prime number is an integer greater than 1 whose only positive divisors are 1 and the integer itself. The Greek mathematician Eratosthenes developed an algorithm, known as the Sieve of Eratosthenes, for finding all prime numbers less than or equal to a given number n—that is, all primes in the range 2 through n. Consider the list of numbers from 2 through n. Two is the first prime number, but the multiples of 2 (4, 6, 8,...) are not, and so they are crossed out in the list. Hie first number after 2 that was not crossed out is 3, the next prime. We then cross out from the list all higher multiples of 3 (6, 9, 12,…). The next number not crossed out is 5, the next prime, and so we cross out all higher multiples of 5 (10, 15, 20,…). We repeat this procedure until we reach the first number in the list that has not been crossed out and whose square is greater than n. All the numbers that remain in the list are the primes from 2 through n. Write a program that uses this sieve m

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
icon
Related questions
Question
100%

A prime number is an integer greater than 1 whose only positive divisors are 1 and the integer itself. The Greek mathematician Eratosthenes developed an algorithm, known as the Sieve of Eratosthenes, for finding all prime numbers less than or equal to a given number n—that is, all primes in the range 2 through n. Consider the list of numbers from 2 through n. Two is the first prime number, but the multiples of 2 (4, 6, 8,...) are not, and so they are crossed out in the list. Hie first number after 2 that was not crossed out is 3, the next prime. We then cross out from the list all higher multiples of 3 (6, 9, 12,…). The next number not crossed out is 5, the next prime, and so we cross out all higher multiples of 5 (10, 15, 20,…). We repeat this procedure until we reach the first number in the list that has not been crossed out and whose square is greater than n. All the numbers that remain in the list are the primes from 2 through n. Write a program that uses this sieve method and an array to find all the prime numbers from 2 through n. Execute the program for n = 550 and for n = 5500.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY