BUILT-IN MATHEMATICA SYMBOL

PrimePowerQ

PrimePowerQ[expr]
yields True if expr is a power of a prime number, and yields False otherwise.

Details and Options Details and Options

PrimePowerQ[1] gives False.
PrimePowerQ[n, GaussianIntegers->True] determines whether n is a Gaussian prime power.
PrimePowerQ[m+In] automatically works over the Gaussian integers.

Examples Examples open all close all

Basic Examples (1)Basic Examples (1)

Test whether a number is a power of a prime number:

Out[1]=

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Scope (4)Scope (4)

Generalizations & Extensions (1)Generalizations & Extensions (1)

Options (1)Options (1)

Applications (4)Applications (4)

Properties & Relations (3)Properties & Relations (3)

Neat Examples (2)Neat Examples (2)

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See Also See Also

PrimeQ FactorInteger SquareFreeQ MoebiusMu PrimeOmega

Tutorials Tutorials

Integer and Number Theoretic Functions

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