Number Theory
A free course that will change the way you think about numbers
What is Number Theory?
The History of Number Theory
Prime Numbers - The Building Blocks
The Fundamental Theorem of Arithmetic
Introduction to Proofs
Number Theory in the Real World
Understanding Divisibility
The Division Algorithm
Prime and Composite Numbers
The Sieve of Eratosthenes
Prime Factorization
The Fundamental Theorem of Arithmetic (Revisited)
Special Types of Prime Numbers
Divisibility Rules and Tricks
Introduction to GCD and LCM
Computing the GCD
Computing the LCM
Extended Euclidean Algorithm
Diophantine Equations with 1 Variable
Introduction to Congruences & Modular Arithmetic
Congruence Relations
Fermat's Little Theorem
Euler's Theorem
Wilson's Theorem
Applications of Modular Arithmetic
Linear Congruences
Systems of Congruences
Euler's Phi Function (Totient function)
Möbius Function and Möbius Inversion Formula
Sigma Function and Sum of Divisors
Abundant, Deficient, and Perfect Numbers
Number Theory changes once you know abstract algebra