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List of number theory topics - Computational number theory

List of number theory topics - Computational number theory: Encyclopedia II - List of number theory topics - Computational number theory

List of number theory topics - 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 prim ...

See also:

List of number theory topics, List of number theory topics - Factors, List of number theory topics - Fractions, List of number theory topics - Modular arithmetic, List of number theory topics - Arithmetic functions, List of number theory topics - Analytic number theory: additive problems, List of number theory topics - Algebraic number theory, List of number theory topics - Quadratic forms, List of number theory topics - L-functions, List of number theory topics - Diophantine equations, List of number theory topics - Diophantine approximation, List of number theory topics - Sieve methods, List of number theory topics - Named primes, List of number theory topics - Combinatorial number theory, List of number theory topics - Computational number theory, List of number theory topics - Primality tests, List of number theory topics - Integer factorization, List of number theory topics - Pseudo-random numbers, List of number theory topics - History

List of number theory topics, List of number theory topics - Algebraic number theory, List of number theory topics - Analytic number theory: additive problems, List of number theory topics - Arithmetic functions, List of number theory topics - Combinatorial number theory, List of number theory topics - Computational number theory, List of number theory topics - Diophantine approximation, List of number theory topics - Diophantine equations, List of number theory topics - Factors, List of number theory topics - Fractions, List of number theory topics - History, List of number theory topics - Integer factorization, List of number theory topics - L-functions, List of number theory topics - Modular arithmetic, List of number theory topics - Named primes, List of number theory topics - Primality tests, List of number theory topics - Pseudo-random numbers, List of number theory topics - Quadratic forms, List of number theory topics - Sieve methods

List of number theory topics: Encyclopedia II - List of number theory topics - Computational number theory



List of number theory topics - Computational number theory

  • Algorithmic number theory
  • Residue number system
  • Cunningham project
  • Quadratic residuosity problem

List of number theory topics - 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

List of number theory topics - 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
    • FAFNER

List of number theory topics - Pseudo-random numbers

  • Pseudorandom number generator
    • Pseudorandomness
    • Cryptographically secure pseudo-random number generator
  • Middle-square method
  • Blum Blum Shub
  • ISAAC
  • Lagged Fibonacci generator
  • Linear congruential generator
    • Mersenne twister
  • Linear feedback shift register
  • Shrinking generator
  • Stream cipher

