Fermat discovered and applied the method of infinite descent, which, in particular can be used to prove FLT for n=4. This method can actually be used to prove a stronger statement than FLT for n=4, viz, has no non-trivial integer solutions.
Who proved Fermat Last theorem?
In 1983, German mathematician Gerd Faltings, now at the Max Planck Institute for Mathematics in Bonn, took a huge leap forward by proving that Fermats statement had, at most, a finite number of solutions, although he could not show that the number should be zero.
What does it take to prove Fermats Last theorem?
Following the developments related to the Frey curve, and its link to both Fermat and Taniyama, a proof of Fermats Last Theorem would follow from a proof of the Taniyama–Shimura–Weil conjecture—or at least a proof of the conjecture for the kinds of elliptic curves that included Freys equation (known as semistable ...
What are the 5 parts of a proof?
The most common form of explicit proof in highschool geometry is a two column proof consists of five parts: the given, the proposition, the statement column, the reason column, and the diagram (if one is given).