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numbers (version 0.6-6)

Number-Theoretic Functions

Description

Provides number-theoretic functions for factorization, prime numbers, twin primes, primitive roots, modular inverses, extended GCD, Farey series and continuous fractions. Included are some divisor functions, or Euler's Phi function and Egyptian fractions.

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Version

Install

install.packages('numbers')

Monthly Downloads

9,988

Version

0.6-6

License

GPL (>= 3)

Maintainer

HwB

Last Published

January 10th, 2017

Functions in numbers (0.6-6)

divisors

List of Divisors
div

Integer Division
coprime

Coprimality
bell

Bell Numbers
agm

Arithmetic-geometric Mean
dropletPi

Droplet Algorithm for pi and e
contFrac

Continous Fractions
egyptian_complete

Egyptian Fractions - Complete Search
eulersPhi

Eulers's Phi Function
egyptian_methods

Egyptian Fractions - Specialized Methods
fibonacci

Fibonacci and Lucas Series
extGCD

Extended Euclidean Algorithm
GCD, LCM

GCD and LCM Integer Functions
primeFactors

Prime Factors
isIntpower

Powers of Integers
Hermite normal form

Hermite Normal Form
legendre_sym

Legendre and Jacobi Symbol
mersenne

Mersenne Numbers
isPrime

isPrime Property
isNatural

Natural Number
miller_rabin

Miller-Rabin Test
moebius

Moebius Function
ratFarey

Farey Approximation
necklace

Necklace and Bracelet Functions
nextPrime

Next Prime
previousPrime

Previous Prime
Primes

Prime Numbers
numbers-package

Number-Theoretic Functions for R
primroot

Primitive Root
quadratic_residues

Quadratic Residues
omega

Number of Prime Factors
rem

Integer Remainder
ordpn

Order in Faculty
zeck

Zeckendorf Representation
twinPrimes

Twin Primes
modpower

Power Function modulo m
Sigma

Divisor Functions
modlin

Modular Linear Equation Solver
mod

Modulo Operator
modinv

Modular Inverse
cf2num

Generalized Continous Fractions
catalan

Catalan Numbers
chinese remainder theorem

Chinese Remainder Theorem
pythagorean_triples

Pythagorean Triples