# Prime number proof

Not what you're looking for?

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 ?

##### Purchase this Solution

##### Solution Summary

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

##### 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. ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Probability Quiz

Some questions on probability

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.