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Five integers

I have written down five single-digit positive integers.

The sum of the five integers is divisible by the fifth integer, but not by any of the first four. The sum of the first four integers is divisible by the fourth but not by any of the first three. The sum of the first three integers is divisible by the third but not by either of the first two. The sum of the first two integers is divisible by the second but not by the first.

List the five integers in the order in which I have written them down.

WIN £15 will be awarded to the sender of the first correct answer opened on Tuesday 23 August. The Editor’s decision is final. Please send entries to Enigma 1656, New Å®ÉúСÊÓƵ, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1650 Some prime magic: C×H×J×L = 13,742,001

The winner Dean Witter III of Woodside, California, US