In psychology research literature, the term child prodigy is defined as a person under the age of ten who produces meaningful output in some domain to the level of an adult expert performer. Child prodigies are rare; and, in some domains, there are no child prodigies at all. Prodigiousness in childhood does not always predict adult eminence.
Examples of particularly extreme prodigies could include Wolfgang Amadeus Mozart, Felix Mendelssohn, Evgeny Kissin and Teresa Milanollo in music; Bobby Fischer, Samuel Reshevsky, Judit Polgár, Magnus Carlsen, Sergey Karjakin, Paul Morphy and José Capablanca in chess; Carl Friedrich Gauss, Shakuntala Devi, Srinivasa Ramanujan, John von Neumann and Terence Tao in mathematics; Pablo Picasso and Wang Ximeng in art; Saul Kripke in philosophy; and Blaise Pascal in science. French composer Camille Saint-Saëns has been recognized by musical historians as one of the greatest musical child prodigies, but his mother was cautious, and didnt seek to exploit her sons skills, fearing it would cause him emotional trouble. (source : wikipedia