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Omni-MATH / Find all integers n≥3 such that the following property holds: if we list the divisors of n! in increasing order as 1=d₁<d₂<…<d_(k)=n!, then we have d₂−d₁≤d₃−d₂≤…≤d_(k)−d_(k−1). · Discussion

Discussing Find all integers n≥3 such that the following property holds: if we list the divisors of n! in increasing order as 1=d₁<d₂<…<d_(k)=n!, then we have d₂−d₁≤d₃−d₂≤…≤d_(k)−d_(k−1). · Omni-MATH

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