This paper sets up equivalent propositions of Goldbach's Conjecture and Twin Prime Conjecture and Fermat's Conjecture for prime numbers by using the simple result among the number theory. 文章运用数论中的一些简单结果,如辛达拉姆筛法与威尔逊定理,建立了哥德巴赫猜想、孪生素数猜想以及费马素数猜想的等价命题。
Thirdly we sketch Ribet's work, which says that Taniyama-Weil conjecture for semi-stable elliptic curves implies Fermat last theorem. 进而介绍Ribet的工作,他证明了若Taniyama-Weil猜想对半稳定的椭圆曲线成立则Fermat最后定理成立。