One of the problems here is that the definition of "prodigy" has been distorted. Whenever I hear that in the UK media, it's about an 8 year old who got an A* in GCSE Mathematics or a 17 year old who got 100% in 10 A Levels. The problem is that neither of these are any insurance that you'll actually do well in the real world. For instance, if we're talking about science, there's no way exams can in any way quantify how good a scientist you'll actually be. Another important point about science is that the day of the lone scientist is long gone. Science is now so group based, it's virtually impossible for there to be another Einstein or another Newton.
Another type of "prodigy" are people with exceptional unique skills like human calculators but again, these skills really aren't that applicable in the real world. You do still get the occasional child genius who turns into an adult genius but it doesn't seem to be that common.