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Let $g(n)$ denote the largest $t$ such that there exist integers $2\leq a_1<a_2<\cdots <a_t <n$ such that \[P(a_1)>P(a_2)>\cdots >P(a_t)\] where $P(m)$ is the greatest prime factor of $m$. Estimate $g(n)$.
#648
:
[Er95c]
number theory
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