perplexus.info :: Numbers : Pandigital and Pretty Powerful VI

Pandigital and Pretty Powerful VI (Posted on 2023-11-13)

Determine all possible triplet(s) (P, Q, N) of duodecimal positive integers, with P<Q and N≥3, such that the base 12 representations of P^N and Q^N will together contain each of the digits 0 to B exactly once. Neither P^N nor Q^N can contain any leading zero.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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if the puzzle had allowed N=2

| Comment 2 of 3 |

(In reply to computer solution by Charlie)

146 3478 2

1A830 B576294

182 3431 2

29A84 B307561

1AB 2522 2

37921 5AB6084

335 2866 2

A9581 742B630

344 2351 2

B3694 52807A1

Posted by Charlie on 2023-11-13 09:56:11

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