#include<cstdio>
int div[1000001],mat[8][1000001];
int ciurdiv()
{
    int i,j;
    for(i=2;i<=1000000;i++)
        {
        if (!div[i])
            {
            for(j=i+i;j<=1000000;j=j+i)
                 div[j]++;
            div[i]=1;
            }
        }
}
int main()
{
    freopen("divprim.in","r",stdin);
    freopen("divprim.out","w",stdout);
    int i,j,t,n,k;
    ciurdiv();
    for(i=0;i<=1000000;i++)
        mat[0][i]=1;
    for(i=1;i<=7;i++)
        {
        for(j=1;j<=1000000;j++)
            if (div[j]==i)
                mat[i][j]=j;
            else
                mat[i][j]=mat[i][j-1];
        }
    scanf("%d",&t);
    for(i=1;i<=t;i++)
        {
        scanf("%d%d",&n,&k);
        printf("%d\n",mat[k][n]);
        }
return 0;
}