Question 127
Let $n$ be an arbitrary natural number. Show that there exists a natural number $m$ with the following condition:
The positive integers less than or equal to $m$ that are relatively prime to $m$ can be divided into $n$ parts such that the sum of all numbers in each part is equal.
(proposed by B. Battsengel)
The positive integers less than or equal to $m$ that are relatively prime to $m$ can be divided into $n$ parts such that the sum of all numbers in each part is equal.
(proposed by B. Battsengel)