perplexus.info :: Numbers : Pandigital and Doubly Pandigital

Pandigital and Doubly Pandigital (Posted on 2009-06-02)

Determine all possible triplet(s) (P, Q, N), where each of P and Q is a five digit positive base ten integer with P > Q and P*Q = N, such that:

P and Q together contain each of the digits from 0 to 9 exactly once, and:
N contains each of the digits from 0 to 9 exactly once, and:
N² contains each of the digits from 0 to 9 exactly twice. Neither N nor N² can contain any leading zero.

Submitted by K Sengupta

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Solution: (Hide)

(P, Q, N) = (62037, 54981, 3410856297) is the only possible triplet that conforms to all the given conditions.

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

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

Subject	Author	Date
agreement with computer solution	Dej Mar	2009-06-03 02:02:37
computer solution	Charlie	2009-06-02 14:02:33

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