MathDB

8

Part of 2004 Moldova Team Selection Test

Problems(1)

An integer $n$ is called good if $|n|$ is not a square of an integer.

Source: Moldova TST 2004

3/8/2023
An integer n n is called good if ∣n∣ |n| is not a square of an integer. Find all integers mm with the following property: mm can be represented in infinite ways as a sum of three disctinct good numbers, the product of which is the square of an odd integer.
combinatorics