Question 4
Determine all pairs $(x, y)$ of integers satisfying the equation
$$
1 + 2^{x} + 2^{2x+1} = y^{2}
$$
$$
1 + 2^{x} + 2^{2x+1} = y^{2}
$$
International Mathematical Olympiad 2006 — Official contest Question 4
IMO · International Mathematical Olympiad 2006 — Official contest