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tech / sci.math / Re: Conjecture (FLT related): another karzeddin-like conjecture

Re: Conjecture (FLT related): another karzeddin-like conjecture

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https://www.novabbs.com/tech/article-flat.php?id=143464&group=sci.math#143464

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Date: Fri, 4 Aug 2023 04:01:31 -0700 (PDT)
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Subject: Re: Conjecture (FLT related): another karzeddin-like conjecture
From: b.karzed...@yahoo.com (bassam karzeddin)
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by: bassam karzeddin - Fri, 4 Aug 2023 11:01 UTC

On Wednesday, April 19, 2006 at 4:16:59 PM UTC+3, quasi wrote:
> The following conjecture was inspired by Karzeddin's posts ...
> Conjecture:
> If a,b are positive integers greater than 2, and x,y are coprime
> positive integers greater than 1, then the prime factorization of
> x^a+y^b includes at least one prime factor with exponent at most 2.
> The same is true for x^a-y^b with the two exceptions x=2,a=3,y=3,b=2
> and x=3,b=2,y=2,a=3.
> Remarks:
> The truth of the above conjecture would yield an instant alternative
> proof of FLT.
> In fact, the above conjecture also implies the truth of The Beal
> Conjecture.
> quasi

Subject	Author
Re: Conjecture (FLT related): another karzeddin-like conjecture	bassam karzeddin