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the abbreviation RL in the title is confusing and unnecessary: whether a question is research level or not is decided based on its content, not on some tag.
Carlo Beenakker
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How to determine the $2^{2020}$ decimal of $\sqrt{2}$

In the case of $\dfrac{1}{7^{800}}$ it's easy, to find the $2^{2020}$ decimal, but what about the simplest of the irrational numbers.

Question: Do we know how to determine the $2^{2020}$ decimal of $\sqrt{2}$?

Dattier
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