#include using namespace std; long long pow_mod(long long x, long long n, long long m) { assert(0 <= n && 1 <= m); if (m == 1) return 0; __int128 r = 1, y = (x % m + m) % m; while (n > 0) { if (n & 1) r = r * y % m; y = y * y % m; n >>= 1; } return r; } bool is_prime(long long n) { if (n <= 1) return false; if (n == 2) return true; if (n % 2 == 0) return false; constexpr long long bases[7] = {2, 325, 9375, 28178, 450775, 9780504, 1795265022}; long long u = n - 1; int t = __builtin_ctzll(u); u >>= t; for (long long a : bases) { if (a >= n) break; __int128 x = pow_mod(a, u, n); for (int i = 0; i < t; ++i) { __int128 y = x * x % n; if (y == 1 && x != 1 && x != n - 1) return false; x = y; } if (x != 1) return false; } return true; } int main() { int n; cin >> n; while (n--) { long long x; cin >> x; cout << x << ' ' << is_prime(x) << '\n'; } }