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Cube Arranger (Posted on 2024-03-22) Difficulty: 3 of 5
Find the smallest distinct positive integers, M and N such that you can rearrange the digits of M to get N, and you can rearrange the digits of M3 to get N3. [Leading zeroes are not allowed.]

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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A guess | Comment 2 of 3 |
102^3 = 1061208
201^3 = 8120601

This was based on the observation 12^2 and 21^2 are reversals as are 13^2 and 31^2.  The extra 0 compensates for carries.

I don't know if there is a two digit solution though.


  Posted by Jer on 2024-03-22 09:10:46
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