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Fifth-division clincher

ENIGMA is a six-digit number in which all the digits are different and non-zero. When ENIGMA is divided by 19, or 17, or 13, or 11, or G, the remainders are, respectively, 17, 13, 11, 7 and I (I as in India). Find ENIGMA.

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 22 June. The Editor’s decision is final. Please send entries to Enigma 1647, New Å®ÉúСÊÓƵ, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1641 3×3=1: the magic constant is 123

The winner Alan Jones of Daventry, Northamptonshire, UK