Project Euler problem one

I am using Project Euler to test myself on the Java programming that I am teaching myself and here is problem one: If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23.

Find the sum of all the multiples of 3 or 5 below 1000.


Here is my Java attempt at calculating it

Code :

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public class problemOne {
    public static void main(String[] args) {
        int count;
        int sum = 0;
//Multiples of 3
        for(count = 0; count < 1000; count += 3){
            System.out.println("count is: " + count);
            sum = sum + count;
        }
//Multiples of 5
        for(count = 0; count < 1000; count += 5){
            System.out.println("count is: " + count);
            sum = sum + count;
        }
        System.out.println("Total is: " + sum);
    }
}

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I get 26333 as the answer but when I enter that at projecteuler.net it says incorrect.
Is there an error in the logic that I used to calculate? If so, where is it so I can rethink it.

You're forgetting that some numbers are multiples of *both* 3 and 5, and you are in effect adding these numbers *twice*.

Quote:

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Originally Posted by curmudgeon

You're forgetting that some numbers are multiples of *both* 3 and 5, and you are in effect adding these numbers *twice*.

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Thanks

I got it figured out! Now on to problem 2...