### The average number of possibilities a natural number n can be written as n=x^2+y^2......is n.

Amazing. Proof in the link.

Amazing. Proof in the link.

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π

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But…I like tau more D:

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I believe the average number of possibilities is actually pi but still this is really cool.

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That was fantastic.

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is pi.

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**pi, not n. There’s just a typo in the original post.

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Except it’s not n, it’s pi. Which is honestly even cooler.

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