#include #define ll long long #define INF 1000000005 #define MOD 1000000007 #define EPS 1e-10 #define rep(i,n) for(int i=0;i<(int)(n);++i) #define rrep(i,n) for(int i=(int)(n)-1;i>=0;--i) #define srep(i,s,t) for(int i=(int)(s);i<(int)(t);++i) #define each(a,b) for(auto& (a): (b)) #define all(v) (v).begin(),(v).end() #define len(v) (int)(v).size() #define zip(v) sort(all(v)),v.erase(unique(all(v)),v.end()) #define cmx(x,y) x=max(x,y) #define cmn(x,y) x=min(x,y) #define fi first #define se second #define pb push_back #define show(x) cout<<#x<<" = "<<(x)< P; typedef pair pll; typedef vector vi; typedef vector vvi; typedef vector vl; typedef vector vvl; typedef vector vd; typedef vector

vp; typedef vector vs; const int MAX_N = 100005; // inline long long mul_mod(long long a, long long b, long long mod) { // long long d,r; // if(a==0 || b==0) return 0; // if(a==1 || b==1) return max(a,b); // __asm__("mull %4;" // "divl %2" // : "=d" (r), "=a" (d) // : "r" (mod), "a" (a), "d" (b)); // return r; // } // const vector numset = {2,7,61}; // < 4,759,123,141 ≒ 4×10^9 // const vector numset = {2,3,5,7,11,13,17}; // < 341,550,071,728,321 ≒ 3*10^14 const vector numset = {2,3,5,7,11,13,17,19,23,29,31,37}; // 2^64までいける // long long mod_pow(long long x, long long k, long long mod){ // long long res = 1; // while(k){ // if(k & 1) res = res * x % mod; // x = x * x % mod; // k >>= 1; // } // return res; // } // long long型の素数判定の場合 unsigned long long mod_pow(unsigned __int128 x, unsigned long long k, unsigned long long mod){ unsigned __int128 res = 1; while(k){ if(k & 1) res = res * x % mod; x = x * x % mod; k >>= 1; } return res; } // check if n is prime bool check(unsigned long long n){ if(n < 2) return false; unsigned long long d = n - 1, s = 0; while(d % 2 == 0){ d /= 2; s++; } for(unsigned int a : numset){ if(a == n) return true; unsigned long long res = mod_pow(a, d, n); if(res == 1) continue; bool ok = true; for(unsigned int r = 0; r < s; r++){ if(res == n-1){ ok = false; break; } res = (__int128)res * res % n; } if(ok) return false; } return true; } int main() { cin.tie(0); ios::sync_with_stdio(false); unsigned int n; cin >> n; rep(i,n){ unsigned long long x; cin >> x; cout << x << " " << check(x) << "\n"; } return 0; }