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numbers (version 0.8-2)

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

13,068

Version

0.8-2

License

GPL (>= 3)

Maintainer

HwB

Last Published

May 14th, 2021

Functions in numbers (0.8-2)

Carmichael numbers

Carmichael Numbers
collatz

Collatz Sequences
cf2num

Generalized Continous Fractions
isIntpower

Powers of Integers
chinese remainder theorem

Chinese Remainder Theorem
catalan

Catalan Numbers
GCD, LCM

GCD and LCM Integer Functions
Bernoulli numbers

Bernoulli Numbers
agm

Arithmetic-geometric Mean
bell

Bell Numbers
dropletPi

Droplet Algorithm for pi and e
coprime

Coprimality
contFrac

Continous Fractions
egyptian_methods

Egyptian Fractions - Specialized Methods
isNatural

Natural Number
nextPrime

Next Prime
necklace

Necklace and Bracelet Functions
iNthroot

Integer N-th Root
fibonacci

Fibonacci and Lucas Series
Hermite normal form

Hermite Normal Form
modlin

Modular Linear Equation Solver
legendre_sym

Legendre and Jacobi Symbol
eulersPhi

Eulers's Phi Function
Sigma

Divisor Functions
Stern-Brocot

Stern-Brocot Sequence
divisors

List of Divisors
pythagorean_triples

Pythagorean Triples
omega

Number of Prime Factors
primroot

Primitive Root
div

Integer Division
numbers-package

tools:::Rd_package_title("numbers")
extGCD

Extended Euclidean Algorithm
primeFactors

Prime Factors
ordpn

Order in Faculty
mersenne

Mersenne Numbers
modlog

Modular (or: Discrete) Logarithm
isPrimroot

Primitive Root Test
egyptian_complete

Egyptian Fractions - Complete Search
quadratic_residues

Quadratic Residues
twinPrimes

Twin Primes
zeck

Zeckendorf Representation
miller_rabin

Miller-Rabin Test
modpower

Power Function modulo m
moebius

Moebius Function
isPrime

isPrime Property
Pascal triangle

Pascal Triangle
mod

Modulo Operator
Farey Numbers

Farey Approximation and Series
modinv, modsqrt

Modular Inverse and Square Root
Primes

Prime Numbers
previousPrime

Previous Prime
rem

Integer Remainder