Provides number-theoretic functions for factorization, prime numbers, twin primes, primitive roots, modular logarithm and inverses, extended GCD, Farey series and continuous fractions. Includes Legendre and Jacobi symbols, some divisor functions, Euler's Phi function, etc.

Author | Hans Werner Borchers |

Date of publication | 2017-01-14 00:18:20 |

Maintainer | Hans W. Borchers <hwborchers@googlemail.com> |

License | GPL (>= 3) |

Version | 0.6-7 |

**agm:** Arithmetic-geometric Mean

**bell:** Bell Numbers

**catalan:** Catalan Numbers

**cf2num:** Generalized Continous Fractions

**chinese:** Chinese Remainder Theorem

**contFrac:** Continous Fractions

**coprime:** Coprimality

**div:** Integer Division

**divisors:** List of Divisors

**droplet_e:** Droplet Algorithm for pi and e

**egyptian_complete:** Egyptian Fractions - Complete Search

**egyptian_methods:** Egyptian Fractions - Specialized Methods

**eulersPhi:** Eulers's Phi Function

**extGCD:** Extended Euclidean Algorithm

**factorize:** Prime Factors

**fibonacci:** Fibonacci and Lucas Series

**GCD:** GCD and LCM Integer Functions

**hermite:** Hermite Normal Form

**IsIntpower:** Powers of Integers

**isNatural:** Natural Number

**isprime:** isPrime Property

**isPrimroot:** Primitive Root Test

**legendre_sym:** Legendre and Jacobi Symbol

**mersenne:** Mersenne Numbers

**mod:** Modulo Operator

**modinv:** Modular Inverse

**modlin:** Modular Linear Equation Solver

**modlog:** Modular (or: Discrete) Logarithm

**modpower:** Power Function modulo m

**moebius:** Moebius Function

**necklace:** Necklace and Bracelet Functions

**nextprime:** Next Prime

**numbers-package:** Number-Theoretic Functions for R

**omega:** Number of Prime Factors

**ordpn:** Order in Faculty

**previousPrime:** Previous Prime

**primes:** Prime Numbers

**primroot:** Primitive Root

**pythagorean:** Pythagorean Triples

**quadratic_residues:** Quadratic Residues

**rabin:** Miller-Rabin Test

**ratFarey:** Farey Approximation

**rem:** Integer Remainder

**sigma:** Divisor Functions

**twinprimes:** Twin Primes

**zeck:** Zeckendorf Representation

numbers/DESCRIPTION

numbers/NAMESPACE

numbers/NEWS

numbers/R

numbers/R/agm.R
numbers/R/chinese.R
numbers/R/contFrac.R
numbers/R/divisors.R
numbers/R/droplet.R
numbers/R/egyptian.R
numbers/R/factorize.R
numbers/R/fibonacci.R
numbers/R/functions.R
numbers/R/gcd.R
numbers/R/hermite.R
numbers/R/is.R
numbers/R/mersenne.R
numbers/R/modlog.R
numbers/R/modular.R
numbers/R/necklace.R
numbers/R/ordpn.R
numbers/R/primes.R
numbers/R/primroot.R
numbers/R/pythagorean.R
numbers/R/qresidues.R
numbers/R/rabin.R
numbers/R/ratFarey.R
numbers/man

numbers/man/GCD.Rd
numbers/man/IsIntpower.Rd
numbers/man/agm.Rd
numbers/man/bell.Rd
numbers/man/catalan.Rd
numbers/man/cf2num.Rd
numbers/man/chinese.Rd
numbers/man/contFrac.Rd
numbers/man/coprime.Rd
numbers/man/div.Rd
numbers/man/divisors.Rd
numbers/man/droplet_e.Rd
numbers/man/egyptian_complete.Rd
numbers/man/egyptian_methods.Rd
numbers/man/eulersPhi.Rd
numbers/man/extGCD.Rd
numbers/man/factorize.Rd
numbers/man/fibonacci.Rd
numbers/man/hermite.Rd
numbers/man/isNatural.Rd
numbers/man/isPrimroot.Rd
numbers/man/isprime.Rd
numbers/man/legendre_sym.Rd
numbers/man/mersenne.Rd
numbers/man/mod.Rd
numbers/man/modinv.Rd
numbers/man/modlin.Rd
numbers/man/modlog.Rd
numbers/man/modpower.Rd
numbers/man/moebius.Rd
numbers/man/necklace.Rd
numbers/man/nextprime.Rd
numbers/man/numbers-package.Rd
numbers/man/omega.Rd
numbers/man/ordpn.Rd
numbers/man/previousPrime.Rd
numbers/man/primes.Rd
numbers/man/primroot.Rd
numbers/man/pythagorean.Rd
numbers/man/quadratic_residues.Rd
numbers/man/rabin.Rd
numbers/man/ratFarey.Rd
numbers/man/rem.Rd
numbers/man/sigma.Rd
numbers/man/twinprimes.Rd
numbers/man/zeck.Rd
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