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Cod sursa(job #366302)
type vector=array[0..7] of longint;
function prim(a:integer):boolean;
var d:integer;
begin
while a mod 2=0 do a:=a div 2;
d:=3;
while (d*d<a)and(a mod d<>0) do inc(d,2);
prim:=d*d>a;
end;
function zii(a,k:longint):integer;
var d,i:integer;
begin
i:=0;
if a mod 2=0 then inc(i);
d:=3;
while (d<=a div 2)and(i<=k) do
begin
if a mod d=0 then begin if prim(d) then begin inc(i); inc(d,2);
end
else inc(d,2);
end
else inc(d,2);
end;
zii:=i
end;
var k,n,t:longint;
i,j,m,l:longint;
v:vector;
okl,okn:boolean;
begin
v[0]:=1;v[1]:=2;v[2]:=6;v[3]:=30;v[4]:=210;v[5]:=2310;v[6]:=30030;v[7]:=510510;
assign(input,'divprim.in');reset(input);
assign(output,'divprim.out');rewrite(output);
readln(t);
for j:=1 to t do begin
readln(n,k);
okn:=false;okl:=false;
if v[k]=n then writeln(n)
else
if n>v[k] then begin m:=(v[k]+n)div 2; l:=v[k]+1;
while (not okn)and(n>=m) do
if zii(n,k)=k then okn:=true else dec(n);
while (not okl)and(l<=m) do
if zii(l,k)=k then okl:=true else inc(l);
if okn then writeln(n)
else if okl then writeln(l)
else writeln(v[k]);
end
else writeln(0);
end;
close(input);close(output);
end.