perplexus.info :: Numbers : Pandigital and Pretty Powerful

Pandigital and Pretty Powerful (Posted on 2009-03-23)

Determine all possible value(s) if a positive integer N such that the two distinct perfect powers of N will together contain each of the decimal digits 0 to 9 exactly once. None of the perfect powers of N can contain any leading zero.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The only possible values for N are 2, 18 and 69.

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
re(2): computer solution	Daniel	2009-03-23 18:01:16
re: computer solution	Charlie	2009-03-23 12:01:24
Basic computer solution	Charlie	2009-03-23 11:54:31
computer solution	Daniel	2009-03-23 11:47:27

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