#include #include using namespace std; using namespace atcoder; #define rep(i,n)for (int i = 0; i < int(n); ++i) #define rrep(i,n)for (int i = int(n)-1; i >= 0; --i) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() template void chmax(T& a, const T& b) {a = max(a, b);} template void chmin(T& a, const T& b) {a = min(a, b);} using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; /** * @brief Prime Table(素数テーブル) * @docs docs/prime-table.md */ vector< bool > prime_table(int n) { vector< bool > prime(n + 1, true); if(n >= 0) prime[0] = false; if(n >= 1) prime[1] = false; for(int i = 2; i * i <= n; i++) { if(!prime[i]) continue; for(int j = i * i; j <= n; j += i) { prime[j] = false; } } return prime; } uint64_t kth_root_integer(uint64_t a, int k) { if(k == 1) return a; auto check = [&](uint32_t x) { uint64_t mul = 1; for(int j = 0; j < k; j++) { if(__builtin_mul_overflow(mul, x, &mul)) return false; } return mul <= a; }; uint64_t ret = 0; for(int i = 31; i >= 0; i--) { if(check(ret | (1u << i))) ret |= 1u << i; } return ret; } /** * @brief Prime Count(素数の個数) */ template< int64_t LIM = 100000000000LL > struct PrimeCount { private: int64_t sq; vector< bool > prime; vector< int64_t > prime_sum, primes; int64_t p2(int64_t x, int64_t y) { if(x < 4) return 0; int64_t a = pi(y); int64_t b = pi(kth_root_integer(x, 2)); if(a >= b) return 0; int64_t sum = (a - 2) * (a + 1) / 2 - (b - 2) * (b + 1) / 2; for(int64_t i = a; i < b; i++) sum += pi(x / primes[i]); return sum; } int64_t phi(int64_t m, int64_t n) { if(m < 1) return 0; if(n > m) return 1; if(n < 1) return m; if(m <= primes[n - 1] * primes[n - 1]) return pi(m) - n + 1; if(m <= primes[n - 1] * primes[n - 1] * primes[n - 1] && m <= sq) { int64_t sx = pi(kth_root_integer(m, 2)); int64_t ans = pi(m) - (sx + n - 2) * (sx - n + 1) / 2; for(int64_t i = n; i < sx; ++i) ans += pi(m / primes[i]); return ans; } return phi(m, n - 1) - phi(m / primes[n - 1], n - 1); } public: PrimeCount() : sq(kth_root_integer(LIM, 2)), prime_sum(sq + 1) { prime = prime_table(sq); for(int i = 1; i <= sq; i++) prime_sum[i] = prime_sum[i - 1] + prime[i]; primes.reserve(prime_sum[sq]); for(int i = 1; i <= sq; i++) if(prime[i]) primes.push_back(i); } int64_t pi(int64_t n) { if(n <= sq) return prime_sum[n]; int64_t m = kth_root_integer(n, 3); int64_t a = pi(m); return phi(n, a) + a - 1 - p2(n, m); } }; int main() { ios::sync_with_stdio(false); cin.tie(0); PrimeCount pc; ll l, r; cin >> l >> r; ll ans = pc.pi(r) - pc.pi(l - 1) + (l < r ? pc.pi(2 * (r - 1) + 1) - pc.pi(2 * l) : 0); cout << ans << endl; }