#include #define FOR(i, n, m) for(long long i = n; i < (int)m; i++) #define REP(i, n) FOR(i, 0, n) #define ALL(v) v.begin(), v.end() #define pb push_back using namespace std; using ll = std::int_fast64_t; using ld = long double; using P = pair; constexpr ll inf = 1000000000; constexpr ll mod = 1000000007; constexpr long double eps = 1e-15; template ostream& operator<<(ostream& os, pair p) { os << to_string(p.first) << " " << to_string(p.second); return os; } template ostream& operator<<(ostream& os, vector& v) { REP(i, v.size()) { if(i) os << " "; os << to_string(v[i]); } return os; } /* template struct Treap { double drand() { // random number in [0, 1] static random_device rd; static mt19937 mt(rd()); return (unsigned)mt() / (double)numeric_limits::max(); } T v; double p; int cnt; Treap* lch; Treap* rch; Treap(T v) : v(v), p(drand()), cnt(1), lch(NULL), rch(NULL) { } Treap* update() { this->size = size(this->lch) + size(this->rch) + 1; return this; } static int size(Treap* t) { if(!t) return 0; else return t->cnt; } static Treap* merge(Treap* l, Treap* r) { if(!l || !r) { if(!l) return r; else return l; } if(l->p >= r->p) { l->rch = merge(l->rch, r); return l->update(); } else { r->lch = merge(r->lch, l); return r->update(); } } static pair split(Treap* t, int k) { // split [0, k) and [k, n) if(k == 0) return {NULL, t}; if(!(t->l)) { auto tmp = split(t->r, k - 1); t->r = tmp.first; return {t->update(), tmp.second}; } else if(!(t->r)) { auto tmp = split(t->r, k - 1); t->r = tmp.first; return {t->update(), tmp.second}; } else { } } Treap* insert() { } Treap* erase() { } T operator[](int k) { } }; */ int main() { cin.tie(0); ios::sync_with_stdio(false); int n; cin >> n; ll ans = 0; vector prim1, prim2; vector used(505050, false); used[0] = true; used[1] = true; FOR(i, 2, 505050) { if(used[i]) continue; prim1.pb(i); if(i * i <= 2 * n) prim2.pb(i); for(ll j = 2; i * j < 505050; j++) used[i * j] = true; } REP(i, prim1.size()) REP(j, prim2.size()) { if(prim1[i] > n || prim2[j] > n) continue; if(prim2[j] * prim2[j] - prim1[i] >= 0 && prim2[j] * prim2[j] - prim1[i] <= n && !used[prim2[j] * prim2[j] - prim1[i]]) ans++; } cout << ans << endl; return 0; } // ---------------------------------------