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Erdős problem 677

Denote by M(n,k)M(n, k) the least common multiple of the finite set {n+1,,n+k}\{n+1, \dotsc, n+k\}. Is it true that for all mn+km \geq n + k, we get M(m,k)M(n,k)M(m, k) \neq M(n, k)?

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