Q5step by step solution Problem 5. Code the function sieve(n), where n is an integer greater than 1, which computesand returns the list of all the prime numbers that are less than or equal to n using the sieve ofEratosthenes algorithm.Problem 6. Code the function gcd(a,b) which computes and returns the greatest common divisorof the given positive integers a and b using Euclid's algorithm.(6.1) Implement the function non-recursively using a loop statement.(6.2) Implement the function using recursion (no loop statements).Note: For Problems 5-6, you may provide the code in Python or C.

Create a boolean list is_prime of size n+1, initialized to True.Set is_prime[0] and is_prime[1] to…

Problem 5. Code the function sieve(n), where n is an integer greater than 1, which computes and returns the list of all the prime numbers that are less than or equal to n using the sieve of Eratosthenes algorithm.

Problem 5. Code the function sieve(n), where n is an integer greater than 1, which computes and returns the list of all the prime numbers that are less than or equal to n using the sieve of Eratosthenes algorithm.

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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Problem 5. Code the function sieve(n), where n is an integer greater than 1, which computes
and returns the list of all the prime numbers that are less than or equal to n using the sieve of
Eratosthenes algorithm.
Problem 6. Code the function gcd(a,b) which computes and returns the greatest common divisor
of the given positive integers a and b using Euclid's algorithm.
(6.1) Implement the function non-recursively using a loop statement.
(6.2) Implement the function using recursion (no loop statements).
Note: For Problems 5-6, you may provide the code in Python or C.

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