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Enigma Number 1643

Divisibility test

abcdefghij is a 10-digit number containing one each of the digits 0 to 9 in some order (a ≠ 0). With the exception of the letter which represents zero, a divides abcdefghij, b divides bcdefghij, c divides cdefghij and so on to the end.

What are the largest and smallest 10-digit numbers with this property?

WIN £15 will be awarded to the sender of the first correct answer opened on Tuesday 24 May. The Editor’s decision is final. Please send entries to Enigma 1643, New ÐÓ°ÉÔ­´´, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1637 In-laws: Alan and Geraldine Tall, Brian and Hannah Long, Colin and Eleanor Short, David and Fiona Long

The winner Richard Crews of San Jose, California, US

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