MathDB

Problem 3 - Juniors

Source: 24-th Hellenic Mathematical Olympiad

April 16, 2007

number theory proposednumber theory

Problem Statement

For an integer

n

, denote

A =\sqrt{n^{2}+24}

and

B =\sqrt{n^{2}-9}

. Find all values of

n

for which

A-B

is an integer.

Back to Problems View on AoPS