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1.6325...

A transcendental number like

can be used to obtain an integer again.

 


Explanation

On a calculator you can see that

It is an irrational number. You can take this number as an exponent, then you get

This transcendental number is called the constant of Gelfond-Schneider. So there are infinitely many decimal places, which never form a regular pattern. And you can go even further with

That's a stunning result. All of a sudden, an integer appears again. We're going to check that out anyway.

By calculation, transcendental numbers can be made into integers again.

 


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