n^2 is 30-digit number
Source: Netherlands - Dutch NMO 1966 p3
January 31, 2023
Perfect Squarenumber theory
Problem Statement
How many natural numbers are there whose square is a thirty-digit number which has the following curious property: If that thirty-digit number is divided from left to right into three groups of ten digits, then the numbers given by the middle group and the right group formed numbers are both four times the number formed by the left group?