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Math / Discrete Mathematics with Applications 4 / Chapter 4.7 / Problem 33E

Discrete Mathematics with Applications | 4th Edition | ISBN: 9780495391326 | Authors: Susanna S. Epp

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

Chapter 4, Problem 33E

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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 \(n^{2}\) + 2n − 3, where n is a positive integer.

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 \(n^{2}\) + 2n − 3, where n is a positive integer.

Text Transcription:

n^2

ANSWER:

Solution: Step 1 : To prove that there exists a unique prime n

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