#include <bits/stdc++.h>

using namespace std;

#define IOS ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define int long long int
#define pb push_back
#define ff first
#define ss second
const int mod = 1e9 + 7;
const int n = 100002;

signed main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);


    vector<int> sp(n,0), nod(n,1);
    for(int i = 0; i < n; i++){
        sp[i] = i;
    }
    for(int i = 2; i < n; i++){
        if(sp[i] == i){
            for(int j = i*i; j < n; j+=i){
                if(sp[j] == j){
                    sp[j] = i;
                }
            }
        }
    }

    for(int i = 2; i < n; i++){
        int d = 1;
        int num = i;
        while(num != 1){
            int cnt = 0;
            int x = sp[num];
            while(num%x == 0){
                cnt++;
                num/=x;
            }
            d*=(cnt+1);
        }
        nod[i] = d;
    }
    nod[0] = 0;
    for(int i = 1; i < n; i++){
        nod[i]+=nod[i-1];
    }


    int q;
    cin>>q;
    while(q--){

        int l,r;
        cin>>l>>r;
        //cout<<1<<endl;
        cout<<nod[r]-nod[l-1]<<endl;
        //cout<<2<<endl;
    }
    return 0;
}