On the Distribution Properties of the Smarandache Prime Part
| Autor: | Yahui Yu, Jiayuan Hu |
|---|---|
| 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 |
| Externí odkaz: |
|
Plný text