• Template:Numtheory-stub

A

• Additive number theory
• Adleman–Pomerance–Rumely primality test
• Agoh–Giuga conjecture
• Almost perfect number
• Anomalous cancellation
• Apotome
• Arithmetic combinatorics
• Arithmetic derivative
• Arithmetic topology
• Artin–Hasse exponential
• Aryabhata algorithm
• Aryabhata equation
• Associative magic square
• Average order of an arithmetic function

B

• Backhouse's constant
• Balanced prime
• Birch–Tate conjecture
• Blum integer
• Bonse's inequality
• Brocard's conjecture
• Brocard's problem
• Brun sieve
• Brun–Titchmarsh theorem

C

• Carmichael's totient function conjecture
• Carol number
• Catalan's conjecture
• Catalan's problem
• Chen prime
• Chen's theorem
• Chowla–Selberg formula
• Colossally abundant number
• Completely multiplicative function
• Computational number theory
• Congruum
• Brian Conrey
• Continued fraction factorization
• Conway's LUX method for magic squares
• Cubic field
• Cyclotomic unit

D

• Dyson's transform

E

• Elliptic curve primality proving
• Elliptic unit
• Equivariant L-function
• Erdős conjecture on arithmetic progressions
• Erdős–Fuchs theorem
• Erdős–Woods number
• Euclid number

E cont.

• Eventually (mathematics)
• Exponential factorial

F

• Factor base
• Fermat polygonal number theorem
• Fermat's Enigma
• Fibonacci prime
• Friedlander–Iwaniec theorem
• Frobenius pseudoprime
• Fundamental unit (number theory)

G

• Gaussian rational
• Genus field
• Glaisher's theorem
• Golomb sequence
• Green–Tao theorem
• Gregory number

H

• Heath-Brown–Moroz constant
• Hecke operator
• Hermite normal form
• Hexagonal pyramidal number
• Hilbert's eighth problem
• Hilbert's ninth problem
• Holonomic constant
• Hosoya's triangle

I

• Industrial-grade prime
• Interprime
• Inversive congruential generator

J

• Jordan's totient function

K

• KANT (mathematics)
• Knödel number

L

• Landau–Ramanujan constant
• Lattice reduction
• Legendre's conjecture
• Legendre's equation
• Lehmer number
• Lehmer's conjecture
• Leibniz harmonic triangle
• Leyland number
• Lucas' theorem

M

• Maier's theorem
• Manin obstruction
• Marshall Hall's conjecture
• Mian–Chowla sequence
• Mills' constant
• Minimal prime (number theory)
• Minkowski's bound
• Monogenic field

N

• New York Number Theory Seminar
• Nonhypotenuse number

N cont.

• Norm of an ideal
• Normal order of an arithmetic function

O

• Order (number theory)
• Overconvergent modular form

P

• P-adic order
• Pairwise coprime
• Pentagonal number
• Perfect power
• Perron number
• Pillai prime
• Pohlig–Hellman algorithm
• Poussin proof
• Prime place
• Probabilistic number theory
• Proth number
• Pythagorean prime

Q

• Quadratic irrational
• Quasiperfect number

R

• Radical of an integer
• Ramanujan prime
• Rational point
• Refactorable number
• Riemann–von Mangoldt formula
• Riesel number
• Rigid analytic space

S

• S-unit
• Siegel–Walfisz theorem
• Solinas prime
• Sphenic number
• Stoneham number
• Super-prime
• Superabundant number
• Superior highly composite number
• Szpiro's conjecture

T

• Thue equation
• Thâbit ibn Kurrah rule

U

• Ulam numbers
• Undulating number
• Unitary divisor
• Unitary perfect number
• Unusual number

V

• Vandiver's conjecture

W

• Wagstaff prime
• Waring's prime number conjecture
• Weil–Châtelet group
• Wilson prime