Does there exist a proof that e^(m/n) = π for some integers m and n?

glebovg · Apr 20, 2012

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

micromass · Apr 20, 2012

This is an unsolved problem. See http://mathworld.wolfram.com/Pi.html

SteveL27 · Apr 20, 2012

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

Does there exist a proof that e^(m/n) = π for some integers m and n?

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Does there exist a proof that e^(m/n) = π for some integers m and n?

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