#include <fstream>
using namespace std;
#define nmax 1000000
ifstream fin("divprim.in");
ofstream fout("divprim.out");
int a[8][nmax+5], c[nmax+5];
void buildMat()
{
    int i, j;
    for(i=2; i<=nmax; i++)
        if(!c[i])
            for(j=i; j<=nmax; j+=i)
                c[j]++;
    for(i=0; i<=7; i++)
        for(j=2; j<=nmax; j++)
            if(c[j]==i)
                a[i][j]=j;
            else a[i][j]=a[i][j-1];
}
int main()
{
    int t, n, k;
    buildMat();
    fin>>t;
    while(t)
    {
        t--;
        fin>>n>>k;
        fout<<a[k][n]<<'\n';
    }
    fin.close();
    fout.close();
    return 0;
}