This is a list of number theory topics, by Wikipedia page. See also:

Divisibility

Fractions

Modular arithmetic

Arithmetic functions

Analytic number theory: additive problems

Algebraic number theory

See list of algebraic number theory topics

Quadratic forms

L-functions

Diophantine equations

Diophantine approximation

Sieve methods

Named primes

Combinatorial number theory

Computational number theory

Note: Computational number theory is also known as algorithmic number theory.

Primality tests

Integer factorization

Pseudo-random numbers

see also List of random number generators.

Arithmetic dynamics

History