Re: x^2 - Ay^2 =1

Philippe wrote:

We are waiting for your polynomials giving
A = 61, 109 or 421...

1766319049^2-61*226153980^2=1
is tied
29718^2-61*3805^2=-1
find the tie.

For others: tied x^2-109*Y^2=-1
or x^2-421y^1=-1, and I fiend what ask.


I give you a solution, which is may be or not the >>fundamental one,of this equation :
x^2 - 21*y^2 = 1
X = 665335, Y = 145188
Could you say if this solution is fundamental or not ?
Could you find from this the fundamental solution ?
show me your 'simple decomposition'...
Another example
x^2 - 85*y^2 = 1
X = 285769, Y = 30996
same question.

Of course 285769 = (11.83,313) isn't square
and 665335=(5,11,12097) isn't square
so 55=(5,11)isn't square; and 55^2-21*12^2=1.

I find the metod !

Regards
Vincenzo Librandi
vincenzo.librandweoz@xxxxxxxx
.

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