Number Theory Lecture Notes

Lecture 01 - The Number System

Lecture 02 - Some Important Notations

Lecture 03 - Induction and Pigeonhole Principles

Lecture 04 - Divisibility and the Division Algorithm

Lecture 05 - Representation of Integers

Lecture 06 - GCDs, LCMs, and Euclidean Algorithm

Lecture 07 - Prime numbers

The fundamental theorem of arithmetic

Primality testing and factorization

Linear Diophantine equations