197

Part of 1951 Moscow Mathematical Olympiad

Problems(1)

MMO 197 Moscow MO 1951 10 ... 0 5 0...01 not a perfect cube

Source:

Prove that the number

1\underbrace{\hbox{0...0}}_{\hbox{49}}5\underbrace{\hbox{0...0}}_{\hbox{99}}1

is not the cube of any integer.

perfect cubenumber theorygeometry3D geometry