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Pi to the Pi to the Pi to the Pi: Could It Be Rational?
It sounds absurd. And in a sense, it is. The number you get is unfathomably large — if you approximate pi as 3, then 3^3 is 27, 3^27 is over 7 trillion, and 3 to the 7-trillionth power gives you a number with something like 3.6 trillion digits. So yes, we’re not going to directly observe any specific properties of that number. It's way out ...
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