等差数列的最小素数问题及其在哥德巴赫猜想中的应用
The problem of the least prime number in an arithmetic progression and its applications to Goldbach's conjecture
摘要：
等差数列的最小素数问题是数论中的重要课题之一。在[11]中，我们首次研究了这个问题与哥德巴赫猜想之间的关系。本文进一步考虑了它在哥德巴赫猜想中的应用，改进了文[11]中的结果。此外，我们还试图推广等差数列中的最小素数问题，并给出哥德巴赫猜想的一个类比。
英文摘要：
The problem of the least prime number in an arithmetic progression is one of the most important topics in Number Theory. In [11], we are the first to study the relations between this problem and Goldbach's conjecture. In this paper, we further consider its applications to Goldbach's conjecture and refine the result in [11]. Moreover, we also try to generalize the problem of the least prime number in an arithmetic progression and give an analogy of Goldbach's conjecture.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
