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The greatest prime factor of the integers in a short interval (III) |
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| Authors: | Jia Chaohua |
| Institution: | (1) Institute of Mathematics, Academia Sinica, Beijing, China |
| Abstract: | LetP(x) denote the greatest prime factor of IIz<n≤x+x1/2 n. In this paper, we prove thatP(x)>x 0.723 holds true for a sufficiently largex. Project supported by the Tian Yuan Itam in the National Natural Science Foundation of China. |
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