# Prime Between $n$ and $n!$

Between $3$ and $3!$, there is $5$, which a prime.

Between $4$ and $4!$, there is $5$, which a prime.

Between $5$ and $5!$, there is $7$, which is a prime.

True or False?

For every positive integer $n \geq 3$, there is always at least one prime $p$ with $n.

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