Restricted images only for logged user. (hidden url)

Im looking for way to create page where only logged in user can see images, but images cant be index by browser, cant be accessed by not logged in user. Simply, if logged in user copy image link, and not logged in user try see it, he should see 404 or some other redirect, logged in user should be able to see this image. (Link should not expire). And Image can be downloaded ofc. :)

And it is way to prevent wordpress to index images? (They should be privated, and cant be access by any sinply url like www.site.com/wp-content/media/image.jpg etc ;)