Abstract
In 1878, Édouard A. Lucas established a criterion concerning the general form of prime divisors of the Fermat numbers, namely, that every prime divisor p of F m, m > 1, satisfies the congruence (see, e.g., [Lucas, 1878b], [Dickson, p. 376])
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F5 = 641 × 6700417
Leonhard Euler
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© 2002 Springer Science+Business Media New York
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Křížek, M., Luca, F., Somer, L. (2002). Divisibility of 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_6
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DOI: https://doi.org/10.1007/978-0-387-21850-2_6
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