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

Georgi Guninski guninski at guninski.com
Fri Jul 1 12:56:32 CEST 2011

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.

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