Number Theory


On the Interval $[n,9(n+3)/8]$

Authors: Germán Paz

In this paper we prove that the interval $[n,9(n+3)/8]$ contains at least one prime number for every positive integer $n$. In order to achieve our goal, we use a result by Pierre Dusart and we also do manual calculations.

Comments: 75 Pages. The result in this paper (as well as some other results) has been published in ''General Mathematics Notes''. Journal reference: On the Interval [n,2n]: Primes, Composites and Perfect Powers, General Mathematics Notes, 15(1) (2013), 1-15.

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Submission history

[v1] 2012-11-19 16:27:13

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