Simon Litsyn, Vladimir Shevelev
Abstract
We study possible generalizations of the little Fermat theorem when the base of the exponentiation is allowed to be a non-integer. Such bases we call Fermat factors. We attempt classification of Fermat factors, and suggest several constructions.
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We study possible generalizations of the little Fermat theorem when the base of the exponentiation is allowed to be a non-integer. Such bases we call Fermat factors. We attempt classification of Fermat factors, and suggest several constructions.
Key concepts: Fermat's Last Theorem, Mathematics, Fermat number, Fermat's theorem on sums of two squares, Wieferich prime, Fermat's little theorem, Irrational number, Exponentiation