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.

(In reply to computer solution by Daniel)

The link given indicates that:

"A perfect power is a number n of the form m^k, where m>1 is a positive integer and k>=2", while n^0 and n^1 do not fit the k>=2 criterion.

Edited on March 23, 2009, 12:05 pm

Posted by Charlie on 2009-03-23 12:01:24