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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 please send in the number in the top row.

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 25 February. The Editor’s decision is final. Please send entries to Enigma 1529, ¿ìè¶ÌÊÓƵ, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1523 Dicey numbers: 1111111155555556

The winner Tom Marsh of Bourton-on-Dunsmore, Warwickshire, UK