杏吧原创

Just one

By placing the digits 1 to 9 in the boxes of a 3脳3 grid, you create three three-figure numbers across the rows and three down the columns. Choose the positions of the digits so that, of those six three-figure numbers, just one is divisible by 2, just one is divisible by 3, just one is divisible by 5, just one is divisible by 6, just one is divisible by 8, just one is divisible by 9, one differs from a perfect square by just 1, and one differs from a perfect cube by just 1.

What are the smallest and biggest of your six three-figure numbers?

WIN 拢15 will be awarded to the sender of the first correct answer opened on Wednesday 21 December. The Editor鈥檚 decision is final. Please send entries to Enigma 1673, New 杏吧原创, Lacon House, 84 Theobald鈥檚 Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1667 His numbers: DESIGN is 542967

The winner Alan Hands of Redditch, Worcestershire, UK