BUILT-IN MATHEMATICA SYMBOL

PrimeQ

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

Details and Options Details and Options

PrimeQ[1] gives False.
PrimeQ[-n], where n is prime, gives True.
PrimeQ[n, GaussianIntegers->True] determines whether n is a Gaussian prime.
PrimeQ[m+In] automatically works over the Gaussian integers.
Simplify[exprPrimes] can be used to try to determine whether a symbolic expression is mathematically a prime.

Examples Examples open all close all

Basic Examples (1)Basic Examples (1)

Test whether a number is prime:

Out[1]=

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Scope (1)Scope (1)

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

Applications (3)Applications (3)

Neat Examples (3)Neat Examples (3)

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See Also See Also

FactorInteger Prime NextPrime Primes PrimePowerQ CoprimeQ GCD

Tutorials Tutorials

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