Enigma Number 1679

4 January 2012

Welcome to 2012

I have written down three 3-digit integers which between them use nine different digits. Their sum is 2012. One of the three integers is a perfect square.

I have also written down another three 3-digit integers which between them use nine different digits. Their sum is also 2012. One of the three integers is a perfect cube.

What are (a) the perfect square, and (b) the perfect cube?

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 29 February. The Editor’s decision is final. Please send entries to Enigma 1679, �鶹��ý, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

The solution to and winner of Enigma 1673 will be in the 14 January issue

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