GROUNDBREAKING PROOF FOR GOLDBACH’S CONJECTURE VERIFICATION WITH MATHEMATICAL INDUCTIONFORMULA
DOI:
https://doi.org/10.61841/k7twx960Abstract
This document presents a novel examination of the Goldbach Conjecture, a prominent and long-standing problem in number theory first proposed by Christian Goldbach in 1742. Our investigation offers a straightforward yet remarkable explanation for how even numbers greater than 2 can invariably be expressed as the sum of two prime numbers. Through a comprehensive analysis grounded in fundamental number theory and innovative methodologies, we demonstrate that every even number above 2 can be represented in this manner. Our approach simplifies understanding and opens new avenues for further research in number theory, highlighting the importance of perseverance and diverse perspectives in solving complex mathematical problems. The validity of our findings is corroborated using Mathematical Induction, establishing a robust foundation for the proposed solution.
References
Michaela Cully-Hugill and Adrian W Dudek. An explicit mean-value estimate for the prime number theorem in intervals. Journal of the Australian Mathematical Society, pages 1–15, 2023.
Johan H¨ardig. Goldbach’s conjecture, 2020.
Daniele Lattanzi. Statistical distributions of prime number gaps. Journal of Advances in Mathematics and Computer Science, 39(1):36–61, 2024.
Dora Musielak. Motion of comets and comet tail theory. In Leonhard Euler and the Foundations of Celestial Mechanics, pages 107–139. Springer, 2022.
Nils Pipping. Die Goldbachsche Vermutung und der GoldbachVinogradowsche Satz. na, 1938.
Budee U Zaman. Exact sum of prime numbers in matrix form. Authorea Preprints, 2023.
Budee U Zaman. New prime number theory. Authorea Preprints, 2023.
Budee U Zaman. Connected old and new prime number theory with upper and lower bounds. Technical report, EasyChair, 2024.
Budee U Zaman. Discover a proof of goldbach’s conjecture. Authorea Preprints, 2024.
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Budee U Zaman (Author)

This work is licensed under a Creative Commons Attribution 4.0 International License.
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.