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 4.7 - Page 213: 26

Answer

$p=3$

Work Step by Step

Since $p$ divides both $a$ and $a+3$, $p$ must divide $a+3-a = 3$. Since $3$ is prime, the only prime that divides it is $3$, so $p = 3$.
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