When you use Lotto Sorcerer's Apprentice's menu item "File > Registration > Enter Registration Code"...

...the Enter Registration Code window should open. At this point, you should enter your name and registration code exactly as we provided it in our email to you. Then click the OK button:

At this point, a window should open, advising you that Lotto Sorcerer's Apprentice needs access to the Internet to authenticate your registration. Click the OK button:

What happens when you click the "OK" button?
Click on the result you are experiencing.