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Source: Maths Jam

Can you order the integers 1 to 16 so that every pair of adjacent numbers adds to a square number?

For which other numbers \(n\) is it possible to order the integers 1 to \(n\) in such a way?

If you enjoyed this puzzle, check out Sunday Afternoon Maths LXII,

puzzles about doubling, or a random puzzle.

puzzles about doubling, or a random puzzle.