Question 17
A natural number $N$ greater than $10$ is called a “supersquare” if the number formed by every two consecutive digits of $N$ (in the same order) is always a perfect square. For example, $8164$ is a supersquare because $81$, $16$, and $64$ are perfect squares. Other examples are $25$ and $649$.
(a) How many supersquares are there?
(b) What is the largest supersquare?
(a) How many supersquares are there?
(b) What is the largest supersquare?