#include #include using namespace std; long long power(long long a, int b) { long long ret = 1; while (b) { if (b & 1) ret *= a; a *= a; b >>= 1; } return ret; } long long root(long long a, int b) { // return maximum x that x^b ≤ a (assume a ≤ 10^18) if (b == 1) return a; int l = 0, r = (int)(exp((log(10) * 18 + log(3)) / b)); while (r - l > 1) { int m = (l + r) >> 1; if (power(m, b) > a) r = m; else l = m; } return l; } long long modmul(long long a, long long b, long long m) { long long ret = 0; a %= m; b %= m; while (a) { if (a & 1) { ret += b; if (ret >= m) ret -= m; } b += b; if (b >= m) b -= m; a >>= 1; } return ret; } long long modpowl(long long a, long long b, long long m) { long long ret = 1; while (b) { if (b & 1) ret = modmul(ret, a, m); a = modmul(a, a, m); b >>= 1; } return ret; } bool issprp(long long x, int a) { int s = 0; long long d = x - 1; while (!(d & 1)) d >>= 1, s++; long long z = modpowl(a, d, x); if (z == 1) return true; for (int i = 0; i < s; i++) { if (z == x - 1) return true; z = modmul(z, z, x); } return false; } bool isprime(long long x) { if (x == 2) return true; if (x <= 1 || x % 2 == 0) return false; int a[] = { 2, 3, 5, 7, 11, 13, 17, 19, 23 }; for (int i = 0; i < 9; i++) { if (x == a[i]) return true; if (!issprp(x, a[i])) return false; } return true; } bool isprimepower(long long x) { long long mul = 3; for (int i = 1; mul <= x; i++) { long long r = root(x, i); if (power(r, i) == x && isprime(r)) return true; mul *= 3; } return false; } bool solve(long long x) { if (x == 2) return false; if (x % 2 == 0) return true; for (long long b = 2; b < x; b *= 2) { if (isprimepower(x - b)) return true; } return false; } int main() { int Q; cin >> Q; while (Q--) { long long N; cin >> N; cout << (solve(N) ? "Yes" : "No") << endl; } return 0; }