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Seven into five

ENIGMA is a number in which the letters denote different digits. The numbers corresponding to IN, GIN, GAIN, GAMMA and ENIGMA, in which there are no leading zeroes, are divided by 7 and each has remainder I (I as in Ink). Find the maximum value ENIGMA can take.

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 7 September. The Editor’s decision is final. Please send entries to Enigma 1658, New Scientist, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1652 A colourful lamp: 9 colours, 621 tetrahedra

The winner Tony Harker of Oxford, UK

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