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A trawl through the archive reveals a minimum trio of squares

Jim Howson
Tuesday 25 August 2009 04:43

Way back in December 2003, our column was based on the integers 80, 320 and 41.

What makes this triad unusual is the fact that, if we designate them A, B and C; A+B, A+C and B+C are all squares (20, 11 and 19 squared).

Recently, going through some old files, I realised that the late Paul Barnetson - a regular contributor of puzzles over many years - had discovered the smallest possible instance of this phenomenon, where the A+B+C total was only 81, rather than 441 as above.

Can you find this minimum triad?

Find the solution online >>