Number-theoretic algorithms - Теоретико-числовые алгоритмы

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ANGOL CÍM Number-theoretic algorithms 11081
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Number-theoretic algorithms
Primality tests AKS • APR • Baillie-PSW • Elliptic curve • Pocklington • Fermat • Lucas • Lucas-Lehmer • Lucas-Lehmer-Riesel • Proth's theorem • Pépin's • Quadratic Frobenius • Solovay-Strassen • Miller-Rabin
Prime Sieve of Atkin • Sieve of Eratosthenes • Sieve of Pritchard • Sieve of Sundaram • Wheel factorization
Integer factorization Continued fraction (CFRAC) • Dixon's • Lenstra elliptic curve (ECM) • Euler's • Pollard's rho • p − 1 • p + 1 • Quadratic sieve (QS) • General number field sieve (GNFS) • Special number field sieve (SNFS) • Rational sieve • Fermat's • Shanks's square forms • Trial division • Shor's
Multiplication Ancient Egyptian • Long • Karatsuba • Toom-Cook • Schönhage-Strassen • Fürer's
Euclidean division Binary • Chunking • Fourier • Goldschmidt • Newton-Raphson • Long • Short • SRT
Discrete logarithm Baby-step giant-step • Pollard rho • Pollard kangaroo • Pohlig-Hellman • Index calculus • Function field sieve
Greatest common divisor Binary • Euclidean • Extended Euclidean • Lehmer's
Modular square root Cipolla • Pocklington's • Tonelli-Shanks • Berlekamp
Other algorithms Chakravala • Cornacchia • Exponentiation by squaring • Integer square root • Integer relation (LLL; KZ) • Modular exponentiation • Montgomery reduction • Schoof • Trachtenberg system
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