Question

Use the test for primality to determine whether the following numbers are prime or not. Test for Primality Given an integer n > 1, to test whether n is prime check to see if it is divisible by a prime number less than or equal to its square root. If it is not divisible by any of these numbers, then it is prime. (a) Let n = 589. How many prime numbers are less than or equal to the square root of n? Is n divisible by any of these numbers? Yes No Is n prime? Yes No (b) Let n = 719. How many prime numbers are less than or equal to the square root of n? Is n divisible by any of these numbers? Yes No Is n prime? Yes No

          Use the test for primality to determine whether the following numbers are prime or not.
Test for Primality
Given an integer n > 1, to test whether n is prime check to see if it is divisible by a prime number less than or equal to its square root. If it is not divisible by any of these numbers, then it is prime.
(a) Let n = 589.
How many prime numbers are less than or equal to the square root of n?
Is n divisible by any of these numbers?
Yes
No
Is n prime?
Yes
No
(b) Let n = 719.
How many prime numbers are less than or equal to the square root of n?
Is n divisible by any of these numbers?
Yes
No
Is n prime?
Yes
No

Show more…

Use the test for primality to determine whether the following numbers are prime or not.
Test for Primality
Given an integer n > 1, to test whether n is prime check to see if it is divisible by a prime number less than or equal to its square root. If it is not divisible by any of these numbers, then it is prime.
(a) Let n = 589.
How many prime numbers are less than or equal to the square root of n?
Is n divisible by any of these numbers?
Yes
No
Is n prime?
Yes
No
(b) Let n = 719.
How many prime numbers are less than or equal to the square root of n?
Is n divisible by any of these numbers?
Yes
No
Is n prime?
Yes
No

Added by John T.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

03/06/2023

Step 1

For n = 589, the square root is approximately $\sqrt{589} \approx 24.27$. For n = 719, the square root is approximately $\sqrt{719} \approx 26.83$. Now, we need to find the prime numbers less than or equal to the square root of each number. For n = 589, the Show more…

Show all steps

lock

Thanks for your feedback!

Use the test for primality to determine whether the following numbers are prime or not. Test for Primality Given an integer n > 1, to test whether n is prime check to see if it is divisible by a prime number less than or equal to its square root. If it is not divisible by any of these numbers, then it is prime. (a) Let n = 589. How many prime numbers are less than or equal to the square root of n? Is n divisible by any of these numbers? Yes No Is n prime? Yes No (b) Let n = 719. How many prime numbers are less than or equal to the square root of n? Is n divisible by any of these numbers? Yes No Is n prime? Yes No

Play audio

Feedback

Powered by NumerAI

Sri K and 86 other subject Calculus 3 educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later