MathDB

P 25

Source:

May 25, 2007

number theoryrelatively primeAdditive Number Theory

Problem Statement

Let

a

and

b

be positive integers with

\gcd(a, b)=1

. Show that every integer greater than

ab-a-b

can be expressed in the form

ax+by

, where

x, y \in \mathbb{N}_{0}