Timeline for Proof of infinitude of primes whose reversal in base 10 is also prime [closed]
Current License: CC BY-SA 3.0
16 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 15, 2012 at 6:11 | history | undeleted | S. Carnahan♦ | ||
| Dec 13, 2011 at 22:38 | history | deleted |
user6976 Andy Putman Ryan Budney |
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| Dec 9, 2011 at 16:08 | comment | added | user9072 | @Mark Sapir: it is a result due to Friedlander and Iwaniec (1997), see pnas.org/content/94/4/1054.abstract | |
| Dec 9, 2011 at 15:47 | comment | added | user6976 | @quid: It is interesting (about $x^2+y^4$). I did not know it. | |
| Dec 9, 2011 at 15:19 | comment | added | user9072 | @Mark Sapir: while I agree with the general sentiment, that there are inifnitely many primes of the form x^2 + y^4 does not follow from Dirichlet but is still known; also there are some results on primes with given Hamming weight and some other things. | |
| Dec 9, 2011 at 15:05 | comment | added | user9072 | I cast the final vote to close. Essentially for the reason given by Mark Sapir. More specifically, the question is presented in an unmotivated form; an infinitude of variations springs to mind. Of course; such questions are, can, and should be studied. But for such a question some motivation (of course not in the sense of application, but some context of methods, background and so on) is essential. | |
| Dec 9, 2011 at 14:59 | history | closed |
user6976 Felipe Voloch Dmitri Pavlov Benjamin Steinberg user9072 |
too localized | |
| Dec 9, 2011 at 14:00 | answer | added | Timothy Foo | timeline score: 1 | |
| Dec 9, 2011 at 13:04 | comment | added | user6976 | @Sridhar Ramesh: These questions are the same: this does not follow from Dirichlet (or Chebotarev density), hence the answer is unknown. One can easily cook up infinitely many questions like that. For example: are there infinitely many primes of the form $x^2+1$ ($x^2+2$, $x^2+3, $2^n+1, 2^n+3$, etc.). | |
| Dec 9, 2011 at 11:24 | answer | added | Timothy Foo | timeline score: 0 | |
| Dec 9, 2011 at 11:01 | comment | added | Sridhar Ramesh | The OP is not asking about palindromes which are primes, and that is why the linked mathworld page is irrelevant. The OP is asking about primes whose reverses are also primes, regardless of whether the number and its reverse are the same. | |
| Dec 9, 2011 at 10:54 | answer | added | Igor Rivin | timeline score: 2 | |
| Dec 9, 2011 at 10:01 | comment | added | user6976 | It says that "the largest known ... is ...". What else do you want? All such problems are open. The maximal result about a natural set of numbers with infinite subset of primes is the Dirichlet theorem. Everybody with access to Google can learn it in a few minutes. | |
| Dec 9, 2011 at 9:49 | comment | added | Zsbán Ambrus | Mark Sapir: that page is about a subset of the set OP asks about, and does not say whether that subset is infinite. Thus, I don't see how this answers the question. | |
| Dec 9, 2011 at 9:36 | comment | added | user6976 | The answer can be easily found on Google: mathworld.wolfram.com/PalindromicPrime.html. Voted to close. | |
| Dec 9, 2011 at 9:19 | history | asked | Pratik Deoghare | CC BY-SA 3.0 |