
- 336 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
About this book
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Prime Numbers, Friends Who Give Problems is written as a trialogue, with two persons who are interested in prime numbers asking the author, Papa Paulo, intelligent questions. Starting at a very elementary level, the book advances steadily, covering all important topics of the theory of prime numbers, up to the most famous problems. The humorous conversations and the inclusion of a back-story add to the uniqueness of the book. Concepts and results are also explained with great care, making the book accessible to a wide audience.
-->0 Readership: College students, high school teachers and beginners interested in number theory and important facts about prime numbers.
Prime Numbers, Largest Prime Number, Fermat Numbers, Congruences, Proofs of Theorems0
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Information
Table of contents
- Cover Page
- Title
- Copyright
- Contents
- Preface
- Acknowledgments? Acknowledgments!
- 1. What are Prime Numbers?
- 2. Division is Harder than Multiplication
- 3. Another Paulo! Is a Dialogue of Three Possible?
- 4. How Natural Numbers are Made Out of Primes
- 5. Tell Me: Which is the Largest Prime?
- 6. Trying Hard to Find Primes
- 7. A Formula, A Formula, Please
- 8. Paulo Came with a Lasso
- 9. Beautiful Old Elementary Arithmetic
- 10. The Old Man Still Knows
- 11. Can You Tell Me All About Congruences?
- 12. Homework Checked
- 13. Testing for Primality and Factorization
- 14. Fermat Numbers are Friendly. Are They Primes?
- 15. This World is Perfect
- 16. Unfriendly Numbers from a Friend of Fermat’s
- 17. Paying My Debt
- 18. Money and Primes
- 19. Secret Messages
- 20. New Numbers and Functions
- 21. Princeps Gauss
- 22. Gathering Forces
- 23. The After “Math” of Gauss
- 24. Primes After Dinner: Bad Dreams?
- 25. Primes in Arithmetic Progression
- 26. Selling Primes
- 27. The Great Prime Mysteries
- 28. Mysteries in Sequences: More But Not All
- 29. The End and the Beginning
- Name Index
- Subject Index