# All My Solutions for Elementary Number Theory Problems (David M. Burton's 7th Edition)

All my solutions for Elementary Number Theory Problems (David M. Burton's 7th).

## Table of Contents

These are my solutions for Elementary Number Theory (David M. Burton's 7th Edition).

I am starting from Section 2.2 because Sections 1.1 - 2.1 are more like the basics (I may come back and update 1.1 - 2.1 in the future).

I will keep updating my solutions until I finish the whole book.

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I will use the theorems and definitions mentioned in the book. If you don't have the book and are not sure which theorem or definition I am using here, you can check this article, where I listed all theorems, corollaries, and definitions by following the book's order.

## Chapter 1 Preliminaries

1.1 Mathematical Induction

1.2 The Binomial Theorem

## Chapter 2 Divisibility Theory in the Integers

2.1 Early Number Theory

2.2 The Division Algorithm

2.3 The Greatest Common Divisor

2.4 The Euclidean Algorithm

2.5 The Diophantine Equation ax + by = c

## Chapter 3 Primes and Their Distribution

3.1 The Fundamental Theorem of Arithmetic

3.2 The Sieve Of Eratosthenes

3.3 The Goldbach Conjecture (in progress)