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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.
Readership: College students, high school teachers and beginners interested in number theory and important facts about prime numbers.
Acknowledgments? Acknowledgments!
What are Prime Numbers?
Division is Harder than Multiplication
Another Paulo! Is a Dialogue of Three Possible?
How Natural Numbers are Made Out of Primes
Tell Me: Which is the Largest Prime?
Trying Hard to Find Primes
A Formula, A Formula, Please
Paulo Came with a Lasso
Beautiful Old Elementary Arithmetic
The Old Man Still Knows
Can You Tell Me All About Congruences?
Homework Checked
Testing for Primality and Factorization
Fermat Numbers are Friendly. Are They Primes?
This World is Perfect
Unfriendly Numbers from a Friend of Fermat’s
Paying My Debt
Money and Primes
Secret Messages
New Numbers and Functions
Princeps Gauss
Gathering Forces
The After “Math” of Gauss
Primes After Dinner: Bad Dreams?
Primes in Arithmetic Progression
Selling Primes
The Great Prime Mysteries
Mysteries in Sequences: More But Not All
The End and the Beginning
Name Index
Subject Index