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Problems > The Maine Page > 2002

Thanks, Soroban

After last week's problem, Soroban emailed me a more 'generalized' statement, from which this week's problem is derived.

Let x, y be integers.

Prove: If a + bi = (x + yi)3 then

a2 + b2 is a perfect cube.

For those of you who solved last week's problem, this one should be easy; if you had trouble with last week's, check the solution, and that should help you solve this one!

View the solution
Complex Proof
Euler's Number

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