Talk:Beal conjecture

Storing historical data

I think we should store a historical record on all of those who have previously tried to solve the Beal Conjecture, that way when it is proved or disproved we can see all of the people who tried and compared to that one mathematician who actually solved it. Thoughts? I believe the answer to this conjecture will be coming sooner rather than later (hint, hint). — Preceding unsigned comment added by 137.229.183.74 (talk) 20:28, 5 December 2018 (UTC)[reply]

Poor choice of words

The section Related examples contains this sentence:

"Any solutions to the Beal conjecture will necessarily involve three terms all of which are ...."

It is unfortunate to say a "solution" is to "the Beal conjecture". Each "solution" referred to here is a point (A,B,C) of the locus {(A,B,C) ∈ ℕ³ | A^x + B^y = C^z}.

It is entirely correct to say that (A,B,C) is a solution to the equation A^x + B^y = C^z. It is wrong to say that it is a solution to the "Beal conjecture".

I hope someone who knows about this conjecture will make such a change.2600:1700:E1C0:F340:4D88:6C4F:C0E3:A053 (talk) 22:57, 21 June 2019 (UTC)[reply]

Merging Beal and Fermat-Catalan conjectures

I just wrote the French Wikipedia article about the Generalised Fermat Equation. My main motivation was that Beal and Fermat-Catalan conjectures heavily overlap (on this wiki, for example: apart from being useful for their multiples, triples of exponents containing a 2 are relevant for the Fermat-Catalan than for the Beal conjecture) and fitted really well in this larger frame. Even without going to the point of the Generalised generalised Fermat Equation Ax^p + By^q = Cz^r (which still makes sense in my opinion because such equations are closely linked to the former x^p + y^q = z^r in both results and solving techniques), I propose to do the same here: create a Generalised Fermat equation article in which we move all the contents from both Fermat-Catalan conjecture and Beal conjecture articles and subsequently make those two redirect to the new article. Also, this would be maybe help mitigate what some contributors seem to feel like a billionaire attempt to leave his name in history: there wouldn't be an article named Beal conjecture anymore, although the new article would still name the conjecture as such. Astaulphe (talk) 14:38, 26 April 2020 (UTC)[reply]

Partial result

Hi.

Could you please take a look at my research called "On Beal's Conjecture, the Case (x,y,z)=(n,2n-1,n)" and possibly include it as a partial result of Beal's conjecture? 196.89.222.141 (talk) 12:07, 2 January 2022 (UTC)[reply]

I would like to get endorsed to submit this partial Beal's solution to ARXIV — Preceding unsigned comment added by Marouane r (talk • contribs) 16:54, 7 January 2022 (UTC)[reply]

The reference to Andrew Beal

The reference to Andrew Beal says that it was formulated by him in 1933, but the linked article says he was born in 1952. 192.249.3.142 (talk) 00:04, 12 November 2022 (UTC)[reply]

No, it says "The conjecture was formulated in 1993", and the article has not been edited since August . . . . - Arjayay (talk) 11:14, 12 November 2022 (UTC)[reply]

Partial results section

I'm confused why the partial results section includes solutions not satisfying the condition that x, y, z ≥ 3 Jesse Flynn (pseudonym) (talk) 09:03, 17 October 2024 (UTC)[reply]

Probably because they are attempts at proving (or disproving) the actual conjecture. Bubba73 ^{You talkin' to me?} 02:35, 18 October 2024 (UTC)[reply]

ctrl+f searching "Beal" on https://arxiv.org/pdf/math/0508174 doesn't return any results.

If anywhere, I think partial results, that don't satisfy that condition, belong in Fermat–Catalan conjecture#Partial_results Jesse Flynn (pseudonym) (talk) 03:18, 18 October 2024 (UTC)[reply]