Algebraic Expression Exploration

$n^3 - 2n + 1$ is always less than 1

$n^3 - 2n + 1$ is always a prime number

$n^3 - 2n + 1$ is always a perfect square

$n^3 - 2n + 1$ is always greater than or equal to 1 (correct)

$n^3 - 2n + 1$ is always a prime number

$n^3 - 2n + 1$ is always a multiple of 3

$n^3 - 2n + 1$ is always an even number

$n^3 - 2n + 1$ is always an odd number (correct)

The value of $n^3 - 2n + 1$ is always a multiple of $n$

The value of $n^3 - 2n + 1$ is always equal to $n$

The value of $n^3 - 2n + 1$ is always less than $n$

The value of $n^3 - 2n + 1$ is always greater than $n$ (correct)