# An Upper Bound on the $n$th Prime

by John J. Jaroma (Austin College)

This article originally appeared in:
College Mathematics Journal
March, 2005

Subject classification(s): Algebra and Number Theory | Number Theory | Primes
Applicable Course(s): 4.3 Number Theory

Builds on Nagura's theorem saying that there exists at least one prime between $n$ and $6n/5$ if $n>24$

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Capsule Course Topic(s):
Number Theory | Primes and Composites, Distribution of Primes