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#include<stdio.h>
#define ELFMAX 1000000 + 1
int c[ELFMAX],din[8][ELFMAX];
inline void ciuruit()
{
int i,j;
for(i=2;i<ELFMAX;i++)
if(!c[i])
{
for(j=(i<<1);j<ELFMAX;j+=i)
c[j]++;
c[i]++;
}
} //s-a gandit cineva sa pregenereze ciuru?
int main()
{
int i,j,t,val1,val2;
freopen("divprim.in","r",stdin);
freopen("divprim.out","w",stdout);
ciuruit();
for(i=1;i<ELFMAX;i++)
din[0][i]=1;
for(i=1;i<=7;i++)
for(j=1;j<ELFMAX;j++)
{
if(c[j]==i)
din[i][j]=j;
else
din[i][j]=din[i][j-1];
}
scanf("%d",&t);
for(i=1;i<=t;i++)
{
scanf("%d%d",&val2,&val1);
printf("%d\n",din[val1][val2]);
}
return 0;
}