What about $x^2 -1?$

Number Theory Level 1

$3^2- 1$ is not a prime number.

$4^2 -1$ is not a prime number.

$5^2-1$ is not a prime number.

$6^2 -1$ is not a prime number.

$7^2 -1$ is not a prime number.

$8^2 -1$ is not a prime number.

Is it true that $x^2 -1$ is never a prime number for all positive integers $x \gt 2$ ?

What about x2−1?x^2 -1?x2−1?

What about $x^2 -1?$