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Enigma Number 1650

By Gwyn Owen

8 June 2011

Some prime magic

The diagram on the right is a magic square in which the letters A, B, …P, Q each represent a positive whole number not exceeding 200. Taken together, the 16 letters form, in some order, an arithmetic sequence of 16 terms. The letters E, N, I, G, M and A form, in that order, an increasing arithmetic sequence of six prime numbers.

A B N C

D F H G

M J E K

L I P Q

Find the product C × H × J × L.

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 13 July. The Editor’s decision is final. Please send entries to Enigma 1650, Âé¶¹´«Ã½, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1644 Same goal average: Albion’s scores were 3-3 (against Borough), 3-0, 3-1 and 3-2

The winner John Shrimpton, Kirkby-in-Furness, Cumbria, UK

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