How do I prove PRT?

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Ioulia N. Baoulina Popular answer

K. Ireland, M. Rosen, A classical introduction to modern number theory, Chapter 4.

Ioulia N. Baoulina

Eran Assaf

The main part of the proof is showing it holds for an odd prime p.

Stephen Glasby

I recall there is a proof in Rotman's book "Introduction to the theory of groups".