Primitive Root Theorem

The Primitive Root Theorem and a Lemma

In this video we state the Primitive Root Theorem (PRT) and provide a result that follows from this theorem (a lemma), which gives us another characterization of primitive roots.

A Proof of the Lemma

Before proving the PRT, we provide a proof of the lemma.

An Application: Converting Multiplication Problems

Another application of the PRT is to convert multiplication problems mod p into addition problems mod(p – 1).

 

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