Abstract
In this section we collect a few miscellaneous facts about the Fermat numbers. We start with a simple proof of the following result, which has been known since 1850. This result generalizes Remark 6.11 and Remark 6.17, which stated that no Fermat number can be a perfect square or a perfect cube.
Number theory is a game of inspiration.
Michael Sean Mahoney
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© 2002 Springer Science+Business Media New York
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Křížek, M., Luca, F., Somer, L. (2002). Miscellaneous Results. In: 17 Lectures on Fermat Numbers. CMS Books in Mathematics / Ouvrages de mathématiques de la SMC. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21850-2_9
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DOI: https://doi.org/10.1007/978-0-387-21850-2_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2952-5
Online ISBN: 978-0-387-21850-2
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