Freeman Dyson was a brilliant drop out mathematician who happened to meet Richard Feynman and demonstrated a proof for Feynman's work (which led him to winning a Nobel). He says,
"I think it's almost true without exception if you want to win a Nobel Prize, you should have a long attention span, get hold of some deep and important problem and stay with it for ten years. That wasn't my style."
Here's a list of Dyson's awards: Heineman Prize (1965), Lorentz Medal (1966), Hughes Medal (1968), Harvey Prize (1977), Wolf Prize (1981), Andrew Gemant Award (1988), Matteucci Medal (1989), Oersted Medal (1991), Fermi Award (1993), Templeton Prize (2000), Pomeranchuk Prize (2003), Poincaré Prize (2012).