Other related archives

AKS primality test, Additive function, Advanced modular arithmetic theory, Agoh-Giuga conjecture, Algebraic number, Algebraic number theory, Algorithmic number theory, Analytic number theory, Arithmetic functions, Arithmetic of abelian varieties, Artin conjecture, Automorphic form, Basel problem, Bateman-Horn conjecture, Beatty's theorem, Bell numbers, Bell series, Bernoulli number, Bertrand's postulate, Birch and Swinnerton-Dyer conjecture, Blum Blum Shub, Brahmagupta's identity, Brun's constant, Bézout's identity, Bézout's lemma, Cabtaxi number, Carmichael number, Catalan's conjecture, Chebotarev's density theorem, Chen prime, Chinese remainder theorem, Clock arithmetic, Collatz conjecture, Composite number, Computational number theory, Congruence of squares, Congruence subgroup, Congruent number, Constructions of low-discrepancy sequences, Continued fraction, Coprime, Cousin prime, Covering system, Cramér's conjecture, Critical line theorem, Cryptographically secure pseudo-random number generator, Cullen prime, Cunningham chain, Cunningham project, Cusp form, Cyclic number, De Bruijn-Newman constant, Dedekind sum, Diophantine approximation, Diophantine equations, Diophantine set, Dirichlet L-series, Dirichlet character, Dirichlet convolution, Dirichlet series, Dirichlet's theorem, Discrepancy function, Discrete logarithm, Disquisitiones Arithmeticae, Divisor, Divisor function, Dyadic fraction, Effective results in number theory, Egyptian fraction, Eisenstein series, Elliott-Halberstam conjecture, Elliptic curve, Equidistribution mod 1, Erdős-Ginzburg-Ziv theorem, Erdős–Borwein constant, Euclid's lemma, Euclidean algorithm, Euler prime, Euler product, Euler pseudoprime, Euler's conjecture, Euler's criterion, Euler's four-square identity, Euler's theorem, Euler's totient function, Euler-Jacobi pseudoprime, Even and odd numbers, Extended Euclidean algorithm, FAFNER, Factorization, Farey sequence, Fermat primality test, Fermat prime, Fermat's last theorem, Fermat's little theorem, Fermat's theorem on sums of two squares, Fibonacci pseudoprime, Ford circle, Formula for primes, Fractions, Functional equation (L-function), Fundamental theorem of arithmetic, Gauss lemma, Gauss-Kuzmin-Wirsing operator, Gelfond-Schneider constant, Gelfond-Schneider theorem, General number field sieve, Generalized Riemann hypothesis, Generalized continued fraction, Generalized taxicab number, Geometry of numbers, Gilbreath's conjecture, Goldbach's conjecture, Goldbach's weak conjecture, Great Internet Mersenne Prime Search, Greatest common divisor, Halton sequences, Hardy-Littlewood circle method, Hasse principle, Hecke operator, Highly composite number, Hilbert's seventh problem, Hilbert-Polya conjecture, Hurwitz zeta function, ISAAC, Illustration of a low-discrepancy sequence, Integer factorization, Integer partition, Integer square root, Integer-valued polynomial, Irrational number, Irreducible fraction, Khinchin's constant, Kronecker's theorem, L-functions, Lagged Fibonacci generator, Lagrange's four-square theorem, Lambert series, Landau's function, Landau-Ramanujan constant, Langlands program, Large sieve, Least common multiple, Legendre symbol, Legendre's constant, Lenstra elliptic curve factorization, Lindemann-Weierstrass theorem, Linear congruence theorem, Linear congruential generator, Linear feedback shift register, Linnik's theorem, Liouville function, Liouville number, Littlewood conjecture, Local zeta function, Low-discrepancy sequence, Lucas-Lehmer primality test, Lucas-Lehmer test for Mersenne numbers, Luhn formula, Lévy's constant, Mahler measure, Mahler's compactness theorem, Mahler's theorem, Mathematical constant (sorted by continued fraction representation), Mathematical lists, Matiyasevich's theorem, Mazur's torsion theorem, Meissel-Mertens constant, Mersenne prime, Mersenne twister, Mertens conjecture, Mertens function, Method of successive substitution, Middle-square method, Miller-Rabin primality test, Minkowski's theorem, Mod n cryptanalysis, Modular arithmetic, Modular curve, Modular exponentiation, Modular form, Montgomery reduction, Mordell conjecture, Mordell-Weil theorem, Multiplicative function, Multiplicative order, Möbius function, Möbius inversion formula, Nagell-Lutz theorem, New Mersenne conjecture, NewPGen, Newman-Shanks-Williams prime, Noncototient, Nontotient, Number theory, Offset logarithmic integral, On the Number of Primes Less Than a Given Magnitude, One thousand seven hundred and twenty nine, Parity, Partition function (number theory), Pell's equation, Pentagonal number theorem, Perfect square, Pick's theorem, Pillai's conjecture, Pisot-Vijayaraghavan number, Pollard's p-1 algorithm, Pollard's rho algorithm, Power of two, Primality tests, Prime Obsession, Prime counting function, Prime factor, Prime factorization algorithm, Prime number, Prime number theorem, Prime pages, Prime quadruplet, Primitive root modulo n, Probabilistic algorithm, Probable prime, Proof of Bertrand's postulate, Proof that e is irrational, Proof that the sum of the reciprocals of the primes diverges, Proofs of Fermat's little theorem, Proofs of Fermat's theorem on sums of two squares, Prouhet-Thue-Morse constant, Pseudo-random numbers, Pseudoprime, Pseudorandom number generator, Pseudorandomness, Pythagorean triple, Quadratic forms, Quadratic irrational, Quadratic residue, Quadratic residuosity problem, Quadratic sieve, Question mark function, RSA Factoring Challenge, RSA number, Ramanujan-Petersson conjecture, Rational number, Recurring decimal, Residue number system, Riemann hypothesis, Riemann zeta function, Salem number, Sato-Tate conjecture, Schinzel's hypothesis H, Schnirelmann density, Second Hardy-Littlewood conjecture, Selberg trace formula, Seventeen or Bust, Sexy prime, Shor's algorithm, Shrinking generator, Siegel zero, Sierpinski number, Sieve methods, Sieve of Eratosthenes, Sigma function, Skewes' number, Small set (combinatorics), Sophie Germain prime, Special number field sieve, Square root of two, Square-free, Squaring the circle, Stern-Brocot tree, Stream cipher, Sumset, Szemerédi's theorem, Table of divisors, Table of prime factors, Taniyama-Shimura theorem, Taxicab number, Thue-Siegel-Roth theorem, Transcendental number, Trial division, Twin prime, Twin prime conjecture, Unimodular lattice, Unit fraction, Van der Waerden's theorem, Von Staudt-Clausen theorem, Vorlesungen über Zahlentheorie, Wagstaff prime, Wall-Sun-Sun prime, Waring's problem, Weil conjectures, Wieferich prime, Wilson prime, Wilson's theorem, Wolstenholme prime, Woodall prime, Znám's problem, abc Conjecture, aliquant, aliquot, e (mathematical constant), in lowest terms, list of algebraic number theory topics, list of cryptology topics, list of recreational number theory topics, list of topics related to pi, modular group, pi, prime power, safe prime



Adapted from the Wikipedia article "Computational number theory", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki

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