#include "sieve.h"


namespace sieve {

using namespace std;

primes_t primes(size_t n)
{
    primes_t result;

    vector<char> sieve(n, false);

    for (size_t p = 2, p2 = 2*2; p2 < n; ++p, p2 = p*p) {

        if (sieve[p])
            continue;

        for (size_t i = p2; i < n; i += p) {

            sieve[i] = true;
        }
    }

    for (size_t i = 2; i < n; ++i)
        if (!sieve[i])
            result.push_back(i);

    return result;
}

}