Explanation Given: Set of prime numbers. Concept used: By uniqueness. Calculation: Uniqueness:Suppose it has a number n > 2 with prime number of the form n 2 − 1 . Then since n 2 − 1 = ( n − 1 ) (

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ISBN: 9781133417071

Author: EPP

Publisher: CENGAGE LEARNING - CONSIGNMENT

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Chapter 4.6, Problem 32ES

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Toprove:There exists a unique prime number of the form n2−1 , where n is an integer that is greater than or equal to 2.

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Chapter 4.6, Problem 31ES

Chapter 4.6, Problem 33ES

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Chapter 4 Solutions

EBK DISCRETE MATHEMATICS: INTRODUCTION

Ch. 4.1 - Prob. 1ES Ch. 4.1 - Prob. 2ES Ch. 4.1 - Prob. 3ES Ch. 4.1 - Prob. 4ES Ch. 4.1 - Prob. 5ES Ch. 4.1 - Prob. 6ES Ch. 4.1 - Prob. 7ES Ch. 4.1 - Prob. 8ES Ch. 4.1 - Prob. 9ES Ch. 4.1 - Prob. 10ES

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Toprove: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.

Solution Summary: The author explains that there exists a unique prime number of the form n2-1, where n is an integer that is greater than or equal to 2.

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Toprove:There exists a unique prime number of the form n2−1 , where n is an integer that is greater than or equal to 2.

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Chapter 4 Solutions