In this paper,some theories about research of Mersenne prime,including a few relevant definitions,theorems and algorithms,are introduced,and three problems of number theory are discussed,and the already-known 44 Mersenne Primes are listed.

In the early days of the PRC,a"problem discussion"column was started by the magazine China s Youth to carry out the ideal education of young people.

YU Guang-yuan concerning the following four theoretical issues: the historic role that private economy plays in the “transition period", the concepts of public ownership and the ownership of the society, the commercial nature of labor force in the socialist economy and the inevitable existence of private economy.

The research of some theoretical problems about P.E.curriculum resources;

Several theoretical problems about The Research on History of Science Thought in China;

There are some theoretical problems which are needed further study,such as the question about human s essential existence and ethnics’ realization,the ethnics’ problem about universality and particularity,and national ethnics’ inheritance and innovation under the condition of globalization and so on.

During the new period ,the task of political thoughts of the undergraduates is to overcome the main theory problem that puzzles the undergraduates thoughts, to cater for the needs of the information era, to consolidate and deepen the education function of the former moral education channel.