#include #define FOR(i,a,b) for (int i=(a);i<(b);i++) #define FORR(i,a,b) for (int i=(a);i>=(b);i--) #define pb push_back #define pcnt __builtin_popcount #define show(x) cout<<#x<<" = "< pii; typedef vector vi; typedef vector vvi; typedef vector vpii; typedef set si; typedef pair pll; typedef vector vl; typedef vector vvl; typedef vector vpll; typedef set sl; templatestring join(vector&v) {stringstream s;FOR(i,0,sz(v))s<<' '<b)swap(a,b);for(;a>0;b%=a,swap(a,b));return b;} int modpow(ll a,ll n,int m){if(a==0)return a;ll p=1;for(;n>0;n/=2,a=a*a%m)if(n&1)p=p*a%m;return(int)p;} void dout(double d){printf("%.12f\n",d);} const int iinf = 1e9; const ll linf = 1e18; const int mod = 1e9+7; const double pi = acos(-1); const double eps = 1e-10; struct Prime{ vl pl; random_device rnd; mt19937_64 mt; Prime(){ mt = mt19937_64(rnd()); } __int128_t mp(ll _a,ll n,ll m){ if(_a==0)return 0; __int128_t a=_a, p=1; for(;n>0;n/=2,a=a*a%m)if(n&1)p=p*a%m; return p; } bool miller_rabin(ll _n){ __int128_t n, t, y; ll a, d; _n = abs(_n); if(_n==2) return true; if(_n==1||(_n&1)==0) return false; uniform_int_distribution dist(1, _n-1); n = __int128_t(_n); d = _n-1; while((d&1)==0) d>>=1; FOR(i, 0, 25){ a = dist(mt); t = d; y = mp(a,t,_n); while(t != _n-1 && y != 1 &&y != n-1){ y = (y*y)%_n; t <<= 1; } if(y != _n-1 && (t&1) == 0) return false; } return true; } bool is_prime(ll a){ if(a < 2)return false; each(itr, pl){ if(*itr * *itr > a)return true; if(a%*itr == 0)return false; } return true; } void init(int a){ pl.resize(0); pl.pb(2); pl.pb(3); int i = 5; while(i <= a){ if(is_prime(i)) pl.pb(i); i += 2; if(is_prime(i)) pl.pb(i); i += 4; } } void prime_division(ll a, vpii&v){ // vに素因数分解の結果が入る v.resize(0); for(vl::iterator itr = pl.begin(); *itr * *itr <= a; itr++){ if(a%*itr == 0){ ll c = 0; while((a%*itr) == 0){ a /= *itr; c++; } v.pb(pii(*itr, c)); } } if(a > 1)v.pb(pii(a, 1)); } void divisor(ll a, vl&v){ // v に約数が入る v.pb(1); for(vl::iterator itr = pl.begin(); *itr * *itr <= a; itr++){ if(a%*itr == 0){ ll b = 1, vs = sz(v); while((a%*itr) == 0){ a /= *itr; b *= *itr; FOR(j, 0, vs)v.pb(v[j] * b); } } } if(a>1){ int vs = sz(v); FOR(j, 0, vs)v.pb(v[j] * a); } } }; ll q, n, t, a, b; Prime pr; bool check(){ if((n%2)==0){ if(n==2){ return false; }else{ return true; } }else{ t = 2; while(t < n){ a = n - t; b = a; FOR(j, 1, 1 + round(log2(a))){ if(j > 1) b = round(pow(a, 1.0 / j)); if(pr.miller_rabin(b)){ while(a%b==0) a /= b; if(a == 1){ return true; } } } t <<= 1; } } return false; } main(){ cin.tie(0); ios::sync_with_stdio(false); cin >> q; FOR(i, 0, q){ cin >> n; cout << (check() ? "Yes" : "No") << endl; } return 0; }