Miscellany

Stan Wagon ()
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Stan Wagon: Macalester College, Department of Mathematics and Computer Science

Chapter 21 in Mathematica in Action, 2010, pp 523-556 from Springer

Abstract: Abstract The primes in the Gaussian integers — numbers of the form a + bi — are a fascinating object of study. For example, 2 is not prime as it factors as (1 + i) (1 − i); 3 remains prime. One can ask how far one can walk in the Gaussian primes starting near the origin at 1 + i and taking steps of size no greater than k. The cover image shows how far one can get with steps up to size 3. One runs into an impassable moat at radius just less than 100. A famous conjecture asserts that there is always such a moat, regardless of how large k is.

Keywords: Cover Image; Priority Queue; Negative Term; Positive Term; Harmonic Series (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-387-75477-2_22

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