IMO 2019 Shortlist N8

Let a and b be two positive integers. Prove that the integer a2 R 4a2 b V is not a square. (Here rzs denotes the least i...

IMO 2019 Shortlist N8

Category: Number Theory

Problem

Let a and b be two positive integers. Prove that the integer a2 ` R 4a2 b V is not a square. (Here rzs denotes the least integer greater than or equal to z.) (Russia) 10 Bath — UK, 11th–22nd July 2019