Cant remember exactly its a while ago, I do remember looking at my first IOS game
https://itunes.apple.com/us/app/vampire-balls/id519606069?mt=8
and definietly noticing the pixels, yes its harder when its moving but sometimes it makes them even stand out more eg a polygon moving over a high contrast background, the aliasing is very noticable. (30cm) true at 300dpi its way less apparent than 150dpi but its still there, I dont know what dpi you would need for it to disappear 600dpi perhaps?
If you look from a distance of one foot (12 inches), you can divide 11459 by 12, which is ~955 DPI. Of course, this would be pretty overkill (e.g. in theory you don't really need edge anti-aliasing at this resolution). In practice, it's better to do proper edge anti-aliasing with a good enough resolution, and focus on other factors such as color reproduction, contrast, etc.