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IMSO 2012 - Mathematics - Essay Question 13

IMSO Maths · IMSO 2012 - Mathematics - Essay

Question 13

The diagram below shows six distinct positive integers in a ring and the sum of any two neighboring numbers is a perfect square.

Question illustration

The below diagram is to be filled with six different positive integers such that it has the same property. If $X\le20$, find all possible values of $X$.

Question illustration