Question 24
Determine all pairs $(x, y)$ of integers satisfying the equation
$$
1 + 2^{x} + 2^{2x+1} = y^{2}
$$
$$
1 + 2^{x} + 2^{2x+1} = y^{2}
$$
IMO 2006 — Complete Shortlist Question 24
IMO Shortlist · IMO 2006 — Complete Shortlist
IMO Shortlist · IMO 2006 — Complete Shortlist