name of problem about if a^n+b^n=c^n n > or = 3

[FWT]

hte Pythagorean Theorem is a^2+b^2=c^3 there is a problemabout if a^n+b^n=c^n n > or = 3 my question is:

1.the name of this problem
2.who solved the problem
3.where the problem was originally written down.

[Martingale]

hte Pythagorean Theorem is a^2+b^2=c^3 there is a problemabout if a^n+b^n=c^n n > or = 3 my question is:

1.the name of this problem
2.who solved the problem
3.where the problem was originally written down.

Fermat's Last Theorem