Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Bounds on the sum of (log(p))2 Terms

Version 1 : Received: 8 July 2021 / Approved: 9 July 2021 / Online: 9 July 2021 (13:17:02 CEST)

How to cite: Feliksiak, J. Bounds on the sum of (log(p))2 Terms. Preprints 2021, 2021070221 (doi: 10.20944/preprints202107.0221.v1). Feliksiak, J. Bounds on the sum of (log(p))2 Terms. Preprints 2021, 2021070221 (doi: 10.20944/preprints202107.0221.v1).

Abstract

In this research paper, we implement the theory of the primorial function, to develop the Supremum and Infimum bounds for the sum of (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 considered sufficiently accurate, while facilitating an easy and fast computation of the estimate of the sum.

Keywords

Infimum of the sum of log p terms squared; Supremum of the sum of log p terms squared; Lower and Upper bounds on the sum of log p terms squared

Subject

MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory

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