Simple analytical proof of Fermat’s last theorem for n=7

摘要

General parametric solution of the Fermat equation corresponding to is obtained using elementary mathematics and Fermat’s little theorem. Since the Fermat equation may have two classes of solutions, general parametric solutions of Fermat triples are obtained for these two classes of solutions with respective necessary conditions must be satisfied by the parameters. Fermat’s last theorem for is proved by showing that these necessary conditions are never satisfied.