#include <bits/stdc++.h>
using namespace std;
int main() {
  int t;
  cin >> t;
  while (t--) {
    int n, ans = 0, sum = 0, sum2 = 0;
    cin >> n;
    int a[n + 1];
    a[0] = 0;
    for (int i = 1; i <= n; i++) cin >> a[i];
    sort(a, a + (n + 1));
    for (int i = 1; i <= n; i++) {
      sum = (sum, a[i]);
      sum2++;
      if ((ans + sum2) >= sum) {
        ans += sum2;
        sum2 = 0;
      }
    }
    cout << ans + 1 << endl;
  }
}
