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PrimeQ
PrimeQ[
expr
] yields True if expr is a prime number, and yields False otherwise.
PrimeQ[1] gives False.
PrimeQ[-
n
], where n is prime, gives True.
PrimeQ[
n
,
GaussianIntegers->True] determines whether n is a Gaussian prime.
See the Mathematica book: Section 2.3.5, Section 3.1.1, Section 3.2.4.
See also Implementation NotesA.9.44.7MainBookLinkOldButtonDataA.9.44.7.
See also: FactorInteger.
Related package: NumberTheory`PrimeQ`.
Further Examples
Not all numbers of the form  are prime.
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