#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 unsigned long long mod_comp(unsigned __int128 a, unsigned long long b) { unsigned long long q, r; __asm__ ( "divq\t%4" : "=a"(q), "=d"(r) : "0"((unsigned long long)(a)), "1"((unsigned long long)(a >> 64)), "rm"(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 long long x, unsigned long long k, unsigned long long mod){ unsigned long long res = 1; while(k){ if(k & 1) res = mod_comp((unsigned __int128)res * x, mod); x = mod_comp((unsigned __int128)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 = mod_comp((unsigned __int128)res * res, n); } if(ok) return false; } return true; } int main() { cin.tie(0); ios::sync_with_stdio(false); int n; cin >> n; rep(i,n){ long long x; cin >> x; cout << x << " " << check(x) << "\n"; } return 0; }