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Part of 1949-56 Chisinau City MO

Problems(1)

Chisinau MO p3 1949-56 VIII-IX N = 10 ...050...01 not a perfect cube

Source:

3/15/2021
Prove that the number N=10...050...01N = 10 ...050...01 (1, 49 zeros, 5 , 99 zeros, 1) is a not cube of an integer.
number theoryperfect cubegeometry3D geometry