Algebra

An Elementary Proof os Feramt´s Last Theorem .a Complete Proorf for All Powers N>3

Authors: Eero Koskela
Comments: 10 Pages. (Note by ai.viXra.org Admin: Please cite listed scientific references)

We present an elementary proof of Fermat's Last Theorem for all powers n ≥ 3 using only binomial coefficients and basic algebra. The proof establishes that the binomial representation 6C(x+1,3) + x serves as a unique fingerprint for the cube x³, and demonstrates that this uniqueness property forces a secondary constraint that is incompatible with the original Fermat equation. For n=3, this leads directly to a geometric contradiction. For n=4, we obtain an algebraic impossibility. For n ≥ 5, we show that the secondary constraint forces fractional exponents that can only yield integers if a lower-dimensional Fermat equation holds—but these are already proven impossible. This proof is independent of Wiles's work and relies only on elementary techniques accessible to undergraduate students.
Category: Algebra