Package: numbers 0.8-5

numbers: Number-Theoretic Functions

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.

Authors:Hans Werner Borchers

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NEWS

# Install 'numbers' in R:
install.packages('numbers', repos = c('https://hwborchers.r-universe.dev', 'https://cloud.r-project.org'))

On CRAN:

This package does not link to any Github/Gitlab/R-forge repository. No issue tracker or development information is available.

6.02 score 2 stars 70 packages 370 scripts 6.7k downloads 71 exports 0 dependencies

Last updated 2 years agofrom:1f545913f6. Checks:8 OK. Indexed: yes.

TargetResultLatest binary
Doc / VignettesOKFeb 15 2025
R-4.5-winOKFeb 15 2025
R-4.5-macOKFeb 15 2025
R-4.5-linuxOKFeb 15 2025
R-4.4-winOKFeb 15 2025
R-4.4-macOKFeb 15 2025
R-4.3-winOKFeb 15 2025
R-4.3-macOKFeb 15 2025

Exports:agmatkin_sievebellbernoulli_numbersbraceletcarmichaelcatalancf2numchinesecollatzcontfraccoprimedivdivisorsdropletEdropletPiegyptian_completeegyptian_methodseulersPhiextGCDfarey_seqfibonacciGCDhermiteNFiNthrootisIntpowerisNaturalisPrimeisPrimrootisSquareisSquarefreejacobi_symLCMlegendre_symlucasmersennemertensmGCDmiller_rabinmLCMmodmodinvmodlinmodlogmodordermodpowermodqmodsqrtmoebiusnecklacenextPrimeomegaOmegaordpnpascal_triangleperiodicCFpreviousPrimeprimeFactorsPrimesprimrootpythagorean_triplesquadratic_residuesradicalratFareyremSigmasolvePellsEqstern_brocot_seqtautwinPrimeszeck

Dependencies:

Readme and manuals

Help Manual

Help pageTopics
Number-Theoretic Functionsnumbers-package numbers
Arithmetic-geometric Meanagm
Bell Numbersbell
Bernoulli Numbersbernoulli_numbers
Carmichael Numberscarmichael
Catalan Numberscatalan
Generalized Continous Fractionscf2num
Chinese Remainder Theoremchinese
Collatz Sequencescollatz
Continued Fractionscontfrac
Coprimalitycoprime
Integer Divisiondiv
List of Divisorsdivisors
Droplet Algorithm for pi and edropletE dropletPi
Egyptian Fractions - Complete Searchegyptian_complete
Egyptian Fractions - Specialized Methodsegyptian_methods
Eulers's Phi FunctioneulersPhi
Extended Euclidean AlgorithmextGCD
Farey Approximation and Seriesfarey_seq ratFarey
Fibonacci and Lucas Seriesfibonacci lucas
GCD and LCM Integer FunctionsGCD LCM mGCD mLCM
Hermite Normal FormhermiteNF
Integer N-th RootiNthroot
Powers of IntegersisIntpower isSquare isSquarefree
Natural NumberisNatural
isPrime PropertyisPrime
Primitive Root TestisPrimroot
Legendre and Jacobi Symboljacobi_sym legendre_sym
Mersenne Numbersmersenne
Miller-Rabin Testmiller_rabin
Modulo Operatormod modq
Modular Inverse and Square Rootmodinv modsqrt
Modular Linear Equation Solvermodlin
Modular (or: Discrete) Logarithmmodlog
Power Function modulo mmodorder modpower
Moebius Functionmertens moebius
Necklace and Bracelet Functionsbracelet necklace
Next PrimenextPrime
Number of Prime FactorsOmega omega
Order in Facultyordpn
Pascal Trianglepascal_triangle
Periodic continued fractionperiodicCF
Previous PrimepreviousPrime
Prime FactorsprimeFactors radical
Prime Numbersatkin_sieve Primes
Primitive Rootprimroot
Pythagorean Triplespythagorean_triples
Quadratic Residuesquadratic_residues
Integer Remainderrem
Divisor FunctionsSigma tau
Solve Pell's EquationsolvePellsEq
Stern-Brocot Sequencestern_brocot_seq
Twin PrimestwinPrimes
Zeckendorf Representationzeck