Perfect Squares

Sergei chooses two different natural numbers \(a\) and \(b\). He writes four numbers in a notebook: \(a\), \(a+2\), \(b\) and \(b+2\).

He then writes all six pairwise products of the numbers of notebook on the blackboard.

What is the maximum number of perfect squares on the blackboard?


Assumption: Natural numbers don't include zero.

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