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The Goldbach conjecture, which states that every even number greater than 2 can be written as the sum of two prime numbers.
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The Goldbach conjecture is a famous unsolved problem in number theory. It suggests that any even number greater than 2 can be expressed as the sum of two prime numbers. Although this conjecture has been tested extensively for even numbers up to very large values, a general proof or counterexample has not yet been found. Many mathematicians have made progress in understanding specific cases and related problems, but the conjecture remains open.