Prime number proof

Name: Prime number proof
Brand: BrainMass
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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 May 24, 2023, 1:14 pm ad1c9bdddf
https://brainmass.com/math/number-theory/prime-number-proof-13890

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. ...

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

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