#include <bits/stdc++.h>
#include <atcoder/all>
// url 
#define rep(i,a,b) for(int i=a;i<b;i++)
#define rrep(i,a,b) for(int i=b-1;i>=a;i--)
#define all(x) (x).begin(),(x).end()
#define pb(x) push_back(x);
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a = b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a = b; return 1; } return 0; }
typedef long long ll;
typedef long double lld;
using namespace std;
using namespace atcoder;
using mint = static_modint<998244353>;
// using mint = static_modint<1000000007>;
const ll mod=998244353;
//const ll mod=1e9+7;
int dx[4]={1,0,-1,0};
int dy[4]={0,1,0,-1};
const string zton="0123456789";
const string atoz="abcdefghijklmnopqrstuvwxyz";
const string ATOZ="ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const ll inf=(1ll<<60);
// const int inf=(1<<30);
lld dist(lld x1,lld x2,lld y1,lld y2){
    lld res=(x1-x2)*(x1-x2)+(y1-y2)*(y1-y2);
    res=sqrt(abs(res));
    return res;
}
lld arg(lld x,lld y){
    const lld eps=1e-8;
    lld res=0;
    if(abs(x)+abs(y)<=eps)return 0.0;
    else if(abs(x)<=eps){
        if(y>=0.0)return (M_PI/2);
        else return (M_PI/2+M_PI);
    }
    else if(abs(y)<=eps){
        if(x>=0.0)return 0.0;
        else return M_PI;
    }
    res=atan2(abs(y),abs(x));
    if(x<=0&&y>=0)res=(M_PI-res);
    else if(x<=0&&y<=0)res+=(M_PI);
    else if(x>=0&&y<=0)res=(M_PI*2-res);
    return res;
}
ll gcd(ll a,ll b){
    if(a==0||b==0)return a+b;
    ll r;
    r=a%b;
    if(r==0){
        return b;
    }
    else{
        return gcd(b,r);
    }
}
typedef pair<ll,int> P;

const int eratosSize=10101010;
int eratos[eratosSize];

int main(void){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    rep(i,0,eratosSize)eratos[i]=-1;
    eratos[0]=1;
    eratos[1]=1;
    rep(i,2,eratosSize){
        if(eratos[i]!=-1)continue;
        eratos[i]=i;
        int x=i*2;
        while(x<eratosSize){
            if(eratos[x]==-1){
                eratos[x]=i;
            }
            x+=i;
        }
    }
    ll cnt1[eratosSize];
    fill(cnt1,cnt1+eratosSize,0);
    ll cnt2[eratosSize];
    fill(cnt2,cnt2+eratosSize,0);
    ll ans[eratosSize];
    fill(ans,ans+eratosSize,0);
    rep(i,2,eratosSize){
        map<int,int> mp;
        int x=i;
        while(x!=1){
            mp[eratos[x]]++;
            x/=eratos[x];
        }
        cnt2[i]=1;
        for(auto p:mp){
            cnt2[i]*=(p.first-1);
            rep(j,0,p.second-1){
                cnt2[i]*=p.first;
            }
        }
        cnt1[i]=i-1;
        cnt1[i]-=cnt2[i];
        ans[i]=cnt1[i]*2+cnt2[i];
        ans[i]+=ans[i-1];
        // cout << i << " " << cnt1[i] << " " << cnt2[i] << endl;
        // cout << ans[i] << endl;
    }

    // rep(i,2,eratosSize){
    //     ans[i]=ans[i-1]+cnt1[i]*2+cnt2[i];
    // }
    // rep(i,0,eratosSize){
    //     cout<<i<<" "<<cnt1[i]<<" "<<cnt2[i]<<endl;
    // }
    int t;
    cin>>t;
    vector<ll> an;
    rep(i,0,t){
        ll n;
        cin>>n;
        an.pb(ans[n]);
    }
    rep(i,0,t){
        cout<<an[i]<<endl;
    }
}