Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 4 - Elementary Number Theory and Methods of Proof - Exercise Set 4.1 - Page 162: 52

Answer

The statement is false. Counterexample: For m=3, we have, m^{2} - 4 = 9-4 = 5 , which is a prime number. So, the statement is false.

Work Step by Step

To check if the statement is true or false. Try inserting some random values of m. In this case, since the statement says m>2, lets try with m=3. When m=3, then m^{2}- 4 = 5 (prime number) So, the statement is false.
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