Tagged Questions
12
votes
1answer
364 views
Can you raise $\pi$ to a real power to make it rational?
We're all familair with this beautiful proof whether or not an irrational number to an irrational power can be rational. It goes something like this:
Take $(\sqrt{2})^{\sqrt{2}}$
If it's rational, ...
-2
votes
2answers
71 views
Does the sum of the digits tell us anything about the relation between these two functions
The number $K$ is expressible as part of one of either of two quadratic functions with integer coefficients. One of the functions is quadratic in $\pi$ and one is quadratic in $e$:
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