Timeline for Who first proved the generalization of Bertrand's postulate to (2n,3n) and (3n,4n)?
Current License: CC BY-SA 3.0
8 events
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| Jan 3, 2018 at 18:39 | history | edited | Ofir Gorodetsky | CC BY-SA 3.0 |
added 158 characters in body
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| Dec 28, 2017 at 18:43 | comment | added | Jose Brox | @OfirGorodetsky Please, see my own answer. I got the references taking Erdös' paper as a starting point. Thanks! | |
| Dec 27, 2017 at 21:29 | comment | added | Ofir Gorodetsky | @JoseBrox According to Google Scholar, there isn't a paper from 1952 or before citing Chebyshev's, Ramanujan's or Erdős's proofs. On the other hand, Google Scholar does not list Nagura's paper in the list of citations, so it is far from perfect. | |
| Dec 27, 2017 at 21:11 | comment | added | Jose Brox | @DanBrumleve I don't think so... Wikipedia doesn't say that they provide simple proofs, just states "this person proved this fact" (btw, as does Moser's paper linked by Carlo Beenakker in a commentary) | |
| Dec 27, 2017 at 21:09 | comment | added | Jose Brox | Nice! Do you have any hint that this is indeed the first proof of this kind? | |
| Dec 27, 2017 at 21:06 | comment | added | Ofir Gorodetsky | @DanBrumleve The proof uses properties of the Gamma function for a real variable only, as far as I can see. The idea of employing properties of the Gamma function (including Stirling's formula) goes back to Ramanujan's proof of Bertrand's Postulate (1919). | |
| Dec 27, 2017 at 20:58 | comment | added | Igor Rivin | Scooped me by 2 minutes :) | |
| Dec 27, 2017 at 20:55 | history | answered | Ofir Gorodetsky | CC BY-SA 3.0 |