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PUZZLET 163

The Difference of Two Squares

The difference of two squares b and a (b2 - a2), where b and a are two 3-digit integers and a is less than b, is equal to the concatenation ab.

Here's an example of how this works:
5132 - 2162 = 216513, and if we concatenate 216 with 513 we get 216513.

formula

Find all other examples with two 3-digit integers.


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Last Updated: January 15th, 2010.