MathDB
a^2+b^2-ab is not a square

Source: India EGMO 2021 TST P6

November 18, 2021
number theoryPerfect Squareindianumber theory solved

Problem Statement

Let n>2n>2 be a positive integer and b=22nb=2^{2^n}. Let aa be an odd positive integer such that a≤b≤2aa\le b \le 2a.
Show that a2+b2−aba^2+b^2-ab is not a square.
Back to ProblemsView on AoPS