General Mathematics

A Novel Elementary Proof of Fermat´s Last Theoremvia Binomial Coefficient Representation

Authors: Eero Koskela
Comments: 5 Pages. (Note by ai.viXra.org Admin: Full and real author name is required on the article)

We present an elementary proof that the Diophantine equation a^n + b^n = c^n has nonon-trivial positive integer solutions for any integer n ≥ 3. The proof is based on a novelreformulation using binomial coefficients and demonstrates that the sum of weighted binomial coefficients cannot satisfy the structural requirements imposed by Fermat’s equation.This approach is independent of previous proofs and relies only on basic properties of binomial coefficients, power functions, and convexity. The method provides a unified elementary proof for all exponents simultaneously.
Category: General Mathematics