#include "bits/stdc++.h" using namespace std; using ll = long long; using pii = pair; using pll = pair; using vi = vector; using vl = vector; using vvi = vector; using vvl = vector; const int INF = 1 << 28; const ll MOD = 1000000007; template bool chmax(T &a, const T &b) { return (a < b) ? (a = b, 1) : 0; } template bool chmin(T &a, const T &b) { return (b < a) ? (a = b, 1) : 0; } struct Sieve { vector isPrime; Sieve(size_t max) : isPrime(max + 1, true) { isPrime[0] = false; // 0は素数ではない isPrime[1] = false; // 1は素数ではない for (size_t i = 2; i * i <= max; ++i) // 0からsqrt(max)まで調べる if (isPrime[i]) // iが素数ならば for (size_t j = 2; i * j <= max; ++j) // (max以下の)iの倍数は isPrime[i * j] = false; // 素数ではない } bool operator()(size_t n) { return isPrime[n]; } }; int main() { int n; cin >> n; int m = int(sqrt(double(2 * n))); Sieve si(n); vi primesr; vi primespq; primesr.reserve(n); primespq.reserve(n); for (int i = 2; i <= m; ++i) { if (si(i)) primesr.push_back(i); } for (int i = 2; i <= n; ++i) { if (si(i)) primespq.push_back(i); } int ret = 0; for (auto &r : primesr) { for (auto &p : primespq) { if (p > r * r / 2) break; if (binary_search(primespq.begin(), primespq.end(), r * r - p)) ret += 2; } } if (n > 1) ret -= 1; cout << ret << "\n"; return 0; }