#include <fstream>

using namespace std;
int n, k, i, j, x, y, a[10][50003], v[1000003];
int main()
{
    ifstream fin("divprim.in");
    ofstream fout("divprim.out");
    fin>>n;
    for(i=2;i<=50000;i++){
        if(v[i]==0){
            for(j=i;j<=1000000;j+=i)
                v[j]++;
        }
    }
    for(i=1;i<=7;i++)
        for(j=2;j<=50000;j++){
            if(v[j]==i)
                a[i][j]=j;
            else
                a[i][j]=a[i][j-1];
        }
    for(i=1;i<=n;i++){
        fin>>x>>y;
        fout<<a[y][x]<<"\n";
    }
    return 0;
}