Some discussions on the Goldbach conjecture
arXiv:2306.17769
Abstract
According to some discussions based on syllogism, we present results on the binary Goldbach conjecture in three categories: results that are weaker than the Goldbach conjecture, sufficient conditions for the Goldbach conjecture, and results that are similar in nature to the Goldbach conjecture. Additionally, we explore the connections between the Goldbach conjecture and other well-known conjectures.
Some typos corrected. Many references added. We apologize for any unintentional omissions and recognize the significant contributions made by numerous researchers to the study of the Goldbach conjecture. Any comments or suggestions are welcome!