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Counting Primes in the Interval (n², (n + 1)²)

Hassani, Mehdi (2005) Counting Primes in the Interval (n², (n + 1)²). Research report collection, 8 (2).

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Abstract

In this note, we show that there are many infinity positive integer values of n, in which the following inequality holds [⅟₂ (((n + 1)²)/ln (n + 1) - (n²)/(ln n)) - (ln²n)/(ln ln n)] ≤ ∏ ((n + 1)²) - ∏(n²).

Item Type: Article
Uncontrolled Keywords: primes, distribution of primes
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 13 Feb 2012 11:14
Last Modified: 23 May 2013 16:54
URI: http://vuir.vu.edu.au/id/eprint/18081
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