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Quotients of Gaussian Primes

Stephan Ramon Garcia
The American Mathematical Monthly
Vol. 120, No. 9 (November 2013), pp. 851-853
DOI: 10.4169/amer.math.monthly.120.09.851
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Page Count: 3
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Quotients of Gaussian Primes
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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?”

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