#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int DY[]{1, 0, -1, 0}, DX[]{0, -1, 0, 1}; constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1}, DX8[]{0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; std::vector prime_sieve(int n, bool get_only_prime) { std::vector prime, smallest_prime_factor(n + 1); std::iota(smallest_prime_factor.begin(), smallest_prime_factor.end(), 0); for (int i = 2; i <= n; ++i) { if (smallest_prime_factor[i] == i) prime.emplace_back(i); for (int p : prime) { if (i * p > n || p > smallest_prime_factor[i]) break; smallest_prime_factor[i * p] = p; } } return get_only_prime ? prime : smallest_prime_factor; } int main() { constexpr int M = 10; int k, n; cin >> k >> n; vector prime = prime_sieve(n, true); reverse(ALL(prime)); while (prime.back() < k) prime.pop_back(); reverse(ALL(prime)); const int m = prime.size(); vector hash(m, 0); REP(i, m) { hash[i] = prime[i]; while (hash[i] >= M) { int nxt = 0; for (char c : to_string(hash[i])) nxt = (nxt + c - '0'); hash[i] = nxt; } } int s[M]{}; vector len(m, 0); int j = 0; REP(i, m) { while (j < m && s[hash[j]] == 0) ++s[hash[j++]]; len[i] = j - i; --s[hash[i]]; } const int longest = *max_element(ALL(len)); for (int i = m - 1; i >= 0; --i) { if (len[i] == longest) { cout << prime[i] << '\n'; return 0; } } assert(false); }