Wikibooks has a book on the topic of: **
Number Theory**

Wikimedia Commons has media related to
Number theory.

Traditionally, **
number theory** is the branch of
mathematics concerned with the properties of
integers and many of its open problems are easily understood even by non-mathematicians. More generally, the field has come to be concerned with a wider class of problems that arise naturally from the study of integers. Number theory may be subdivided into several fields according to the methods used and the questions investigated. See for example the
list of number theory topics.

This
category corresponds roughly to **
MSC 11-XX** *Number theory*; see
11-XX at
MathSciNet and
11-XX at
zbMATH.

This category has the following 27 subcategories, out of 27 total.

- Arithmetic dynamics (35 P)

- Geometry of numbers (11 P)

- Integer partitions (14 P)

- Langlands program (19 P)

- P-adic numbers (15 P)
- Perfect numbers (11 P)

- Squares in number theory (37 P)

- Unsolved problems in number theory (105 P)

- Number theory stubs (120 P)

The following 200 pages are in this category, out of approximately 216 total. This list may not reflect recent changes.

(previous page) ( next page)- Abc conjecture
- Abel's summation formula
- Amenable number
- Amicable triple
- Arithmetic derivative
- Arithmetic Fuchsian group
- Arithmetic group
- Arithmetic hyperbolic 3-manifold
- Arithmetic topology
- Arithmetic zeta function
- Artin conductor
- Artin–Hasse exponential
- Aurifeuillean factorization
- Automorphic number
- Auxiliary function

- Cabtaxi number
- Champernowne constant
- Change-making problem
- Character group
- Cobham's theorem
- Composition (combinatorics)
- Computational number theory
- Contou-Carrère symbol
- Coprime integers
- Covering set
- Crank conjecture
- Cube (algebra)
- Cunningham number
- Cunningham Project
- Cyclic number
- Cyclic number (group theory)
- Cyclotomic polynomial

- Hall–Higman theorem
- Haran's diamond theorem
- Günter Harder
- Harmonic divisor number
- Harmonic number
- Hecke algebra
- Hecke character
- Maria Heep-Altiner
- Hilbert's inequality
- History of the Theory of Numbers
- Hodge–Arakelov theory
- Hodge–Tate module
- Hooley's delta function
- Hundred Fowls Problem
- Hurwitz class number
- Hydra game
- Hyperharmonic number

- P-adic analysis
- P-adic distribution
- P-adic gamma function
- P-adic number
- P-adic Teichmüller theory
- Paley graph
- Perfect power
- Persistence of a number
- Poussin proof
- Prime geodesic
- Prime omega function
- Prime power
- Prime signature
- Primefree sequence
- Primon gas
- Probabilistic number theory
- Prosolvable group
- Prouhet–Thue–Morse constant

- Schnorr group
- Schoof–Elkies–Atkin algorithm
- Schoof's algorithm
- Schwartz–Bruhat function
- Selmer group
- Seventh power
- Short integer solution problem
- Sidon sequence
- Signed-digit representation
- Sixth power
- Skew binary number system
- Skewes's number
- Sociable number
- Solenoid (mathematics)
- Sparse ruler
- Square number
- Square-free integer
- Squared triangular number
- Stoneham number