Timeline for Why Is $e^{\pi\sqrt{232}}$ an Almost Integer?
Current License: CC BY-SA 3.0
10 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| S Jul 15, 2015 at 21:42 | history | suggested | user68208 | CC BY-SA 3.0 |
Add and edit some latex...
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| Jul 15, 2015 at 21:01 | review | Suggested edits | |||
| S Jul 15, 2015 at 21:42 | |||||
| Apr 7, 2013 at 11:56 | history | edited | Stefan Kohl♦ | CC BY-SA 3.0 |
Fixed a typo in the title.
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| May 22, 2011 at 23:25 | answer | added | Steven Heston | timeline score: 1 | |
| Jul 28, 2010 at 17:01 | answer | added | S. Carnahan♦ | timeline score: 35 | |
| Jul 7, 2010 at 6:08 | comment | added | Kevin Buzzard | @Wadim. I think there is a question here, although no doubt there's a standard answer (but I don't know it; I would start by looking in Cox' book). The question is this. If $x=j(sqrt(-58))$ then $x$ is a root of a monic quadratic with integer coefficients. That quadratic is $x^2 - 604729957849891344000x + 14871070713157137145512000000000$. Furthermore, $e^{\pi\sqrt{58}}+744$ is within $10^{-5}$ of one of the roots. That much isn't surprising at all. What is a little surprising, to me, is that both roots of the quadratic are within $10^{-5}$ of integers. | |
| Jul 7, 2010 at 2:31 | comment | added | Steven Heston | Exp[PiSqrt[22]]=2508951.998, Exp[PiSqrt[37]]=199148647.99998, Exp[Pi*Sqrt[58]]=24591257751.9999998. Do you still think this is a coincidence?! | |
| Jul 6, 2010 at 23:14 | comment | added | Wadim Zudilin | That's a new numerology question, see mathoverflow.net/questions/28088 and especially Gjergji's comment and my answer. I'll probably should ask why $e^\pi-\pi$ is close to an integer. :-) | |
| Jul 6, 2010 at 16:02 | history | asked | Steven Heston | CC BY-SA 2.5 |