#include #define EPS 1e-9 #define INF 1070000000LL #define MOD 1000000007LL #define fir first #define foreach(it,X) for(auto it=(X).begin();it!=(X).end();it++) #define numa(x,a) for(auto x: a) #define ite iterator #define mp make_pair #define mt make_tuple #define rep(i,n) rep2(i,0,n) #define rep2(i,m,n) for(int i=m;i<(n);i++) #define pb push_back #define pf push_front #define sec second #define sz(x) ((int)(x).size()) #define ALL( c ) (c).begin(), (c).end() #define gcd(a,b) __gcd(a,b) #define mem(x,n) memset(x,n,sizeof(x)) #define endl "\n" using namespace std; template void deploy(std::ostream &os, const TUPLE &tuple){} template void deploy(std::ostream &os, const TUPLE &t){ os << (POS == 0 ? "" : ", ") << get(t); deploy(os, t); } template std::ostream& operator<<(std::ostream &os, std::vector &v){ int remain = v.size(); os << "{"; for(auto e: v) os << e << (--remain == 0 ? "}" : ", "); return os; } template std::ostream& operator<<(std::ostream &os, std::set &v){ int remain = v.size(); os << "{"; for(auto e: v) os << e << (--remain == 0 ? "}" : ", "); return os; } template std::ostream& operator<<(std::ostream &os, std::map &mp){ int remain = mp.size(); os << "{"; for(auto e: mp) os << "(" << e.first << " -> " << e.second << ")" << (--remain == 0 ? "}" : ", "); return os; } #define DEBUG1(var0) { std::cerr << (#var0) << "=" << (var0) << endl; } #define DEBUG2(var0, var1) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG1(var1); } #define DEBUG3(var0, var1, var2) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG2(var1,var2); } #define DEBUG4(var0, var1, var2, var3) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG3(var1,var2,var3); } using ll = long long; #define MAX_N 200100 int K,N; vector interval_Eratosthenes(ll a,ll b){ vector is_prime(MAX_N); vector is_prime_small(MAX_N); for(ll i = 0; (ll) i * i < b ; i++){ is_prime_small[i] = true; } for(ll i = 0; i < b - a; i++){ is_prime[i] = true; } for(ll i = 2 ; (ll) i * i < b; i++){ if(is_prime_small[i]){ for(ll j = 2 * i; (ll) j * j < b ; j+= i){ is_prime_small[j] = false; } for(ll j = max(2LL,(a+i-1)/i) * i; j < b; j+= i){ is_prime[j-a] = false; } } } vector ans; for(ll i = 0; i < b-a ; i++){ if(is_prime[i]){ ans.pb(a + i); } } return ans; } int calc(ll x){ if(x < 10){ return x; } ll ret = 0; while(x != 0){ ret += x % 10; x /= 10; } return calc(ret); } int main(){ cin.tie(0); ios_base::sync_with_stdio(0); cin >> K >> N; auto pr = interval_Eratosthenes(max(2,K),N+1); auto pr2 = pr; rep(i,sz(pr)){ pr[i] = calc(pr[i]); } //DEBUG1(pr); //DEBUG1(pr2); int ans = 0; int ans_num = 0; int memo[10]; int start = 0; mem(memo,-1); rep(i,sz(pr)){ if(memo[pr[i]] == -1){ memo[pr[i]] = i; }else{ if(ans < i-start){ ans = i-start; ans_num = pr2[start]; }else if(ans == i-start && ans_num <= pr2[start]){ ans_num = pr2[start]; } start = memo[pr[i]]+1; memo[pr[i]] = i; for(int j = 0; j <= 9;j++){ if(memo[j] < start){ memo[j] = -1; } } } //DEBUG3(i,start,ans_num); } if(ans < sz(pr)-start){ ans = sz(pr)-start; ans_num = pr2[start]; }else if(ans == sz(pr)-start && ans_num <= pr2[start]){ //DEBUG2(start,ans_num); ans_num = pr2[start]; } cout << ans_num << endl; return 0; }