Abstract
In the first three chapters, we presented the Number Theory of Fermat, Lagrange, and Gauss (respectively). In this chapter, we present a new solution of the Diophantine equation x2 − Ry2 = C, and we present a new solution to a puzzle proposed by Edouard Lucas in 1875. We also establish Lucas’s test for perfect numbers, and, finally, look at some recent work of Alan Baker.
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© 1995 Springer Science+Business Media Dordrecht
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Anglin, W.S. (1995). x2 − Ry2 = C. In: The Queen of Mathematics. Kluwer Texts in the Mathematical Sciences, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0285-8_4
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DOI: https://doi.org/10.1007/978-94-011-0285-8_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4126-3
Online ISBN: 978-94-011-0285-8
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