Goldbach Conjecture: The Most Definitive and Comprehensive Disproof Ever Constructed
Sandeep S. Jaiswal
Sandeep S. Jaiswal, Department of Industrial & Systems Engineering, University of Alabama in Huntsville, Mumbai (M.H.), India.
Manuscript received on 06 June 2025 | First Revised Manuscript received on 12 February 2026 | Second Revised Manuscript received on 22 March 2026 | Manuscript Accepted on 15 April 2026 | Manuscript published on 30 April 2026 | PP: 31-35 | Volume-6 Issue-1, April 2026 | Retrieval Number: 100.1/ijam.B120405021025 | DOI: 10.54105/ijam.B1204.06010426
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© The Authors. Published by Lattice Science Publication (LSP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: This paper presents the first complete and definitive disproof of Goldbach’s Conjecture, executed through a synthesis of deep mathematical insight, theoretical innovation, and structural rigour. Across a broad spectrum of modern mathematics, this work reveals foundational contradictions that undermine the conjecture’s claim to universality. The result is a clear and categorical conclusion that Goldbach’s Conjecture, while numerically resilient, collapses under formal scrutiny. This work not only resolves a centuries-old enigma but redefines the philosophical foundation of additive number theory. It proactively challenges the mathematical community to distinguish between empirical tradition and provable truth, and sets a new standard for resolving longstanding conjectures. In doing so, it transforms the landscape of number theory and establishes a model for multidisciplinary proof that enables future breakthroughs. This is not merely a mathematical achievement but a historic turning point as the era of Goldbach concludes, and the era of mathematical evolution begins.
Keywords: Deep Mathematical Insight, Theoretical Innovation, and Structural Rigour, Numerically Resilient.
Scope of the Article: Number Theory