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Middle European Mathematical Olympiad
2023 Middle European Mathematical Olympiad
7
Representable integers
Representable integers
Source: MEMO 2023 T7
August 25, 2023
number theory
Problem Statement
Find all positive integers
n
n
n
, for which there exist positive integers
a
>
b
a>b
a
>
b
, satisfying
n
=
4
a
b
a
−
b
n=\frac{4ab}{a-b}
n
=
a
−
b
4
ab
.
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