Integer Relationship Between m and 4

Let $n$ be an integer such that $1 ext{ mod } 3$ implies that $n = 3k + 1$ for some integer $k$. Additionally, assume $m$ is another integer defined by $m = n^2 - 2n + 1$.

Determine the relationship between Quantity A and Quantity B:

Quantity A: $m$

Quantity B: $4$