Timeline for Irrationality of $ \pi e, \pi^{\pi}$ and $e^{\pi^2}$
Current License: CC BY-SA 3.0
20 events
| when toggle format | what | by | license | comment | |
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| Mar 20 at 6:15 | comment | added | Hjalmar Rosengren | If someone proves that $\pi^\pi$ is irrational, the interesting statement is not "$\pi^\pi$ is irrational" but "humans (or computers) can prove that $\pi^\pi$ is irrational". The first statement is expected, the second statement is unexpected and absolutely amazing. | |
| Mar 20 at 4:11 | comment | added | Steven Landsburg | If an oracle told you that exactly one of these is rational, which would you bet on? | |
| S Nov 13, 2015 at 13:36 | history | suggested | BigM | CC BY-SA 3.0 |
Corrections
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| Nov 13, 2015 at 13:26 | review | Suggested edits | |||
| S Nov 13, 2015 at 13:36 | |||||
| S Nov 13, 2015 at 13:20 | history | suggested | Martin Sleziak |
added (irrational-numbers) tag
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| Nov 13, 2015 at 13:05 | review | Suggested edits | |||
| S Nov 13, 2015 at 13:20 | |||||
| May 9, 2013 at 3:37 | comment | added | Vladimir Reshetnikov | A similar question: math.stackexchange.com/questions/386207/… | |
| May 4, 2013 at 14:53 | vote | accept | Vladimir Reshetnikov | ||
| May 3, 2013 at 21:19 | comment | added | Henry Cohn | Irrationality proofs generally aren't useful in any practical sense, but they can certainly be enlightening. | |
| May 3, 2013 at 20:50 | comment | added | Oksana Gimmel | @PaulTaylor Don't you think that the rationality of $\pi e$ would be very enlightening and useful? | |
| May 3, 2013 at 20:29 | comment | added | Paul Taylor | Pietro said that it would be sad if effort were put into such things (rather than into something more enlightening or useful). I agree. | |
| May 3, 2013 at 19:58 | answer | added | Oksana Gimmel | timeline score: 54 | |
| Oct 2, 2010 at 16:28 | comment | added | KConrad | Pietro, why would it be sad to prove something people believe? It happens all the time! More often than not (but not always) long-standing conjectures which are solved turn out to be true in the way that they were conjectured. | |
| Sep 27, 2010 at 17:26 | comment | added | Pietro Majer | No doubt that a proof of irrationality of one of these numbers would be a monument of the human intelligence... But isn't a bit sad, such a big effort to prove something that everybody would believe true? What I would really like to see is a proof of rationality of at least one of these combinations of $\pi$ $e$ and $\gamma$. | |
| Sep 27, 2010 at 16:30 | vote | accept | Vladimir Reshetnikov | ||
| May 4, 2013 at 14:53 | |||||
| Sep 27, 2010 at 15:43 | vote | accept | Vladimir Reshetnikov | ||
| Sep 27, 2010 at 16:30 | |||||
| Sep 27, 2010 at 15:11 | answer | added | Matt Papanikolas | timeline score: 102 | |
| Sep 27, 2010 at 14:47 | comment | added | muad | I recently asked a similar question - mathoverflow.net/questions/33817/… | |
| Sep 27, 2010 at 14:08 | comment | added | cfranc | Why are you interested in these particular numbers? | |
| Sep 27, 2010 at 13:52 | history | asked | Vladimir Reshetnikov | CC BY-SA 2.5 |