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CONO-SUR 1999 Problem 1

    Find the smallest positive integer nn such that the 7373 fractions 19n+21,20n+22,21n+23,...,91n+93\frac{19}{n+21}, \frac{20}{n+22},\frac{21}{n+23},...,\frac{91}{n+93} are all irreducible.

    Dataset text AI-MO AoPS. Quoted with source.

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