MathDB

2/p can be expressed in exactly one way in the form 1/x+1/y

Source: Eotvos 1931 p1

September 10, 2024

number theory

Problem Statement

Let

p

be a prime greater than

2

. Prove that

\frac{2}{p}

can be expressed in exactly one way in the form

\frac{1}{x}+\frac{1}{y}

where

x

and

y

are positive integers with

x > y