Number-Theoretic Functions


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Documentation for package ‘numbers’ version 0.7-5

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numbers-package Number-Theoretic Functions
agm Arithmetic-geometric Mean
atkin_sieve Prime Numbers
bell Bell Numbers
bracelet Necklace and Bracelet Functions
catalan Catalan Numbers
cf2num Generalized Continous Fractions
chinese Chinese Remainder Theorem
collatz Collatz Sequences
contFrac Continous Fractions
coprime Coprimality
div Integer Division
divisors List of Divisors
dropletE Droplet Algorithm for pi and e
dropletPi Droplet Algorithm for pi and e
egyptian_complete Egyptian Fractions - Complete Search
egyptian_methods Egyptian Fractions - Specialized Methods
eulersPhi Eulers's Phi Function
extGCD Extended Euclidean Algorithm
fibonacci Fibonacci and Lucas Series
GCD GCD and LCM Integer Functions
hermiteNF Hermite Normal Form
iNthroot Integer N-th Root
isIntpower Powers of Integers
isNatural Natural Number
isPrime isPrime Property
isPrimroot Primitive Root Test
jacobi_sym Legendre and Jacobi Symbol
LCM GCD and LCM Integer Functions
legendre_sym Legendre and Jacobi Symbol
lucas Fibonacci and Lucas Series
mersenne Mersenne Numbers
mertens Moebius Function
mGCD GCD and LCM Integer Functions
miller_rabin Miller-Rabin Test
mLCM GCD and LCM Integer Functions
mod Modulo Operator
modinv Modular Inverse and Square Root
modlin Modular Linear Equation Solver
modlog Modular (or: Discrete) Logarithm
modorder Power Function modulo m
modpower Power Function modulo m
modsqrt Modular Inverse and Square Root
moebius Moebius Function
necklace Necklace and Bracelet Functions
nextPrime Next Prime
numbers Number-Theoretic Functions
Omega Number of Prime Factors
omega Number of Prime Factors
ordpn Order in Faculty
previousPrime Previous Prime
primeFactors Prime Factors
Primes Prime Numbers
primroot Primitive Root
pythagorean_triples Pythagorean Triples
quadratic_residues Quadratic Residues
radical Prime Factors
ratFarey Farey Approximation
rem Integer Remainder
Sigma Divisor Functions
tau Divisor Functions
twinPrimes Twin Primes
zeck Zeckendorf Representation