Engineering Physics Annotation << Back 2 short conjectures for Fermat's theorem Bobrov A.V. Are two proofs of Fermat's Last Theorem. The first option is based on the transfor-mation of the equality cn–bn–an=0 by dividing it by integers d1=c–b and d2=c–a two polynomial (n–1) degree relative C. Comparing the coefficients of these polynomials lead to the proof of this theorem. The second version is based on the properties of the exponential function, allowing expressing numbers с and b be the number of a ≠ 1. The assumption of the existence of relatively prime integers a, b, and c in the equation cn–bn=an for n>2 leads to the proof of the theorem. Key words: Fermat's last theorem, polynomial, exponential function, reciprocals, the identity. Contacts: E-mail: aleksandrbobrov2011@mail.ru Pp. 15-17.