The Aperiodical 

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Buzz in when you think you know the answer

By Andrew Taylor. Posted March 14, 2019

Aperiodical guest author Andrew Taylor writes about an intriguing piece of number theory which turns out to also be something else.

How many ways are there of writing some natural number $n$ as the sum of two squares?

$$n=p^2+q^2$$

I don’t want an answer for some particular $n$. I don’t even want a general formula. I just want to know… on average.