The Digits ABCABD
Number Theory
Level
3
How many possible 6 digit numbers are there of the form \( N=\overline{abcabd} \) where \( a \neq 0, d \neq 0\), \(d = c + 1 \) and \( N \) is a perfect square?
Details and assumptions
The condition of \(a \neq 0 \) follows because we have a 6 digit number.
The condition of \( d \neq 0 \) follows because \( 0 \neq 9 + 1 \).
by
Calvin Lin