Implement the sieve of Eratosthenes: a function for computing prime numbers, known to the ancient Greeks. Choose an integer n. This function will compute all prime numbers up to, and including, n.First insert all numbers from 1 to n into a set.Then erase all multiples of 2 (except 2); that is, 4, 6, 8, 10, 12, ... .Erase all multiples of 3, that is, 6, 9, 12, 15, ... .Go up to ?⎯⎯√n.The remaining numbers are all primes.Make sure that you use functions in your solution, including a main function.Define def sieveOfEratosthenes(n) that receives the maximum value and returns a list of all prime numbers less than or equal to this valuein main() print the list of prime numbers. Enter a positive integer: 29prime numbers up to 29 are:[2, 3, 5, 7, 11, 13, 17, 19, 23, 29]

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Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Implement the sieve of Eratosthenes: a function for computing prime numbers, known to the ancient Greeks. Choose an integer n. This function will compute all prime numbers up to, and including, n.
- First insert all numbers from 1 to n into a set.
- Then erase all multiples of 2 (except 2); that is, 4, 6, 8, 10, 12, ... .
- Erase all multiples of 3, that is, 6, 9, 12, 15, ... .
- Go up to ?⎯⎯√n.
The remaining numbers are all primes.
Make sure that you use functions in your solution, including a main function.
Define def sieveOfEratosthenes(n) that receives the maximum value and returns a list of all prime numbers less than or equal to this value
in main() print the list of prime numbers.

Enter a positive integer: 29
prime numbers up to 29 are:
[2, 3, 5, 7, 11, 13, 17, 19, 23, 29]

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