Sunday Times Teaser 2598 – Die Hard
by Victor Bryant
Published: 8 July 2012 (link)
I have placed three identical standard dice in a row on a table-top, leaving just eleven faces and an odd number of spots visible. Regarding each face as a digit (with, naturally enough, the five- spotted face being the digit 5, etc) from the front I can read a three-figure number along the vertical faces and another three-figure number along the top. Similarly, if I go behind the row I can read a three-figure number along the vertical faces and another three- figure number along the top. Of these four three-figure numbers, two are primes and two are different perfect squares.
What are the two squares?