10th ibmo - chile 1995/q1.
Source: Spanish Communities
May 7, 2006
number theorynumber theory unsolved
Problem Statement
Find all the possible values of the sum of the digits of all the perfect squares.[Commented by djimenez]
Comment: I would rewrite it as follows:
Let such that is the sum of all the digits of the number . Find the image of (where, by image it is understood the set of all such that exists an with ).