The links below are to the Sections of the paper on a simple proof of Fermat's Last Theorem, using elementary algebraic analysis of a level extant in the days of Pierre de Fermat and his peers. |
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Introduction - The first section contains a title page, a short abstract, and the main introduction which includes a brief a reference to the proof of this Conjecture by Professor Andrew Wiles of Princeton University.
Proof of Fermat's Last theorem. - The second section provides an initial preamble which describes the method to be used in the main analysis, and includes the preliminary mathematical preparation. Case n = 3 - Following on from the previous Section, the proof for n = 3, is presented here. Case n = 4 - The proof of the Conjecture for n = 4, is presented here. Case n = 5 - The proof of the Conjecture for n = 5, is presented here. Case n = 7 and Extrapolation - The proof of the Conjecture for n = 7, is presented here, together with the extrapolation that concludes the proof for all n. The q Numbers - This Section consolidates the proof with analysis of the characteristics of the q numbers, parameterS generated throughout the analysis, and central to demonstrating the final proof. Conclusions - Concluding Remarks. Appendix A and References - The Appendix provides a simple method of deriving all the solutions to Fermat's equation when n = 2, i.e. the Pythagorean Triples, and illustrates their main characteristics. A brief review of further variations of Fermat'sequation is also presented. The references used in the preparation of this paper is also included here. |
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