#include <bits/stdc++.h>
using namespace std;
int main() {
  int N;
  cin >> N;
  int grandN;
  vector<int> result;
  for (int i = 0; i < N; i++) {
    vector<int> grandmas;
    int temp;
    int res = 1;
    cin >> grandN;
    for (int j = 0; j < grandN; j++) {
      cin >> temp;
      grandmas.push_back(temp);
    }
    sort(grandmas.begin(), grandmas.end());
    for (int j = 0; j < grandN; j++) {
      if (grandmas.at(j) <= j + 1) {
        res = j + 2;
      }
    }
    result.push_back(res);
  }
  for (auto i : result) {
    cout << i << endl;
  }
  return 0;
}
