An Improved Bound on the Sum of Prime Numbers

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Published: 2022-08-30

Page: 553-560


Monica U. Feliksiak *

Edoo.pl Language School Cracov Poland.

*Author to whom correspondence should be addressed.


Abstract

We derive two asymptotic formulae for the upper bound on the sum of the first n primes. Both the Supremum and the Estimate of the sum are superior to known bounds. The Estimate bound had been derived to promote effciency of estimation of the sum.

Keywords: R. Mandl's inequality, sum of primes Supremum, sum of primes estimate


How to Cite

Feliksiak, M. U. (2022). An Improved Bound on the Sum of Prime Numbers. Asian Journal of Pure and Applied Mathematics, 4(1), 553–560. Retrieved from https://globalpresshub.com/index.php/AJPAM/article/view/1654

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