1000th Prime number

#include <stdio.h>

#define MAX_N 100000
unsigned char prime[MAX_N+1];

int main() {
    unsigned int i, j, count = 0;

    // Assume everything is prime:
    for (i = 0; i <= MAX_N; i++)
        prime[i] = 1;

    // 0 and 1 are not primes:
    prime[0] = prime[1] = 0;

    // Generate Prime Numbers <Sieve>:
    for (i = 2; i <= MAX_N; i++)
        if (prime[i]) {
            if (++count == 1000) {
                printf("%d\n", i);
                return 0;
            }
            for (j = i*i; j <= MAX_N; j+=i)
                prime[j] = 0;
        }

    return 0;
}