3

Part of 1989 Swedish Mathematical Competition

Problems(1)

n^3 - 18n^2 + 115n - 391 a perfect cube

Source: 1989 Swedish Mathematical Competition p3

Find all positive integers

n

n^3 - 18n^2 + 115n - 391

is the cube of a positive intege

Perfect Squarenumber theorygeometry3D geometry