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... remarkable counting abilities, such as Shakuntala Devi: she was able to multiply two 13 digit numbers in 28 seconds in 1980
... intuitive understanding, such as Srinivasa Ramanujan: he wrote down nearly 3.900 new results (theorems, identities and equations)
... insight into abstract structures, such as Alexander Grothendiek: he worked on a rebuilding of algebraic geometry