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MathNet 2014 Question 58

Math Olympiad Vault · MathNet 2014

Question 58

Sergey chose two different positive integers $a$ and $b$. Then he calculated all six pairwise products of the four numbers $a$, $a+2$, $b$, and $b+2$. Find the maximal number of perfect squares among the six calculated numbers. (S. Berlov)