#include using namespace std; class Prime{ using int128 = __int128_t; inline static array a128 = {2,3,5,7,11,13,17,19,23,29,31,37}; inline static array a64 = {2, 7, 61}; inline static int miller_rabin64(const int128 N) { long long M = N - 1,cnt = 0; for (; M % 2 == 0; M /= 2,cnt++); for (int128 a: a128) { if(N <= a) break; int128 r = 1; for (long long K=M; K>0; K>>=1, (a*=a) %= N) if(K&1) (r *= a) %= N; if (r == 1) continue; for (int j = 1; j < cnt && r != N - 1; j++) (r *= r) %= N; if (r != N - 1) return 0; } return 1; } inline static int miller_rabin32(const long long N) { long long M = N - 1,cnt = 0; for (; M % 2 == 0; M /= 2,cnt++); for (long long a: a64) { if(N <= a) break; long long r = 1; for (long long K=M; K>0; K>>=1, (a*=a) %= N) if(K&1) (r *= a) %= N; if (r == 1) continue; for (int j = 1; j < cnt && r != N - 1; j++) (r *= r) %= N; if (r != N - 1) return 0; } return 1; } public: template inline static int MillerRabin(const T N, int challenge = 10) { if (N <= 1) return 0; if (N == 2) return 1; if (N%2 == 0) return 0; T M = N - 1,cnt = 0; for (; M % 2 == 0; M /= 2,cnt++); for (T a:{2,3,5,7,11,13,17,19,23,29,31,37}) { if(N <= a) break; T r = 1; for (T K = M; K > 0; K >>= 1, (a *= a) %= N) if (K & 1) (r *= a) %= N; if (r == 1) continue; for (int j = 1; j < cnt && r != N - 1; j++) (r *= r) %= N; if (r != N - 1) return 0; } return 1; } inline static int is_prime(long long n) { if (n <= 1) return 0; if (n == 2) return 1; if (n%2 == 0) return 0; // return MillerRabin(n); if (n < (1LL<<32)) return miller_rabin32(n); else return miller_rabin64(n); } }; int main() { cin.tie(0);ios::sync_with_stdio(false); long long N; cin >> N; string ans = ""; for(int i = 0; i < N; ++i) { long long A; cin >> A; ans += to_string(A) + " " + to_string(Prime::MillerRabin<__int128_t>(A)) + "\n"; } cout << ans; return 0; }