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by Brian Gladman on June 4, 2017

Sunday Times Teaser 2854 – Power Surge

by Andrew Skidmore

Published June 4 2017 (link)

I recently checked my energy bills. I noticed that the account numbers for my electricity and gas are two different six-figure numbers, and that one is a multiple of the other. The electricity account number is a perfect cube and the sum of its digits is a perfect square. The gas account number is a perfect square (and, as it happens, the sum of its digits is a perfect cube!).

What is the gas account number?

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