Definition:Prime Number/Definition 4

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A prime number $p$ is an integer greater than $1$ that has no positive integer divisors other than $1$ and $p$.

That is:

$\Bbb P = \set {p \in \N: \forall x \in \N, x \ne 1, x \ne p: x \nmid p}$

Also see

  • Results about prime numbers can be found here.