4

Part of 1973 Swedish Mathematical Competition

Problems(1)

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

Source: 1973 Swedish Mathematical Competition p4

p

is a prime. Find all relatively prime positive integers

m

n

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

diophantinenumber theoryDiophantine equation