Transcendental numbers

glebovg

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

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

SteveL27

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?

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glebovg	Transcendental numbers Tweet 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 Blog Entries: 8 Recognitions: Gold Member Science Advisor Staff Emeritus	This is an unsolved problem. See http://mathworld.wolfram.com/Pi.html

SteveL27	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?