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Omni-MATH / Is there a number n such that one can write n as the sum of 2017 perfect squares and (with at least) 2017 distinct ways?

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problem

Is there a number nn such that one can write nn as the sum of 20172017 perfect squares and (with at least) 20172017 distinct ways?
Plain-text mathematical notation (without MathML)
Is there a number n such that one can write n as the sum of 2017 perfect squares and (with at least) 2017 distinct ways?
Original LaTeX notation
Is there a number $n$ such that one can write $n$ as the sum of $2017$ perfect squares and (with at least) $2017$ distinct ways?

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