Submitted:
08 July 2021
Posted:
09 July 2021
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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
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