三个著名数学猜想的等价命题

Equivalent Propositions on Three Well-known Conjectures of Mathematics

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。其中哥德巴赫猜想是指每一大于2的偶数都能表成两个素数的和;孪生素数猜想是指存在无穷多对素数(p,p+2);费马素数猜想是指形如Fn=22n+1的整数都是素数。

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. For Instance, the sieve of Sundaram and Wilson theorem. Where Goldbach＇s Conjecture： every even positive integer greater than 2 can be written as the of two primes; Twin Prime Conjecture ： there are infinitely many pairs of primes p and p ＋ 2 ; Fermat＇s Conjecture for prime numbers ： the integers Fn = 2^2n ＋ 1 are all primes.