To add on to your “with telescope” numbers, the number you can see with the naked eye is surprisingly small. If you are out on a clear night, you can pretty much only see stars within the milky way, and even then you’re talking the ballpark of 5000. If you’re naming them and counting them on all sides of the earth (not just those visible from your one location) you can double that if you have great eyes.
To add on to your “with telescope” numbers, the number you can see with the naked eye is surprisingly small. If you are out on a clear night, you can pretty much only see stars within the milky way, and even then you’re talking the ballpark of 5000. If you’re naming them and counting them on all sides of the earth (not just those visible from your one location) you can double that if you have great eyes.