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4 Number Theory I: Prime Numbers - University of Pennsylvania

Last edited February 11, 20164 Number Theory I: Prime NumbersNumber Theory is the mathematical study of the natural Numbers , the positivewhole Numbers such as 2, 17, and 123. Despite their ubiquity and apparent sim-plicity, the natural integers are chock-full of beautiful ideas and open primary focus of Number Theory is the study of Prime Numbers , which can beviewed as the elementary building blocks of all Number TheoryThe natural Numbers are those basic abstraction of quantity we first learn aboutas children; in particular they are the positive whole Numbers :N={1,2,3,..}.(36)Although simple in some sense, the patterns and relationships that appearamong these Numbers have intrigued and challenged generations of the mathe-maticians.

4 Number Theory I: Prime Numbers Number theory is the mathematical study of the natural numbers, the positive whole numbers such as 2, 17, and 123. Despite their ubiquity and apparent sim-plicity, the natural integers are chock-full of beautiful ideas and open problems. A primary focus of number theory is the study of prime numbers, which can be

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