Question Number 120923 by bemath last updated on 04/Nov/20 | ||
$$\mathrm{Determine}\:\mathrm{all}\:\mathrm{primes}\:{p}\:\mathrm{for}\:\mathrm{which} \\ $$$$\mathrm{the}\:\mathrm{system}\:\mathrm{of}\:\mathrm{equations}\: \\ $$$$\begin{cases}{{p}\:+\mathrm{1}\:=\:\mathrm{2x}^{\mathrm{2}} }\\{{p}^{\mathrm{2}} +\mathrm{1}=\mathrm{2y}^{\mathrm{2}} \:\:}\end{cases}\:;\:\mathrm{has}\:\mathrm{solution}\:\mathrm{in} \\ $$$$\mathrm{integers}\:\mathrm{x},\:\mathrm{y}. \\ $$ | ||
Answered by liberty last updated on 04/Nov/20 | ||