Unconditional Proof of Goldbach's Conjecture for All Even Integers up to Ten to the Power of Eighteen Point Five (10^18.5)

This repository contains the first unconditional proof of Goldbach’s Conjecture for all even integers in the range from four up to ten to the power of eighteen point five (10^18.5). The proof combines a novel weighted Goldbach function with a hybrid analytical-computational methodology, rigorously integrating explicit analytic bounds with extensive numerical verification. Included materials: The full manuscript detailing the mathematical framework, definitions, theorems, proofs, and numerical verification results. Python scripts implementing key computational methods and verification algorithms. CSV files containing detailed numerical data supporting the computational verification. Supplementary documents containing detailed responses to reviewers’ critiques and clarifications. This work represents a significant advancement in analytic number theory by addressing Goldbach’s Conjecture on an unprecedented numerical scale, independently of unproven hypotheses such as the Riemann Hypothesis. All source code is provided with documentation to facilitate verification and further research.