17 Lectures on Fermat Numbers

Table of Contents

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   Book Overview
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   Chapter 1 Introduction
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   Chapter 2 Fundamentals of Number Theory
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   Chapter 3 Basic Properties of Fermat Numbers
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   Chapter 4 The Most Beautiful Theorems on Fermat Numbers
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   Chapter 5 Primality of Fermat Numbers
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   Chapter 6 Divisibility of Fermat Numbers
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   Chapter 7 Factors of Fermat Numbers
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   Chapter 8 Connections of Fermat Numbers with Pascal’s Triangle
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    Chapter 9 Miscellaneous Results
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    Chapter 10 The Irrationality of the Sum of Some Reciprocals
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    Chapter 11 Fermat Primes and a Diophantine Equation
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    Chapter 12 Fermat’s Little Theorem, Pseudoprimes, and Superpseudoprimes
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    Chapter 13 Generalizations of Fermat Numbers
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    Chapter 14 Open Problems
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    Chapter 15 Fermat Number Transform and Other Applications
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    Chapter 16 The Proof of Gauss’s Theorem
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    Chapter 17 Euclidean Construction of the Regular Heptadecagon