応用および計算数学ジャーナル

Pierre De Fermat′s Last Theorem: Some Historical Evidences, Facts and Inference

Abstract

Khurshid Ahmad Bhat*

Around 1637 Fermat wrote few lines in the margin of Arithmetica, an Ancient Greek text on mathematics written by Diophantus of Alexandria, an Alexandrian mathematician in 3rd century AD. Fermat wrote that “it is impossible to separate a cube into two cubes, or a fourth power into two fourth powers, or in general, any power higher than the second, into two like powers. I have discovered a marvelous proof of this, which this margin is too narrow to contain”. After 358 years, in 1995. Published a successful proof that Xⁿ+Yⁿ ≠ Zⁿ, for ‘n’ >2, as Pierre de Fermat was talking about some marvelous demonstration of this theorem, since than no clue was found about the marvelous demonstration. In this paper some historical evidences and facts are highlighted and some anticipated demonstration related to Fermat’s Last Theorem is devised, may be it will contribute and facilitate the mathematicians to search out some facts associated to Fermat’s Last Theorem and the demonstration.