Tag Archives: Finite Prime Field

Fermat’s Little Theorem and Finite Prime Fields

The fact that "$$\mathbb{Z}_p$$ is a field if and only if $$p$$ is a prime" can be derived from the fact that "every finite integral domain is a field." Also, it is easily derived that every field include a subfield which is isomorphic to one of $$\mathbb{Q}$$ or $$\mathbb{Z}_p$$ for a prime $$p$$. That's why the fields $$\mathbb{Z}_p$$… Read More »