2019 Cono Sur Mathematical Olympiad, P2
Source:
August 28, 2019
number theoryDigits
Problem Statement
We say that a positive integer with digits is hypersquared if the following three conditions are met:[*] is a perfect square.
[*]The number formed by the first digits of is a perfect square.
[*]The number formed by the last digits of is a perfect square and has exactly digits (its first digit is not zero).Find a hypersquared number with digits.