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Hi, so I have a question that I know that there must exist some example for...

Hi, so I have a question that I know that there must exist some example for which the following is true, but I don't know what it would be, as 0 is not positive and 1 is neither prime nor composite. Please help if you can!

Suppose that a,p,n are positive integers. Consider the claim:

If p|a^n, then p^n|a^n.

Are there any non-prime, positive integers for which the claim is true for all positive integers a and n? Justify your answer.

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Answer #1

By using one property of interger i will prove 0 is not positive as well as negative and 2nd property which no longer ture which proved by counter example

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