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    Is n4 - 1 divisible by 5 when n is not divisible by 5?

    Homework Statement Show n4 - 1 is divisible by 5 when n is not divisible by 5. Homework Equations The Attempt at a Solution My thought here is proof by cases, one case being where n is divisible by 5 and the other case saying n is not divisible by 5. I am just not totally sure how to...
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