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    Prime number proof

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    Prove that if p is a prime number, then p divides

    , for all n≥p.

    Here [r] denotes the greatest integer ≤ r , for any real number r.

    Does this result generalize to a result about instead of p ?

    © BrainMass Inc. brainmass.com March 4, 2021, 5:50 pm ad1c9bdddf
    https://brainmass.com/math/number-theory/prime-number-proof-13890

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    For any prime , we have . So we can assume . Now for any continuous integers , we also have

    Let's come back to the problem. ...

    Solution Summary

    This solution shows a prime number proof. The results generalized to a result are analyzed.

    $2.19

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