Re: x^2 - Ay^2 =1
- From: "Philippe 92" <nospam@xxxxxxxxxxxx>
- Date: Thu, 17 May 2007 19:41:18 +0200
sttscitrans@xxxxxxxxx wrote :
On 17 May, 11:46, Vincenzo Librandi <vincenzo.librandw...@xxxxxxxx>
wrote:
If x^2-Ay^2=1 the Pell's equation.
For every x (x>=2) is easy to find the primitive.
In fact x^2-1=p1*p2*........pn
(with p1,p2,...pn, relative factor).
It's transformed in x^2-Ay^2=1
Examples:
...
Yes, but you are not solving for A in
x^2-Ay^2 =1
The difficult question is if A = 23332322391
The fundamental solution of this one has 4648 digits.
(found in 1s by Dario Alpern's solver)
or 109
The one given by Fermat to Frenicle in 1657, hence this one can be
solved by hand calculation...
how do you find a fundamental solution without
trial and error.
--
Philippe C., mail : chephip+news@xxxxxxx
site : http://chephip.free.fr/ (recreational mathematics)
.
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