sieve of Eratosthenes using vector

[leeli0830]

This is the best code from my brain. Can you guys give any advice for it? This is far easier than my friend's program. Did I forget something?

#include <iostream>
#include <vector>

using namespace std;

int main() {

	int i;
	cout << "Enter an integer: ";
	cin >> i;

	vector<int> v;

	for (int k = 0; k <i; k ++)
	{
		v.push_back(k);
	}

	for (int a = 2; a < 1000; a++)
	{
		for (int b = 2; a*b < i; b++)
		{
			v[a*b] = 0;
		}
	}

	for (int c = 0; c < v.size(); c++)
	{
		if (v[c] != 0 && v[c] != 1)
		{
			cout << v[c] << " ";
		}
	}

	cout << endl;
}