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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.
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?
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
New Numbers and Functions
The After "Math" of Gauss
Primes After Dinner: Bad Dreams?
Primes in Arithmetic Progression
The Great Prime Mysteries
Mysteries in Sequences: More But Not All
The End and the Beginning
Readership: College students, high school teachers and beginners interested in number theory and important facts about prime numbers.
Engaging short chapters, though written simply, are accurate and filled with substantial and up-to-date information concerning open problems
This book is unique as it is written to pique the reader's curiosity in wanting to see proofs of theorems mentioned in the conversations throughout the book
Although the book is not a textbook, it contains a large amount of important information and will be of interest to those who want to learn the most important facts about prime numbers
The author is a well-known figure in number theory and his previous books were great successes