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 >>