IMO Shortlist 2003 problem N5
Dodao/la:
arhiva2. travnja 2012. An integer
is said to be good if
is not the square of an integer. Determine all integers
with the following property:
can be represented, in infinitely many ways, as a sum of three distinct good integers whose product is the square of an odd integer.
%V0
An integer $n$ is said to be good if $|n|$ is not the square of an integer. Determine all integers $m$ with the following property: $m$ can be represented, in infinitely many ways, as a sum of three distinct good integers whose product is the square of an odd integer.
Izvor: Međunarodna matematička olimpijada, shortlist 2003
Školjka 
