import java.io.FileNotFoundException; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.ArrayList; import java.util.Arrays; import java.util.NoSuchElementException; public class Main { public static void main(String[] args) throws FileNotFoundException { long t = System.currentTimeMillis(); new Main().run(); System.err.println(System.currentTimeMillis() - t); } // n = p^aで表せるか判定 boolean check2(long n) { if (isPrime(n)) return true; for (int k = 2; k < 60; ++k) { double r = Math.pow(n, 1.0 / k); if (Math.abs(r - Math.round(r)) > 0.00001) { continue; } else { long a = Math.round(r); if (pow(a, k) == n && isPrime(a)) { return true; } } } return false; } boolean check(long n) { if (n == 1 || n == 2 || n == 3) { return false; } if (n % 2 == 0) { return true; } int c = 0; while (1L << (c + 1) <= n) ++c; for (int i = c; i >= 1; --i) { long m = n - (1L << i); if (check2(m)) { return true; } } return false; } long factor(long n) { for (int v : primeList) { if (n % v == 0) return v; } int Lim = (int) (Math.sqrt(Math.sqrt(n))); for (int c = 1; c < 200; ++c) { long x = 2; long y = (x * x + c) % n; for (int t = 0; t < Lim; ++t) { long g = gcd(n, Math.abs(x - y)); if (g != 1 && g != n) return g; if (g == n) break; x = (mul_mod(x, x, n) + c) % n; y = (mul_mod(y, y, n) + c) % n; y = (mul_mod(y, y, n) + c) % n; } } tr(n); throw new AssertionError(); } boolean isPrime(long n) { if (n == 1) return false; if (n < isPrime.length) { return isPrime[(int) n]; } if (n % 2 == 0) return false; long m = n - 1; int c = 0; while ((m & 1) == 0) { m >>= 1; ++c; } out: for (int i = 0; i < 20; ++i) { long a = (long) (Math.random() * (n - 1)) + 1; a = pow_mod(a, m, n); boolean f = a == 1 || (c > 0 && a == n - 1); if (f) continue; for (int j = 0; j < c - 1; ++j) { a = mul_mod(a, a, n); f |= a == n - 1; if (f) continue out; } if (!f) return false; } return true; } long pow(long a, long n) { long ret = 1; for (; n > 0; n >>= 1, a *= a) { if (n % 2 == 1) { ret *= a; } } return ret; } long pow_mod(long a, long n, long mod) { long ret = 1; for (; n > 0; n >>= 1, a = mul_mod(a, a, mod)) { if ((n & 1) == 1) { ret = mul_mod(ret, a, mod); } } return ret; } long gcd(long a, long b) { if (a > b) { return gcd(b, a); } long tmp; while (a != 0) { tmp = b % a; b = a; a = tmp; } return b; } long mul_mod(long a, long b, long mod) { long ret = 0; while (b > 0) { if (b % 2 == 0) { a <<= 1; if (a >= mod) a -= mod; b >>= 1; } else { ret += a; if (ret >= mod) ret -= mod; a = a <<= 1; if (a >= mod) a -= mod; b >>= 1; } } return ret; } boolean[] isPrime = new boolean[1_000_000]; ArrayList primeList = new ArrayList<>(); void run() { Arrays.fill(isPrime, true); isPrime[0] = false; isPrime[1] = false; for (int i = 2; i < isPrime.length; ++i) { if (isPrime[i]) { primeList.add(i); for (int j = 2 * i; j < isPrime.length; j += i) { isPrime[j] = false; } } } Scanner sc = new Scanner(); int Q = sc.nextInt(); PrintWriter pw = new PrintWriter(System.out); while (Q-- > 0) { long n = sc.nextLong(); pw.println(check(n) ? "Yes" : "No"); } pw.close(); } class Scanner { private final InputStream in = System.in; private final byte[] buffer = new byte[1024]; private int ptr = 0; private int buflen = 0; private boolean hasNextByte() { if (ptr < buflen) { return true; } else { ptr = 0; try { buflen = in.read(buffer); } catch (IOException e) { e.printStackTrace(); } if (buflen <= 0) { return false; } } return true; } private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1; } private boolean isPrintableChar(int c) { return 33 <= c && c <= 126; } private void skipUnprintable() { while (hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; } public boolean hasNext() { skipUnprintable(); return hasNextByte(); } public String next() { if (!hasNext()) throw new NoSuchElementException(); StringBuilder sb = new StringBuilder(); int b = readByte(); while (isPrintableChar(b)) { sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } public long nextLong() { if (!hasNext()) throw new NoSuchElementException(); long n = 0; boolean minus = false; int b = readByte(); if (b == '-') { minus = true; b = readByte(); } if (b < '0' || '9' < b) { throw new NumberFormatException(); } while (true) { if ('0' <= b && b <= '9') { n *= 10; n += b - '0'; } else if (b == -1 || !isPrintableChar(b)) { return minus ? -n : n; } else { throw new NumberFormatException(); } b = readByte(); } } public int nextInt() { return (int) nextLong(); } } static void tr(Object... objects) { System.out.println(Arrays.deepToString(objects)); } }