Title:
Solution to the Goldbach Conjecture

Authors:
Le Thanh Duc, Le Thi Thu Thuy, Viet Nam

Abstract:

Christian Goldbach is an 18th-century mathematician. He proposed his conjecture 263 years ago, in 1742. Although it has existed for a long time, no one has yet been able to prove this conjecture completely. Mathematicians have proven many approximate results. The purpose of this article is to prove this conjecture. The author uses classical mathematical tools related to the knowledge of mapping and base transformation. At the same time, it geometrizes the nature of numbers. From there, the conjecture is proven. The solution is highly general. Therefore, the specific knowledge involved needs further proof. These proofs encompass both theoretical and computational calculations. In addition, due to the nature of mathematics, which encompasses many closely related fields, verifying the correctness of the conjecture requires more time for testing. The result of this paper is to confirm the correctness of Goldbach's conjecture, while also expanding knowledge in number theory (e.g., the Twin Prime Conjecture and Sophie Germain Conjecture). It is one of the important additions to mathematical knowledge.

 DOI: http://dx.doi.org/10.51505/ijaemr.2025.1524