Difference between revisions of "2024 AIME I Problems/Problem 2"
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| − | + | Determine all composite integers <math>n>1</math> that satisfy the following property: if <math>d_1,d_2,\dots,d_k</math> are all the positive divisors of <math>n</math> with <math>1=d_1<d_2<\dots<d_k=n</math>, then <math>d_i</math> divides <math>d_{i+1}+d_{i+2}</math> for every <math>1\le i \le k-2</math>. | |
Revision as of 11:19, 1 February 2024
Determine all composite integers 
that satisfy the following property: if 
are all the positive divisors of 
with 
, then 
divides 
for every 
.
