IntegerExponent (Built-in Mathematica Symbol)

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

Element (Built-in Mathematica Symbol)

Element[x, dom] or x \[Element] dom asserts that x is an element of the domain dom. Element[{x_1, x_2, ...}, dom] asserts that all the x_i are elements of dom. Element[patt, ...

Primality Proving Package (Primality Proving Package Tutorial)

This package implements primality proving. If ProvablePrimeQ[n] returns True, then the number n can be mathematically proven to be prime. In addition, PrimeQCertificate[n] ...

ProvablePrimeQ (Primality Proving Package Symbol)

ProvablePrimeQ[n] gives True if n is provably prime, and False otherwise.

Blank (Built-in Mathematica Symbol)

_or Blank[] is a pattern object that can stand for any Mathematica expression. _h or Blank[h] can stand for any expression with head h.

SquareFreeQ (Built-in Mathematica Symbol)

SquareFreeQ[expr] gives True if expr is a square-free polynomial or number, and False otherwise.SquareFreeQ[expr, vars] gives True if expr is square free with respect to the ...

ZetaZero (Built-in Mathematica Symbol)

ZetaZero[k] represents the k\[Null]^th zero of the Riemann zeta function on the critical line.ZetaZero[k, t] represents the k\[Null]^th zero with imaginary part greater than ...

The Algorithms of Mathematica (Mathematica Tutorial)

The built-in functions of Mathematica implement a very large number of algorithms from computer science and mathematics. Some of these algorithms are fairly old, but the vast ...

MoebiusMu (Built-in Mathematica Symbol)

MoebiusMu[n] gives the Möbius function \[Mu](n).

Evaluate Infinite Sums and Products (Mathematica How To)

In calculus, infinite sums and products can pose a challenge to manipulate by hand. Mathematica can evaluate a huge number of different types of sums and products with ease.