// need #include #include // data structure #include #include #include #include #include #include #include #include #include //#include #include //#include #include // stream //#include //#include //#include //#include // etc #include #include #include #include #include #include #include // input #define INIT std::ios::sync_with_stdio(false);std::cin.tie(0); #define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__); template void MACRO_VAR_Scan(T& t) { std::cin >> t; } templatevoid MACRO_VAR_Scan(First& first, Rest&...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); } #define VEC_ROW(type, n, ...)std::vector __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int i=0; i void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); } templatevoid MACRO_VEC_ROW_Init(int n, First& first, Rest&...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); } template void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; } templatevoid MACRO_VEC_ROW_Scan(int p, First& first, Rest&...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); } #define VEC(type, c, n) std::vector c(n);for(auto& i:c)std::cin>>i; #define MAT(type, c, m, n) std::vector> c(m, std::vector(n));for(auto& r:c)for(auto& i:r)std::cin>>i; // output #define OUT(d) std::cout<=(a);--i) #define REP(i, n) for(int i=0;i=0;--i) #define FORLL(i, a, b) for(ll i=ll(a);i=ll(a);--i) #define REPLL(i, n) for(ll i=0;i=0;--i) #define IN(a, x, b) (a<=x && x inline T CHMAX(T& a, const T b) { return a = (a < b) ? b : a; } template inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; } #define EXCEPTION(msg) throw std::string("Exception : " msg " [ in ") + __func__ + " : " + std::to_string(__LINE__) + " lines ]" #define TRY(cond, msg) try {if (cond) EXCEPTION(msg);}catch (std::string s) {std::cerr << s << std::endl;} void CHECKTIME(std::function f) { auto start = std::chrono::system_clock::now(); f(); auto end = std::chrono::system_clock::now(); auto res = std::chrono::duration_cast((end - start)).count(); std::cerr << "[Time:" << res << "ns (" << res / (1.0e9) << "s)]\n"; } // test template std::vector> VV(int n) { return std::vector>(n); } template std::vector> VV(int n, int m, T init = T()) { return std::vector>(n, std::vector(m, init)); } template std::ostream& operator<<(std::ostream& os, std::pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } // type/const #define int ll using ll = long long; using ull = unsigned long long; using ld = long double; using PAIR = std::pair; using PAIRLL = std::pair; constexpr int INFINT = 1 << 30; // 1.07x10^ 9 constexpr int INFINT_LIM = (1LL << 31) - 1; // 2.15x10^ 9 constexpr ll INFLL = 1LL << 60; // 1.15x10^18 constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62); // 9.22x10^18 constexpr double EPS = 1e-9; constexpr int MOD = 1000000007; constexpr double PI = 3.141592653589793238462643383279; ll powMod(ll n, ll p, ll mod) { ll res = 1; while (p) { if (p & 1) res *= n; res %= mod; n *= n; n %= mod; p >>= 1; } return res; } bool suspect(ll a, int s, ll d, ll n) { ll x = powMod(a, d, n); if (x == 1) return true; for (int r = 0; r < s; ++r) { if (x == n - 1) return true; x = x * x % n; } return false; } // {2,7,61,-1} is for n < 4759123141 (= 2^32) // {2,3,5,7,11,13,17,19,23,-1} is for n < 10^16 (at least) bool isPrime(ll n) { if (n <= 1 || (n > 2 && n % 2 == 0)) return false; int test[] = { 2,3,5,7,11,13,17,19,23,-1 }; ll d = n - 1, s = 0; while (d % 2 == 0) ++s, d /= 2; for (int i = 0; test[i] < n && test[i] != -1; ++i) if (!suspect(test[i], s, d, n)) return false; return true; } ll mpow(ll n, ll p) { ll res = 1; while (p) { if (p & 1) res *= n; n *= n; p >>= 1; } return res; } signed main() { INIT; VAR(int, Q); REP(_, Q) { VAR(int, n); if (n != 2 && n % 2 == 0) { OUT("Yes")BR; continue; } bool f = false; FOR(i, 1, 61) { int t = n - mpow(2, i); if (t < 0) break; FOR(j, 1, 61) { ld rt = std::pow(t, 1.0l / j); if (rt < 0.5) break; int tt = std::round(rt); tt = std::max(2LL, tt - 100); FOR(k, tt, tt+200){ if (mpow(k, j) == t) { if (isPrime(k)) { f = true; break; } } } } } if (f) { OUT("Yes")BR; } else { OUT("No")BR; } } return 0; }