Number theory

Number theory is the field of mathematics associated with studying the integers.

Introductory Topics

The following topics make a good introduction to number theory.

• Counting divisors
• Diophantine equations
• Greatest common divisor
• Least common multiple
• Modular arithmetic
• Prime factorization
• Sieve of Eratosthenes

Intermediate Topics

• Diophantine equations
• Euler's theorem
• Fermat's little theorem
• Modular arithmetic
• Wilson's theorem

Olympiad Topics

• Diophantine equations
• Euler's theorem
• Fermat's little theorem
• Modular arithmetic
• Wilson's theorem