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Imperfectly Cubed (Posted on 2013-09-29) Difficulty: 3 of 5
Consider three distinct odd positive integers A, B and C - none of which is a perfect cube.

Can the respective cube roots of A, B and C form three consecutive terms of an arithmetic sequence?

If so, provide an example. If not, prove it.

No Solution Yet Submitted by K Sengupta    
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re: computer solutios | Comment 3 of 6 |
(In reply to computer solutios by Charlie)

YOUR PROGRAM IGNORES THE REQUEST "...Consider three distinct odd positive integers A, B and C - none of which is a perfect cube.

125,343,729 ...all of them are "perfect cubes". 


There numerous appearances of those or similar cubes.

Please edit.


  Posted by Ady TZIDON on 2013-09-29 13:33:22
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