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#include <bits/stdc++.h>
const int NMAX=1000001;
using namespace std;
int ce[NMAX];
int divs[NMAX][8];
int main()
{
ifstream f("divprim.in");
ofstream g("divprim.out");
for(int i=2; i<=NMAX; ++i)
if(ce[i]==0){
++ce[i];
for(int k=i+i; k<=NMAX; k+=i)
++ce[k];}
for(int i=2; i<=NMAX; ++i)
for(int j=1; j<=7; ++j)
if(ce[i]==j) divs[i][j]=i;
else divs[i][j]=divs[i-1][j];
int t=0, n=0, k=0;
f>>t;
for(int i=0; i<t; ++i)
{
f>>n>>k;
g<<divs[n][k]<<endl;
}
return 0;
}