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QUESTION

Let x, y be positive integers such that gcd(x, y) = 1. Prove there is an integer K such that every integer n K can be written as n = xa + yb where a,...

Let x, y be positive integers such that gcd(x, y) = 1.

Prove there is an integer K such that every integer n ≥ K can be written as n = xa + yb where a, b ∈ Z are nonnegative. 

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