// #define DEBUGGING #include using namespace std; #define endl '\n' #define ALL(V) (V).begin(), (V).end() #define ALLR(V) (V).rbegin(), (V).rend() template using V = vector; template using VV = V>; template using P = pair; using ll = int64_t; using PLL = P; template const T& var_min(const T &t) { return t; } template const T& var_max(const T &t) { return t; } template const T& var_min(const T &t, const Tail&... tail) { return min(t, var_min(tail...)); } template const T& var_max(const T &t, const Tail&... tail) { return max(t, var_max(tail...)); } template void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); } template void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); } template const T& clamp(const T &t, const T &low, const T &high) { return max(low, min(high, t)); } template void chclamp(T &t, const T &low, const T &high) { t = clamp(t, low, high); } namespace init__ { struct InitIO { InitIO() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(30); } } init_io; } #ifdef DEBUGGING #include "../debug.cpp" #else #define DEBUG(...) 0 #define DEBUG_SEPARATOR_LINE 0 #endif template T make_v(T init) { return init; } template auto make_v(T init, size_t s, Tail... tail) { #define rec make_v(init, tail...) return V(s, rec); #undef rec } ll N; using TLL = tuple; bool check(TLL t) { ll p, q, r; tie(p, q, r) = t; return 2 <= p && p <= N && 2 <= q && q <= N && 2 <= r && r <= N && p + q == r * r; } int main() { cin >> N; V primes; V used(2 * N + 10, false); for(ll i = 2; i < used.size(); i++) { if(used[i]) continue; primes.push_back(i); for(ll j = 1; i * j < used.size(); j++) used[i * j] = true; } V ans = { { 2, 2, 2, }, }; for(ll r : primes) { ll p = 2; ll q = r * r - p; auto ite = lower_bound(ALL(primes), q); if(ite == primes.end()) continue; if(*ite != q) continue; ans.emplace_back(p, q, r); ans.emplace_back(q, p, r); } sort(ALL(ans)); auto ite = unique(ALL(ans)); ans.erase(ite, ans.end()); ll cnt = 0; for(auto t : ans) cnt += check(t); cout << cnt << endl; return 0; }