Purchase Solution

Prime number proof

Not what you're looking for?

Ask Custom Question

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.