MathDB

6

Part of 2024 Myanmar IMO Training

Problems(1)

Number Theory Problem with Induction

Source: 1996 Bulgaria Mathematical Olympiad

7/4/2024
Prove that for all integers n≥3n \geq 3, there exist odd positive integers xx, yy such that 7x2+y2=2n7x^2 + y^2 = 2^n.
inductionnumber theory