{tag=Simple to state but hard to prove}

https://en.wikipedia.org/wiki/Transcendental_number#Conjectured_transcendental_numbers

There's a billion simple looking expressions which are not known to be transcendental numbers or not. It's cute <simple to state but hard to prove> at its best.

Open as of 2020:
* $e + \pi$

Bibliography:
* https://www.quantamagazine.org/recounting-the-history-of-maths-transcendental-numbers-20230627/ How Math Achieved Transcendence by David S. Richeson (2023).

\Video[https://www.youtube.com/watch?v=BdHFLfv-ThQ]
{title=Why π^π^π^π could be an integer by Stand-up Maths (2021)}
{description=Sponsored by Jane Street. <finance is a cancer of society>[Shame].}


 Transcendental number conjecture

ID: transcendental-number-conjecture