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18 changes: 18 additions & 0 deletions archive/o/ocaml/prime-number.ml
Original file line number Diff line number Diff line change
@@ -0,0 +1,18 @@
let has_odd_divisor_under_sqrt n =
let rec aux k = k <= n / k && (n mod k = 0 || aux (k + 2)) in
aux 3 (* Assumes n > 3. All other cases will be caught elsewhere *)

let prime = function
| 0 | 1 -> false
| 2 | 3 -> true
| n when n mod 2 = 0 -> false
| n -> not (has_odd_divisor_under_sqrt n)

let parse_args argv =
match argv with [| _; n |] -> int_of_string_opt n | _ -> None

let () =
print_endline
(match parse_args Sys.argv with
| Some num when num >= 0 -> if prime num then "Prime" else "Composite"
| _ -> "Usage: please input a non-negative integer")
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