by Ciro Santilli (@cirosantilli, 35)
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:
Bibliography:
Video 1.
Why π^π^π^π could be an integer by Stand-up Maths (2021)
Source. Sponsored by Jane Street. Shame.

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  1. Transcendental number
  2. Algebraic number
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  4. Polynomial
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