Definition

If $p$ is a prime, $(\mathbb{Z}/p\mathbb{Z},+,\cdot)$ (The Set of Residue Classes mod p) is a Finite Field of $p$ elements. We usually denote this as $$\mathbb{F}_{p}$$ # Note This structure allows us to use valuable results like: - Fermat’s Little Theorem - Euler’s Totient Function ϕ - Euler’s Theorem - Also allows us to begin looking at Finite Fields and Quadratic Residues…