Managing personal Outlook.com account settings, security, and privacy
Authenticator has nothing to do with them trying. It just means that even if they crack your password you would get a warning which you would not click on of course because it isn't you (and which would lead you to secure your account and change the password)
You must MUST continue to use Authenticator or some other 2nd level check whatever you do.
Go to your settings and set up an alias account with a different personal name for example ******@outlook.com or whatever hasn't been taken by someone else, then change your mail login to that alias and in the corner of that settings pane is a link which allows you to choose which of your addresses is allowed to sign in. Disable all but your new alias. Then when they try to log in with your old address they will not be able to and you won't see any more attempts.