New simple analytical proofs of Fermat's last theorem for n=3

摘要

A parametric solution of the equation corresponding to Fermat’s last theorem for is obtained with a necessary condition that must be satisfied by the parameters. Two simple proofs for Fermat’s last theorem for are obtained using this necessary condition, and it is conjectured that the simpler proof given here may be generalized to Fermat’s last theorem for many odd primes.