As I mentioned in class in the introduction to Proofs and mathematical logic, Fermat's Last Theorem was a problem that puzzled mathematicians for centuries. As such, it has an outsized reputation as a challenge, something someone could solve in order to demonstrate their intelligence. Of course, acting like you're smart is ripe territory for comedy, as this video explains:
For more information on this problem, here is a quick video summarizing the history of the problem, followed by a link to view the original documentary we screened in class. If you are interested in more detail, ask Mr. M to lend you a copy of Fermat's Enigma, Simon Singh's excellent book about this problem that is informative, fun, and easy to follow.