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| Foreword Preface Glossary of Symbols 1. Introduction 2. Fundamentals of Number Theory 3. Basic Properties of Fermat Numbers 4. The Most Beautiful Theorems on Fermat Numbers 5. Primality of Fermat Numbers 6. Divisibility of Fermat Numbers 7. Factors of Fermat Numbers 8. Connection of Fermat Numbers with Pascal's Triangle 9. Miscellaneous Results 10. The Irrationality of the Sum of Some Reciprocals 11. Fermat Primes and a Diophantine Equation 12. Fermat's Little Theorem, Pseudoprimes, and Superpseudoprimes 13. Generalizations of Fermat Numbers 14. Open Problems 15. Fermat Number Transform and Other Applications 16. The Proof of Gauss's Theorem 17. Euclidean Construction of the Regular Heptadecagon Appendix A. Tables of Fermat Numbers and Their Prime Factors B. Mersenne Numbers C. Remembrance of Pierre de Fermat References Web Site Sources Name Index Subject Index |
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