Enigma 1401: Pandigital squares
17 August 2013
Posted by on
From New Scientist #2561, 22nd July 2006
Harry, Tom and I each found a four-digit perfect square and two three-digit perfect squares that between them used all the digits 0-9. No two solutions were identical. If I told you how many squares my solution had in common with each of the other two solutions you could deduce with certainty which squares formed my solution.
(1) Which squares formed my solution?
(2) Which square or squares (if any) did Harry’s and Tom’s solutions have in common?