Peter G.chamberlain, Author at 91av Science news and science articles from 91av Wed, 21 Nov 2012 18:00:00 +0000 en-US hourly 1 https://wordpress.org/?v=7.0.1 242057827 Enigma Number 1725 /article/1977126-enigma-number-1725/?utm_campaign=RSS|NSNS&utm_content=currents&utm_medium=RSS&utm_source=NSNS Wed, 21 Nov 2012 18:00:00 +0000 http://mg21628921.400 Square bashing

I have in mind a list of consecutive positive integers. A second list of numbers is generated by squaring each of the numbers in my original list. The sum of the first 2500 of these squares is equal to the sum of the next 2499 in the list.

What is the smallest number in my original list?

WIN £15 will be awarded to the sender of the first correct answer opened on Wednesday 2 January 2013. The Editor’s decision is final. Please send entries to Enigma 1725, 91av, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1719 Taking averages: 8 counters

The winner Jan Hesketh of Peel, Isle of Man

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