Number Theory

   

A Classic Algebraic Identity Implies Fermat's Last Theorem (FLT) for Integral Exponent Larger Than Two

Authors: Philip A. Bloom

We solve the open problem of a simple proof of FLT for n > 2 by directly inferring, from Euclid's formula, a generalization that holds for the set of all coprime triples, a set that is equal to the set of all coprime triples {(z, y, x )} for which z ^ n - y ^ n = x ^ n holds. Our generalization allows us to deduce a necessary condition for coprime {(z, y, x)} to satisfy the Fermat equation z ^ n - y ^ n = x ^ n, the condition being that n is not larger than two.

Comments: 2 Pages.

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Submission history

[v1] 2020-09-22 10:10:21 (removed)
[v2] 2020-09-22 16:55:30 (removed)
[v3] 2020-09-24 12:06:25 (removed)
[v4] 2020-09-25 20:40:30 (removed)
[v5] 2020-09-26 19:49:28 (removed)
[v6] 2020-09-30 16:43:22 (removed)
[v7] 2020-10-01 14:53:07 (removed)
[v8] 2020-10-02 17:42:16 (removed)
[v9] 2020-10-05 18:37:55 (removed)
[vA] 2020-10-06 23:28:01 (removed)
[vB] 2020-10-09 20:36:25 (removed)
[vC] 2020-10-10 20:26:02

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