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The greatest prime factor of the integers in a short interval (IV)

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Abstract

LetP(x) denote the greatest prime factor of\(\prod _{x< n \leqslant x + x^{\frac{1}{2}} } \) n. In this paper, we shall prove thatP(x)>x 0.728 holds true for sufficiently largex.

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Authors and Affiliations

  1. Institute of Mathematics, Academia Sinica, 100080, Beijing, China

    Jia Chaohua

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  1. Jia Chaohua
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Project supported by the Tian Yuan Item in the National Natural Science Foundation of China.

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Chaohua, J. The greatest prime factor of the integers in a short interval (IV). Acta Mathematica Sinica 12, 433–445 (1996). https://doi.org/10.1007/BF02106797

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  • DOI: https://doi.org/10.1007/BF02106797

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