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numbers (version 0.9-2)

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 continued 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

20,116

Version

0.9-2

License

GPL (>= 3)

Maintainer

HwB

Last Published

November 20th, 2025

Functions in numbers (0.9-2)

iNthroot

Integer N-th Root
fibonacci

Fibonacci and Lucas Series
legendre_sym

Legendre and Jacobi Symbol
Hermite normal form

Hermite Normal Form
mersenne

Mersenne Numbers
isNatural

Natural Number
isPrimroot

Primitive Root Test
isPrime

isPrime Property
omega

Number of Prime Factors
modNthroot

N-th root modulo p
mod

Modulo Operator
necklace

Necklace and Bracelet Functions
ordpn

Order in Faculty
moebius

Moebius Function
nextPrime

Next Prime
modlog

Modular (or: Discrete) Logarithm
modpower

Power Function modulo m
numbers-package

tools:::Rd_package_title("numbers")
modlin

Modular Linear Equation Solver
modinv, modsqrt

Modular Inverse and Square Root
quadratic_residues

Quadratic Residues
miller_rabin

Miller-Rabin Test
polygonal

Polygonal Numbers
Primes

Prime Numbers
previousPrime

Previous Prime
primroot

Primitive Root
Pascal triangle

Pascal Triangle
periodicCF

Periodic continued fraction
pythagorean_triples

Pythagorean Triples
arithmetic_progression

Arithmetic Progression
Sigma

Divisor Functions
Stern-Brocot

Stern-Brocot Sequence
twinPrimes

Twin Primes
solvePellsEq

Solve Pell's Equation
zeck

Zeckendorf Representation
Farey Numbers

Farey Approximation and Series
rem

Integer Remainder
Bernoulli numbers

Bernoulli Numbers
cf2num

Generalized Continous Fractions
chinese remainder theorem

Chinese Remainder Theorem
collatz

Collatz Sequences
catalan

Catalan Numbers
Carmichael numbers

Carmichael Numbers
agm

Arithmetic-geometric Mean
bell

Bell Numbers
contfrac

Continued Fractions
egyptian_methods

Egyptian Fractions - Specialized Methods
coprime

Coprimality
eulersPhi

Eulers's Phi Function
div

Integer Division
dropletPi

Droplet Algorithm for pi and e
extGCD

Extended Euclidean Algorithm
primeFactors

Prime Factors
egyptian_complete

Egyptian Fractions - Complete Search
GCD, LCM

GCD and LCM Integer Functions
divisors

List of Divisors
isIntpower

Powers of Integers