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

Pandigital and Pretty Powerful II (Posted on 2009-05-06)

Find all possible positive integer(s) N, such that the decimal representation of the sum of two distinct perfect powers of N consists of non leading zeroes and contains each of the digits from 0 to 9 exactly once.

Submitted by K Sengupta

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Solution: (Hide)

N = 264, 2016, since:

264^4 + 264^3= 485732416 + 18399744 = 4875932160, and:
2016^3 + 2016^2= 819354096 + 4064256= 8197604352

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
basic computer solution	Charlie	2009-05-06 13:10:35
computer solution	Daniel	2009-05-06 11:51:47

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