Proof of Fermat Last Theorem based on successive presentations of pairs of odd numbers
| Main Author: | Shestopaloff Yuri K. |
|---|---|
| Format: | info publication-preprint eJournal |
| Bahasa: | eng |
| Terbitan: |
, 2020
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/4033466 |
Daftar Isi:
- A simpler proof of Fermat Last Theorem (FLT), based mostly on new concepts, is suggested. FLT was formulated by Fermat in 1637, and proved by A. Wiles in 1995. The initial equation x^n + y^n = z^n is considered not in natural, but in integer numbers. It is subdivided into four equations based on parity of terms and their powers. Cases 1, 3 and 4 can be converted to case 2. It is studied using presentations of pairs of odd numbers with a successively increasing factor of 2^r. The proposed methods and ideas can be used for studying other problems in number theory.
- Version 10 considers case 2 and shows that all four cases can be converged to Case 2. It also presents a new independent proof that any pair of odd numbers belong to a "no solution" fraction. The proof uses little conventional number theory approaches. It can be understood, if one is familiar with the notion of limit. Please make sure that you view the latest Version 10 (file Shestopaloff_v10.pdf). Now, the older Version 4 is displayed by default.