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2024 AIME I Problems/Problem 2

Revision as of 11:19, 1 February 2024 by Tem8 (talk | contribs)

Determine all composite integers $n>1$ that satisfy the following property: if $d_1,d_2,\dots,d_k$ are all the positive divisors of $n$ with $1=d_1<d_2<\dots<d_k=n$, then $d_i$ divides $d_{i+1}+d_{i+2}$ for every $1\le i \le k-2$.

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