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Enigma Number 1593

Three squares

On three identical square cards I wrote 3 × 3 magic squares (where the sums of each row, column and major diagonal are equal) using the numbers 1 to 9 on the first, 10 to 18 on the second and 19 to 27 on the third. I formed them into a sandwich in some order. I then found that I could push a pin through the cards so that it passed through three multiples of three. Furthermore, writing the three numbers in order along the pin gave a five-figure perfect square. One number on the middle card was sandwiched between two perfect squares on the other cards. Which number?

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 2 June. The Editor’s decision is final. Please send entries to Enigma 1593, ¿ìè¶ÌÊÓÆµ, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1587 Deja vu: The number is 9

The winner Dean Witter III of Woodside, California, US

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