#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; constexpr int INF = 1001001001; constexpr int mod = 1000000007; // constexpr int mod = 998244353; template inline bool chmax(T& x, T y){ if(x < y){ x = y; return true; } return false; } template inline bool chmin(T& x, T y){ if(x > y){ x = y; return true; } return false; } struct ExtendedSieve{ vector table; const int n; ExtendedSieve(int n) : n(n) { table.assign(n + 1, 0); table[0] = table[1] = 1; for(int i = 2; i <= n; ++i){ if(table[i] > 0) continue; table[i] = i; for(int j = i + i; j <= n; j += i){ if(table[j] == 0) table[j] = i; } } } int operator[](const int& k){ return table[k]; } bool is_prime(int x){ if(x < 2) return false; return x == table[x]; } map prime_factorization(int x){ map res; while(x > 1){ ++res[table[x]]; x /= table[x]; } return res; } }; int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int N, A; cin >> N; vector f(10); for(int i = 0; i < N; ++i){ cin >> A; f[A] = true; } constexpr int MAX = 5000000; ExtendedSieve sieve(MAX); vector> S(10, vector(MAX + 2)); for(int i = 2; i <= MAX; ++i){ if(!sieve.is_prime(i)) continue; int x = i; set st; while(x > 0){ st.emplace(x % 10); x /= 10; } for(auto num : st) S[num][i + 1] = 1; } for(int i = 0; i < 10; ++i){ for(int j = 0; j <= MAX; ++j){ S[i][j + 1] += S[i][j]; } } int lb = -1, ub = MAX; while(ub - lb > 1){ int mid = (lb + ub) / 2; bool ok = false; for(int i = 0; i + mid + 1 <= MAX + 1; ++i){ bool ok2 = true; for(int j = 0; j < 10; ++j){ if(f[j]){ if(S[j][i + mid + 1] - S[j][i] == 0){ ok2 = false; break; } } else{ if(S[j][i + mid + 1] - S[j][i] > 0){ ok2 = false; break; } } } if(ok2){ ok = true; break; } } if(ok) lb = mid; else ub = mid; } cout << lb << endl; return 0; }