## Congruences Involving Prime Numbers

In this chapter, we will prove theorems which characterize prime numbers, in particular the *Fermat’s little theorem*, as well as the *Wilson’s theorem*.

| | | | created: 2019-05-12 09:15:43 | modified: 2019-05-12 09:16:04 | by: *bookofproofs*

## 1.**Theorem**: Fermat's Little Theorem

## 2.**Proposition**: A Necessary Condition for an Integer to be Prime

## 3.**Proposition**: A Necessary and Sufficient Condition for an Integer to be Prime

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