Titlebook: 17 Lectures on Fermat Numbers; From Number Theory t Michal K?í?ek,Florian Luca,Lawrence Somer Book 2001 Springer-Verlag New York 2001 Ferma

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柔美流暢

Cemal Kavalc?o?lu,Bülent BilgehanLet {..}. be an increasing sequence of positive integers. In this chapter we investigate some conditions under which the sum of the series . is an irrational number, and then we apply these results to the case for which the sequence {..}. is the sequence of Fermat numbers.

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https://doi.org/10.1007/978-3-030-04275-2In this chapter we show how to apply Fermat numbers to generate infinitely many pseudoprimes and superpseudoprimes. To define pseudoprimes and superpseudoprimes, we will need to make use of Fermat’s little theorem which is a centerpiece of number theory. It gives a fundamental property of primes and is the basis of most tests for primality.

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Studies in Systems, Decision and ControlWe will explore generalizations of Fermat numbers that share many of the same properties of the Fermat numbers; these properties were given in earlier chapters. We will also investigate other numbers such as the Cullen numbers, which bear some resemblance to the Fermat numbers.

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17 Lectures on Fermat Numbers978-0-387-21850-2Series ISSN 1613-5237 Series E-ISSN 2197-4152

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https://doi.org/10.1007/978-0-387-21850-2Fermat; Fermat Numbers; History of Mathematics; Mersenne number; Prime; number theory