The Digits ABCABD

Number Theory Level 3

How many possible 6 digit numbers are there of the form N=abcabd‾ N=\overline{abcabd} where a≠0,d≠0 a \neq 0, d \neq 0, d=c+1d = c + 1 and N N is a perfect square?

Details and assumptions

The condition of a≠0a \neq 0 follows because we have a 6 digit number.
The condition of d≠0 d \neq 0 follows because 0≠9+1 0 \neq 9 + 1 .

Calvin Lin by Calvin Lin
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