MathDB

a+b =n/2, and a,b both divisors of n

Source: 2023 NZMO - New Zealand Maths Olympiad Round 1 p5

September 2, 2023

number theory

Problem Statement

Find all triples

(a, b, n)

of positive integers such that

a

and

b

are both divisors of

n

, and

a+b = \frac{n}{2}