On the Distribution Properties of the Smarandache Prime Part
For each integer n, denote by ppn the largest prime ≤n and by Ppn the smallest prime ≥n, called as the Smarandache inferior prime part and superior prime part of n, respectively. Define In≔1/n∑m≤nppm and Sn≔1/n∑m≤nPpm. In this short note, we proved some estimates on In−Sn and In/Sn, answering a ques...
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Main Authors: | Yahui Yu, Jiayuan Hu |
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Format: | Article |
Language: | English |
Published: |
Wiley
2021-01-01
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Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2021/9937647 |
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