[seqfan] Re: Solutions to Pell x^2- d^5 y^2 = 1?

[franktaw at netscape.net]

Um,

17^2 - 32 * 3^2 = 1.

Maybe you need to check your program.

Franklin T. Adams-Watters

-----Original Message-----
From: Georgi Guninski <guninski at guninski.com>

Are there solutions to Pell x^2- d^5 y^2 = 1 with d not square and y>0?

According to a pari program there are no solutions <10^5, searching for 
more
terms now.

In the solutions to x^2- d^3 y^2 = 1, d appears to be
A135735 Sequence arising in a search for three consecutive powerful 
numbers.