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.
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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.
Školjka