For an integer $d>2$ which is not a square, we show that there is at most one value of the positive integer x participating in the Pell equation x²-dy²=± 1 which is a Fibonacci number.
No takes yet. Share an insight, caveat, or question.
Luca et al. (2018) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: