#include <bits/stdc++.h>
using namespace std;
int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  int t;
  cin >> t;
  while (t--) {
    int n;
    cin >> n;
    int a[n];
    for (int i = 0; i < n; i++) cin >> a[i];
    sort(a, a + n);
    int count = 1;
    for (int i = n - 1; i >= 0; i--) {
      if (a[i] <= i + 1) {
        count = i + 2;
        break;
      }
    }
    cout << count << "\n";
  }
}
