Question Number 110354 by Aina Samuel Temidayo last updated on 28/Aug/20
$$\mathrm{The}\:\mathrm{Diophantine}\:\mathrm{equation} \\ $$$$\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} +\mathrm{1}\:=\mathrm{N}\left(\mathrm{xy}+\mathrm{1}\right)\:\mathrm{has} \\ $$$$\mathrm{infinitely}\:\mathrm{many}\:\mathrm{integer} \\ $$$$\mathrm{solutions}\:\mathrm{if}\:\mathrm{N}\:\mathrm{equals}? \\ $$
Commented by Aina Samuel Temidayo last updated on 29/Aug/20
$$\mathrm{Any}\:\mathrm{help}\:\mathrm{please}? \\ $$