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Number theory

Definitions and resources

ScienceWISE definitions	External resources
	Number theory by Internet Encyclopedia of Science Number theory by Wikipedia

Subcategories and concepts

Subcategories

Concepts

Zeisel number Prime signature Unitary divisor Linear forms in logarithms List of mathematical functions List of types of functions Local analysis Lonely runner conjecture Lucas' theorem Lychrel number Marshall Hall's conjecture Mertens conjecture Mirimanoff's congruence Möbius transform Morton number MRB constant Multiplicative digital root Multiplicative partition Natural density Néron model Néron-Tate height Niven's constant Normal number Number Theory Foundation Numerical semigroup Ostrowski's theorem Overconvergent modular form P-adic analysis P-adic number Stern's diatomic series P-adic order Pairwise coprime Paley graph Pentagonal number theorem Perfect digit-to-digit invariant Perfect power Persistence of a number Postage stamp problem Poussin proof Abc conjecture Abel's summation formula Abelian variety of CM-type Abouabdillah's theorem Algebraic number Amenable number Amicable number Analytic number theory Arithmetic derivative Arithmetic hyperbolic 3-manifold Arithmetic variety Artin-Hasse exponential Aurifeuillian factorization Automorphic form Auxiliary function Ax-Kochen theorem Barnes G-function Basel problem Beal's conjecture Beaver bit-vector decision procedure Bernoulli number Bernoulli polynomials Bertrand's postulate Birch and Swinnerton-Dyer conjecture Bonse's inequality Brocard's problem Büchi's Problem Cabtaxi number Catalan's conjecture Champernowne constant Change-making problem Character group Chowla-Selberg formula Coin problem Collatz conjecture Computational number theory Congruent number Coprime Covering set Covering system Cunningham number Cunningham project Cyclic number Cyclotomic polynomial De Polignac's formula Dedekind sum Digit sum Digital root Diophantine approximation Dirichlet convolution Divisor function Ducci sequence Durfee square E-function Egyptian fraction Eisenstein's theorem Elkies trinomial curves Elliptic divisibility sequence Erdős-Graham problem Erdős-Kac theorem Erdős arcsine law Erdős-Fuchs theorem Eta function Euclid's lemma Euler function Euler product Euler's rule Euler's sum of powers conjecture Euler's totient function Faltings' theorem Farey sequence Feit-Thompson conjecture Fermat number Fermat quotient Fermat's Last Theorem Proofs of Fermat's little theorem Fermat-Catalan conjecture Formulas for generating Pythagorean triples Fourth power Friendly number Fundamental theorem of arithmetic Generalized taxicab number Glaisher-Kinkelin constant Golomb ruler Goormaghtigh conjecture Granville number Grothendieck-Katz p-curvature conjecture Haran's diamond theorem Harmonic divisor number Harmonic number Hasse's theorem on elliptic curves Hasse-Minkowski theorem Hecke character Height of a polynomial Hilbert's irreducibility theorem Holonomic constant Ideal lattice cryptography Integer square root Integer-valued polynomial Jacobi's four-square theorem Jacobi-Madden equation Jordan's totient function Knödel number Krasner's lemma Landsberg-Schaar relation Langlands program Legendre relation Lehmer's conjecture Lindemann-Weierstrass theorem Linear congruence theorem Primefree sequence Probabilistic number theory Proof of Fermat's Last Theorem for specific exponents Proof of weak Scholz conjecture Prosolvable group Proth number Prouhet-Tarry-Escott problem Prouhet-Thue-Morse constant Q-analog Q-Pochhammer symbol Q-Vandermonde identity Quadratic integer Quadratic irrational Quadratic reciprocity Quartic reciprocity Quote notation Radical of an integer Ramanujan's congruences Ramanujan's sum Random Fibonacci sequence Residue class-wise affine group Schanuel's conjecture Schnorr group Schoof's algorithm Schoof-Elkies-Atkin algorithm Schwartz-Bruhat function Semistable abelian variety Sidon sequence Sierpinski number Singmaster's conjecture Skew binary number system Skewes' number Smarandache function Sociable number Sophie Germain's theorem Sparse ruler Square-free integer Squared triangular number Stern-Brocot tree Stoneham number Størmer's theorem Strict differentiability Sum-free sequence Supernatural numbers Sylvester's sequence Szpiro's conjecture Tate twist Tate's algorithm Taxicab number Thâbit ibn Kurrah rule Theta function of a lattice Tijdeman's theorem Tunnell's theorem Turán-Kubilius inequality Vieta jumping Vinogradov's theorem Von Staudt-Clausen theorem Vorlesungen über Zahlentheorie Weil-Châtelet group Wiener-Ikehara theorem Wiles' proof of Fermat's Last Theorem Zeckendorf's theorem Znám's problem Zolotarev's lemma Zsigmondy's theorem Q-derivative Stirling number Factorial Greedy algorithm for Egyptian fractions Abundant number Achilles number Almost perfect number Almost prime Alternating factorial Antichain Arithmetic progression Ban number Beatty sequence Bell number Binomial coefficient Blum integer Calkin-Wilf tree Carmichael number Carol number Catalan number Colossally abundant number Complete sequence Composite number Congruum Cullen number Dedekind number Deficient number Delannoy number Genocchi number Giuga number Divisibility sequence Double Mersenne number Equidigital number Erdős-Woods number Euclid number Euclid-Mullin sequence Eulerian number Exponential factorial Extravagant number Factorial prime Factorion Figurate number Fortunate number Fractal sequence Frugal number Golomb sequence Hermite number Highly abundant number Highly composite number Highly cototient number Highly totient number Hilbert number Hofstadter sequence Home prime Hyperperfect number Idoneal number Interprime Jacobsthal number Juggler sequence Kynea number Lah number Lambek-Moser theorem Lazy caterer's sequence Lehmer number Leonardo number Leyland number Lobb numbers Lucas chain Lucas number Lucas sequence Lucas-Carmichael number Lucky number Lucky numbers of Euler Magic constant Meertens number Mersenne number Mersenne prime Mian-Chowla sequence Motzkin number Multiply perfect number Noncototient Nonhypotenuse number Nontotient Padovan sequence Pell number Perfect number Perfect totient number Perrin number Polite number Poly-Bernoulli number Powerful number Primary pseudoperfect number Prime number Primitive abundant number Primitive permutation group Primitive semiperfect number Primorial Primorial prime Pronic number Quasiperfect number Refactorable number Regular number Rough number Schröder number Semiperfect number Semiprime Singly and doubly even Smooth number Somos sequence Sparsely totient number Sphenic number Spt function Square triangular number Størmer number Strict weak ordering Strictly non-palindromic number Sublime number Super-Poulet number Superabundant number Superior highly composite number Superperfect number Thabit number Triangular number Ulam number Unitary perfect number Untouchable number Unusual number Wedderburn-Etherington number Weird number Wilson quotient Woodall number Real numbers Cryptography

General information

Categorization	Also known as
Mathematics (under construction)

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