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Enigma Number 1759

By Richard England

24 July 2013

Cell count

On a sheet of paper divided by horizontal and vertical lines into 1cm x 1cm cells I drew a circle whose centre was at a point where lines intersected and whose radius was an integral number of centimetres (less than 50). I counted the number of cells that the circumference of my circle passed through.

The circumference of a circle whose radius was 1cm smaller would have passed through a greater number of cells. How many cells did the circumference of my circle pass through?

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 21 August. The Editor’s decision is final. Please send entries to Enigma 1759, Âé¶¹´«Ã½, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1753 Divisible in reverse: The numbers are 32946 and 52486

The winner Josh Kopp of Chagrin Falls, Ohio, US

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