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Prime Numbers and Twin Prime Numbers

Concurrency Project

Developer: Theodora Tataru
Tutor: Joseph Kehoe
Institute of Technology Carlow, 2021

Prime Numbers

There are an infinite number of prime numbers. Amongst the primes there are what are known as twin primes.

A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair: (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term twin prime is used for a pair of twin primes; an alternative name for this is prime twin or prime pair.

It is (currently) unknown whether there are an infinite number of twin primes.

Examples include:

(3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41,43),... 

The task is to write a parallel program that counts the number of primes less than n for any number n and also finds and lists all twin primes less than n. The code should run on linux.

Example output after running code with n = 50 would be:

>
primeTwinCount 50

Total number of primes: 15

Twin Primes: 3, 5, 7, 11, 13, 17, 19, 29, 31, 41, 43

>

The project consists of:

  • Source Code

Full source code includes:

  • README

  • full installation instructions

  • Makefile

  • Doxygen

  • Configuration file

  • Report

    A short report on the approach took to achieving maximum concurrency. This will contain:

     1. Pseudocode Outline of the algorithm illustrated with pseudocode;
    
     2. Speedup Results Both absolute speedup and relative speedup should be calculated
    
     3. Scalability Graph(s) showing the scalabiltiy of the code.
    

The report can be found at: https://github.com/DoraTheodora/PrimeNumbers_TwinPrimeNumbers/blob/main/Theodora_Tatatu-Report.pdf

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