Hello fellow mathematicians. I was allowed to choose any topic that we learned about in our proof-writing/number theory class. And I decided to go with Fermat's little theorem because I find it really interesting and its applications in cryptography are also cool.
The goal of this assignment is to basically write a 3 page paper proving the theorem but it must be extremely explicit. Meaning I need to provide and prove theorems, lemmas, etc, before actually proving Fermat's Little theorem.
For now all I have considered is proving unique multiplicative inverses (modulo). But that is really all that I can think of currently. Is there anything else I should consider showing to a reader who may not be the most mathematically adept?
My goal with this question is to build a flowchart of how my paper should be laid out. Your help and guidance would be super appreciated!