#pragma GCC optimize ("O3") #pragma GCC target ("tune=native") #pragma GCC target ("avx") #include // 汎用マクロ #define ALL_OF(x) (x).begin(), (x).end() #define REP(i,n) for (long long i=0, i##_len=(n); i=i##_end; i--) #define UNIQUE(v) { sort((v).begin(), (v).end()); (v).erase(unique((v).begin(), (v).end()), (v).end()); } template bool chmax(T &a, const T &b) {if (a < b) {a = b; return true;} return false; } template bool chmin(T &a, const T &b) {if (a > b) {a = b; return true;} return false; } #define INF 0x7FFFFFFF #define LINF 0x7FFFFFFFFFFFFFFFLL #define Yes(q) (q ? "Yes" : "No") #define YES(q) (q ? "YES" : "NO") #define DUMP(q) cerr << "[DEBUG] " #q ": " << (q) << " at " __FILE__ ":" << __LINE__ << endl #define DUMPALL(q) { cerr << "[DEBUG] " #q ": ["; REP(dumpall_i, (q).size()) { cerr << q[dumpall_i] << (dumpall_i == (q).size() - 1 ? "" : ", "); } cerr << "] at " __FILE__ ":" << __LINE__ << endl; } template T gcd(const T &a, const T &b) { return a < b ? gcd(b, a) : b ? gcd(b, a % b) : a; } template T lcm(const T &a, const T &b) { return a / gcd(a, b) * b; } // gcc拡張マクロ #define popcount __builtin_popcount #define popcountll __builtin_popcountll // エイリアス using ll = long long; using ull = unsigned long long; using ld = long double; using namespace std; // モジュール // 処理内容 int main() { ll n; cin >> n; vector is_prime(n+1, true); vector primes; primes.reserve(n); is_prime[0] = is_prime[1] = false; RANGE(i, 2, n) { if (!is_prime[i]) continue; primes.push_back(i); for (ll j = i; j <= n; j += i) { is_prime[j] = j == i; } } ll ans = 0; for (ll i = 0, pl = primes.size(); i < pl; i++) { ll r = primes[i]; if (r * r > n * 2) break; ll p = 2; ll q = r * r - p; if (q <= n && is_prime[q]) ans += 1 + (p != q); } cout << ans << endl; }