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The Beal Conjecture

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  • Roger Bagula
    THE BEAL CONJECTURE AND PRIZE BEAL S CONJECTURE: If Ax +By = Cz , where A, B, C, x, y and z are positive integers and x, y and z are all greater than 2, then
    Message 1 of 1 , Apr 27, 2004
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      THE BEAL CONJECTURE AND PRIZE


      BEAL'S CONJECTURE: If Ax +By = Cz , 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@... <mailto:mauldin@...>

      LINKS TO ARTICLES ABOUT THE CONJECTURE AND PRIZE


      The Beal Conjecture <http://www.bealconjecture.com>
      Notices American Mathematical Society, December 1997
      <http://www.ams.org/notices/199711/beal.pdf>
      Manchester Guardian January 8, 1998
      <http://online.guardian.co.uk/science/884190110-banker.html>

      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
      <http://www.norvig.com/beal.html>


      http://www.math.unt.edu/~mauldin/beal.html
      <http://www.math.unt.edu/%7Emauldin/beal.html>

      --
      Respectfully, Roger L. Bagula
      tftn@..., 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :
      URL : http://home.earthlink.net/~tftn
      URL : http://victorian.fortunecity.com/carmelita/435/
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