#pragma GCC optimize("O3") //#pragma GCC optimize ("unroll-loops") #pragma GCC target ("avx2") #define io_init cin.tie(0);ios::sync_with_stdio(0);cout< constexpr int INF = 2147483647; constexpr long long int INF_LL = 9223372036854775807; constexpr int MOD = 1000000007; constexpr double PI = 3.14159265358979323846; using namespace std; typedef long long int ll; typedef unsigned long long int ull; bool isprime_int64(ll N) { if (N == 2)return 1; if (N % 2 == 0 || N <= 2)return 0; ll s = 0, d; ll a[] = { 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31,37 }; for (int i = N - 1; i % 2 == 0; i /= 2)s++, d = i / 2; auto modpow = [](ll x, ll k, ll mod) { ll res = 1; for (x %= mod; k; x = x * x % mod, k >>= 1) if (k & 1) res = res * x % mod; return res; }; for (int i = 0; i < 12; i++) { bool flag = 1; if (N <= a[i])continue; if (modpow(a[i], d, N) == 1)continue; for (int j = 0; j < s; j++) if (modpow(a[i], d * (1LL << j), N) == N - 1) { flag = 0; break; } if (flag)return 0; } return 1; } int main() { io_init; int N; cin >> N; for (int i = 0; i < N; i++) { int x; cin >> x; cout << x << " " << isprime_int64(x) << endl; } }