摘要
Let P(x) denote the greatest prime factor of ∏<sub>x【n≤x+x<sup>1/2</sup></sub>n. In this paper, we shall prove that P(x)】x<sup>0.728</sup>holds true for sufficiently large x.
Let P(x) denote the greatest prime factor of ∏<sub>x<n≤x+x<sup>1/2</sup></sub>n. In this paper, we shall prove that P(x)>x<sup>0.728</sup>holds true for sufficiently large x.
基金
Project supported by the Tian Yuan Item in the National Natural Science Foundation of China.