#include<bits/stdc++.h>
using namespace std;
using ll = long long;

int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false); 
    
    const int mx = 1e7;

    vector<bool> isp(mx+1,0);
    vector<int> cnt(mx+1,1);
    vector<int> now(mx+1,0);
    vector<ll> ans(mx+1,0);
    vector<int> all(mx+1,0);
    ans[2] = 1;
    for(int i = 2;i<=mx;i++){
        if(isp[i]==0){
            for(int j = i;j<=mx;j+=i){
                isp[j] = 1;
                ll use = i * i;
                if(j%use!=0) cnt[j] *= -1;
                else cnt[j] *= 0;
            }
        }
        if(cnt[i]==0) continue;
        for(int j = i;j<=mx;j+=i){
            ll res = j / i;
            now[j] += res * cnt[i];
        }
    }
    for(int j = 3;j<=mx;j++){
        now[j] += j;
        ans[j] = ans[j-1];
        ans[j] += now[j];
        now[j] = j - 1 - now[j];
        ans[j] += 2 * now[j];
    }
    int t;
    cin>>t;
    while(t--){
        int n;
        cin>>n;
        cout<<ans[n]<<endl;
    }
}