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Enigma Number 1760

By Peter Chamberlain

31 July 2013

Squares and cubes

Each of the 12 white squares in the cross-figure grid shown is to be filled with a single digit. The four two-digit numbers and the four three-digit numbers created are either perfect squares or perfect cubes. These squares and cubes are all distinct, and one of the down answers is both a square and a cube. What are the answers to 6 across and 7 across?

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 28 August. The Editor’s decision is final. Please send entries to Enigma 1760, Âé¶¹´«Ã½, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1754 Elementary: There are 18 letters

The winner Andrew Cudbertson of Gorsedd, Flintshire, UK

Âé¶¹´«Ã½. Science news and long reads from expert journalists, covering developments in science, technology, health and the environment on the website and the magazine.

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