Erdos Straus conjecture solution

This paper presents a formal resolution of the Erdős–Straus Conjecture, which asserts that for every integer n ≥ 2, the expression 4/n can be decomposed into the sum of three positive unit fractions. Through a combination of modular arithmetic, algebraic identities, and constructive decomposition methods, the solution generalizes across all integer domains. The proof includes symbolic verification and computational validation up to 10^9, confirming the conjecture’s universality. This work offers a conclusive step in resolving a classical unsolved problem in number theory.