Y by ImSh95, p_ben, PikaPika999, ehuseyinyigit, cubres
Determine the greatest positive integer
for which there exists a sequence of distinct positive integers
,
,
,
satisfying ![\[s_1^{s_2}=s_2^{s_3}=\cdots=s_{n-1}^{s_n}.\]](//latex.artofproblemsolving.com/a/f/5/af594ff07aa2f89cb70ae669263558049556cf0e.png)
Proposed by Holden Mui





![\[s_1^{s_2}=s_2^{s_3}=\cdots=s_{n-1}^{s_n}.\]](http://latex.artofproblemsolving.com/a/f/5/af594ff07aa2f89cb70ae669263558049556cf0e.png)
Proposed by Holden Mui
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