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Toot

Written by LambdaDuck on 2023-10-14 at 16:15

silly math puzzle: a nice number is one where the digits (in base 10) you get if you square it and cube it cover the digits 0-9 exactly once. can you find all nice numbers?

For example: 4 is not a nice number because 42=16 and 43=64, so we only have the digits 1, 4 and 6 and additionally the digit 6 occurs twice

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Descendants

Written by λTotoro on 2023-10-14 at 17:02

@LambdaDuck

Devastated to find out that 69 is not a nice number! 😔

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Written by λTotoro on 2023-10-14 at 17:12

@LambdaDuck never mind, I didn't read the instructions carefully and thought it meant you square the number and then cube the result. 🤦

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Written by λTotoro on 2023-10-14 at 17:16

@LambdaDuck in fact, that was the exact complement of the correct answer. I think 69 is the only one.

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Written by LambdaDuck on 2023-10-15 at 00:10

@lambdatotoro yeah, i struggled to find a way to express it without causing that confusion!

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