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Quadratic Diophantine Equations pp 169–199Cite as

Other Applications

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Part of the book series: Developments in Mathematics ((DEVM,volume 40))

Abstract

In [122] and [123] it is proven that there are infinitely many positive integers n such that 2n + 1 and 3n + 1 are both perfect squares. The proof relies on the theory of general Pell’s equations.

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Authors and Affiliations

  1. School of Natural Sciences and Mathematics, University of Texas at Dallas, Richardson, TX, USA

    Titu Andreescu

  2. Faculty of Mathematics and Computer Science, “Babeş-Bolyai” University, Cluj-Napoca, Romania

    Dorin Andrica

Authors
  1. Titu Andreescu
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  2. Dorin Andrica
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Andreescu, T., Andrica, D. (2015). Other Applications. In: Quadratic Diophantine Equations. Developments in Mathematics, vol 40. Springer, New York, NY. https://doi.org/10.1007/978-0-387-54109-9_7

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