1. Let's call the number as XYZ
2. XYZ + a ^ 2 = Perfect square while XYZ - a^2 is a Prime number
3. XYZ + b ^ 2 = Perfect square while XYZ - b ^2 is again a Prime number
4. Suffix a digit W and XYZW is a perfect square again
5. XYZ itself is unique in some sense
2. XYZ + a ^ 2 = Perfect square while XYZ - a^2 is a Prime number
3. XYZ + b ^ 2 = Perfect square while XYZ - b ^2 is again a Prime number
4. Suffix a digit W and XYZW is a perfect square again
5. XYZ itself is unique in some sense
There is more than one three digit number which satisfies this criteria
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