perplexus.info :: Numbers : Squares and Cubes

Squares and Cubes (Posted on 2003-12-06)

What are the two smallest positive whole numbers the difference of whose squares is a cube and the difference of whose cubes is a square ?

See The Solution Submitted by Ravi Raja

Rating: 3.7500 (4 votes)

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The second solution?

| Comment 2 of 21 |

Apart from all trivial N,N solutions, 6 and 10 also works out.

10^3-6^3=784=28^2

10^2-6^2=64=4^3

Posted by Federico Kereki on 2003-12-06 11:10:42

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