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

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-----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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