Is there more than one?

Number Theory Level pending

The ordered pair of four-digit numbers \((2025,3136)\) has the property that each number in the pair is a perfect square and each digit of the second number is \(1\) more than the corresponding digit of the first number.

Find the sum of all ordered pairs of five-digit numbers with the same property.

if you find two pairs \((a,b)\) and \((c,d)\) submit the answer as \(a+b+c+d.\)

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