Annotation. A variant of the solution with the help of Bill hypothesis direct evidence "Great" Fermat's theorem elementary methods rows. New are "invariant identity" (keyword) and obtained by us in the text, the identity of the work, which allowed directly to solve the FLT, and several others. Also proposed a new formulation of the theory (clause 2.1.4.), the evidence for n = 1,2,3, .. n> 2 and x, y, z> 2.

Keywords: invariant identity proof, Bill hypothesis, the theory of numbers.