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Solved: For exercise note that to show there is a unique
Chapter 4, Problem 32E(choose chapter or problem)
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 .