A Remark on the Mandl's Inequality

Abstract

In this note, first we refine Mandl's inequality. Then, we consider the product $p_1{p}_2...p_n$ and we refine some known lower bounds for it, and we find some upper bounds for it by using Mandl's inequality and its refinement and the AGM-Inequality.

6 pages, no figure

Cited by in corpus (5)

• On the asymptotic expansion of the sum of the first n primes
• An elemetary proof of an estimate for a number of primes less than the product of the first $n$ primes
• Some new inequalities for primes
• Curious conjectures on the distribution of primes among the sums of the first $2n$ primes
• On the arithmetic average of the first $n$ primes