Squar-cube number

Number Theory Level pending

64 is a square number (8x8) as well as a cube number (4x4x4). How many numbers are there below 800 that are both square and cube numbers (including 64)?


The answer is 3.

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2 solutions

Miles Koumouris
Oct 15, 2017

You should clarify that the numbers are positive, otherwise 0 0 is a candidate.

Sheryl-Lynn Tan
Sep 6, 2017

The numbers are 1, 64 and 729.

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