Why was proving Fermat’s Last Theorem such a big deal?
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Because it was a statement generally thought to be true, but it hadn’t been proven for so long. Just like movies or games that people get hyped for years over, when it was finally solved there was a huge release of excitement just because… it was FINALLY solved.
Also, it took so long to solve because mathematics lacked the tools to do so, the techniques used to prove the theorem (which I don’t understand well enough to detail) involved a certain amount of combining existing techniques and inventing new ones. I know the result was finally proven using elliptic curves, and that since then the study of elliptic curves has advanced other research. So it was a noteworthy achievement that others reference to make new discoveries
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