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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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Hints/Tips re(3): computer solutioNs ....NOT YET | Comment 5 of 6 |
(In reply to re(2): computer solutios by Charlie)

The corrected program still does not comply with the explicit definition: A, B and C - none of which is a perfect cube.

  Most of your numbers do not qualify:
1,125,343,729  etc etc

  Posted by Ady TZIDON on 2013-09-29 20:44:51
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