Abstract
A power of two increased by one can divide another power of two increased by one, e.g., 2 + 1 | 8 + 1 or 4 + 1 | 64 + 1. However, Euler’s contemporary Christian Goldbach proved that the Fermat numbers are pairwise coprime.
Whenever there is a number, there is beauty.
Morris Kline
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© 2002 Springer Science+Business Media New York
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Křížek, M., Luca, F., Somer, L. (2002). The Most Beautiful Theorems on Fermat Numbers. 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_4
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DOI: https://doi.org/10.1007/978-0-387-21850-2_4
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