# Prime number proof

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 ?

Â© BrainMass Inc. brainmass.com March 4, 2021, 5:50 pm ad1c9bdddfhttps://brainmass.com/math/number-theory/prime-number-proof-13890

#### Solution Preview

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.

$2.19