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Programming Enigma Puzzles

19 November 2012

Posted by on **From New Scientist #2651, 12th April 2008**

Harry, Tom and I were looking to find 5-digit perfect squares that used only even digits. 0 counted as an even digit but could not be used as a leading digit or a final digit.

We each found a different set of three such squares, and in each of our sets each of the five even digits was used a different number of times.

My set had two squares in common with Harry’s set and two squares in common with Tom’s set.

What were the three squares in my set?

[enigma1489]

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The following Python program runs in 37ms.

Solution:The three squares in Dick’s set are 26244, 68644, 88804.