How to Submit
Browse
Events
Communities
About

Fermat' s Last Theorem

20 July 2025, Version 6
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

Abstract of Fermat’s Last Theorem proof I relate Fermat's Last Theorem to the three-dimensional geometric shapes of triangles and three sides that do not form a triangle. These geometric shapes represent all positive natural numbers. I did prove in every shape that Fermat's Last Theorem is wrong. The whole proofs are on approximately five pages long (11 in X 8 in).

Keywords

Fermat Last Theorem
Geometry
Taha
Unsolved Math Problem
USA
UK
Number Theory

Comments

Comments are not moderated before they are posted, but they can be removed by the site moderators if they are found to be in contravention of our Commenting and Discussion Policy [opens in a new tab] - please read this policy before you post. Comments should be used for scholarly discussion of the content in question. You can find more information about how to use the commenting feature here [opens in a new tab] .
This site is protected by reCAPTCHA and the Google Privacy Policy [opens in a new tab] and Terms of Service [opens in a new tab] apply.

Version History

Jul 20, 2025 Version 6

Version Notes

I added in Shape 3, r r≥1, or 0<r<1: Shape3: Obtuse Triangle is a^n+b^n= c^n?when a<b<c 1st way: ∵The triangle is obtuse ∴ a^n+b^n<c^n⇒ a^n+b^n≠c^n 2nd way: let a^n+b^n= c^n=b^(n+r),r ∈R_+ ∴ a^n=b^n b^r-b^n=b^n (b^r-1): i) a^n=b^n (b^r-1),if r≥1 ∴ a^n>b^n…contradiction to a^n<b^n ∴a^n+b^n≠c^n ii) a^n=b^n (b^r-1),if 0<r<1 ∴ a^n∈R_-…contradiction to a^n∈N_+ ∴a^n+b^n≠c^n

Metrics

1,345
306
0
Views
Downloads
Citations

License

All Rights Reserved

DOI

10.33774/coe-2024-4sxmw-v6
D O I: 10.33774/coe-2024-4sxmw-v6 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) have declared ethics committee/IRB approval is not relevant to this content

Share