Packing a large number of sophisticated algorithms—many recent and original—into a powerful collection of functions, Mathematica draws on almost every major result in number ...

IntegerExponent[n, b] gives the highest power of b that divides n.

PrimeQ[expr] yields True if expr is a prime number, and yields False otherwise.

Beep[] generates an audible beep when evaluated.

Mathematica has the most extensive collection of mathematical functions ever assembled. Often relying on original results and algorithms developed at Wolfram Research over ...

Divisors[n] gives a list of the integers that divide n.

JacobiSymbol[n, m] gives the Jacobi symbol (n/m).

Prime[n] gives the n\[Null]^th prime number.

AbortKernels[] aborts evaluations running in all parallel subkernels.

FactorList[poly] gives a list of the factors of a polynomial, together with their exponents.