A Novel Computational Method for Goldbach Decomposition of Even Numbers (Ready for Public use on the Internet)

Abstract

Bahbouhi Bouchaib

This article presents a novel computational method for decomposing even numbers into sums of two prime numbers, a problem known as Goldbach’s Conjecture. Using optimized heuristics based on modular arithmetic and probabilistic constraints, I have developed a publicly accessible website capable of processing even numbers up to 1018 which is a historic record. My method, grounded in decades of theoretical insights and refined by computational efficiency, offers a new way to visualize and explore prime pair decomposition and contributes to the ongoing exploration of one of number theory’s most famous conjectures. The latest successful version of my new website for Goldbach's decomposition is available at: https://b43797.github.io/Bahbouhi-decomposingGoldbach-conjecture2025/.

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