#include #include #include #include #include #include #include #include #include using namespace std; using ll = long long int; #define REP(i, n) for(int i = 0; i < (int)(n); i++) #define YES(n) std::cout << ((n) ? "YES" : "NO" ) << "\n"; #define Yes(n) std::cout << ((n) ? "Yes" : "No" ) << "\n"; #define ALL_INCLUDED_ENVIRONMENT /* * Eratosthenes' sieve; prime factorization */ #ifndef ALL_INCLUDED_ENVIRONMENT #include #include #endif const long long MAX_PRIME = 500000; bool is_prime[MAX_PRIME+1]; std::vector primes; void build_sieve () { // initialize for (long long x = 0; x <= MAX_PRIME; x++) is_prime[x] = 1; // special treatment for 2 is_prime[0] = 0; is_prime[1] = 0; primes.push_back(2); for (long long x = 4; x <= MAX_PRIME; x += 2) { is_prime[x] = 0; } for (long long p = 3; p <= MAX_PRIME; p += 2) { if (is_prime[p] == 1) { primes.push_back(p); for (long long x = p*p; x <= MAX_PRIME; x += p) { is_prime[x] = 0; } } } } std::vector > factorize (long long x) { std::vector > res; for (auto p : primes) { if (x % p == 0) { std::pair node = std::make_pair(p, 0); while (x % p == 0) { x = x / p; node.second++; } res.push_back(node); } } if (x != 1) res.push_back(std::make_pair(x, 1)); return res; } template class C> std::ostream& operator<<(std::ostream& o, const C& v) { o << "{"; bool init = 1; for (auto e : v) { if (init) { init = 0; } else { o << ", "; } o << e; } o << "}"; return o; } int main() { // cin.tie(0); // ios::sync_with_stdio(false); ll n; cin >> n; build_sieve(); primes.erase(upper_bound(primes.begin(), primes.end(), n), primes.end()); set sq_set; // cout << primes.size() << endl; ll ans = 0; for (auto r : primes) sq_set.insert(r*r); for (auto p : primes) { if (sq_set.find(p+2) != sq_set.end()) ans += 2; } if (n >= 2) // exclude the duplication of (2, 2, 2) ans--; cout << ans << "\n"; return 0; }