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Sieve of Eratosthenes in java
Sieve of Eratosthenes is the ancient algorithm to find prime numbers up to a given number.
Algorithm
1. Generate integers from 2 to n (Given number).
2. Counting from 2 mark every 2nd integer. (multiples of 2)
3. Now, starting from 3 mark every third integer. (multiples of 3)
4. Finally, marking from 5 mark every 5th integer.(multiples of 5)
Program
import java.util.Scanner; public class SievePrimeFactors { public static void main(String args[]) { Scanner sc = new Scanner(System.in); System.out.println("Enter a number"); int num = sc.nextInt(); boolean[] bool = new boolean[num]; for (int i = 0; i< bool.length; i++) { bool[i] = true; } for (int i = 2; i< Math.sqrt(num); i++) { if(bool[i] == true) { for(int j = (i*i); j<num; j = j+i) { bool[j] = false; } } } System.out.println("List of prime numbers upto given number are : "); for (int i = 2; i< bool.length; i++) { if(bool[i]==true) { System.out.println(i); } } } }
Output
Enter a number 50 List of prime numbers up to given number are : 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
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