GeekDad Puzzle of the Week – Palindromic Products

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The smallest three-digit palindromic product of two, two-digits numbers happens to be a perfect square: 11 x 11 = 121. The largest three-digit palindromic product of two, two-digits numbers is 999 = 37 x 27, and the smallest four-digit palindromic product of two, two-digit numbers is 1001 = 91 x 11. The largest four-digit palindromic product of two, two-digit numbers? 91 x 99 = 9009.

Palindromic numbers from around the interwebs.
Palindromic numbers from around the interwebs.

This week’s Geekdad Puzzle of the Week is straightforward: What are the largest and smallest palindromic products of the appropriate set of digit-sizes for each of three, four, and five-digit numbers? Note that like two-digits numbers, above, there may be more than one digit-size applicable.

As always, for your chance at a $50 ThinkGeek Gift Certificate, please email your answers into GeekDad Central by end of day Friday. Happy puzzling, and good luck!

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