MathDB

N4

Part of 2013 IMO Shortlist

Problems(1)

IMO Shortlist 2013, Number Theory #4

Source: IMO Shortlist 2013, Number Theory #4

7/10/2014
Determine whether there exists an infinite sequence of nonzero digits a1,a2,a3,⋯a_1 , a_2 , a_3 , \cdots and a positive integer NN such that for every integer k>Nk > N, the number akak−1⋯a1‾\overline{a_k a_{k-1}\cdots a_1 } is a perfect square.
number theoryPerfect Squaredecimal representationIMO ShortlistHi