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#34 Square dealing
set by Phil Lloyd
If a2 + b2 = c2, and a, b and c are three consecutive positive integers, what is the value of a? (You may know an example of a famous theorem that fits here.)
If d2 + e2 + f2 = g2 + h2, where d, e, f, g and h are five consecutive positive integers, what is the value of d?
After that, the next two sequences in this family have seven and nine consecutive positive integers. They start with 21 and 36. What do you notice about the…
Article amended on 28 August 2024
Orkney is off the coast of mainland Scotland
