#include "bits/stdc++.h" using namespace std; #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) static const int INF = 0x3f3f3f3f; static const long long INFL = 0x3f3f3f3f3f3f3f3fLL; typedef vector vi; typedef pair pii; typedef vector > vpii; typedef long long ll; template static void amin(T &x, U y) { if (y < x) x = y; } template static void amax(T &x, U y) { if (x < y) x = y; } vector primes; vector smallestPrimeFactor; void linearSieve(int n) { if (n < 1) n = 1; if ((int)smallestPrimeFactor.size() >= n + 1) return; int primePiBound = n < 20 ? n - 1 : (int)(n / (log(n * 1.) - 2) + 2); primes.assign(primePiBound + 1, numeric_limits::max()); int P = 0; smallestPrimeFactor.assign(n + 1, 0); smallestPrimeFactor[1] = 1; int n2 = n / 2, n3 = n / 3, n5 = n / 5; if (n >= 2) primes[P ++] = 2; if (n >= 3) primes[P ++] = 3; for (int q = 2; q <= n; q += 2) smallestPrimeFactor[q] = 2; for (int q = 3; q <= n; q += 6) smallestPrimeFactor[q] = 3; for (int q = 5; q <= n5; q += 2) { if (smallestPrimeFactor[q] == 0) primes[P ++] = smallestPrimeFactor[q] = q; int bound = smallestPrimeFactor[q]; for (int i = 2; ; ++ i) { int p = primes[i]; if (p > bound) break; int pq = p * q; if (pq > n) break; smallestPrimeFactor[pq] = p; } } for (int q = (n5 + 1) | 1; q <= n; q += 2) { if (smallestPrimeFactor[q] == 0) primes[P ++] = smallestPrimeFactor[q] = q; } primes.resize(P); } inline long long mulmodll(long long a, long long b, long long m) { long long quot = (long long)((long double)a * b / m + 0.5); long long res = a * b - m * quot; res = a * b - m * quot; if (res < 0) res += m; return res; } long long powmodll(long long a, unsigned long long k, const long long MOD) { a %= MOD; long long r = MOD == 1 ? 0 : 1; while (k) { if (k & 1) r = mulmodll(r, a, MOD); a = mulmodll(a, a, MOD); k >>= 1; } return r; } bool suspect(ll a, int s, ll d, ll n) { auto x = powmodll(a, d, n); if (x == 1) return true; for (int r = 0; r < s; ++r) { if (x == n - 1) return true; x = mulmodll(x, x, n); } return false; } bool isPrime(ll n) { if (n <= 1 || (n > 2 && (n & 1) == 0)) return false; if (n < (ll)smallestPrimeFactor.size()) return smallestPrimeFactor[(size_t)n] == n; const int test[] = { 2,3,5,7,11,13,17,19,23,-1 }; auto d = n - 1; int 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; } int sqrti(long long x) { int s = (int)sqrt(x * 1.L); long long sqs = (long long)s * s; if (sqs > x) { do -- s; while ((long long)s * s > x); } else { while (sqs <= x - (2 * s + 1)) { sqs += 2 * s + 1; ++ s; } } return s; } vector remainingPrimePowers; bool isPrimePower(ll n) { if (n <= 0) return false; if ((n & (n - 1)) == 0) return true; if (isPrime(n)) return true; int sqrtn = sqrti(n); if ((ll)sqrtn * sqrtn == n && isPrime(sqrtn)) return true; if (remainingPrimePowers.empty()) { linearSieve(1000000); for (int p : primes) { if (p > (int)1e6) break; ll lim = (ll)1e18 / p; for (ll q = (ll)p * p * p; ; q *= p) { remainingPrimePowers.push_back(q); if (q > lim) break; } } sort(remainingPrimePowers.begin(), remainingPrimePowers.end()); } return binary_search(remainingPrimePowers.begin(), remainingPrimePowers.end(), n); } int main() { int T; scanf("%d", &T); for (int ii = 0; ii < T; ++ ii) { long long N; scanf("%lld", &N); bool ans; if (N <= 2) { ans = false; } else if (N % 2 == 0) { ans = true; } else { ans = false; for (ll x = 2; x < N - 1; x *= 2) { ans |= isPrimePower(N - x); } } puts(ans ? "Yes" : "No"); } return 0; }