Timeline for Approximating integers with prime quotients [closed]
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 9, 2017 at 7:57 | comment | added | Salvo Tringali | @Watson Hobby and Silberger's paper is cited in my answer below (item 3 in the list there). | |
| Jan 7, 2017 at 21:07 | comment | added | Watson | You can also read Quotients of Primes by David Hobby and D. M. Silberger. | |
| Sep 22, 2015 at 13:25 | history | closed |
Ilya Bogdanov Stefan Kohl♦ user9072 Chris Godsil Lucia |
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| Sep 22, 2015 at 12:47 | answer | added | Marco | timeline score: 6 | |
| Sep 22, 2015 at 9:40 | comment | added | Martin Sleziak | Some posts on Math.SE: Rationals of the form $\frac{p}{q}$ where $p,q$ are primes in $[a,b]$., The set of rational numbers of the form p/p', where p and p' are prime, is dense in $[0, \infty)$ and Are fractions with prime numerator and denominator dense?. Related MO post: Using Quotient of Prime Numbers to Approximation Reals. | |
| Sep 22, 2015 at 8:10 | vote | accept | Dominic van der Zypen | ||
| Sep 22, 2015 at 7:58 | review | Close votes | |||
| Sep 22, 2015 at 13:25 | |||||
| Sep 22, 2015 at 7:51 | answer | added | Salvo Tringali | timeline score: 12 | |
| Sep 22, 2015 at 7:42 | comment | added | Dominic van der Zypen | Thanks Salvo! I guess I should delete this question... Or you can put your comment as an answer ... as you wish! | |
| Sep 22, 2015 at 7:33 | comment | added | Salvo Tringali | Yes, and it is even true that for every $\alpha \in \mathbf R$ and $\varepsilon \in \mathbf R^+$ there exist (rational) primes $p, q \in \mathbf Z$ such that $|\alpha - p/q| < \varepsilon$; see, e.g., at the bottom of p. 165 in W. Sierpiński, Elementary Theory of Numbers, Amsterdam: North-Holland Mathematical Library 31, North-Holland, 1988 (2nd edition). | |
| Sep 22, 2015 at 7:20 | history | asked | Dominic van der Zypen | CC BY-SA 3.0 |