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Mathematics of Computation

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A conjecture of Paul Erdo's concerning Gaussian primes

Authors: J. H. Jordan and J. R. Rabung
Journal: Math. Comp. 24 (1970), 221-223
MSC: Primary 10.05
MathSciNet review: 0256976
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Abstract: Paul Erdös has conjectured that you can stroll from the origin of the complex plane to infinity using the Gaussian primes as stepping stones and be required only to take steps of finite length. This paper establishes that steps of length 4 would be required to make the journey.

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Keywords: Gaussian integers, Gaussian primes, distribution of Gaussian primes
Article copyright: © Copyright 1970 American Mathematical Society