快速检验梅森素数的一种新方法
A new method of quick test Mersenne prime

研究梅森素数与偶完全数的内在联系，分析偶完全数因子分解的结构特点，分别得到一个准偶完全数序列的通项公式：Sn=22n－2·(22n－1－1)，和一个准梅森素数序列的通项公式：SMn=(22n－1－1). 最后给出快速检验梅森素数新方法的算法思路.
The relation about Mersenne prime and even perfect number is researched，the structure feature of factorization for even perfect number is analysis. The study obtain two important result：a general formula of sequence of pseudo-even perfect number (SPEPN) is ：Sn=22n－2·(22n－1－1)，another general formula of sequence of pseudo-Mersenne prime (SPMP )is SMn=(22n－1－1). And a new method of quick test Mersenne prime is given