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Omni-MATH / Is it possible to arrange the numbers 1¹,2²,...,2008²⁰⁰⁸ one after the other, in such a way that the obtained number is a perfect square? (Explain your answer.)

Problem

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problem

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.)
Plain-text mathematical notation (without MathML)
Is it possible to arrange the numbers 1¹,2²,...,2008²⁰⁰⁸ one after the other, in such a way that the obtained number is a perfect square? (Explain your answer.)
Original LaTeX notation
Is it possible to arrange the numbers $1^1, 2^2,..., 2008^{2008}$ one after the other, in such a way that the obtained number is a perfect square? (Explain your answer.)

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