Tint R. To the hypothesis of bill (elementary aspect) // International scientific journal "Internauka". — 2019. — №11. https://doi.org/10.25313/2520-2057-2019-11-5114

Annotation. An infinitely lifting method for making certain types of three-term equations, which is completely refuted by the ABC conjecture.

Keywords: three-term equation, the method of infinite growth, elementary aspect.

Annotation. Are given in Section 1 the theorem and its proof, complementing the classical formulation of the ABC conjecture, and in Chapter 2 addressed the issue of communication with the elliptic curve Frey's "Great" Fermat's theorem.

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.