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

[摘要] Around 1637 Fermat wrote few lines in the margin of Arithmetica, an Ancient Greek text on mathematics written by Diophantus of Alexandria, anAlexandrian mathematician in 3rd century AD. Fermat wrote that “it is impossible to separate a cube into two cubes, or a fourth power into twofourth powers, or in general, any power higher than the second, into two like powers. I have discovered a marvelous proof of this, which this marginis 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 aboutsome marvelous demonstration of this theorem, since than no clue was found about the marvelous demonstration. In this paper some historicalevidences and facts are highlighted and some anticipated demonstration related to Fermat’s Last Theorem is devised, may be it will contribute andfacilitate the mathematicians to search out some facts associated to Fermat’s Last Theorem and the demonstration.

[关键词] Fermat last theorem;Error percentage;Arithmetica;Narrowness;Mathematical programming;Regular pattern