unit Fermat;

interface

uses
  Winapi.Windows, Winapi.Messages, System.SysUtils, System.Variants, System.Classes, Vcl.Graphics,
  Vcl.Controls, Vcl.Forms, Vcl.Dialogs, Math, Vcl.StdCtrls;

type
  TForm1 = class(TForm)
    Button1: TButton;
    Edit1: TEdit;
    Edit2: TEdit;
    ListBox1: TListBox;
    Button2: TButton;
    Label1: TLabel;
    Label2: TLabel;
    Label3: TLabel;
    procedure Button1Click(Sender: TObject);
    procedure Button2Click(Sender: TObject);
  private
    { Private declarations }
  public
    { Public declarations }
  end;

var
  Form1: TForm1;
  i, n: Integer;
  r, a, b: Extended;
implementation

{$R *.dfm}

procedure TForm1.Button1Click(Sender: TObject);
begin
  a := StrToFloat(Edit1.Text);
  b := StrToFloat(Edit2.Text);
  n := 0;
  if a>b then ShowMessage('Zły przedział');
  for i:= 1 to Trunc(b) do
  begin
    r := Power(2, Power(2, n)) + 1;
    if (r>=a) and (r<=b) then ListBox1.Items.Add(FloatToStr(r));
    Inc(n);
  end;
end;


procedure TForm1.Button2Click(Sender: TObject);
begin
ListBox1.Items.Clear;
end;

end.