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numbers (version 0.7-1)

Number-Theoretic Functions

Description

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.

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Version

Install

install.packages('numbers')

Monthly Downloads

9,988

Version

0.7-1

License

GPL (>= 3)

Maintainer

HwB

Last Published

May 17th, 2018

Functions in numbers (0.7-1)

iNthroot

Integer N-th Root
extGCD

Extended Euclidean Algorithm
isNatural

Natural Number
previousPrime

Previous Prime
Sigma

Divisor Functions
Primes

Prime Numbers
isPrimroot

Primitive Root Test
modlog

Modular (or: Discrete) Logarithm
omega

Number of Prime Factors
twinPrimes

Twin Primes
modpower

Power Function modulo m
ordpn

Order in Faculty
isPrime

isPrime Property
legendre_sym

Legendre and Jacobi Symbol
necklace

Necklace and Bracelet Functions
modlin

Modular Linear Equation Solver
modinv

Modular Inverse
moebius

Moebius Function
nextPrime

Next Prime
numbers-package

numbers
ratFarey

Farey Approximation
mod

Modulo Operator
pythagorean_triples

Pythagorean Triples
mersenne

Mersenne Numbers
primroot

Primitive Root
zeck

Zeckendorf Representation
rem

Integer Remainder
quadratic_residues

Quadratic Residues
miller_rabin

Miller-Rabin Test
coprime

Coprimality
agm

Arithmetic-geometric Mean
GCD, LCM

GCD and LCM Integer Functions
Hermite normal form

Hermite Normal Form
bell

Bell Numbers
chinese remainder theorem

Chinese Remainder Theorem
cf2num

Generalized Continous Fractions
fibonacci

Fibonacci and Lucas Series
eulersPhi

Eulers's Phi Function
contFrac

Continous Fractions
catalan

Catalan Numbers
div

Integer Division
egyptian_methods

Egyptian Fractions - Specialized Methods
divisors

List of Divisors
isIntpower

Powers of Integers
primeFactors

Prime Factors
egyptian_complete

Egyptian Fractions - Complete Search
dropletPi

Droplet Algorithm for pi and e