Time and Space Complexity

  • Time Complexity: The time complexity for this algorithm is O(n log log n). This makes it very efficient when dealing with large datasets.
  • Space Complexity: The space requirement is O(n). This means that an array of size n+1 will be needed to hold true or false for every number until n itself included.

C Program to Implement Sieve of Eratosthenes

The Sieve of Eratosthenes is a simple and efficient algorithm for finding all prime numbers up to a specified integer. It was created by the ancient Greek mathematician Eratosthenes and is still used today due to its efficiency when dealing with large numbers.

In this article, we will learn how to implement sieve of Eratosthenes in C.

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Implementation of the Sieve of Eratosthenes in C

To get started, we go through each number from 2 onwards marking off its multiples as composite numbers (not prime). This is repeated for every prime found....

C Program to Implement Sieve of Eratosthenes

Below is an example of a C program implementing the sieve of Eratosthenes:...

Time and Space Complexity

Time Complexity: The time complexity for this algorithm is O(n log log n). This makes it very efficient when dealing with large datasets.Space Complexity: The space requirement is O(n). This means that an array of size n+1 will be needed to hold true or false for every number until n itself included....

Applications of the Sieve of Eratosthenes

It is used in various fields which include:...

Conclusion

The Sieve of Eratosthenes is still considered as one of the most efficient and practical ways to find all prime numbers less than an upper bond. Understanding how these types of algorithms work enables one to see the beauty behind them and appreciate mathematical concepts as powerful tools for solving real-life computing problems....