**Authors:** Philip A. Bloom

A simple proof of Fermat's last theorem (FLT) for each integral n > 2 is not confirmed. Our simple proof of FLT is based on our algebraic identity, denoted (for convenience) as r ^ n + s ^ n = t ^ n. For positive integral values of n, we relate ( r, s ,t ), a function of two variables, for which r ^ n + s ^ n = t ^ n holds, with ( x, y, z ) for which x ^ n + y ^ n = z ^ n holds. We infer by direct argument ( not by way of contradiction ), for any given n, that { ( r, s, t ) | r, s, t in Z, r ^ n + s ^ n = t ^ n } = { ( x, y, z )| r, s, t in Z, x ^ n + y ^ n = z ^ n } . In addition, we show, for n > 2, that {( r, s, t ) | r, s, t in Z, r ^ n + s ^ n = t ^ n } is null. Thus, for values of n > 2, it is true that { ( x, y, z ) | x, y, z in Z, x ^ n + y ^ n = z ^ n } is null.

**Comments:** 3 Pages.

**Download:** **PDF**

[v1] 2018-05-22 15:54:17

[v2] 2018-05-24 23:48:32

[v3] 2018-05-30 11:22:41

[v4] 2018-06-05 13:36:54

[v5] 2018-06-29 23:35:11

[v6] 2018-07-09 21:33:43

[v7] 2018-07-24 22:46:54

[v8] 2018-08-07 11:31:29

[v9] 2018-08-11 19:21:08

[vA] 2018-08-18 13:16:39

**Unique-IP document downloads:** 83 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful. *