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#include <fstream>
#define dim 1000005
using namespace std;
ifstream fin("divprim.in");
ofstream fout("divprim.out");
int n,i,j,d[8][dim],v[dim],nr,k,t;
int main(){
fin>>t;
for(i=2;i<=dim;i++){
if(v[i]==0){
for(j=i;j<=dim;j+=i){
v[j]++;
}
}
}
for(i=1;i<=7;i++){
for(j=2;j<=dim;j++){
if(v[j]==i){
d[i][j]=j;
}
else{
d[i][j]=d[i][j-1];
}
}
}
while(t--){
fin>>nr>>k;
fout<<d[k][nr]<<"\n";
}
return 0;
}