Timeline for Does pi contain 1000 consecutive zeroes (in base 10)?
Current License: CC BY-SA 2.5
12 events
| when toggle format | what | by | license | comment | |
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| Jun 17, 2022 at 1:51 | comment | added | Charles | Zeilberger & Zudilin now beat Salikhov on the irrationality measure: arxiv.org/abs/1912.06345 | |
| Sep 26, 2018 at 11:48 | comment | added | Jeppe Stig Nielsen | That was what I thought. Even if the irrationality measure and entire continued-fraction expansion are "easy" for $\sqrt2$, we still do not know much. | |
| Sep 26, 2018 at 0:17 | comment | added | Gerry Myerson | @Jeppe, similar remarks apply: it is widely believed (but not proved) that every finite string of digits occurs in the decimal expansion of $\sqrt2$, and furthermore occurs, in the long run, "as often as it should," and furthermore that the analogous statement is true for expansion in base b for b = 2, 3, .... On the other hand, for all we are able to prove, $\sqrt2$ in decimal could be all sixes and sevens (say) from some point on. But, same as for $\pi$, it can't have too long a string of zeros too early. | |
| Sep 25, 2018 at 22:56 | comment | added | Jeppe Stig Nielsen | Then, does $\sqrt{2}$, a much more mundane irrational number, contain 1000 consecutive zeroes? | |
| Feb 26, 2018 at 8:40 | comment | added | Gerry Myerson | @Patrick, nope. | |
| Feb 26, 2018 at 7:00 | comment | added | PatrickT | Can this help at all? en.wikipedia.org/wiki/… | |
| May 21, 2010 at 4:18 | comment | added | Gerry Myerson | @Charles, thanks for the link to the Hata paper. | |
| May 21, 2010 at 4:05 | comment | added | Charles | matwbn.icm.edu.pl/ksiazki/aa/aa63/aa6344.pdf | |
| May 6, 2010 at 11:53 | comment | added | Wadim Zudilin | @Gerry: Thanks for reminding me of why the zeroes should be far away. | |
| May 5, 2010 at 15:56 | vote | accept | Tony Huynh | ||
| May 5, 2010 at 6:08 | comment | added | Wadim Zudilin | As for the irrationality measure of $\pi$ Hata's longstanding record was recently beat: V.Kh. Salikhov, Russ. Math. Surv. 63, No. 3, 570-572 (2008); translation from Usp. Mat. Nauk 63, No. 3, 163-164 (2008). | |
| May 5, 2010 at 6:02 | history | answered | Gerry Myerson | CC BY-SA 2.5 |