[C++] 10001-sza liczba pierwsza

/*
Project Euler("https://projecteuler.net/archives")
Problem 7

By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13.
What is the 10 001st prime number?
*/

int main(){

	long long num = 1000000, exist = 0;
	bool primeFactor = true;

	for (long long i = 2; i < num; i++){
		for(long long j = 1; j < i; j++){
			if( j != 1 && i%j == 0) primeFactor = false;
		}
		if(primeFactor == true){
			exist++;
			if(exist == 10001) cout << i << endl;
		}
		primeFactor = true;
	}
	system("PAUSE");
}