perplexus.info :: Numbers : N^2 and N^3

N^2 and N^3 (Posted on 2023-11-03)

Find all values of N and b, (2 ≤ b ≤ 36), such that the base b representations of N^2 and N^3 combined include each digit from 0 to b-1 exactly once.

No Solution Yet Submitted by Larry

Rating: 5.0000 (1 votes)

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Puzzle Thoughts

Comment 2 of 2 |

There seems that there is only 1 solution in base 10, which is given by N=69.

Posted by K Sengupta on 2023-11-08 21:11:05

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