#include #include using namespace std; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define all(x) (x).begin(), (x).end() #define ll long long #define ld long double #define INF 1000000000000000000 typedef pair pll; int main() { cin.tie(0); ios::sync_with_stdio(false); int N; cin >> N; int MAX = N + 1; vector is_prime(MAX, 1); vector primes, pows; is_prime[0] = 0, is_prime[1] = 0; for (int i = 2; i < MAX; ++i) { if (!is_prime[i]) continue; for (int j = 2 * i; j < MAX; j += i) is_prime[j] = 0; } rep(i, MAX) { if (is_prime[i]) { primes.push_back(i); if ((ll)i * i <= N * 2) pows.push_back(i * i); } } int cnt = 0; rep(i, primes.size()) { rep(j, pows.size()) { if (primes[i] > pows[j] || pows[j] - primes[i] > N) continue; else if (is_prime[pows[j] - primes[i]]) cnt++; } } cout << cnt << endl; }