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#include <iostream>
#include <vector>
#include <algorithm>

using namespace std;

void solve() {
    int n;
    cin >> n;
    vector<int> arr(n);
    for (int &el : arr)
        cin >> el;
    sort(arr.begin(), arr.end());
    for (int i = n - 1; i >= 0; i--) {
        if (arr[i] <= i + 1) {
            cout << i + 2 << '\n';
            return;
        }
    }
    cout << 1 << '\n';
}

int main() {
    int t;
    cin >> t;
    while (t--)
        solve();
}