IMO Shortlist 2013 problem N4


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Dodao/la: arhiva
21. rujna 2014.
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Determine whether there exists an infinite sequence of nonzero digits a_1, a_2, a_3, \ldots and a positive integer N such that for every integer k > N, the number \overline{a_k a_{k-1} \ldots a_1} is a perfect square.
Izvor: Iran