摘要
In this paper,we shall prove that for a sufficiently large odd number N,the equation N=p<sub>1</sub>+p<sub>2</sub>+p<sub>3</sub>,N/3-N（7/12）+ε【pi≤N/3+N（7/12）+ε （i=1,2,3） has solutions.
In this paper,we shall prove that for a sufficiently large odd number N,the equation N=p<sub>1</sub>+p<sub>2</sub>+p<sub>3</sub>,N/3-N（7/12）+ε<pi≤N/3+N（7/12）+ε （i=1,2,3） has solutions.
基金
the National Natural Science(Tian Yuan)Foundation of China
