#include //#include #include using namespace std; using namespace atcoder; //g++ hoge.cpp (-std=c++17) -I . で実行 #pragma GCC target("avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") typedef long long ll; typedef pair prl; typedef vector vcl; typedef map mapl; typedef unordered_map umap; #define pb push_back #define all(v) v.begin(), v.end() #define rep(i,a,b) for(ll i=a;i<=b;i++) #define repi(i,a,b) for(int i=a;i<=b;i++) #define repr(i,a,b) for(ll i=a;i>=b;i--) #define reps(i,v) for(ll i=0;i void chmin(T &a, const T &b) { a = min(a, b); } template void chmax(T &a, const T &b) { a = max(a, b); } ll myceil(ll a, ll b) { if(b < 0){ a = -a; b = -b; } return ((a > 0) ? ((a+b-1) / b) : (-(-a / b)) ); } ll myfloor(ll a, ll b) { if(b < 0){ a = -a; b = -b; } return ((a > 0) ? (a / b) : (-((-a+b-1) / b)) ); } //const ll mod = 1e9+7; //const ll mod = 998244353; //typedef modint1000000007 mint; //typedef modint998244353 mint; //typedef modint mint //cout << sum.val() << endl; //mint::set_mod(mod); modが固定でないとき //library borrowed from https://judge.yosupo.jp/submission/53928 //thanks to rich_brain int isqrt(ll n) { return sqrtl(n); } __attribute__((target("avx2"), optimize("O3", "unroll-loops"))) ll prime_pi(const ll N) { if (N <= 1) return 0; if (N == 2) return 1; const int v = isqrt(N); int s = (v + 1) / 2; vector smalls(s); for (int i = 1; i < s; ++i) smalls[i] = i; vector roughs(s); for (int i = 0; i < s; ++i) roughs[i] = 2 * i + 1; vector larges(s); for (int i = 0; i < s; ++i) larges[i] = (N / (2 * i + 1) - 1) / 2; vector skip(v + 1); const auto divide = [] (ll n, ll d) -> int { return double(n) / d; }; const auto half = [] (int n) -> int { return (n - 1) >> 1; }; int pc = 0; for (int p = 3; p <= v; p += 2) if (!skip[p]) { int q = p * p; if (ll(q) * q > N) break; skip[p] = true; for (int i = q; i <= v; i += 2 * p) skip[i] = true; int ns = 0; for (int k = 0; k < s; ++k) { int i = roughs[k]; if (skip[i]) continue; ll d = ll(i) * p; larges[ns] = larges[k] - (d <= v ? larges[smalls[d >> 1] - pc] : smalls[half(divide(N, d))]) + pc; roughs[ns++] = i; } s = ns; for (int i = half(v), j = ((v / p) - 1) | 1; j >= p; j -= 2) { int c = smalls[j >> 1] - pc; for (int e = (j * p) >> 1; i >= e; --i) smalls[i] -= c; } ++pc; } larges[0] += ll(s + 2 * (pc - 1)) * (s - 1) / 2; for (int k = 1; k < s; ++k) larges[0] -= larges[k]; for (int l = 1; l < s; ++l) { int q = roughs[l]; ll M = N / q; int e = smalls[half(M / q)] - pc; if (e < l + 1) break; ll t = 0; for (int k = l + 1; k <= e; ++k) t += smalls[half(divide(M, roughs[k]))]; larges[0] += t - ll(e - l) * (pc + l - 1); } return larges[0] + 1; } int main() { // your code goes here ll l,r,x,y; cin >> l >> r; x = prime_pi(r) - prime_pi(l-1); if(r > l) y = prime_pi(2*r-1) - prime_pi(2*l); else y = 0; print(x + y); return 0; }