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Possible Duplicate:
Would like a proofreading of my proof

Prove that if $n$ is positive integer, then $n^2$ is divisible by $3$ with remainder either $0$ or $1$.

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    @evodevo: Don't take it personally that this is being closed. A house rule. I'm sure you will learn enough by studying the answers of the duplicate question.2011-10-23

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Hint: $ 0^2=0\mod 3, $

$ 1^2=1\mod 3, $

$ 2^2=4=1\mod 3. $

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    I turned my answer into something that is more like a hint and less like a full answer.2011-10-23