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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.

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