Solved: For exercise note that to show there is a unique

Chapter 4, Problem 32E

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QUESTION:

For exercises 32–35 note that to show there is a unique object with a certain property, show that (1) there is an object with the property and (2) if objects A and B have the property, then A = B.

Prove that there exists a unique prime number of the form \(n^{2}\) − 1, where n is an integer that is greater than or equal to 2.

Text Transcription:

n^2

Questions & Answers

QUESTION:

For exercises 32–35 note that to show there is a unique object with a certain property, show that (1) there is an object with the property and (2) if objects A and B have the property, then A = B.

Prove that there exists a unique prime number of the form \(n^{2}\) − 1, where n is an integer that is greater than or equal to 2.

Text Transcription:

n^2

ANSWER:

Solution:Step 1:In this question we have to prove that there exists a unique prime number of the form , where is an integer that is greater than or equal to .

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