Document Type
Article
Department
Mathematics (Pomona)
Publication Date
11-2013
Keywords
quotients, primes, Gaussian primes, complex plane, dense
Abstract
It has been observed many times, both in the Monthly and elsewhere, that the set of all quotients of prime numbers is dense in the positive real numbers. In this short note we answer the related question: "Is the set of all quotients of Gaussian primes dense in the complex plane?"
Rights Information
© 2013 Mathematical Association of America. All Rights Reserved.
Terms of Use & License Information
Recommended Citation
Garcia, S.R., Quotients of Gaussian Primes, American Mathematical Monthly. 120 (2013), no. 9, 851-853.
Comments
This article is also available from the American Mathematical Monthly at: http://www.maa.org/press/periodicals/american-mathematical-monthly/american-mathematical-monthly-contents-november-2013.