#include <cstdio>

using namespace std;
int c[100005];
int a[8][1000005];
int main()
{
    freopen ("divprim.in","r",stdin);
    freopen ("divprim.out","w",stdout);
    int t,n,k,i,j,x;
    scanf ("%d",&t);
    for (i=2;i<=1000000;i+=2)
        c[i]=1;
    for (i=3;i<=1000000;i+=2)
        if (c[i]==0)
            for (j=i;j<=1000000;j+=i)
                c[j]++;
    for (i=1;i<=7;i++)
    {
        x=0;
        for (j=1;j<=1000000;j++)
            if (c[j]==i)
                x=a[i][j]=j;
            else a[i][j]=x;
    }
    for (i=1;i<=t;i++)
    {
        scanf ("%d%d",&n,&k);
        if (k==0)
            printf ("1\n");
        else printf ("%d\n", a[k][n]);
    }
    return 0;
}