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Goldbach's conjecture is a famous unsolved problem in number theory, proposed by the Prussian mathematician Christian Goldbach in 1742. The conjecture posits that every even integer greater than two can be expressed as the sum of two prime numbers. For example, the number 4 can be expressed as \(2 + 2\), 6 can be expressed as \(3 + 3\), and 8 can be expressed as \(3 + 5\).