Asian Journal of Pure and Applied Mathematics

An Improved Bound on the Sum of Prime Numbers

Monica U. Feliksiak *

Edoo.pl Language School Cracov Poland.

*Author to whom correspondence should be addressed.

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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

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