Project Euler(10)

Posted on Tuesday, November 25th, 2008 at 9:53 pm by Universe Queen

Problem 10:

The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17.

Find the sum of all the primes below two million.

Answer: 142913828922, and here is my list of all the primes below 2000000.

Implementation in Java:

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public class Euler10 
{	
	public static void main(String[] args) 
	{	
		int UPPERLIMIT = 2000000;
		long result = 0;
		int[] primes = new int[UPPERLIMIT+1];
		int[] numbers = new int[UPPERLIMIT+1];
		int counter = UPPERLIMIT-1;
 
		for( int i=0; i<numbers.length; i++ )
		{
			numbers[i] = i;
			primes[i] = 0;
		}
 
		numbers[1] = 0;
 
		int j = 2;
 
		while( counter > 0 )
		{
			while( numbers[j]==0 )
			{
				j++;
			}
 
			primes[j] = numbers[j];
			numbers[j] = 0;
			counter--;
 
			int k=2;
			int index = k*primes[j];
			while( index <= UPPERLIMIT )
			{
				if( numbers[index] != 0 )
				{
					numbers[index] = 0;
					counter--;
				}
				k++;
				index = k*primes[j];
			}
		}
 
		for( int i=0; i<primes.length; i++ )
		{
			result += primes[i];
		}
 
		System.out.println( result );
	}
}

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