#include<bits/stdc++.h>
#define mod 998244353
#define modc 1000000007
     
const long double PI = 3.141592653589793236L;
     
typedef long long int ll;
typedef long double ld;
     
using namespace std;

ll fast_power(ll a, ll b, ll m)//a^b
{
    if(b==0) return 1;
    if(b==1) return a;

    ll temp=fast_power(a,b/2,m);

    if(b%2==0) return (temp*temp)%m;
    return ((temp*temp)%m*a)%m;
}

ll gcd(ll a, ll b)
{
    if (b == 0) return a;
    return gcd(b, a % b); 
}

ll lcm(ll a,ll b)
{
    return (a*b)/gcd(a,b);
}

ll sum_of_digits(ll n)
{
    ll sum=0;
    while(n>0)
    {
        sum+=n%10;
        n/=10;
    }
    return sum;
}

void solve()
{
    //check t
    ll n;
    cin>>n;
    if(n<2020) cout<<"NO\n";
    else if(n%2020==0 or n%2021==0) cout<<"YES\n";
    else
    {
        while(n>2020)
        {
            n-=2020;
            if(n%2021==0) 
            {
                cout<<"YES\n";
                return;
            }
        }
        cout<<"NO\n";
    }
}
     
int main()
{   
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    
    ll t;
    t=1;
    cin>>t;
    while(t--)
    {   
        solve();
    }
    return 0;
}