On the Distribution Properties of the Smarandache Prime Part
Autor: | Yahui Yu, Jiayuan Hu |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: | |
Zdroj: | Journal of Mathematics, Vol 2021 (2021) |
Druh dokumentu: | article |
ISSN: | 2314-4629 2314-4785 |
DOI: | 10.1155/2021/9937647 |
Popis: | 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 question proposed by Kashihara and improving a result of Yan. |
Databáze: | Directory of Open Access Journals |
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