Question 102
Three odd numbers $a\lt b\lt c$ are called consecutive if $c-b=b-a=2$. Call an integer “special” if all its digits are equal and it can be written as the sum of the squares of three consecutive odd numbers.
a) Determine all four-digit special numbers.
b) Are there any special numbers with $2000$ digits?
a) Determine all four-digit special numbers.
b) Are there any special numbers with $2000$ digits?