You are here

Home » Programs » Faculty and Departments » An Interesting Property of \( x/\pi(x)\)

An Interesting Property of \( x/\pi(x)\)

by Robert T. Harger (High Point University) and William L. Hightower (High Point University)

This article originally appeared in:
College Mathematics Journal
May, 2009

Subject classification(s): Primes | Number Theory | Algebra and Number Theory
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis | 4.3 Number Theory

Golomb's theorem on \(x/\pi(x)\) about prime number distribution is generalized and has a new proof.

A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

To open this file please click here.

These pdf files are furnished by JSTOR.

Classroom Capsules would not be possible without the contribution of JSTOR.

JSTOR provides online access to pdf copies of 512 journals, including all three print journals of the Mathematical Association of America: The American Mathematical Monthly, College Mathematics Journal, and Mathematics Magazine. We are grateful for JSTOR's cooperation in providing the pdf pages that we are using for Classroom Capsules.

Capsule Course Topic(s):
Number Theory | Primes and Composites, Distribution of Primes
Average: 2.9 (112 votes)