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Grimm's conjecture : ウィキペディア英語版 | Grimm's conjecture In mathematics, and in particular number theory, Grimm's conjecture (named after Carl Albert Grimm) states that to each element of a set of consecutive composite numbers one can assign a distinct prime that divides it. It was first published in ''American Mathematical Monthly'', 76(1969) 1126-1128. ==Formal statement==
Suppose ''n'' + 1, ''n'' + 2, …, ''n'' + ''k'' are all composite numbers, then there are ''k'' distinct primes ''p''''i'' such that ''p''''i'' divides ''n'' + ''i'' for 1 ≤ ''i'' ≤ ''k''.
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