When I log on and see a number in the upper left on my screen, I immediately think that someone has answered one of my questions or commented on something else I posted. Most of the time, it just turns out to be a generic site notification telling me that one of my questions got a lot of views, that it's a "nice question", or that I've earned a badge.
I don't care about these notifications.
Is there already a way to completely ignore these? I don't even want to know about them. All I want to know about are answers to my questions or when someone comments on my questions, answers, or other comments. If such a feature does not exist, can it be considered?
Edit
Some are saying that these notifications show in a different color. This is not the case. When I have a mix/match of any combination of notifications, this is what I see:
The only time this is ever a different color is when I am on an entirely different SE site (gaming, DIY, overflow, super user, etc). Within the same site, though, I never see different colored numbers indicating that I have 2 responses to an answer I posted, 1 badge notification, and 1 notification telling me my question is nice.