After looking back at Fermat in the textbook, I found a little biography section about him. I found it very interesting that he was actually a lawyer by profession and wasn't very well-known within the world of mathematics. I always find people that make mathematical discoveries and have other professions very interesting so I figured that I would look more into this. After a little research, I found out the Fermat first took a serious interest while he was attending law school. However, after he had graduated and got a job, he still worked with mathematics on his own time. With this, he discovered many theorems and produced a lot of important mathematical work. The only thing was that he only shared this work with family and close friends. And, when he did share this work, there was never any proof of his work. This was a little odd, but I found out the reason that he did this was because he wanted the status of an 'amateur' but could still get the recognition that he wanted in the mathematical world. I always find people like this so interesting because they are extremely smart but really don't want people to know it. Fermat was making ground-breaking discoveries but he wasn't showing proof of them just so others didn't really know that much about him. These are the people that I have a lot of respect for and it motivated other mathematicians to pursue and prove some of his work. I found that Gauss spent a lot of time with it and did end up disproving some of Fermat's claims, but he did prove some of his theorems too. If you want to read more about this, the website is listed below.

Peirre de Fermat