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Sunday Times Teaser 2568 – Ending 2011

by Adrian Somerfield

Published: 11 December 2011 (link)

I have written down three positive whole numbers consisting of two primes and a perfect square. Between them they use nine digits and no digit is repeated. If you form an addition sum with the three numbers, then what do you end up with as the total? Appropriately enough you end up with 2011. What, in increasing order, are the three numbers?

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