MathDB

m/n + 1 /p^2 =(m+p)/(n+p)

Source: 1973 Swedish Mathematical Competition p4

March 26, 2021

diophantinenumber theoryDiophantine equation

Problem Statement

p

is a prime. Find all relatively prime positive integers

m

n

such that

\frac{m}{n}+\frac{1}{p^2}=\frac{m+p}{n+p}