Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

A little reading suggests:

It is known that either $\pi + e$ or $\pi \times e$ is transcendental (or possibly both), but no proof is known that one of those two numbers in particular is transcendental.

If we just want irrationality rather than transcendence, is a proof known?

Can we prove $\pi+e$ is irrational? Can we prove $\pi \times e$ is irrational?

share|improve this question
2  
See this: mathoverflow.net/questions/40145/… –  PEV Mar 21 '11 at 4:43
1  
And this: mathforum.org/library/drmath/view/51617.html –  PEV Mar 21 '11 at 4:45
add comment

1 Answer

up vote 12 down vote accepted

It is not known whether $\pi + e$ is irrational, nor whether $\pi \times e$ is irrational. See $\# 22$ here.

share|improve this answer
    
I typeset your answer to change * to $\times$ and to add the webpage as a link. Hope you don't mind. –  user17762 Mar 21 '11 at 4:51
    
@Sivaram: Not at all, thanks for cleaning it up. –  Alex Becker Mar 21 '11 at 4:53
    
The link does not work anymore. Here is the version from Google cache. –  Martin Sleziak Jun 17 '12 at 6:56
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.