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by Ciro Santilli (@cirosantilli, 37)

Transcendental number conjecture

 ... Function by signature Numeric function Polynomial Algebraic equation Algebraic number Transcendental number
 0 By others on same topic  0 Discussions  Updated 2025-05-29  +Created 1970-01-01  See my version
Tags: Simple to state but hard to prove
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+π
Bibliography:
  • www.quantamagazine.org/recounting-the-history-of-maths-transcendental-numbers-20230627/ How Math Achieved Transcendence by David S. Richeson (2023).
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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