The Difference of Two Squares

The
difference of two squares b
and a (b^{2} - a^{2}), 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: 513 ^{2} - 216^{2} = 216513, and if we concatenate 216 with 513 we get 216513. |

Find all other examples with two 3-digit integers. |

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Last Updated: January 15th, 2010.