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Adjacent Square Sum II (Posted on 2021-07-15) Difficulty: 3 of 5
The task in the problems Adjacent Square Sum is:

Arrange the numbers 1 to 15 inclusively in a straight line in such a way that any two adjacent numbers add up to a perfect square.

Suppose we are instead asked to arrange 1 to n instead.

(1) Show that this is not possible if 1<n<15.

(2) Show that there are solutions for n=16 and n=17.

(3) Find the next value of n>17 for which there is a solution.

No Solution Yet Submitted by Jer    
Rating: 5.0000 (2 votes)

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  Subject Author Date
Solutioncomputer solution (spoiler)Charlie2021-07-15 12:07:01
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