A distinction I read somewhere, that I think is useful, is that people tend to be either primarily conceptualist in their thinking, or they are empiricists who learn from experience. Conceptualists have their big breakthroughs before the age of 35, and empiricists have their big breakthroughs after 35. In conceptual fields, such as math and physics, the big breakthroughs happen young. Werner Heisenberg was 27 when he…
However it took another 11 years until he was able to grasp enough of the mathematics to finally formulate the General Theory of Relativity in 1916, at age 37. Of course, if you're going to use statistics from Nobel Prize winners' works, you have to keep in mind that Einstein won not for the General Theory nor the Special Theory of relativity with which we usually associate him. He won for his paper on the photoelectric effect, one of the other papers he published in 1905...at age 26.
Edit: It's probably also worth pointing out that, someday in the future, it's not inconceivable that we may eventually place the Einstein-Podolsky-Rosen Paradox in the same league as Relativity. That paper was published in 1935, when Einstein was already 56 years old. If it is not currently considered of the same merit as Relativity, that is only because we still don't have a good handle on the full implications of that work. (And, yes, I realize that ultimately EPR will likely prove to be wrong, but a great scientist teaches as much by being wrong as by being right.)