IMO 1979 LL FRA24

Let a and b be coprime integers, greater than or equal to 1.

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IMO 1979 LL FRA24

Origin: FRA

Problem

Let a and b be coprime integers, greater than or equal to 1. Prove that all integers n greater than or equal to (a −1)(b −1) can be written in the form: n = ua + vb, with (u, v) \inN \times N.