On Y-coordinates of Pell equations which are base 2 rep-digits / Bernadette Faye-Fall, Florian Luca.
Sažetak

In this paper, we show that if (Xk,Yk) is the kth solution of the Pell equation X2-dY2=1 for some non-square integer d>1, then the equation Yk=2n-1 has at most two positive integer solutions (k,n).