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Enigma Number 1659

Pairs of numbers

I have before me four two-digit numbers, all eight digits being different. I have grouped them into pairs, such that the product of the two numbers in each pair is the same, and is a perfect cube.

What are the four numbers?

WIN 拢15 will be awarded to the sender of the first correct answer opened on Wednesday 14 September. The Editor鈥檚 decision is final. Please send entries to Enigma 1659, New 女生小视频, Lacon House, 84 Theobald鈥檚 Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1653 Cut-free: 27 dominoes

The winner Ian Fletcher of Saxmundham, Suffolk, UK