MathDB

5

Part of 2006 Korea Junior Math Olympiad

Problems(1)

(m^2 + 20mn + n^2(/(m^3 + n^3) pos. integer when m,n coprime pos. integers

Source: KJMO 2006 p5

5/1/2019
Find all positive integers that can be written in the following way m2+20mn+n2m3+n3\frac{m^2 + 20mn + n^2}{m^3 + n^3} Also, m,nm,n are relatively prime positive integers.
number theorycoprimepositive integersIntegers