0
$\begingroup$

Question: Is the following statement true?

Statement: Let $a, b \ge 1$ be coprime numbers. Then $\exists N \ge 0 $ $\forall n \ge N$ $\exists u, v \ge 0$ with $n=au+bv$.
Let $N(a,b)$ be the smallest possible $N$. Then $N(a,b) = (a-1)(b-1)$.

$\endgroup$

marked as duplicate by Bill Dubuque elementary-number-theory Jul 8 '17 at 13:40

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.