Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.1 Number Theory: Prime and Composite Numbers - Exercise Set 5.1: 85

Answer

241 is not a Germain prime

Work Step by Step

A prime number $p$ is a Germain prime if $2p+1$ is also a prime. This means that 241 is a Germain prime if: $2(241)+1$ is also a prime number Note that $2(241)+1=483$, which is not a prime number. Thus, 241 is not a Germain prime.
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