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1^1, 2^2,..., 2008^{2008} rearrangement for perfect square

Source: JBMO 2008 Shortlist N5

October 14, 2017
JBMOnumber theoryPerfect Squares

Problem Statement

Is it possible to arrange the numbers 11,22,...,200820081^1, 2^2,..., 2008^{2008} one after the other, in such a way that the obtained number is a perfect square? (Explain your answer.)
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