#include<stdio.h>
#define LMAX 1000005

long div[LMAX+1],k;  long t,n,i,j,sol[LMAX+1][9];

void generare()
{for(i=2;i<=100000;i++)
 if(div[i]==0)
 for(j=i;j<=LMAX;j+=i) div[j]++;

 for(i=1;i<=7;i++)
 for(j=2;j<=LMAX;j++)
 if(div[j]==i) sol[j][i]=j;
 else sol[j][i]=sol[j-1][i];

 for(j=1;j<=LMAX;j++) sol[j][0]=1;
}

main()
{freopen("divprim.in","r",stdin);
 freopen("divprim.out","w",stdout);

 generare();

 scanf("%ld",&t);
 for(i=1;i<=t;i++)
 {scanf("%ld %d",&n,&k);
  printf("%ld\n",sol[n][k]);}
}