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\frac{68}{n+70},...,\frac{69}{n+71},\frac{70}{n+72},...,\frac{133}{n+135}

Source: Switzerland - Swiss TST 2001 p8

February 18, 2020
Irreduciblenumber theory

Problem Statement

Find two smallest natural numbers nn for which each of the fractions 68n+70,69n+71,70n+72,...,133n+135\frac{68}{n+70},\frac{69}{n+71},\frac{70}{n+72},...,\frac{133}{n+135} is irreducible.
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