Fermat's and Euler's Theorems

Part of the Undergraduate Texts in Mathematics book series (UTM)

Pierre de Fermat (1601–1665) was a public official in the French city of Toulouse, and in his spare time was one of the greatest mathematicians of the seventeenth century. Fermat's “little theorem”, as generalized by Euler a century later, is perhaps the first theorem in what is now known as group theory. It also has some remarkably interesting applications. We present Fermat's theorem and related theory in this chapter and some applications in the next.


Prime Number Nonzero Element Multiplication Table Nonnegative Number Common Multiple 
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© Springer-Verlag Berlin Heidelberg 2009

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