#include <fstream>
#define NX 1000002
#define FX 1000000
using namespace std;
ifstream f("divprim.in");
ofstream g("divprim.out");
int m[NX][8],prim[NX],i,j,n,a,b;
int main()
{
for (i=2;i<=FX;m[i][prim[i]]=i,++i)
{
    if (!prim[i])
        for (j=i;j<=FX;++prim[j],j+=i);
    for (j=1;j<=7;m[i][j]=m[i-1][j],++j);
}
    f>>n;
    while (n--)
    f>>a>>b,g<<m[a][b]<<'\n';
    return 0;
}