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RE: [PrimeNumbers] Re: Interesting page for the number crunchers

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  • Jon Perry
    Two points: 1) Does the Mordell conjecture still hold for y^n? 2) I think this is the law of small numbers, but how is the theorem that if an equation has no
    Message 1 of 3 , Jun 1, 2002
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      Two points:

      1) Does the Mordell conjecture still hold for y^n?

      2) I think this is the law of small numbers, but how is the theorem that if
      an equation has no solutions to some very large n, then it is true/false
      holding water.

      Jon Perry
      perry@...
      http://www.users.globalnet.co.uk/~perry/maths
      BrainBench MVP for HTML and JavaScript
      http://www.brainbench.com


      -----Original Message-----
      From: djbroadhurst [mailto:d.broadhurst@...]
      Sent: 01 June 2002 13:04
      To: primenumbers@yahoogroups.com
      Subject: [PrimeNumbers] Re: Interesting page for the number crunchers


      Standard Pellian analysis shows that
      (x^4-1)/(x-1)=y^2
      has no integer solution for
      odd x in [9,10^20000]

      The probabilty of a solution with
      odd x > 10^20000 is about
      1 part in 10^10000, so
      I wouldn't advise "number crunching" :-)

      David



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