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Mathematik-Online problems:

Problem 3: Induction and Binomial Theorem

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Proof the statement

,,Let $ p$ be a prime and $ n$ a natural number. Then $ n^p-n$ is divisible by $ p$.``







using induction by $ n$.


Hint: Use the binomial theorem.

(Authors: Lesky/Höfert)

Solution:

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  automatisch erstellt am 29. 10. 2004