Number Theory


A Simple, Direct Proof of Fermat's Last Theorem

Authors: Philip Aaron Bloom

No simple proof of FLT has been established for every n > 2. We devise, for positive integral values of n, an elaborate algebraic identity, r^n + s^n = t^n, that holds for positive integral (r, s, t), a triple that we relate to positive integral (x, y, z) for which x^n + y^n = z^n holds. We infer that integral (r, s, t) equals integral (x, y, z) by using the unrestricted variable in our identity. For n > 2, we demonstrate that there exists no integral (r, s, t). Hence, for n > 2, there exists no integral (x, y, z).

Comments: 3 Pages.

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Submission history

[v1] 2018-04-02 15:51:38
[v2] 2018-04-05 22:40:40
[v3] 2018-04-06 23:31:09
[v4] 2018-04-08 17:42:58
[v5] 2018-04-10 16:26:14
[v6] 2018-04-11 21:14:55
[v7] 2018-04-22 23:37:17
[v8] 2018-04-27 19:59:38
[v9] 2018-05-09 20:15:39
[vA] 2018-05-16 17:09:45

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