#include #include #include #include #include #include #include #define rep(i, a, b) for (int i = int(a); i < int(b); i++) using namespace std; using ll = long long int; using P = pair; // clang-format off #ifdef _DEBUG_ #define dump(...) do{ cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; debug_print(__VA_ARGS__); } while(false) template void debug_print(const T &t, const Ts &...ts) { cerr << t; ((cerr << ", " << ts), ...); cerr << endl; } #else #define dump(...) do{ } while(false) #endif template vector make_v(size_t a, T b) { return vector(a, b); } template auto make_v(size_t a, Ts... ts) { return vector(a, make_v(ts...)); } template bool chmin(T &a, const T& b) { if (a > b) {a = b; return true; } return false; } template bool chmax(T &a, const T& b) { if (a < b) {a = b; return true; } return false; } template void print(const T& t, const Ts&... ts) { cout << t; ((cout << ' ' << ts), ...); cout << '\n'; } template void input(Ts&... ts) { (cin >> ... >> ts); } template istream &operator,(istream &in, T &t) { return in >> t; } // clang-format on int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int n; cin, n; vector is_prime(n + 1, true); is_prime[0] = is_prime[1] = false; vector primes; rep(i, 2, n + 1) { if (is_prime[i]) { primes.push_back(i); for (int j = i * 2; j <= n; j += i) { is_prime[j] = false; } } } int ans = 0; for (int i = 0; i < primes.size() && primes[i] * primes[i] <= n; i++) { for (auto p : primes) { ll q = primes[i] * primes[i] - p; ans += (0 <= q && q <= n && is_prime[q]); } } print(ans); return 0; }