Mathematics > Number Theory

11 functions in Symbolic Math Toolbox › Mathematics > Number Theory.

bernoulliBernoulli numbers, and Bernoulli polynomials.
eulerEuler numbers, and Euler polynomials.
eulerPhiEuler's totient function: how many integers up to n are coprime to n.
factorIntegerPowerWrites an integer as a perfect power b^e with the largest possible exponent.
fibonacciFibonacci numbers.
harmonicHarmonic numbers H_n = 1 + 1/2 + ... + 1/n.
isPrimitiveRootTests whether a is a primitive root modulo n.
jacobiSymbolJacobi symbol (a/n), a generalization of the Legendre symbol.
nextprimeSmallest prime greater than or equal to n.
nthprimeThe n-th prime number.
prevprimeLargest prime less than or equal to n.