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Grimm's conjecture

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Grimm's conjecture is a mathematical hypothesis in number theory concerning prime numbers. It specifically deals with the distribution of prime gaps and the existence of infinitely many prime pairs. Proposed by mathematician Ronald Graham, it asserts that for every integer \( n \), there are infinitely many pairs of prime numbers \( (p, p + n) \) such that both \( p \) and \( p + n \) are prime.

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