this post was submitted on 22 Jan 2024
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Still, we can't proof that Pi^Pi^Pi^Pi is an integer or not, since we don't know enough digits.
It's definitely not an integer seeing as it has a fractional component. Do you mean if it's rational or not?
No, we can't proof if its an integer or not. If you can proof it, you are up for a great career in mathematics: https://www.spektrum.de/kolumne/ist-pi-hoch-pi-hoch-pi-hoch-pi-eine-ganze-zahl/2203268
(Unfortunately only found this german article, but maybe translation works)