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Enigma Number 1664

Summer sextet

My nephew Ignatius has set me a problem. He has written down the digits 0 to 9 in ascending order, and has struck out zero and three other digits. He assigned the remaining six, in ascending order, to the letters P, A, Y, E, R and S, respectively. He then produced the sum shown, translated from six three-digit numbers, and their total.

To what number does PAYERS correspond?

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 19 October. The Editor’s decision is final. Please send entries to Enigma 1664, New ÐÓ°ÉÔ­´´, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1658 7 into 5: The maximum value of ENIGMA is 983720

The winner David Barley of Gillingham, Kent, UK

Enigma Number 1664

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