Elementary Number Theory

This post lists the definition, proofs and exercises from the lecture notes on Elementary Number Theory by Prof. William Chen which can be found here. The post is a work in progress. Throughout this post the set of natural number \(\mathbb{N}\) starts from \(0\) i.e. \(\mathbb{N} = \{0,1,2,3,\ldots\}\). The positive integers will be denoted by \(\mathbb{Z}^+\).


Chapter 1: Division and Factorization

1. Section 1.1: Division
2. Section 1.2: Factorization