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:
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Video 1.
Why π^π^π^π could be an integer by Stand-up Maths (2021)
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  1. Transcendental number
  2. Algebraic number
  3. Algebraic equation
  4. Polynomial
  5. Numeric function
  6. Function by signature
  7. Function (mathematics)
  8. Formalization of mathematics
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