#include using namespace std; using ll = long long; #define rep(i,m,n) for(int i=m; i> N; vector is_prime(500010, true); vector prime_list; is_prime[0] = is_prime[1] = false; for(int i=2; i<=500010; ++i){ if(!is_prime[i]) continue; prime_list.push_back(i); for(int j=2*i; j<=500010; j+=i){ is_prime[j] = false; } } int ans = 0; for(int r : prime_list){ if(r*r >= 2*N || r > N) break; for(int p : prime_list){ if(r*r <= p || p > N) break; int q = r*r - p; if(is_prime[q] && q <= N) ans++; } } cout << ans << endl; return 0; }