Re: FLT AND ITS GENERALIZATION, BEAL'S CONJECTURE
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Date: 12/27/04
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Date: 27 Dec 2004 14:30:14 -0800
Nick Ancuta-Nazari wrote:
> I kindly ask those interested in this subject to comment on my
> approach "FLT AND ITS GENERALIZATION".
> Thank you very much.
> Regards,
> Nick Ancuta-Nazari
> nanazari@prodigy.net
>
> The TeX file is at
>
http://www.meadowdance.org/Wordsworth/Deliverables/FLT&BealConjecture.tex
>
> The PDF file is at
>
http://www.meadowdance.org/Wordsworth/Deliverables/FLT&BealConjecture.pdf
The links about this conjecture, flt and its generalization no longer
work, but info about Beal Conjecture is available at
http://www.ams.org/new-in-math/mathnews/beal.html
> As a banker in Dallas, Texas, Andrew Beal has an obvious
> interest in numbers. But he has another interest that is not so
> obvious: He is interested in the mathematical theory of numbers.
> An amateur mathematics enthusiast, Beal came upon a question in
> number theory that even the experts can't answer. The question turns
> out to be at the frontier of research in the field, with connections
> to other deep mysteries in mathematics. To spur mathematicians to
> solve the problem, Beal has offered a prize of $5,000 for its
> solution.
> The prize will increase by $5,000 every year up to the amount of
> $50,000.
> Will the Beal Prize Problem become the next Fermat's Last
> Theorem? Indeed, it is a generalization of that famous old problem,
> which Pierre de Fermat proposed over 300 years ago. Like the
> Fermat problem, the Beal Conjecture is easily stated:
> If A^x + B^y = C^z,
> then A, B, and C have a common factor. (Here all the letters
> represent whole numbers, with x, y, and z bigger than 2. Two
> numbers have a "common factor" if there is a number that divides
> both of them evenly. For example, 12 and 63 have a common factor
> of 3.)
> Another resemblance between the Beal Conjecture and Fermat's Last
> Theorem is that both had prizes established for their solutions. In
> 1996, after Andrew Wiles made international headlines by presenting
> the number theory arsenal that finally brought down Fermat's Last
> Theorem, he collected the Wolfskehl Prize. Established in 1908 with
> funds from the will of a German physician and amateur
> mathematician, Paul Wolfskehl, the Wolfskehl Prize enormously
> increased the fame of Fermat's Last Theorem by drawing thousands
> of entries from all over the globe.
> The article, "A Generalization of Fermat's Last Theorem: The
> Beal Conjecture and Prize Problem," by Professor Daniel Mauldin,
> appears in the December 1997 issue of the Notices of the AMS. This
> article provides further details about Beal's question and its role
> in modern number theory. See also the web site
> http://www.math.unt.edu/~mauldin/beal.html.
and the latest information at
http://www.math.unt.edu/~mauldin/beal.html
> THE BEAL CONJECTURE AND PRIZE
> BEAL'S CONJECTURE: If A^x +B^y = C^z ,
> where A, B, C, x, y and z are
> positive integers and x, y and z are all greater than 2,
> then A, B and C
> must have a common prime factor.
> THE BEAL PRIZE. The conjecture and prize was announced in the
> December 1997 issue of the Notices of the American Mathematical
> Society. Since that time Andy Beal has increased the amount of the
> prize for his conjecture.
> The prize is now this: $100,000 for either a
> proof or a counterexample of his conjecture. The prize money is being
> held by the American Mathematical Society until it is awarded. In the
> meantime the interest is being used to fund some AMS activities and
> the annual Erdos Memorial Lecture.
> CONDITIONS FOR WINNING THE PRIZE. The prize will be
> awarded by the prize committee appointed by the American
> Mathematical Society. The present committee members are Charles
> Fefferman, Ron Graham, and Dan Mauldin. The requirements for the
> award are that in the judgment of the committee,
> the solution has been
> recognized by the mathematics community. This includes that either a
> proof has been given and the result has appeared in a reputable
> refereed journal or a counterexample has been given and verified.
> PRELIMINARY RESULTS. If you have believe you have solved the
> problem, please submit the solution to a reputable refereed journal.
> If you have questions, they can be mailed to:
> The Beal Conjecture and Prize
> c/o Professor R. Daniel Mauldin
> Department of Mathematics
> Box 311430
> University of North Texas
> Denton, Texas 76203
> Questions and queries can also be FAXED to 940-565-4805 or sent by
> e-mail to
> mauldin@unt.edu
> LINKS TO ARTICLES ABOUT THE CONJECTURE AND PRIZE
> The Beal Conjecture
> Notices American Mathematical Society, December 1997
> Manchester Guardian January 8, 1998
> A computer study has been carried out by Peter Norvig who is Chief of
> the Computational Sciences Division at the NASA Ames Research
> Center. The program and results may be found at
> Beal's Conjecture: A Search for Counterexamples
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