Junior Balkan MO 1998 - Problem 1


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27. listopada 2023.
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Prove that the number \underbrace{111\ldots 11}_{1997}\underbrace{22\ldots 22}_{1998}5 (which has 1997 of 1-s and 1998 of 2-s) is a perfect square.

Izvor: Juniorska balkanska matematička olimpijada 1998.