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

Pandigital and Pretty Powerful III (Posted on 2009-05-12)

Determine all possible triplet(s) (P, Q, N) of positive integers, with P < Q and N ≥ 3, such that the decimal representations of P^N and Q^N will together contain each of the digits 0 to 9 exactly once. Neither P^N nor Q^N can contain any leading zero.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(P, Q, N) = (21, 93, 3) is the only possible triplet that conform to all the given conditions.

For an explanation, refer to the solution submitted by Daniel in this location, and the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Version in Basic	Charlie	2009-05-12 15:11:21
re: computer solution	ed bottemiller	2009-05-12 14:27:12
Starter	ed bottemiller	2009-05-12 13:50:34
computer solution	Daniel	2009-05-12 13:10:34

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