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

Source:

August 7, 2019
perfect cubenumber theorygeometry3D geometry

Problem Statement

Prove that the number 10...0⏟4950...0⏟9911\underbrace{\hbox{0...0}}_{\hbox{49}}5\underbrace{\hbox{0...0}}_{\hbox{99}}1 is not the cube of any integer.
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