Fermat's General Case

02 January 2025, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.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

The equation a^n+ b^m = c^z represents a mathematical expression where a, b, and c are variables, and n, m, and z are positive integers representing exponents; essentially, it states: is a^n+ b^m = c^z? "Fermat's general case" refers to the equation a^n + b^m = c^z where a, b, and c are positive integers, and n, m, and z are also positive integers with the key condition that n must be greater than 2; according to Fermat's Last Theorem, this equation has no solutions for positive integers in this scenario.

Keywords

Fermat's General Case
Unsolved math
UK
USA
Taha
Number Theory

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