Talk:Catalan's conjecture

message: So shouldn't this page be moved to "Catalan's theorem" since it's been proven? --Lowellian 04:51, May 23, 2004 (UTC)
:At least the first sentence "Catalan's conjecture is a simple conjecture in number theory..." should be "Catalan's conjecture is a simple theorem in number theory...", shouldn't it? - ReiVaX 21:26, 28 Sep 2004 (UTC)
replies: text: Naming isn't that simple.  The name of a theorem, even if it used to be a conjecture, is largely based on societal factors.  The Smith conjecture (proven for over 20 years now), is still called the "Smith conjecture", and Fermat's Last Theorem didn't become called "Wiles' theorem".  To put it simply, there is no rule that "conjecture" gets replaced by "theorem" and there certainly is no rule that says that since Mihailescu proved the Catalan conjecture, it becomes "Mihailescu's theorem".  If indeed it is known as that, then it is for societal reasons which are murky.  In fact, I kind of doubt that so famous a conjecture as this would be renamed so quickly (if ever).  "Mihailescu's theorem" in Google Scholar brings up only a handful of hits.  I propose this page be moved back to "Catalan conjecture" unless it can be demonstrated that "Mihailescu's theorem" is the common name for this now.  --C S (Talk) 01:30, 14 May 2007 (UTC)

text: I support the above argument, and very strongly suggest that the page be moved back to "Catalan conjecture". Kope (talk) 14:41, 22 November 2007 (UTC)
thread_title: Name of page

message: The only source for this article is to a non-online reference. Can anyone provide something clickable and checkable? wikipediatrix 19:24, 22 August 2006 (UTC)
thread_title:  References 

message: How is Pillai's conjecture the same as Mihailescu's theorem? I will change the link after a week if no one gives me an answer. Sr13 08:29, 12 November 2006 (UTC)
thread_title: Articles

message: The unsourced parenthetical statement in this article might refer to one of the Chudnovsky brothers, but a quick reading of that article doesn't make any reference to such a claim.  And googling "Chudnowski" just turns up a number of clones of this article.  It seems to me that the statement "though Chudnowski has claimed to prove it" needs to be removed, unless someone can come up with a source for it.—GraemeMcRaetalk 15:44, 25 November 2009 (UTC)
replies: text: Removed. CRGreathouse (t | c) 14:30, 12 February 2010 (UTC)
thread_title: though Chudnowski has claimed to prove it (Pillai's conjecture)

message: On Feb. 11h, 2010 Alonso Del Arte stated on <seqfan@list.seqfan.eu> that 26 is the only number between a square (25) and a cube (27), and that it would seem that 26 is the only number between two powers. He has verified this up to 10^7. --Gfis (talk) 15:15, 21 February 2010 (UTC)
thread_title: Distance Two: 26

message: What is meant by "d is the difference of a perfect power n"?--Thn2010 (talk) 16:58, 1 March 2012 (UTC)
thread_title:  Pillai's conjecture 

message: "Langevin computed a value of exp exp exp exp 730 for the bound".
What does 'exp' mean in this context? Is it [[e (mathematical constant}|]], as in e^(e^(e^(e^730)))) ? DS (talk) 20:34, 18 January 2013 (UTC)
replies: text: Yes, "exp" is standard notation for the Exponential function and that is what is meant here.  Deltahedron (talk) 07:28, 19 January 2013 (UTC)
thread_title:  Terminology 

message: If n and n+1 are both perfect powers, then n = 8. Another conjecture is: if n is a natural number and n2+n+1 is a perfect power, then n = 18, is it true? More generally, if \Phi_n(b) is a perfect power and n>2, b>1, then (n, b) = (3, 18), (5, 3), or (6, 19).  — Preceding unsigned comment added by 101.14.116.15 (talk) 13:26, 31 March 2015 (UTC)
thread_title:  Another conjecture 

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thread_title:  External links modified 

message: Many entries in the table appear to be erroneous. For example, 250000 (distance 47, allegedly) is not a perfect power. It has 2 and 5 as factors. I tried to check several entries unsuccessfully.  — Preceding unsigned comment added by Bastiaan Zapf (talk • contribs) 15:36, 1 November 2019 (UTC)
replies: text: Just a power of some integer, 250000 = 500^2 and 250047 = 63^3.  Bubba73 You talkin' to me? 20:07, 1 November 2019 (UTC)
thread_title:  Errors?