 List of number theory topics

This is a list of number theory topics, by Wikipedia page. See also
Factors
 Composite number
 Even and odd numbers
 Divisor, aliquot part
 Prime number, prime power
 Bonse's inequality
 Prime factor
 Formula for primes
 Factorization
 RSA number
 Fundamental theorem of arithmetic
 Squarefree
 Square number
 Power of two
 Integervalued polynomial
Fractions
 Rational number
 Unit fraction
 Irreducible fraction = in lowest terms
 Dyadic fraction
 Recurring decimal
 Cyclic number
 Farey sequence
 Ford circle
 Stern–Brocot tree
 Dedekind sum
 Egyptian fraction
Modular arithmetic
 Montgomery reduction
 Modular exponentiation
 Linear congruence theorem
 Method of successive substitution
 Chinese remainder theorem
 Fermat's little theorem
 Fermat quotient
 Euler's totient function
 Euler's theorem
 Wilson's theorem
 Primitive root modulo n
 Quadratic residue
 Congruence of squares
 Luhn formula
 Mod n cryptanalysis
Arithmetic functions
 Multiplicative function
 Additive function
 Dirichlet convolution
 Erdős–Kac theorem
 Möbius function
 Divisor function
 Liouville function
 Partition function (number theory)
 Integer partition
 Bell numbers
 Landau's function
 Pentagonal number theorem
 Bell series
 Lambert series
Analytic number theory: additive problems
 Twin prime
 Cousin prime
 Prime quadruplet
 Sexy prime
 Sophie Germain prime
 Cunningham chain
 Goldbach's conjecture
 Second Hardy–Littlewood conjecture
 Hardy–Littlewood circle method
 Schinzel's hypothesis H
 Bateman–Horn conjecture
 Waring's problem
 Cabtaxi number
 Schnirelmann density
 Sumset
 Landau–Ramanujan constant
 Sierpinski number
 Niven's constant
Algebraic number theory
See list of algebraic number theory topics
Quadratic forms
Lfunctions
 Riemann zeta function
 Dirichlet series
 Euler product
 Prime number theorem
 Riemann hypothesis
 Dirichlet character
 Dirichlet Lseries
 Dirichlet's theorem on arithmetic progressions
 Functional equation (Lfunction)
 Chebotarev's density theorem
 Local zeta function
 Modular form
 Birch and SwinnertonDyer conjecture
 Automorphic form
 Selberg trace formula
 Artin conjecture
 Sato–Tate conjecture
 Langlands program
 modularity theorem
Diophantine equations
 Pythagorean triple
 Pell's equation
 Elliptic curve
 Nagell–Lutz theorem
 Mordell–Weil theorem
 Mazur's torsion theorem
 Congruent number
 Arithmetic of abelian varieties
 Elliptic divisibility sequences
 Fermat's Last Theorem
 Mordell conjecture
 Euler's sum of powers conjecture
 abc Conjecture
 Catalan's conjecture
 Pillai's conjecture
 Hasse principle
 Diophantine set
 Matiyasevich's theorem
 One thousand seven hundred and twenty nine
Diophantine approximation
 Davenport–Schmidt theorem
 Irrational number
 Square root of two
 Quadratic irrational
 Integer square root
 Algebraic number
 Pisot–Vijayaraghavan number
 Salem number
 Transcendental number
 Erdős–Borwein constant
 Liouville number
 Continued fraction
 Mathematical constant (sorted by continued fraction representation)
 Khinchin's constant
 Lévy's constant
 Lochs' theorem
 Gauss–Kuzmin–Wirsing operator
 Minkowski's question mark function
 Generalized continued fraction
 Kronecker's theorem
 Thue–Siegel–Roth theorem
 Prouhet–Thue–Morse constant
 Gelfond–Schneider constant
 Equidistribution mod 1
 Beatty's theorem
 Littlewood conjecture
 Discrepancy function
 Lowdiscrepancy sequence
 Illustration of a lowdiscrepancy sequence
 Constructions of lowdiscrepancy sequences
 Halton sequences
 Geometry of numbers
 Mahler measure
 Effective results in number theory
 Mahler's theorem
Sieve methods
Named primes
 Chen prime
 Cullen prime
 Fermat prime
 Sophie Germain prime, safe prime
 Mersenne prime
 New Mersenne conjecture
 Great Internet Mersenne Prime Search
 Newman–Shanks–Williams prime
 Primorial prime
 Wagstaff prime
 Wall–Sun–Sun prime
 Wieferich prime
 Wilson prime
 Wolstenholme prime
 Woodall prime
 Prime pages
Combinatorial number theory
 Covering system
 Small set (combinatorics)
 Erdős–Ginzburg–Ziv theorem
 Polynomial method
 Van der Waerden's theorem
 Szemerédi's theorem
 Collatz conjecture
 Gilbreath's conjecture
 Erdős–Graham conjecture
 Znám's problem
Computational number theory
 Algorithmic number theory
 Residue number system
 Cunningham project
 Quadratic residuosity problem
Primality tests
 Prime factorization algorithm
 Trial division
 Sieve of Eratosthenes
 Probabilistic algorithm
 Fermat primality test
 Pseudoprime
 Carmichael number
 Euler pseudoprime
 Euler–Jacobi pseudoprime
 Fibonacci pseudoprime
 Probable prime
 Miller–Rabin primality test
 Lucas–Lehmer primality test
 Lucas–Lehmer test for Mersenne numbers
 AKS primality test
 NewPGen
Integer factorization
 Pollard's p − 1 algorithm
 Pollard's rho algorithm
 Lenstra elliptic curve factorization
 Quadratic sieve
 Special number field sieve
 General number field sieve
 Shor's algorithm
 RSA Factoring Challenge
Pseudorandom numbers
 Pseudorandom number generator
 Pseudorandomness
 Cryptographically secure pseudorandom number generator
 Middlesquare method
 Blum Blum Shub
 ISAAC
 Lagged Fibonacci generator
 Linear congruential generator
 Linear feedback shift register
 Shrinking generator
 Stream cipher
History
Categories: Mathematicsrelated lists
 Number theory
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