Question 32
Let $a$, $b$, $c$, $d$ be distinct positive integers such that $a^b$ divides $b^c$, $b^c$ divides $c^d$ and $c^d$ divides $d^a$.
a) Is it possible to determine which is the least one of the numbers $a$, $b$, $c$, $d$?
b) Is it possible to determine which is the greatest one of the numbers $a$, $b$, $c$, $d$?
a) Is it possible to determine which is the least one of the numbers $a$, $b$, $c$, $d$?
b) Is it possible to determine which is the greatest one of the numbers $a$, $b$, $c$, $d$?