```(***********************************************************************)
(*                                                                     *)
(*  OCaml library from the book ``Apprendre à programmer avec OCaml''  *)
(*                                                                     *)
(*  Sylvain Conchon and Jean-Christophe Filliâtre                      *)
(*  Université Paris Sud                                               *)
(*                                                                     *)
(*  file is distributed under the terms of the GNU Library General     *)
(*  Public License, with the same special exception on linking as the  *)
(*  OCaml library. See http://caml.inria.fr/ocaml/license.fr.html      *)
(*                                                                     *)
(***********************************************************************)

(* Programme 5 page 37
Crible d'Ératosthène *)

let prime = Array.make (max + 1) true

let () =
prime.(0) <- false;
prime.(1) <- false;
let limit = truncate (sqrt (float max)) in
for n = 2 to limit do
if prime.(n) then begin
let m = ref (n * n) in
while !m <= max do
prime.(!m) <- false;
m := !m + n
done
end
done

let () =
for n = 2 to max do
if prime.(n) then Printf.printf "%d\n" n
done
```

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