# Transcendental numbers

1. Apr 20, 2012

### glebovg

Is there a proof that there exist (or does not exist) integers m and n such that ${e^{m/n}} = \pi$? How would one prove such a statement?

2. Apr 20, 2012

### micromass

Staff Emeritus
3. Apr 20, 2012

### SteveL27

Along those lines, it's unknown whether $e + \pi$ is rational or irrational. If it turned out to be rational, that would be amazing, wouldn't it?

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