Disprove the following statements: (a) If (n) and (k) are positive integers, then (n^{k}-n) is always divisible

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Disprove the following statements:

(a) If $n$ and $k$ are positive integers, then $n^{k}-n$ is always divisible by $k$.

(b) Every positive integer is the sum of three squares (the squares being $0,1,4,9,16$, etc.).

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A Concise Introduction To Pure Mathematics

ISBN: 9781498722926

4th Edition

Authors: Martin Liebeck

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Question Posted: May 19, 2024 02:06 AM

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Disprove the following statements: (a) If (n) and (k) are positive integers, then (n^{k}-n) is always divisible

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A Concise Introduction To Pure Mathematics

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