Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Q2) Goldbach's conjecture is one of the oldest and best-known unsolved problems in the number theory of mathematics. Every even integer greater than 2 can

image text in transcribed

Q2) Goldbach's conjecture is one of the oldest and best-known unsolved problems in the number theory of mathematics. Every even integer greater than 2 can be expressed as the sum of two primes. 1. write a function Gold(x) that takes an positive even number x>2 and it will return the number of distinct pairs of prime numbers exist whose addition is x. For example, Gold(8) should return 1 (since the only pair of prime numbers that gives 8 is (3,5) ), while Gold(14) should return 2 (there are two pairs, (7,7) and (3,11) ). 2. Write a program that will do the following: a- Create an array initialized to zero to store Gold(x) for all even numbers from 4-10,000. b. Loop over all the even numbers in the range, call Gold with the even number and save the result of Gold in the corresponding entry of the array. Use the prime numbers array produced by Q1. c. Check how many entries in the array for which the conjecture is violated. The points b and c should be performed as two loops. Parallelize the code using OpenMP. Try executing the program with 1, 2, 3, and 4 threads. Experiment with different scheduling strategies of the loop iterations (e.g., static, dynamic, guided, with different chunk sizes(at least 5)) and report your comparative results. Calculate speedup and efficiency. (20 marks)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Modern Database Management

Authors: Donald A. Carpenter Fred R. McFadden

1st Edition

8178088045, 978-8178088044

More Books

Students also viewed these Databases questions