#ifdef DEBUG_IS_VALID #define DEB 1 #define _LIBCPP_DEBUG 0 #else #define DEB 0 #define NDEBUG #endif #include using namespace std; #define ALL(g) (g).begin(),(g).end() #define REP(i, x, n) for(int i = x; i < n; i++) #define rep(i,n) REP(i,0,n) #define RREP(i, x, n) for(int i = x; i >= n; i--) #define rrep(i, n) RREP(i,n,0) #define pb push_back #define fi first #define se second #pragma GCC optimize ("-O3") using namespace std; #define DUMPOUT cout #define dump(...) if(DEB) DUMPOUT<<" "<<#__VA_ARGS__<<" :["<<__LINE__<<":"<<__FUNCTION__<<"]"<ostream& operator << (ostream& os, pair p){cout << "(" << p.first << ", " << p.second << ")"; return os;} templateostream& operator << (ostream& os, vector& vec) { os << "{"; for (int i = 0; iostream& operator << (ostream& os, set& st){cout << "{"; for(auto itr = st.begin(); itr != st.end(); itr++) cout << *itr << (next(itr)!=st.end() ? ", " : ""); cout << "}"; return os;} templateostream& operator << (ostream& os, map mp){cout << "{"; for(auto itr = mp.begin(); itr != mp.end(); itr++) cout << "(" << (itr->first) << ", " << (itr->second) << ")" << (next(itr)!=mp.end() ? "," : ""); cout << "}"; return os; } void dump_func(){DUMPOUT << endl;} template void dump_func(Head&& head, Tail&&... tail){ DUMPOUT << head; if (sizeof...(Tail) == 0) { DUMPOUT << " "; } else { DUMPOUT << ", "; } dump_func(std::move(tail)...);} template inline bool chmax(T& a,T const& b){if(a>=b) return false; a=b; return true;} template inline bool chmin(T& a,T const& b){if(a<=b) return false; a=b; return true;} void solve(); int main(void) { std::cout << std::fixed << std::setprecision(15); solve(); return 0; } using ll = long long; using P = pair; using Pl = pair; using vi = vector; using vvi = vector; using vl = vector; using vvl = vector; using vp = vector; using vvp = vector; const int INF = 1<<29; const long long LINF=1LL<<59; // 素数 vector primes(ll n, vector& is_prime) { is_prime[0] = is_prime[1] = false; vector res; for(ll i = 2; i <= n; i++){ if(!is_prime[i]) continue; for(ll j = 2; j*i <= n; j++) is_prime[j*i] = false; res.push_back(i); } return res; } void solve(){ ll N; cin >> N ; vector is_prime(N+1,true); auto pr = primes(N, is_prime); ll ans = 0; for(auto r:pr){ if(r*r>2*N) continue; // r ~ sqrt(N) ll d = r*r; for(auto p:pr){ if(d-p>N) continue; if(p<=d-p && is_prime[d-p]){ ans += (2*p==d ? 1 : 2); } } } cout << ans << endl; }