# Prime number proof

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

, for all nâ‰¥p.

Here [r] denotes the greatest integer â‰¤ r , for any real number r.

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

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Please see the attachment.

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.

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