\(\text { Bounds on the Sum of } \sum(\log p)^2 \text { Terms }\)

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Published: 2022-08-30

Page: 561-571


Jan Feliksiak *

Language School in Krakw, Poland.

*Author to whom correspondence should be addressed.


Abstract

In this research paper we implement the theory of the primorial function, to develop the Supremum and Infimum bounds for the sum Σp≤n (log p)2. There are, however, considerable computational difficulties related to these bounds. Therefore, from a pragmatic point of view, a set of Upper and Lower bounds had been developed to bypass this issue. Despite the increased estimation error, the Upper and Lower bounds are still considerably accurate, while facilitating an easy and fast computation of the estimate of the sum.


How to Cite

Feliksiak, Jan. 2022. “\(\text { Bounds on the Sum of } \sum(\log p)^2 \text { Terms }\)”. Asian Journal of Pure and Applied Mathematics 4 (1):561-71. https://jofmath.com/index.php/AJPAM/article/view/64.

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