17 Lectures on Fermat Numbers: From Number Theory to Geometry (Hardcover, 2002)

From the contents: - Foreword by Alena Solcovß - Table of Contents - Preface - Glossary of Symbols - Introduction - Fundamentals of Number Theory - Basic Properties of Fermat Numbers - The Most Beautiful Theorems on Fermat Numbers - Primality of Fermat Numbers - Divisibility of Fermat Numbers - Factors of Fermat Numbers - Connection With the Pascal Triangle - Miscellaneous Results - The Irrationality of the Sum of Some Reciprocals - Fermat Primes and a Diophantine Equation - Fermat's Little Theorem, Pseudoprimes, and Super-Pseudoprimes - Generalizations of Fermat Numbers - Open Problems - Fermat Number Transform and Other Applications - The Proof of Gauss's Theorem - Euclidean Constructions of the Regular Heptadecagon - Appendix A, B, C - References - Web Site Sources - Name Index - Subject Index