On Y-coordinates of Pell equations which are base 2 rep-digits
On Y-coordinates of Pell equations which are base 2 rep-digits
In this paper, we show that if (X k , Y k ) is the kth solution of the Pell equation X 2 -dY 2 = 1 for some non-square integer d > 1, then the equation Y k = 2 n -1 has at most two positive integer solutions …