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Omni-MATH / Anna's number is obtained by writing down 20 consecutive positive integers, one after another in arbitrary order. Bob's number is obtained in the same way, but with 21 consecutive …

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problem

Anna's number is obtained by writing down 2020 consecutive positive integers, one after another in arbitrary order. Bob's number is obtained in the same way, but with 2121 consecutive positive integers. Can they obtain the same number?
Plain-text mathematical notation (without MathML)
Anna's number is obtained by writing down 20 consecutive positive integers, one after another in arbitrary order. Bob's number is obtained in the same way, but with 21 consecutive positive integers. Can they obtain the same number?
Original LaTeX notation
Anna's number is obtained by writing down $20$ consecutive positive integers, one after another in arbitrary order. Bob's number is obtained in the same way, but with $21$ consecutive positive integers. Can they obtain the same number?

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