perplexus.info :: Numbers : N^3 and N^4

N^3 and N^4 (Posted on 2024-06-29)

Determine all values of N and b, (2 ≤ b ≤ 36), such that the base b representations of N^3 and N^4 combined include each digit from 0 to b-1 exactly once.

No Solution Yet Submitted by K Sengupta

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One solution is N=18, b=10

In base 10: 18^3 = 5832 18^4 = 104976

[Edit: I believe this is the only solution for bases 2 to 36]

Edited on June 29, 2024, 10:59 pm

Posted by Larry on 2024-06-29 13:52:52

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