Enigma 1529: Square corbel
15 July 2012
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From New Scientist #2692, 24th January 2009 [link]
I invite you to fill in the grid with non-zero digits so that each row is a perfect square with different digits and each row contains all the digits in all rows below it. In no case must a digit be identical with the one below or above it. This can be done in several different ways.
(a) Find an example with the number in the top row divisible by 3.
(b) Find an example in which the number in the right-hand column is palindromic.
In each case what is the number in the top row?