Fermat's Last Theorem/Historical Note

Fermat's Note
As himself put it, sometime around $1637$:

Nobody managed to find such a proof, until it was finally proved by in $1994$. It is seriously doubted that actually had found a general proof of it, and it is almost impossible that he found ' proof since it uses areas of mathematics that were not yet invented in 's time.

himself left an outline of the proof for $n = 4$.

provided the full proof for $n = 4$ and also a proof for the more difficult case $n = 3$.

The cases for $n = 5$ and $n = 7$ were proved by, and  and others.

At the time ' proof was published, the theorem had been established as true for all numbers up to $125 \, 000$.

In the words of :
 * Before beginning I would have to put in three years of intensive study, and I haven't that much time to waste on a probable failure.