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