#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #if __has_include() #include using namespace atcoder; #endif #define GET_MACRO(_1, _2, _3, NAME, ...) NAME #define _rep(i, n) _rep2(i, 0, n) #define _rep2(i, a, b) for(int i = (int)(a); i < (int)(b); i++) #define rep(...) GET_MACRO(__VA_ARGS__, _rep2, _rep)(__VA_ARGS__) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() using i64 = long long; template bool chmin(T& a, const U& b) { return (b < a) ? (a = b, true) : false; } template bool chmax(T& a, const U& b) { return (b > a) ? (a = b, true) : false; } templateistream& operator>>(istream&i,vector&v){rep(j,v.size())i>>v[j];return i;} templatestring join(vector&v){stringstream s;rep(i,v.size())s<<' '<ostream& operator<<(ostream&o,vector&v){if(v.size())o<string join(vector>&vv){string s="\n";rep(i,vv.size())s+=join(vv[i])+"\n";return s;} templateostream& operator<<(ostream&o,vector>&vv){if(vv.size())o< osa_k(int n) { vector res(n + 2); iota(res.begin(), res.end(), 0); for (int i = 4; i <= n; i += 2) res[i] = 2; for (int i = 9; i <= n; i += 6) res[i] = 3; for (int i = 6; i <= n; i += 6) { if (res[i - 1] == i - 1) { int w = (i - 1); if (n / w >= w) { for (int j = w * w; j <= n; j += 2 * w) { if (res[j] == j) res[j] = w; } } } if (res[i + 1] == i + 1) { int w = (i + 1); if (n / w >= w) { for (int j = w * w; j <= n; j += 2 * w) { if (res[j] == j) res[j] = w; } } } } return res; } auto table = osa_k(2000100); int main(){ int l, r; cin >> l >> r; table[1] = 0; set prime; rep(i, 2000100){ if (table[i] == i) prime.insert(i); } i64 ans = 0; for (int a = l; a <= r; a++){ if (prime.count(a)) ans++; if (a + 1 <= r){ if (prime.count(2 * a + 1)) ans++; } } cout << ans << endl; }