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Prove that every even integer greater than 2 can be expressed as the sum of two prime numbers.
Prove that every even integer greater than 2 can be expressed as the sum of two prime numbers.
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This statement is known as Goldbach's conjecture. While it has not yet been proven, it has been tested extensively for even integers up to very large values and has held true in every case. The conjecture remains an unsolved problem in number theory, and proving or disproving it is still an open question in mathematics.
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